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8/3/2019 Music Theory for Guitar http://slidepdf.com/reader/full/music-theory-for-guitar 1/68 ~~' ,", ~/".',/~. FOR GUITAR TO'IHiE ESSI!NTIAlS eire Ie 101' Flrflhs, lliads nlSposlr~on lec,ondury Domilnol'ilf~S

Music Theory for Guitar

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Page 1: Music Theory for Guitar

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~~' ,",

~/".',/~.

F O R

G U I T A RT O 'IH iE E S S I!N T IA lS

eire Ie 1 0 1 ' F l r f l h s ,

llia d s

n lSpos l r~on

lec,ondury Domi lnol ' i l f~S

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F O R

G U I T A R

2 Foreword and Playing Guide

3 Guitar Tablature Guide

4 Whole Steps and Half Steps

6 Major Scale Pattern

8 Circle of Fifths

10 Intervals

12 Triads

14 Diatonic Triads

18 Transposition

20 Seventh Chords

22 Dominant Harmony

24 Secondary Dominants

28 The Relative Minor

31 Answers to Exercises

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Music theory is the language of musical

construction. Understanding it will help you

play better and improvise better. It will give

you the tools to write better songs and to

better understand other Artist's songs you

have learned.

In this book you will learn many of the basics

of how the music you listen to is constructed.

FOREWORD

To get the most out of this book: Third -Try to use the tools you are learning

to analyze music that you play.

First - Go through the book in sequence.

Each idea introduced in the book is built on

the ideas introduced before it.

Fourth - Refer back to the book periodically.

Understanding will come gradually with

repeated exposure to these ideas.

Second - Work out all the examples.

They will help you put the ideas you are

learning into practice, and help you use

these ideas sooner.

Fifth - Don't give up!! It may take a while,

but theory will make sense to you if you

stay with it.

PLAYING GUIDE

Musical examples in this book are written in both standard music staff notation and tablature.

Standard Notation

II 12OJ f. _ . _

LI-

•r'\ '"'\ . . . . . _ . . . . _

tJ - . . - , J • - I

-

~

. . ,. ... . u ~

T I't.I

A . . ."ft

U

. . . . . . . . ftU "-n - "

&.

U

2

Tablature

Rhythm slashes are used to indicate strumming patterns for chords.

) J J ) JII ~~ -vi ill

' ". . . . . .r-.' "'U

tJ

I~- .r

ATO

D ._

-

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GUITAR TABLATURE GUIDE

Guitar tablature (TAB) is a special staff that graphically represents the guitar fingerboard.

Each line represents a string of the guitar .. The numbers on these lines indicate at which

frets to place your fingers. A " a " on a I:ineindicates an open string,

~ r~ I I I I I I

10

I I

5

i i0

2

Open 5th String 2nd String 1st String3rd String 2nd Fret 10th Fret 5th Fret

LEGEND OF SPECIAL GUITAR TECHNIQUES

8" ,- .. - .. - .. -- ',. 8'" .. ,---- ----, i : l '" - - - - - - - - - - - - - - - , s= ••• - . ..... - . ..... ---- .. .. --

•••••••••ft A A A~ , . u. - -_ _

• .~

,_~

, " n,.,J':I:

@ .l I I I

112 full full

t t t~.. .. Qo ... Qo .. Qo . . . Q o.

. . . . . . , .n J .,j . . . . ' .. ..."

, " ' ' ' '• , . . . , . . . .'

. . . ~"") . . . .

A

t nBend

(half step)Bend Bend and Release Vibrato

(whole step)

k"' ------------------------, &- ----------------, fl~ --------------------------

- - - - - - - - - - - -A - - - . . . . "....-.. -~ • • • .- - .~ • -':I: I"" r: I"" ~ -l'n I

"q . . . . . -

full

t ,..--...

- - - - - - - - - - - - - - - - - - -- . - .' "

. . . . . , ,. ,. . ,- , . . . . . -, . . . . . . . , - n , . . . , . .I • '''' • ', . . . . . . . " . . .

r ' 1'-1 I' IV II 1-'

d I

III I

tJU I

Prebend(string bent

before picking)

Pull-Off Hammer-On Slide lega:o P" ' ras: . " - 'g00 0"; -....s

-

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WHOLE STEPS AND HALF STEPS

The basic building block of Western music is the half-step.

Pictured below is piano keyboard with the keys named:

The notes produced by striking these keys are called the natural notes. Notice that if you move up

the keyboard starting at C and striking each key (including black keys) until you reach the next C note

(one octave higher)., you will move up twelve times. Each of these moves is one half step.

Here is guitar tablature for this exercise:

r. I I 1 IO JIi . . . •~ . . . !If • • -\: . . . • . • - i/f-

~ . . . ~ . . . • H· "

. . . . .•ATo I'l A

'" ',. . ~ _"l_

,. . . . . . . . ,. . . . . . . . . .. . ~-D .;J . . . . ~ u ,

U i:7 IV •I • . 0: ;. Iv , . . . I",

Notice here that each move up is a move of one fret. The distance from one fret to the next

fret on the guitar is a distance of one half step.

Two half steps equal one whole step. On the guitar the distance of two frets equals one whole step:

" q1~..'\: q

I~ 4 0 . e - o

I

TA n

fl. ~ ~ ~ v

» . . . . . . .. ,

The distance between two notes is the same regardless of where you play them on the guitar.

For instance, the distance from C to 0 is always a whole step whether played on the

same string (first example) or on different strings (second example).

-

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Referring back to the piano keyboard diagram, notice that the only half steps that occur

between natural notes are the half step between E and F, and the half step between Band C.

The distance between all the other adjacent natural notes are whole steps.

Between each of the natural notes that are a whole step apart is another note, called an accidental

or chromatic which is played by a black key on the piano, or by the fret in between the two natural

notes on the guitar.

For example, between C and D:

C#or D~

fIy

r ~v

~ . . ~;. W·) ~.

_L[1 ~.1

A .To .."

"

~D . . . .

"T >

This note can be thought of in two ways - as a lowered D which would be caned Db ( 0 fiat),

or as a raised C, which would be called C#(C sharp).

Here is a keyboard diagram and guitar tablature for all twelve notes in one octave. (An octave, by the

way is given that name because the note names begin repeating eight natural notes above the first):

~

- ~ ~ J q J n J ( l ; J ) ~ J~ # J ( ~ ~ ) ~~ I~~,~j~

~ ~ § • . ;f t · ~ ~ = jL

. .1 ':

IC#{G) D D#(6) E 'F F#(G~) G G#(AIo) A A#(BJ. ) B C

o 1 2 3 4

• -5; - ....."..-;::--:::: ....erember that the natural half steps fall between E and F and between Band C,

a . : . .. ..~ a: &a :::. ~ .:Ja . ey (or chromatic) can represent two different notes, a sharp note and a at rate.

-_"_ 3' .

_ =&

= . . .: - :: > . . . .

g'"tt"tey are played at the same key or fret. Notes that sound the SaIT'e

such as C# and D,) are called enharmonics.

-

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MAJOR SCALE PATTERN

A Major scale is the easiest and most logical way to organize the notes belonging to one

Major key. All music theory is derived from the Major scale.

Here are the natural notes again, this time with whole and half steps marked:

f\ I I IOJ

~ . . . •' r\ . . . • -.: J . . . • -~ . . • -

Lhole -- whole -- half -- whole -. - whole --. whole half_jstep step step step step step step

. . . . . . . .ft_ . .J_ . . . ,. . \I I

A . . . . . . . . _ . . . u jJ;.

~ . . U L v. . . , oJ

There are two things to notice here:

1. Pattern of steps. First there are two whole steps, then one half step, then three whole

steps, and finally one more half step. This pattern holds for every Major scale.

2. Sequence of note names. All Major scales proceed through each note name in

sequence - no skips, no repeats. (It is this ladder-like pattern that gives rise to the

word scale, which is derived from the Greek word sceelum, which means ladder.)

Let's see how this would work i f we started on G instead of C:

f\ I I j I I J J~ . . . • -• -,'T\ • -~J -~

Lhole -- whole -. - half -- whole -- whole half whole.Jstep step step step step ,. . step

__oL

step . . .~ _d . . . . . \I I oJ

J_ . . . . . . \I WI

A u L

TOj_J

Everything is alright until you get to FYou need a whole step between E & F, but we have a half-step.

What can you do???

Well, you could use the black key between F and G rather than the white

key F . That would give you the correct sequence of whole and half steps.

This note can be called F# or G b . .

Which would you call it??

You must call it F# otherwise you would be skipping a note name and repeating

another which goes against rule 2 above.

This gives us a third rule:

3. Sharps or flats. A Major scale may contain sharps or flats, but not both.

-

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Here .isthe corrected G Major scale:

fI 1_ L I J I ~ J Ii

\I . . . • 1If-. . . • -"1"\ • -.;

@ .l

Lhole -- whole -'-'half -' - whole .-- whole -- whole half_j

Itep step step step step step step

n . . . . . . .,.".,

. . . . . . . . . . ~ " ".l . . . . . . . . . . I oil

4- . . . I&.

riu t.

Let's try a scale starting on F:

"1 I I I I . . .

\I . . . . ' -. . • -"

1"\ • -\.:J • -@ .l

Lhole -' - whole --whole -_. _. half ' whole--- whole half_jstep step step step step step step. . .

, . . . , . . . . . . . . . . . ..l 1'1. . . . . U I oil

4- . . . . . . . ~

L~ ~ ,, II 1

What do you do about the whole step between A and B where you need a half step??

You flat the B, and everyth.ing falls into place:

"

I' I I j I J. . .• -

~h.

• -,

,"\ . . . • v- •, • -. ~

Lhole -- whole -- half - whole -- whole -..--. whole half_j

step step step step step step. . . .

step

,."., . . . u I, ,.l . . . . . . . . . . I

" "4- . . . . u ~ oJ

n oiJ

U

Here are some exercises for you to try:

Make Maj'Orscales starting on the following notes:

1.0

2.A

3. E

4 . Bb

5. a6. A b

Answers are on page 31.

-

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CIRCLE OF FIFTHS

The circle of fifths is a handy tool for finding the sharps and flats in any given Major scale.

The ability to find the sharps or flats in a given key quickly is a very important musical skill, so

you will find it helpful to memorize the circle of fifths and to learn how to use it.

Here is a diagram of the circle of fifths:

Fifths

First #

C

G

1 1

D

2 2

Eb

~ #3 Keys Keys 3 A

F# / G b

You can find a lot of information in this circle.

It will tell you how many sharps or flats are in a given key.

It will tell you which notes are flatted or sharped.

It will give you information about chord relationships within a key.

-

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The left side of the circle lists keys containing flats. The right side lists keys containing sharps. The top of

the circle shows the key of C Major which has no sharps or flats. The bottom of the circle shows the key of

F# Major or Gb Major which contain six sharps or six flats respectively.

The numbers inside the circle tell you how many sharps or flats (depending on which side of the circle you

are on) a given key contains. For example, on the right side of the circle, the key of G Major has 1 sharp,

the key of D Major has 2 sharps, the key of A Major has 3 sharps, etc. On the left side, the key of F Major

has 1 flat, the key of Bb Major has 2 flats, the key of Eb Major has 3 flats, etc.

The circle will also tell you which notes are sharped or flatted.

For sharp keys, start with the number 1 sharp (F#) and count the required number clockwise.

Thus, the key of E Major has 4 sharps, Starting with the number 1 sharp (F#), count clockwise around :he

circle: F, C, G, D. E Major, then will have all F's, C's, G's and D's sharped!

For flat keys, start with the number 1 flat (Bb) and count the required number counter-clockwise.

The key of Ab, for example, has four flats. Starting with the number 1 flat (Bb), count counter-clockwise

around the circle: Bb, E b , Ab, Db. All B's.E's, A's and D's are flatted in the key ofAb Major,

This is even more useful information if you memorize it An easy way to memorize information of thistype is through the use of mnemonic devices. (A mnemonic device is the name given to a phrase

that helps you to remember someth.ing.)

Starting from the number 1 sharp (F#) and going' clockwise:

Funky Cows Get Down And Eat Breakfast Food(You must remember that the second F (Food) is for F#)

Starting from the number 1 flat (Bb) and going counter-clockwise you get a

BE A DGame

Using these two devices to remember the sequence of sharps and flats, and remembering that C is on top

of the circle and has no sharps or flats makes it easy to find the sharps or flats (called a key si.gna.tureJforany given Major ikey.

Let's work out sharps and flats for key of B Major:

Funky Cows Get Down And Eat Breakfast - that's 7.

But, wait!! C is on top and has no sharps or tlats, so count: Get Down And Eat Breakfast - that's 5.

5 what?? 5 sharps (We're on the right side of the circle).

Which 5 sharps"? F#,.C#, G#, D# and A# (Funky Cows G,etDown And Eat).

Pretty easy, right??

Now, let's do the key of DbMajor:B E A D - that's 4.

But, remember, C is on top and has no sharps and flats, so F must have 1 flat

(we're on the left side of the circle).

Thus: F - B E A D - that's 5.

5 what? 5 flats (As we said, we're on the left side of the circle)

Which 5 flats?? s b , Eb,Ab, Db,and Gb, (B E A 0 Game)

You should try to determine sharps and flats for the eleven most commonly used Major keys:

C, G, D, A, E, B, F,Sb,Eb,Ab, Db. (Answers are on page 31) I t is common practice to refer to

Major keys by their letter name only. Any other type of key or scale will always be referred to

by both it's letter name and it's type (Minor, pentatonic, etc).

-

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INTERVALSf

Once you can find key signatures, you are ready to learn about intervals.

An interval is a group of two notes. They may be played melodically (one after the other)

or harmonically (simultaneously).

An interval will belong to one of two families, the Major-Minor family or the Perfect family.

An interval will have two names, a general name (which is a number)

and a specific name (which is a description of its qualities).

Here is a table of intervals:

Table

MAJOR-MINOR FAMILY(2nds, 3rds,6ths and 7ths) LARGER PERFECT FAMILY(4ths, 5ths, octaves(8ths))

Diminished (dim)

t~---- IF IN KEY

1SMALLER

Diminished (dim)

Augmented (+) Augmented (+)

Major(M) Perfect (P)

Minor (m or min)

Let's look at an example and see how to use this table. Here is an interval:

~LJ :

r. ~ ,.q -

~ -fI

rn_

.l_

A ~-n. )o r

V v

First, find the general name of the interval. This can be done by counting consecutive lines and spaces on

the staff, or by counting sequential letter names between notes. In this case, there are five lines and

spaces, and five letter names (C,D,E,F,G) between these notes. This interval, then, is a fifth of some type.

To find the specific name, or type of interval, assume that the lower note is the first note of a Major scale.

If the upper note is a note in that scale, the interval is Perfect (if it belongs to the Perfect family) or Major (if i

belongs to the Major-Minor family). In this case, the lower note is C, so we need to know if G is a note in

the C Major scale. Since the key of C has no sharps or flats, G is a note in the C Major scale. We know

that fifths belong to the Perfect family of intervals, so this interval (from C to G) is a Perfect fifth.

-0

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What happens i f the upper note is not in the scale of the lower note? Here are a few more examples;

flt ..I r. .q

r ""\ fI' h. • •"-t 111- ,,-. ·tJ . . . . ~. . ~. .

. . . . . ,

.1t1 . . . . .II . . . . . . . ..." )( : : : I ~ J..D ~ ~ . . .

" " '

The interval from C to G is still a fifth of some type. Remember, general names are determined by ramany lines and spaces (or how many letter names) apart the two notes are. . Whether the notes am

sharped, flatted or natural the general name does not change, only the specific name (or quality) of J;e

interval.

We already know from the last example that the note G is in the C Major scale. The G# in the first inte'"' d..

and the G b in the second, then, are not in the scale. Now we have to decide what these accidentaJs co tothe intervals - make them larger or make it smaller

In the first example, the upper note has moved up a half-step away from the lower note (which is

unchanged), making the interval one half-step larger. If we move up one specific name on the chart.

we find that this interval from C to G# is an augmented fifth.

In the second interval, the upper note is a half-step closer to the lower note, making the interval one half-

step smaller. Moving down one specific name on the chart, this interval from C to G b is a Diminished

When the lower note is not on the circle of fifths, as in the third and fourth intervals, ignore the accidenta

while finding the general name. These two intervals are sixths of some type ..

Then, consider what the accidental does to the distance between the notes. In the third interval, the .ower

note has moved up one half-step closer to the upper note, mak.ing the interval one half-step smaller.

Moving down one specific name (because the interval is smaller) on the Major-Minor side of the chart

(because sixths belong to the Major-Minor family) we find that this interval from C# to A is a Minor sixth.

Sim i la r ly , the fourth example is one specific name larqer than Major and therefore an augmented sixth.

Here are a few intervals for you to identify:

"J r. ."-t •. ~ - ff· •

111-

tJ • v- H ·

: , . . . ,.1 . . . • . . . .A . )( "7 . r . 5-

ToU I ~ I. . .

(Answers are on page 32.)

-1

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. .TRIADS

Triads are the backbone of Rock. Most of the chords played in Rock are triads.

A triad is a three note chord in which the three notes are in certain specific intervallic relations.

Here is a table of triads:

"J r: .q

r ~ I f f . .

" J q ..fS _"IS ~ .hS I .WS I

.J M3t '-1.[ J M3 t '.JF-o m3 t v .J . [ r-o m3 tV .Jj·r::rolffi

. . . . . .1.

A . - - - .TOo 1. 1 ~ )l ~D J .. 7. 5l g

0 0 0 0

P5M3

P5m3

5dimm3

5+M3

Augmented(+)

Major(M)

Minor(m)

Diminished(dim)

The lowest of the three notes in each triad in this table is called the root. This is the note that

will name the triad. (These four triads, from left to right, are C Augmented, C Major, C Minor

and C Diminished).

Counting up from the root, we find that each triad consists of two intervals: a third of some

kind and a fifth of some kind. For example, in the C Augmented triad, C to E is a Major third,

C to G# is an Augmented fifth. Both intervals use the root as their lower note,

Combining the two intervals, the chart will tell you what kind of triad you have:

A triad that contains a Major third and an Augmented fifth is an Augmented triad.

A triad that contains a Major third and a Perfect fifth is a Major triad.

A triad that contains a Minor third and a Perfect fifth is a Minor triad.

A triad that contains a Minor third and a Diminished fifth is a Diminished triad.

Other combinations are possible, but are not widely used.

-2

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Let's work out an example:

"I ,~ •. . •"'\ t. •J ':I_

tJ

. . .~ )(

• . &A . . . .~v

Starting with the lowest note, A, we find that we have a Major third ( A to C#) and a Perfect fifth

(A to E). Referring to the table of triads, we find that this example is an A Major triad.

Here are four more for you to work out. (Answers on page 32):

f'I J J.II t. U•. . . . h . . . '1 1 •IT'\ t. • v'S . .. . " ' ' ! Ii

, . , •. . . ' . lIi .... ::I'

,tJ II. - -

, . . . . . . , ~.1 . . . . . . .II ~A ' I J o )I ;:t ~~ ';I

' "~

,U 'J

, I

There are two more things that you need to know about triads:

1. You may play the notes in a triad in any sequence, and they still form the same triad,

just in a different inversion (or order). The first three examples below are all

G Major Triads.

2. You may have as many of any of the notes in a triad as you wish, and in any octaves and

as long as you have at least one of each of the three notes that form the triad and no other

notes,it is still the same triad. The last tlhree examples bel'ow are all G Major triads. You are

probably used to thinking of these as G chords - Major triads (like Major scales) are commonly

referred to by their letter name only. A G chord means a G Major triad. A G scale means a G

Major scale.

f\ • f II II I-

IJ - ; . ; . . L- -( " 5 ;rr:"\ .So. '!Ii

J I""

tJ I J

. . . ., . . .. . . . . . . . H J . . . He, .. .J. oj oj " ' ' J Itf- o i&

A ,

. . . . I U J ii i

TooJ JfiI

D . .I

13

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DIATONIC TRIADS

Diatonic triads are the chords for a given key. Learning about them will enable you to

harmonize melodies and understand common chord progressions.

Here are seven triads to work out:

'\

• ]Ii

~ _.. _ . ]Ii • ]Ii

~, !"\ • ]Ii • ]Ii • . . .\C .,.1 ]Ii • ]Ii • . . .~ -i •

_T . . . ~ ".

• ft

"AI ". 'I )l 'I

A - x ~ ;r ~ ;r ~ "t'

_n II iii io I ..;J ~ I

V ..;J

'",

These triads are, from left to right, C Major, 0 Minor, E Minor, F Major, G Major, A Minor,

and B Diminished.

What is important about this sequence of triads?

If you look only at the lowest note of each triad, you will find that they form a C Major scale.

If you look at all the notes in these triads, you will see that every note in all of these triads is a

note that is in a C Major scale.

In short, we have taken a C Major scale and created triads using only other notes in the same scale!

Triads formed in this way are called diatonic triads. (What we call Major scales are formally

referred to as diatonic Major scales.)

Let's look at these again, but this time let's number them by the scale step on which they begin.

(I am using Roman numerals to number them):

1 '1 J'J

_]Ii

~ •]Ii

•]Ii

_L

"]Ii

• lIi • . . .\C lIi • _]Ii _ .tJ -i • . . .

I I ii iii IV V vi Vii(dim}

-<YI . . . . . . ~ ".

• . . . . . . . . A_A 'l " t l 'I

l _ A w II ;r II ;r

' ". . , .

_n Ir )I

' " '" '" I

IV ..;J v. I

-4

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Looking at this further, we tind that:

I , I V and V are Major triads

ii, iii and vi are Minor triads

vii(dim) is a Diminished triad.

I am using c:apitalletters to represent Major triads (I), small letters to represent Minor triads

(ii) and smailletlers plus the abbreviation (dimto represent Diminished triads (vii(dim)).

There are no augmented triads in this particular sequence, but, if there were, I would use acapital letter and the symbol + to represent them.

The relationships we have found among diatonic triads for the key of C hold true for any key.

Here, for example are the diatonic triads for key of F:

~ II I J - J• ':I • ':II •• ':I • ':I

r,"" •i/ • _ . . .

.JI ii iii IV V vi Vii(dim)

0( . . . ~ ~. . . . . . ~ . . . A )Ii.~

H1. A )o f ~ ~ 1 0 I l ~ )(

A Ii

"aC ..:I OJ

,C O l. . V oJ

D

Once again, we find:

I, IV and V are Major triads

ii, iii and vi are Minor triads

vii(dim) is a Diminished triad.

Now you know what is meant by a I-IV-V chord progression. It is simply a chord progression that uses

only the three Major chords in a given key. Here is one such progression in the key of D:

, . . , , j j . • • . . . . • •oJ ":I ':I

•. . . -'S

•. 1"'-

' " • • ':Ii ':Ii • • ':I ':I

~ - - - -~ • • . . . . . . ~ - = . . . .

1 1 1 1 1 1. . . .

1 1 1 1 1 1

I(D) IV (G ) V (A ) IV(G)

nn ~ )

"~J -' I 'J l ~ I ) )

A - 'I - 'I ~ ~ ~ l i:

n I _ I _ ~ l! 1 ! 1 !D )o f , . ~ ~

This sounds very familiar, doesn't it?

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DIATONIC TRIADS (cont.)

Now, let's look at how these chords are used to harmonize melodies. When you say that a particular

chord harmonizes a note, what you mean is that the note in question is one of the notes in that chord.

For example, in the key of C:

II ILI •. . . • •"Ii. t.v ,J ... •.J •

. . ..-n . . Yl_ . . . -" . . . . . . . .A . " " " "r. )I .l

V ~

The note A is a note that is found in three chords - 0 Minor (ii), F (IV) and A Minor (vi). Any of these

chords will harmonize any A note.

Every note in a Major scale can be harmonized using just the I, IV, and V chords. Here, for example,

are the I-IV-V chord choice to harmonize a G Major scale:

G Major 0 Major G Major C Major 0 Major C Major 0Major G Major

"I I _ l I I j f J j

LI . . . . I . - .111-

. . . . I • -"'

• . .'\

.J

I V I IV V IV V I

,. .11- . . .

, . . . , . . . . . . . . . u . . . o

1. It. ,. . U I o

A u ". . , .D

You can also harmonize a Major scale using just the ii, iii and vi chords. (The vii(dim) is rarely used.)Here are the li-lll-vl chord choices for the same G Major scale:

E minor A minor B minor A minor B minor A minor B minor E minor

"I I I I I ~ J j

LI -. . . . I - -". IJ

.J

vi ii iii ii iii ii iii vi

. . . ,. . . . .. . . . . . . . . . . . . . . u " .l

• . . . . . . . u • oJ

-4 . -u".....

III

This harmony gives you a very different sound than the I-IV-V harmony!

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The I , IV , and V chords are thought of as the pillar chords in a key. You can hear a song as being

clearly in a particular Major key even when just these three chords are used.

)-Iere is a melody with chords that uses just I , IV and V in the key of A:

r. .. . ~ I I I I I I\I ill 1. 0 - -~ '-It

@ J

I(A ) V (E ) I (A ) IV (O ) V (E ) I (A )

. . . . ,". ". ". ".

• n. . . . . . . 0.1 . . .

".

A L . . . .TO

.JJJ

The ii, iii and vi chords are considered color chords. They can add some spice, or a change of feel 0

a chord progression or song. Here is the same melody from the last example, but this time we are

using some color chords along with the I , IV and V chords:

, . . , ~ ~ I I I I I I

'>I ....t.'-It

_ . _•. r"\ • - -. . . .

@ J

I (A) ii (8m) iii (C#m) ii(Bm) V(E ) I(A)

.w-, - n . . . . d

.1 . . . \I "- 0.1 . . . . . . .A . . . .

" "nV

In the examples given so far, I have harmonized every note with a different chord. While this

is commonly done in classical music, popular music usually harmonizes only the most important

notes and allows the notes around them to move without requiring a chord change

For example, the first two bars in the progression below are harmonized with one chord per

melody note. The second two (which contain the same melody as the first two) are harmonized

with one chord per bar, regardless of the melodic motion:

II~ I I I I I I I I I I\I Iff. • • ". . . • C o - • • 0 - • II- ~ - - . .. ., .., . .@ J

ii(Am) iii (Bm) IV (C) i ii (Bm) V (0) I (G) i i (Am) IG)

.., ,. . . . n ,. . ,. . . . ".,. . II

.1 ".. . . • oJ \I

J"l . . . . . . I .J \I . . . II

A "- \I "- . . . . II

TIl II

L' II

The second two bars sound more like Rock chord progressions usually do.

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TRANSPOSITION

Transposition gives you the tools to take a song or progression and move it into any key. This is

often used to put songs into keys that you can sing in more easily.

Here is a melody with chords in the key of C:

" r . . ,. . . ." " " " " . . ._\:J ':It - • . . . . . . - • . . .@ )

- - -• - - • - - 0 4

Ie) V(G) iii (Em) V(G) IC )

.-ro

1. . . . . . .A . A . . . . . . . . v . . . . . . . . - . . . . v

to _ft_ . . .TIl . . . V "-

" " " ""- v

" " " " "- v . .II ~ " "

Maybe this melody in this key is a little high for your voice, and you want to move it.

Here's how to do it:

1. Pick the new key.

2. Determine the interval up or down between the original I chord and the new I chord.

3. Move all the notes up or down the same distance.

4. Move all the chords up or down the same distance, but keep their quality the same.

(Majors stay Major, Minors stay Minor, etc.)

Let's move the melody from the last example down to the key of A:

1. The new key is A.

2. The interval from C down to A is a Minor 3rd ( 3 half-steps).

3. Moving all the notes and chords down a Minor 3rd, we get:

" ~ ~W "" .... 11

_h_

U . . . ."

T"\ TI r. .~ j . . . . .I . . .

.@ J~ _ , - - - • - • . .

- - -- # I - - • - # I - -0 £ I

I (A ) V(E) iii ( C #m ) V{E) IA )

. . - . - .

.14. . . . . . . . . . . . . . . .~ . . . . . . . A

V" "

V ., . . . . , "-' "

., . . . . . ._ll v " "

'1' '1' "- '1' L V

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Transposition has another important use for guitarists. It lets you use a capo to obtain certain chord _

qualities in any key.

Lets say you have the following melody and chords in the key of D (This is a I-IV-V progression):

. .- , . . . ~ I I

w

"'-:I:,n' " • - - •• . . • ,_ ,

-I • :;r

@ J o -u

1(0) IV(G) V(A) 1(0)

~.1 . . . . . . . . . . . .A - ft A ' "

VA

V " . . . A ,. . . . I

n. V O f O f

"O f ~ V I

U I

Suppose that you really like the ringing, open string sound of the G, C and D chords diagrammed belo t.

G

a a

c D

x a x x a

~

,4,4 -

4 -4 _

4 •R R

Since these are chords for the key of G, you must transpose to key of D to find your capo position.

1. The original key is D, the new key is G.

2. The distance from G down to D is a Perfect fifth (seven half-steps)

3. Move all the chords down a Perfect fifth. Now you are in the key of G.

4. Put your capo on at the seventh fret and play the new chords. Leave the melody where' is.The capo is transposing the new chords back to the original key (D). Remember, in this case.

we are transposing in order to use certain chord forms, not to change the actual key.

Here is the melody with the new chords (to be played with the capo at seventh fret):

1\ .. I IW til

' ". . .r r"'- • . . . . - •\:L/ . . . . - • v -I • :;r

~a --u

IG ) IV(C) V(O) I {G )

..., I

.1 . . . . . . . . . . . I

A - . . . . . . " '" . . '" " . . . . - - . . . I

no ' ". . , O f

' "O f " ' - V I

_(J ~

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SEVENTH CHORDS

Ssvenfh chords are used to add color or tension in a piece of music.

Here is a table of sevenths:

fIJL UI

. . . . , h ,'"

, u:," 1 " " \ '!I "'!I IV "I

h '!I _ . . . . . . ....v 1

~ M3t-lJ M3 t - ILJ J m3t -I-JJ m3{ . J L f J v .J-JJP5 P5 P5 5dim 5dim

IT!

.1

Ii. I ;I l ~Tl_

~ il 1" :tJ..I ~ Io lII. . .

M7 m7 m7 m7 7dimP5 P5 P5 5dim 5dimM3 M3 m3 m3 m3

Major Seventh Minor Half-diminished Diminished(M7) (7) (m7) (0) (0)

In the same way that triads are constructed of two superimposed intervals (a third and a fifth)

from the same root, seventh chords are constructed of three superimposed intervals(a third, a fifth, and a seventh) from the same root.

Combining the three intervals, the chart will tell you what kind of seventh you have:

A seventh chord that contains a Major third, a Perfect fifth and a Major seventh is a

Major seventh chord.

A seventh chord that contains a Major third, a Perfect fifth and a Minor seventh is a

Dominant type seventh chord, commonly referred to as simply a seventh chord.

A seventh chord that contains a Minor third, a Perfect fifth and a Minor seventh is a

Minor seventh chord.A seventh chord that contains a Minor third, a Diminished fifth and a Minor seventh is a

Half-Diminished seventh chord.

A seventh chord that contains a Minor third, a Diminished fifth and a Diminished seventh is a

Diminished seventh chord.

As with the triads, other combinations are possible, but are not widely used.

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Let's work a few examples:

~ • ."r. .

I. ' S,

r, ~ ,~ • I. • 'SO,

"[J, ... • • -~ • - I

~ II

• ~A Il r :I..,. 11 . .U I

In the first seventh chord, you have a Major third, a Perfect Fifth and a Minor seventh, if you figure all t e

intervals from the root (lowest note). This chord, then, is an A7.

The second seventh contains a Minor third, a Perfect fifth and a Minor seventh, making it a Dm7.

The third seventh contains a Minor third, a Diminished fifth and a Minor seven. This one is

a B D (half-diminished).

Finally, the fourth seventh of these examples contains a Major third, a Perfect fifth and a Major seven

That makes it a GM7.

As you look at sheet music from different publishers, you may find that various seventh chords

are referred to by different symbols than the ones we are using. Here is a table listing a few

of the more common symbols that you may run into:

E x a m p l e s

Dominant type seventh

C? E min7,-S Fm7\.s

Major seventh

Minor seventh min?, m7 F#min7, Aj,m7

Half-diminished seventh 1 3 , min7~S m7;S min7,!>Sm 7h5

Diminished seventh dim, 0 Gdim,Ao

Here are a few sevenths for you to figure out. (Answers are on page 32):

~ I I.

-II.~

-~'S • •" . . v'S • I.

l..

~v

IrI

~, . . . , . . x_( _ ) ~ I!

d ) !If !If~D ~

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DOMINANT HARMONY

Dominant harmony is the strongest kind of harmonic movement found in Western music.

You hear it a lot, and you will use it a lot.

Here is a C Major scale with the function names of the seven notes given.

1 '1 IO J

~ -"r\ • • r-

"~ • • -~ -* • - I

Tonic Supertonic Mediant Subdominant Dominant Submediant Leading Tone

..,1'1.

• ,. . ,. . v

A . _ . . . . _ . . . . . . . u "-

-n o ,.. V "-. . ,

v . ,

Diatonic seventh chords can be constructed the same way that diatonic triads are - build a

seventh chord on each note of the scale, and use only other notes in the scale to build your thirds,

fifths and sevenths.

Here are the diatonic seventh chords for the key of C:

f l . • 1 1O J • S • ' : I I i

• ' : I I i • • ' : I I i

S • ' : I I i • _]I •\;.-.L_ • ' : I I i • -@ ) -i • -

.-.-, )I

• . . . ~ _J

A . • :r j ~-n o ~ _ 1 4 ~ ~D ~ . .

Looking at the types of seventh chords that result we find that:

IM7 andlVM7 are Major sevenths

iim?, iiim7, and vim? are Minor sevenths

vii0 is a half-Diminished seventh

V? is a Dominant type seventh

Sevenths of the Dominant type are so named because the only place they occur naturally

(that is, in diatonic construction) is on the fifth note or Dominant of a Major scale.

This is true for all Major keys - the only Dominant type seventh among the diatonic sevenths

is the V7 or Dominant seventh chord.

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What is so important about the Dominant??

It controls, or defines (or dominates) a Major key. Play this progression:

G 7 c, . ,

. . , . . ~rn"

~

tJ ~

V7 1

..,

• ft

4. )C

. . . . . i, IIII ~

This progression from G7 to Cis a typical. Dominant seventh to Tonic (or V7 to I) progression.

Notice how clearly it says "The End." This is considered the most satisfying chord progression

in Western music.

This is true in part because a Dominant type seventh is a dissonance and the Major chord to whichit resolves is a consonance.

A consonance is any chord that will stand on its own. When you hear a consonance, you

feel no tension; no need to move to another chord.

A dissonance is any chord that must resolve; that will not stand alone. When you hear a

dissonance, you feel tension; you want the dissonance to move to another chord.

People usually think of dissonance as unpleasant or harsh, and consonance as pleasant, but

that is not necessarily the case. Dissonance simply means "having a need to resolve."

Here are a few more Dominant (V) to Tonic (I) progressions in different keys:

c7 B7 E7 A

1 \ . I 0 I oT. - r:; e .r:; of'r- e :

~ " . 1 ' : : 0r." T.

'10 «10 ~ , ~ " " " «''10

'\: ":II: - 'f'I"-

"_ o f I " _ : l I ! '

tJ~

~ 1 : ~~ i6

" ? : , ; ?;

V 7 I ' 1 , . . 7 I V 7 I

T ~

•A.

·nc n

v

Notice that even though the particular chords in each example sound different, each V7 to 1

progression says "The End" quite clearly.

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SECONDARY DOMINANTS

Secondary dominants let you expand your chord choices by allowing you to borrow chords from

other keys.

Here are three chord progressions:

~T.. . . . ~ '", .n,.. ~ ~ , ~

. .. J ......" "

~.J - .( 1 i

_ : : : c .

~z c : :-6

rI\ n

_.! "I

A ~ )-

-'11oJ I ir

.u ~ . .~

What do these chord progressions have in common???

In each case the root movement, (that is, the distance between the roots of the two chords) is

down a Perfect fifth. This is the same root movement you will find in a V7 to I progression.

(In fact, the first progression of the example above is a V7 to I progression.)

Root movement down a Perfect fifth is considered almost as satisfying as a V7 to I progression,

even when the chords are not a Dominant seventh moving to a Major!

This an easy way to find a good chord to move to from any chord in a key. Here is a table of root

movements in a key:

rfee:laFifth (witttm ¥ J key)

I goes to IV

ii goes to V7

ii i goes to vi

IV goes to vii(dim)

(see below)

V7 goes to I

vi goes to ii

We are avoiding using the vii(oir:n) chord, because it sounds so much like )/7 chord that it can be €onf'llsing

(The 3 notes in the vii(dim) chord are the same as the upper 3 nates in the)/7 chord, and ' your ear tends to

hear it as a V7 chord. Because of this, IV tends to move to V7.

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You can combine these motions for longer progressions, for example here are two ii-V7 0 I

progressions in the key of G:

f\ ~ I " . : •I -":I: • • • • ~

r, '"1"\ • • ~ • -"

~ 'S r :

.J .z •~

~ • -- i l l - i l l 'z

ii (Am) V 7 (07) I(G) ii (Am7) V 7 (07) I (GM7)

rro ! ! ft

J_ 'llA 'r '1Tlo

. . ..IJ

ft, ~

Notice that while both the progressions move smoothly from one chord to the next, the second

progression, which uses sevenths, has a softer, jazzier feel. This is an example of using sevenths

for color.

You can use root movement of a fifth to string longer chord progressions together. Just be careful 0 eec

each pair of chords the correct distance apart.

Here is an example of the frequently used iii-vi-ii-V7 I progression, in the key of C:

fIII 1~ • • - " - : t

• • 'S ..."

r,;, ' " • - ><

" J '":I: - :: I i • . . . . . .tJ J ~ • - ~

... E-' )

- i l l "'I

I I I ( m7 v i (Am7) ii (Dm7) V 7 (G7) I (eM7)

rro ft

j_

'!lA j :tTlo I oJ j

D . . . •oJ

Real smooth, isn't it!

What would happen if we changed all of the chords (Except the last one) in the example above

to Dominant type sevenths? Play this progression:

"~

II

' "&..

. '" :I I : • • :: I i" " ",

"' l.i!''S '" , • - x

~ • ><._j :I - = • - ~

"I- i l l "'I

. . . . . . . .1. 'J l4. ' ; : : (

n,,) I

D . . .v

That sounds quite different from the original progression, doesn't it?

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SECONDARY DOMINANTS (cont.)

The last example makes use of secondary dominants. These are chords borrowed from another key.

Here's how it works:

Pretend that whatever chord you are playing is I. I'll use G7 for an example.Wait a minute!! A Dominant type seventh chord can't be I. I is Major or a major7.

True! But let's pretend for a moment that it could be.

If G7 is I, where is V7?

Right!! It's 07. So now we'll play V7 to 1- 07 to G7:

II ~ I....1. 1 r: . " ' . . . . "1'"q -,

, " ' r : . rr . . .~ q '"~

c;

~

07 G7

. . . . . . !

1A j

-no

D

Problem!!!! When we land on G7, it's still dissonant and still wants to move to C.

OK, let's move to C:

II . . .1. 1 r: . . . . . ,q ,

IJ q . . . . ~.~

~~

G 7 C

~I. ,AT.

,'D

-

That's better! Now we have resolution.

When we pretend to be in another key by using the Dominant chord from that key, we are using thechord (in this case 07) as a secondary Dominant. Here's the whole progression:

"~ (. ,

" ' . . . . . , . . . .q ' " ."' --,;

r. . . . . . . . .\: q . . . . ><

~c;

~~

0 7 G 7 C

~I.

A. . . . . I

.u •.-6

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I.thas a real ragtime kind of feel to it now, which is quite different from the smooth jazz /pop fee·1t

had before we changed all the chords to Dominant type sevenths.

Since the D7 resolves to the real V7 chord (in this case G7), we will call it V7 o f V7 or V of V for short

You can string longer proqresslons together with secondary dominants just like you did with

chord movements that remain within one key. For example, once again:

r a ~J -# ". . 1 ' . : _oI!I"-, . . . . . .I ' . :

~ ":It: ,f: " - . 0 0 1 r:r"" ,. ~

" -L1 . .. .. ~ .., . . , .~ . : : : : : r;,;

~-!:

-6

A7 07 G7 C1\ 1\. . , . x ~

! :. J..0. x n .,"' iii

. . . ,g . . . , . . .

. . .

Here, you have a secondary Dominant of a secondary Dominant:

When you play A7, you are pretending to be in the key of D

When you resolve to 07, you are pretending to be in the key of G

When you resolve to G7,.you are finally in the key of C, where you will remain.

When itis used like this, A7 is called V o f V o f V.

Below is a table of secondary dominants that tells you both where they resolve within a key

and what to call them in longer cycle. Remember,. all of these chords are Dominant type sevenths,

regardless of what type of seventh normally occurs on a given scale degree.

Ibecomes V of IV

ii becomes V o f V

iii becomes V of vi o r V of V of V of V

IV does not work in this cycle(s e e b elo w )

V7 remains V7

vi becomes V o f U o r V o f V o f V

~ ~ l1 § . S a D am in ) res o lvas to th e fla tte d s eve nth d eQ re e o f th e s ea le ,

, V Y f t r c l 1 is G o t o f k ey a lt og e th er ., .

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THE RELATIVE MINOR

The Relative Minor gives you an entirely different feel and a different set of harmonic relationships

using the same notes as the Major scale.

Here is an A Minor scale:

f\ _1

1.1

~~L/ ~ • . .~ - : J . - - , J . . • . .

L-whole-- half-· -whole -. -whole half whole half_jstep step step step step step step

. . . . . .• ,. . . .A . . . . . . . . . u

" '"r. ,. . . . . . . u " '" ~__!! U II:. a

Notice that this scale contains exactly the same notes as the C Major scale. The only difference

is that you are starting on A rather than C. But this is a huge difference!! With A as Tonic, we can derive

the following diatonic triads for the key of A Minor:

1\L. I

III

F, r'\.< II 'I :I

'I III "I III. .

~ 1 - I i •

i i i(dim) I U Iv v VI VII

. . . . .. . . . . . .

. . . .J. ':l

• . . .1 0 1 ~ ';I' iI C ';I'A - . . . . . O J

fr ~ fr ~ io I~

r. -;,1 III

"M oJ

OJ I

Analyzing this, we find that:

i, iv and v are Minor triads

III, VI and VII are Major triads

i i(dim) is a Diminished triad.

Here is a i-iv-v progression in the key of A Minor:

1\'I III III

ill

III ill - . . III'"t

ill . . 'lII '!I . . IIIF,~ ,~ ill

'lII

@ J_ : : " ' : ~ • • i :i

~ _ : : " ' :

. . . . . . . .. . . 11

i(Am} iv (Dm) v(Em) j(Am)

. . . . . . ~.~

• I Ij I

A - I II j I

. . . . . I, ,

D

This sounds very different than the I-IV-V progressions in Major keysll

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Notice also that the VII chord in A Minor is a whole step below L (vU(di ) is a half-step below I in aj

keys.) This means that the seventh degree of a Minor scale is no a leading tone (which by defini ion, IS a

half-step below the Tonic with a strong tendency to move 0 the Tonic). out is instead a subtonic.

This is another important difference. Here is another important Minor ey progression -

the VI-VII-i progression:

1\ I" .y t. , . . . .

.~.~-:..1"- + r. . . . . x- i j

~~

'-

-6-e-

V I (F ) V I I (G) i { A m )

~.1

A,

. . . . ,f'I

-u

You can make a relative Minor scale for any Major key by playing the Major scale notes, in sequence,

but starting on the sixth degree of the Major scale. Then re-number the scale steps for the new Minoscale that you have made. Here is an E Minor scale, which is the relative Minor for G Major:

, . . , , I j . I I 1 Iy ~ .01 •01 • -•"" • . . .

...I -J. .Lhole --. half -- whole - whole half -- whole -- half_j

step step step step step step step-. . . . . . . . u I

• . . . . . . u • v

A . . . . . u '" I

T"a

""t"

ID I

Now you try a few.

Find the relative minors for the keys of A,D,Eb,and Bb. Answers are on page 32.

Here is a v-i progression in E Minor:

1 '\ , I j .lit '$ r.

.. . . .

L.I- '$

~ c : : z

v(Bm)~I (Em}

- t

•. . . . . .D ~ I

Notice that it does not have the same compelling pull toward ithat V7 to I has in Major. It stiB

defines the key, Any piece of music that has i,iv and vall as Minor chords is in the key of iMinor.

-9

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THE RELATIVE MINOR (cont.)

What defines a key and scale??

Every key has one note to which all the other notes refer back. This note is called the Tonic, and will

be the first step of a scale. (This is called tonality, and is about the location of the Tonic. A Major, A Minor

and any other A scales are all said to be A tonalities because A is the first note or Tonic in each of them.)

Every type of scale has its own unique sequence of whole and half-steps from the Tonic, and its

own unique set of diatonic triads. (This is called modality, and is about the relationship of the notes

in the scale to the Tonic. A Minor, D Minor and G Minor are all Minor modalities, but are in different

tonalities. A Major and A Minor are in the same tonality, but in different modalities.)

Here is a table of definitive chord progressions for Major and Minor Keys:

ressions

I - I V and V( all majors)

V7 -I

I-ii -lll ( a whole step apart).

ii-V7-1

In Major Keys:

In Minor Keys:

i-iv-v (all minors)VI-VII-i (a whole step apart)

To determine the key and scale of a particular song:

Find the Tonic. (Hint - Most songs end on the Tonic chord!!)

Look for progressions from the table. If you find them, they will tell you the modality of the song.

(Some songs are in modalities other than Major and Minor. You won't find progressions from

the table in them.)

What are the key and scale for these two progressions? (Answer on page 32)

'"~

' ". . . , . • w..-. . . ,

h::ll . ' - . . . , .

r,n. '"

v- r. ,,::II • -~ IL '":I:: 0 l 0 i ' : : 1 1 r:

~ b i -i (.J

i~~~

T c : :

" ' i l l

In_

_! _

A~-

u

'"

-0

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A :N S W E RS T O E XE RC IS E S

Major Scales (Exercises on page 7..)

1. D Major

I

. .Lhole_. whole hall~- whole- whole-whole -_. half...Jstep sl"p step step step stsp step

3. E Major

I I I

Lwhole - whole half- whole_. - wholewhole -- half...Jstep step step step step stap step

5. B~Major

I I

" . .whole -whols - half- whole- whole.-. whol·s- haU_jstap step step step step step step

Cir~leof Fifths (Exercises on page 9.)

Key o f C

Key o f G

Key o f D

Key o f A

Key o f E

Key o f B

Key of F

Key o f B~

Key o f E b

Key o f A I >

Key o f D b

No sharps o r flats

1 sharp: F#

2 sharps : F# and C#

3 sharps : F#,C# and G#

4 sharps : F#, C#, G# and D#

5 sharps: F#, C#, G#, D# and A#

1 fla t: Bb

2 f lats: B~and E b

3 f lats: Bb,Eb a n d A I >

4 flats: B b ,E b ,A ba nd D b

5 f lats: B b , E b , A b , m and G b

2. A Ma jo r

Lwhole-whole- half-whole - whole-Whole-· _. ~~step step step step stsp sl~P s;oc

4. E b Major

Lwhole -whole - hall-· - whole- whole-·1'.11Oi<'- half_jstep step step step step step step

6. A I > Major

Lhole whote half- whole- whole-whole -- half_step step step step step st..p step

31

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ANSWERS TO EXERCISES (cont.)

Intervals (Exercises on page 11.)

f\"II

"~ , ." LJ '-:I:U

tJ - . . . . - H -m7 5+ 2+ 5 dim

rT>

.lf!" A . . . . .

A . X ' '7 A 5-

T10. . , I . . . I

D

Seventh Chords (Exercises on page 21.)

"I I.,. - fl. ' .• fl •

"- "::It: !'It:::. •tJ v - lrI

E~M7 F7 A ( ( J B~7

, . . . ,.I.

A . J.. . , . }:

v }!

Relative Minor (Exercises on page 29.)

1. Key of A : the relative minor is F# Minor

2. Key of D: the relative minor is B Minor

3. Key of E~: the relative minor is C Minor

4. Key of B b : the relative minor is G Minor

Re'lative Minor (Exercises on page 30.)

Triads (Exercises on page 13.)

1 '\ uu •-:I: h

. . . •. v'S " " " ' , . ; •:IIi

" "J 11 _ - -D Maj E Dim E Maj A Aug

, . . . . . , ~.l . . . . . . A

)l

A . 'i' )I ;r illT10 ;: r aI II

,.Lt ~ , ,

-#~ '7;

Key of B Major

.I.

v

. .Ii c ; ; .

Key of D Minor

I I 't .

IIII ,

-2

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T h G U IT A R T E CH N rQ UE S Series

the ,sefie.s daslgned t o ·gel 'rCUil

sta n led , Each beCI c _Iearfy p,resents' t lrl,e8§snth:JJ ,eo 1 1c'e p i s . ; In t ,ab ia ture and]

nolalon l, hl lgt l l lg 'Mi l l lg :Sp6clf ic efem,ems:",j] ; i i " i ! 1 - - - · ! I < - . i ! " ' i f A~~l i ' io " anal l i l 'U!J1Sic theol l 'V",I ~IJI!II~ I " " l ! I I i i ! I ! ! i r ' !'~,:;:" ---- ___ _ _ _ _ _ _ "'

T 1 h l s ,B o o k I lnhadiLllc'ss:

Ij' 'Clrol 'e ' O f ! F l t H h s i

i ! ! ' l ' n teNGls ,

! ! I i ' ' m l il ia d s ;

" " i i l ' - - - - - - ,- J H l i~ n.' ~Imns~ __c :_ J

. ' , Seconda ry ' D o m l ' l i ' l r Q m s

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~~' ,",

~/".',/~.

F O R

G U I T A RT O 'IH iE E S S I!N T IA lS

eire Ie 1 0 1 ' F l r f l h s ,

llia d s

n lSpos l r~on

lec,ondury Domi lnol ' i l f~S

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F O R

G U I T A R

2 Foreword and Playing Guide

3 Guitar Tablature Guide

4 Whole Steps and Half Steps

6 Major Scale Pattern

8 Circle of Fifths

10 Intervals

12 Triads

14 Diatonic Triads

18 Transposition

20 Seventh Chords

22 Dominant Harmony

24 Secondary Dominants

28 The Relative Minor

31 Answers to Exercises

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Music theory is the language of musical

construction. Understanding it will help you

play better and improvise better. It will give

you the tools to write better songs and to

better understand other Artist's songs you

have learned.

In this book you will learn many of the basics

of how the music you listen to is constructed.

FOREWORD

To get the most out of this book: Third -Try to use the tools you are learning

to analyze music that you play.

First - Go through the book in sequence.

Each idea introduced in the book is built on

the ideas introduced before it.

Fourth - Refer back to the book periodically.

Understanding will come gradually with

repeated exposure to these ideas.

Second - Work out all the examples.

They will help you put the ideas you are

learning into practice, and help you use

these ideas sooner.

Fifth - Don't give up!! It may take a while,

but theory will make sense to you if you

stay with it.

PLAYING GUIDE

Musical examples in this book are written in both standard music staff notation and tablature.

Standard Notation

II 12OJ f. _ . _

LI-

•r'\ '"'\ . . . . . _ . . . . _

tJ - . . - , J • - I

-

~

. . ,. ... . u ~

T I't.I

A . . ."ft

U

. . . . . . . . ftU "-n - "

&.

U

2

Tablature

Rhythm slashes are used to indicate strumming patterns for chords.

) J J ) JII ~~ -vi ill

' ". . . . . .r-.' "'U

tJ

I~- .r

ATO

D ._

-

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GUITAR TABLATURE GUIDE

Guitar tablature (TAB) is a special staff that graphically represents the guitar fingerboard.

Each line represents a string of the guitar .. The numbers on these lines indicate at which

frets to place your fingers. A " a " on a I:ineindicates an open string,

~ r~ I I I I I I

10

I I

5

i i0

2

Open 5th String 2nd String 1st String3rd String 2nd Fret 10th Fret 5th Fret

LEGEND OF SPECIAL GUITAR TECHNIQUES

8" ,- .. - .. - .. -- ',. 8'" .. ,---- ----, i : l '" - - - - - - - - - - - - - - - , s= ••• - . ..... - . ..... ---- .. .. --

•••••••••ft A A A~ , . u. - -_ _

• .~

,_~

, " n,.,J':I:

@ .l I I I

112 full full

t t t~.. .. Qo ... Qo .. Qo . . . Q o.

. . . . . . , .n J .,j . . . . ' .. ..."

, " ' ' ' '• , . . . , . . . .'

. . . ~"") . . . .

A

t nBend

(half step)Bend Bend and Release Vibrato

(whole step)

k"' ------------------------, &- ----------------, fl~ --------------------------

- - - - - - - - - - - -A - - - . . . . "....-.. -~ • • • .- - .~ • -':I: I"" r: I"" ~ -l'n I

"q . . . . . -

full

t ,..--...

- - - - - - - - - - - - - - - - - - -- . - .' "

. . . . . , ,. ,. . ,- , . . . . . -, . . . . . . . , - n , . . . , . .I • '''' • ', . . . . . . . " . . .

r ' 1'-1 I' IV II 1-'

d I

III I

tJU I

Prebend(string bent

before picking)

Pull-Off Hammer-On Slide lega:o P" ' ras: . " - 'g00 0"; -....s

-

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WHOLE STEPS AND HALF STEPS

The basic building block of Western music is the half-step.

Pictured below is piano keyboard with the keys named:

The notes produced by striking these keys are called the natural notes. Notice that if you move up

the keyboard starting at C and striking each key (including black keys) until you reach the next C note

(one octave higher)., you will move up twelve times. Each of these moves is one half step.

Here is guitar tablature for this exercise:

r. I I 1 IO JIi . . . •~ . . . !If • • -\: . . . • . • - i/f-

~ . . . ~ . . . • H· "

. . . . .•ATo I'l A

'" ',. . ~ _"l_

,. . . . . . . . ,. . . . . . . . . .. . ~-D .;J . . . . ~ u ,

U i:7 IV •I • . 0: ;. Iv , . . . I",

Notice here that each move up is a move of one fret. The distance from one fret to the next

fret on the guitar is a distance of one half step.

Two half steps equal one whole step. On the guitar the distance of two frets equals one whole step:

" q1~..'\: q

I~ 4 0 . e - o

I

TA n

fl. ~ ~ ~ v

» . . . . . . .. ,

The distance between two notes is the same regardless of where you play them on the guitar.

For instance, the distance from C to 0 is always a whole step whether played on the

same string (first example) or on different strings (second example).

-

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Referring back to the piano keyboard diagram, notice that the only half steps that occur

between natural notes are the half step between E and F, and the half step between Band C.

The distance between all the other adjacent natural notes are whole steps.

Between each of the natural notes that are a whole step apart is another note, called an accidental

or chromatic which is played by a black key on the piano, or by the fret in between the two natural

notes on the guitar.

For example, between C and D:

C#or D~

fIy

r ~v

~ . . ~;. W·) ~.

_L[1 ~.1

A .To .."

"

~D . . . .

"T >

This note can be thought of in two ways - as a lowered D which would be caned Db ( 0 fiat),

or as a raised C, which would be called C#(C sharp).

Here is a keyboard diagram and guitar tablature for all twelve notes in one octave. (An octave, by the

way is given that name because the note names begin repeating eight natural notes above the first):

~

- ~ ~ J q J n J ( l ; J ) ~ J~ # J ( ~ ~ ) ~~ I~~,~j~

~ ~ § • . ;f t · ~ ~ = jL

. .1 ':

IC#{G) D D#(6) E 'F F#(G~) G G#(AIo) A A#(BJ. ) B C

o 1 2 3 4

• -,5 - .....""..-;::--:::: ....erember that the natural half steps fall between E and F and between Band C,

a . : . .. ..~ a: &a :::. ~ .:Ja . ey (or chromatic) can represent two different notes, a sharp note and a at rate.

-_"_ 3' .

_ =&

= . . .: - :: > . . . .

g'"tt"tey are played at the same key or fret. Notes that sound the SaIT'e

such as C# and D,) are called enharmonics.

-

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MAJOR SCALE PATTERN

A Major scale is the easiest and most logical way to organize the notes belonging to one

Major key. All music theory is derived from the Major scale.

Here are the natural notes again, this time with whole and half steps marked:

f\ I I IOJ

~ . . . •' r\ . . . • -.: J . . . • -~ . . • -

Lhole -- whole -- half -- whole -. - whole --. whole half_jstep step step step step step step

. . . . . . . .ft_ . .J_ . . . ,. . \I I

A . . . . . . . . _ . . . u jJ;.

~ . . U L v. . . , oJ

There are two things to notice here:

1. Pattern of steps. First there are two whole steps, then one half step, then three whole

steps, and finally one more half step. This pattern holds for every Major scale.

2. Sequence of note names. All Major scales proceed through each note name in

sequence - no skips, no repeats. (It is this ladder-like pattern that gives rise to the

word scale, which is derived from the Greek word sceelum, which means ladder.)

Let's see how this would work i f we started on G instead of C:

f\ I I j I I J J~ . . . • -• -,'T\ • -~J -~

Lhole -- whole -. - half -- whole -- whole half whole.Jstep step step step step ,. . step

__oL

step . . .~ _d . . . . . \I I oJ

J_ . . . . . . \I WI

A u L

TOj_J

Everything is alright until you get to FYou need a whole step between E & F, but we have a half-step.

What can you do???

Well, you could use the black key between F and G rather than the white

key F . That would give you the correct sequence of whole and half steps.

This note can be called F# or G b . .

Which would you call it??

You must call it F# otherwise you would be skipping a note name and repeating

another which goes against rule 2 above.

This gives us a third rule:

3. Sharps or flats. A Major scale may contain sharps or flats, but not both.

-

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Here .isthe corrected G Major scale:

fI 1_ L I J I ~ J Ii

\I . . . • 1If-. . . • -"1"\ • -.;

@ .l

Lhole -- whole -'-'half -' - whole .-- whole -- whole half_j

Itep step step step step step step

n . . . . . . .,.".,

. . . . . . . . . . ~ " ".l . . . . . . . . . . I oil

4- . . . I&.

riu t.

Let's try a scale starting on F:

"1 I I I I . . .

\I . . . . ' -. . • -"

1"\ • -\.:J • -@ .l

Lhole -' - whole --whole -_. _. half ' whole--- whole half_jstep step step step step step step. . .

, . . . , . . . . . . . . . . . ..l 1'1. . . . . U I oil

4- . . . . . . . ~

L~ ~ ,, II 1

What do you do about the whole step between A and B where you need a half step??

You flat the B, and everyth.ing falls into place:

"

I' I I j I J. . .• -

~h.

• -,

,"\ . . . • v- •, • -. ~

Lhole -- whole -- half - whole -- whole -..--. whole half_j

step step step step step step. . . .

step

,."., . . . u I, ,.l . . . . . . . . . . I

" "4- . . . . u ~ oJ

n oiJ

U

Here are some exercises for you to try:

Make Maj'Orscales starting on the following notes:

1.0

2.A

3. E

4 . Bb

5. a6. A b

Answers are on page 31.

-

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CIRCLE OF FIFTHS

The circle of fifths is a handy tool for finding the sharps and flats in any given Major scale.

The ability to find the sharps or flats in a given key quickly is a very important musical skill, so

you will find it helpful to memorize the circle of fifths and to learn how to use it.

Here is a diagram of the circle of fifths:

Fifths

First #

C

G

1 1

D

2 2

Eb

~ #3 Keys Keys 3 A

F# / G b

You can find a lot of information in this circle.

It will tell you how many sharps or flats are in a given key.

It will tell you which notes are flatted or sharped.

It will give you information about chord relationships within a key.

-

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The left side of the circle lists keys containing flats. The right side lists keys containing sharps. The top of

the circle shows the key of C Major which has no sharps or flats. The bottom of the circle shows the key of

F# Major or Gb Major which contain six sharps or six flats respectively.

The numbers inside the circle tell you how many sharps or flats (depending on which side of the circle you

are on) a given key contains. For example, on the right side of the circle, the key of G Major has 1 sharp,

the key of D Major has 2 sharps, the key of A Major has 3 sharps, etc. On the left side, the key of F Major

has 1 flat, the key of Bb Major has 2 flats, the key of Eb Major has 3 flats, etc.

The circle will also tell you which notes are sharped or flatted.

For sharp keys, start with the number 1 sharp (F#) and count the required number clockwise.

Thus, the key of E Major has 4 sharps, Starting with the number 1 sharp (F#), count clockwise around :he

circle: F, C, G, D. E Major, then will have all F's, C's, G's and D's sharped!

For flat keys, start with the number 1 flat (Bb) and count the required number counter-clockwise.

The key of Ab, for example, has four flats. Starting with the number 1 flat (Bb), count counter-clockwise

around the circle: Bb, E b , Ab, Db. All B's.E's, A's and D's are flatted in the key ofAb Major,

This is even more useful information if you memorize it An easy way to memorize information of thistype is through the use of mnemonic devices. (A mnemonic device is the name given to a phrase

that helps you to remember someth.ing.)

Starting from the number 1 sharp (F#) and going' clockwise:

Funky Cows Get Down And Eat Breakfast Food(You must remember that the second F (Food) is for F#)

Starting from the number 1 flat (Bb) and going counter-clockwise you get a

BE A DGame

Using these two devices to remember the sequence of sharps and flats, and remembering that C is on top

of the circle and has no sharps or flats makes it easy to find the sharps or flats (called a key si.gna.tureJforany given Major ikey.

Let's work out sharps and flats for key of B Major:

Funky Cows Get Down And Eat Breakfast - that's 7.

But, wait!! C is on top and has no sharps or tlats, so count: Get Down And Eat Breakfast - that's 5.

5 what?? 5 sharps (We're on the right side of the circle).

Which 5 sharps"? F#,.C#, G#, D# and A# (Funky Cows G,etDown And Eat).

Pretty easy, right??

Now, let's do the key of DbMajor:B E A D - that's 4.

But, remember, C is on top and has no sharps and flats, so F must have 1 flat

(we're on the left side of the circle).

Thus: F - B E A D - that's 5.

5 what? 5 flats (As we said, we're on the left side of the circle)

Which 5 flats?? s b , Eb,Ab, Db,and Gb, (B E A 0 Game)

You should try to determine sharps and flats for the eleven most commonly used Major keys:

C, G, D, A, E, B, F,Sb,Eb,Ab, Db. (Answers are on page 31) I t is common practice to refer to

Major keys by their letter name only. Any other type of key or scale will always be referred to

by both it's letter name and it's type (Minor, pentatonic, etc).

-

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INTERVALSf

Once you can find key signatures, you are ready to learn about intervals.

An interval is a group of two notes. They may be played melodically (one after the other)

or harmonically (simultaneously).

An interval will belong to one of two families, the Major-Minor family or the Perfect family.

An interval will have two names, a general name (which is a number)

and a specific name (which is a description of its qualities).

Here is a table of intervals:

Table

MAJOR-MINOR FAMILY(2nds, 3rds,6ths and 7ths) LARGER PERFECT FAMILY(4ths, 5ths, octaves(8ths))

Diminished (dim)

t~---- IF IN KEY

1SMALLER

Diminished (dim)

Augmented (+) Augmented (+)

Major(M) Perfect (P)

Minor (m or min)

Let's look at an example and see how to use this table. Here is an interval:

~LJ :

r. ~ ,.q -

~ -fI

rn_

.l_

A ~-n. )o r

V v

First, find the general name of the interval. This can be done by counting consecutive lines and spaces on

the staff, or by counting sequential letter names between notes. In this case, there are five lines and

spaces, and five letter names (C,D,E,F,G) between these notes. This interval, then, is a fifth of some type.

To find the specific name, or type of interval, assume that the lower note is the first note of a Major scale.

If the upper note is a note in that scale, the interval is Perfect (if it belongs to the Perfect family) or Major (if i

belongs to the Major-Minor family). In this case, the lower note is C, so we need to know if G is a note in

the C Major scale. Since the key of C has no sharps or flats, G is a note in the C Major scale. We know

that fifths belong to the Perfect family of intervals, so this interval (from C to G) is a Perfect fifth.

-0

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What happens i f the upper note is not in the scale of the lower note? Here are a few more examples;

flt ..I r. .q

r ""\ fI' h. • •"-t 111- ,,-. ·tJ . . . . ~. . ~. .

. . . . . ,

.1t1 . . . . .II . . . . . . . ..." )( : : : I ~ J..D ~ ~ . . .

" " '

The interval from C to G is still a fifth of some type. Remember, general names are determined by ramany lines and spaces (or how many letter names) apart the two notes are. . Whether the notes am

sharped, flatted or natural the general name does not change, only the specific name (or quality) of J;e

interval.

We already know from the last example that the note G is in the C Major scale. The G# in the first inte'"' d..

and the G b in the second, then, are not in the scale. Now we have to decide what these accidentaJs co tothe intervals - make them larger or make it smaller

In the first example, the upper note has moved up a half-step away from the lower note (which is

unchanged), making the interval one half-step larger. If we move up one specific name on the chart.

we find that this interval from C to G# is an augmented fifth.

In the second interval, the upper note is a half-step closer to the lower note, making the interval one half-

step smaller. Moving down one specific name on the chart, this interval from C to G b is a Diminished

When the lower note is not on the circle of fifths, as in the third and fourth intervals, ignore the accidenta

while finding the general name. These two intervals are sixths of some type ..

Then, consider what the accidental does to the distance between the notes. In the third interval, the .ower

note has moved up one half-step closer to the upper note, mak.ing the interval one half-step smaller.

Moving down one specific name (because the interval is smaller) on the Major-Minor side of the chart

(because sixths belong to the Major-Minor family) we find that this interval from C# to A is a Minor sixth.

Sim i la r ly , the fourth example is one specific name larqer than Major and therefore an augmented sixth.

Here are a few intervals for you to identify:

"J r. ."-t •. ~ - ff· •

111-

tJ • v- H ·

: , . . . ,.1 . . . • . . . .A . )( "7 . r . 5-

ToU I ~ I. . .

(Answers are on page 32.)

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. .TRIADS

Triads are the backbone of Rock. Most of the chords played in Rock are triads.

A triad is a three note chord in which the three notes are in certain specific intervallic relations.

Here is a table of triads:

"J r: .q

r ~ I f f . .

" J q ..fS _"IS ~ .hS I .WS I

.J M3t '-1.[ J M3 t '.JF-o m3 t v .J . [ r-o m3 tV .Jj·r::rolffi

. . . . . .1.

A . - - - .TOo 1. 1 ~ )l ~D J .. 7. 5l g

0 0 0 0

P5M3

P5m3

5dimm3

5+M3

Augmented(+)

Major(M)

Minor(m)

Diminished(dim)

The lowest of the three notes in each triad in this table is called the root. This is the note that

will name the triad. (These four triads, from left to right, are C Augmented, C Major, C Minor

and C Diminished).

Counting up from the root, we find that each triad consists of two intervals: a third of some

kind and a fifth of some kind. For example, in the C Augmented triad, C to E is a Major third,

C to G# is an Augmented fifth. Both intervals use the root as their lower note,

Combining the two intervals, the chart will tell you what kind of triad you have:

A triad that contains a Major third and an Augmented fifth is an Augmented triad.

A triad that contains a Major third and a Perfect fifth is a Major triad.

A triad that contains a Minor third and a Perfect fifth is a Minor triad.

A triad that contains a Minor third and a Diminished fifth is a Diminished triad.

Other combinations are possible, but are not widely used.

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Let's work out an example:

"I ,~ •. . •"'\ t. •J ':I_

tJ

. . .~ )(

• . &A . . . .~v

Starting with the lowest note, A, we find that we have a Major third ( A to C#) and a Perfect fifth

(A to E). Referring to the table of triads, we find that this example is an A Major triad.

Here are four more for you to work out. (Answers on page 32):

f'I J J.II t. U•. . . . h . . . '1 1 •IT'\ t. • v'S . .. . " ' ' ! Ii

, . , •. . . ' . lIi .... ::I'

,tJ II. - -

, . . . . . . , ~.1 . . . . . . .II ~A ' I J o )I ;:t ~~ ';I a .I ~

,U 'J

, I

There are two more things that you need to know about triads:

1. You may play the notes in a triad in any sequence, and they still form the same triad,

just in a different inversion (or order). The first three examples below are all

G Major Triads.

2. You may have as many of any of the notes in a triad as you wish, and in any octaves and

as long as you have at least one of each of the three notes that form the triad and no other

notes,it is still the same triad. The last tlhree examples bel'ow are all G Major triads. You are

probably used to thinking of these as G chords - Major triads (like Major scales) are commonly

referred to by their letter name only. A G chord means a G Major triad. A G scale means a G

Major scale.

f\ • f II II I-

IJ - ; . ; . . L- -( " 5 ;rr:"\ .So. '!Ii

J I""

tJ I J

. . . ., . . .. . . . . . . . H J . . . He, .. .J. oj oj " ' ' J Itf- o i&

A ,

. . . . I U J ii i

TooJ JfiI

D . .I

13

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DIATONIC TRIADS

Diatonic triads are the chords for a given key. Learning about them will enable you to

harmonize melodies and understand common chord progressions.

Here are seven triads to work out:

'\

• ]Ii

~ _.. _ . ]Ii • ]Ii

~, !"\ • ]Ii • ]Ii • . . .\C .,.1 ]Ii • ]Ii • . . .~ -i •

_T . . . ~ ".

• ft

"AI ". 'I )l 'I

A - x ~ ;r ~ ;r ~ "t'

_n II iii io I ..;J ~ I

V ..;J

'",

These triads are, from left to right, C Major, 0 Minor, E Minor, F Major, G Major, A Minor,

and B Diminished.

What is important about this sequence of triads?

If you look only at the lowest note of each triad, you will find that they form a C Major scale.

If you look at all the notes in these triads, you will see that every note in all of these triads is a

note that is in a C Major scale.

In short, we have taken a C Major scale and created triads using only other notes in the same scale!

Triads formed in this way are called diatonic triads. (What we call Major scales are formally

referred to as diatonic Major scales.)

Let's look at these again, but this time let's number them by the scale step on which they begin.

(I am using Roman numerals to number them):

1 '1 J'J

_]Ii

~ •]Ii

•]Ii

_L

"]Ii

• lIi • . . .\C lIi • _]Ii _ .tJ -i • . . .

I I ii iii IV V vi Vii(dim}

-<YI . . . . . . ~ ".

• . . . . . . . . A_A 'l " t l 'I

l _ A w II ;r II ;r

' ". . , .

_n Ir )I

' " '" '" I

IV ..;J v. I

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Looking at this further, we tind that:

I , I V and V are Major triads

ii, iii and vi are Minor triads

vii(dim) is a Diminished triad.

I am using c:apitalletters to represent Major triads (I), small letters to represent Minor triads

(ii) and smailletlers plus the abbreviation (dimto represent Diminished triads (vii(dim)).

There are no augmented triads in this particular sequence, but, if there were, I would use acapital letter and the symbol + to represent them.

The relationships we have found among diatonic triads for the key of C hold true for any key.

Here, for example are the diatonic triads for key of F:

~ II I J - J• ':I • ':II •• ':I • ':I

r,"" •i/ • _ . . .

.JI ii iii IV V vi Vii(dim)

0( . . . ~ ~. . . . . . ~ . . . A )Ii.~

H1. A )o f ~ ~ 1 0 I l ~ )(

A Ii

"aC ..:I OJ

,C O l. . V oJ

D

Once again, we find:

I, IV and V are Major triads

ii, iii and vi are Minor triads

vii(dim) is a Diminished triad.

Now you know what is meant by a I-IV-V chord progression. It is simply a chord progression that uses

only the three Major chords in a given key. Here is one such progression in the key of D:

, . . , , j j . • • . . . . • •oJ ":I ':I

•. . . -'S

•. 1"'-

' " • • ':Ii ':Ii • • ':I ':I

~ - - - -~ • • . . . . . . ~ - = . . . .

1 1 1 1 1 1. . . .

1 1 1 1 1 1

I(D) IV (G ) V (A ) IV(G)

nn ~ )

"~J -' I 'J l ~ I ) )

A - 'I - 'I ~ ~ ~ l i:

n I _ I _ ~ l! 1 ! 1 !D )o f , . ~ ~

This sounds very familiar, doesn't it?

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DIATONIC TRIADS (cont.)

Now, let's look at how these chords are used to harmonize melodies. When you say that a particular

chord harmonizes a note, what you mean is that the note in question is one of the notes in that chord.

For example, in the key of C:

II ILI •. . . • •"Ii. t.v ,J ... •.J •

. . .. . . . , . . yl_ . . . -" . . . . . . . .A . " " " "r. )I .l

V ~

The note A is a note that is found in three chords - 0 Minor (ii), F (IV) and A Minor (vi). Any of these

chords will harmonize any A note.

Every note in a Major scale can be harmonized using just the I, IV, and V chords. Here, for example,

are the I-IV-V chord choice to harmonize a G Major scale:

G Major 0 Major G Major C Major 0 Major C Major 0Major G Major

"I I _ l I I j f J j

LI . . . . I . - .111-

. . . . I • -"'

• . .'\

.J

I V I IV V IV V I

,. .11- . . .

, . . . , . . . . . . . . . u . . . o

1. It. ,. . U I o

A u ". . , .D

You can also harmonize a Major scale using just the ii, iii and vi chords. (The vii(dim) is rarely used.)Here are the li-lll-vl chord choices for the same G Major scale:

E minor A minor B minor A minor B minor A minor B minor E minor

"I I I I I ~ J j

LI -. . . . I - -". IJ

.J

vi ii iii ii iii ii iii vi

. . . ,. . . . .. . . . . . . . . . . . . . . u " .l

• . . . . . . . u • oJ

-4 . -u".....

III

This harmony gives you a very different sound than the I-IV-V harmony!

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The I , IV , and V chords are thought of as the pillar chords in a key. You can hear a song as being

clearly in a particular Major key even when just these three chords are used.

)-Iere is a melody with chords that uses just I , IV and V in the key of A:

r. .. . ~ I I I I I I\I ill 1. 0 - -~ '-It

@ J

I(A ) V (E ) I (A ) IV (O ) V (E ) I (A )

. . . . ,". ". ". ".

• n. . . . . . . 0.1 . . .

".

A L . . . .TO

.JJJ

The ii, iii and vi chords are considered color chords. They can add some spice, or a change of feel 0

a chord progression or song. Here is the same melody from the last example, but this time we are

using some color chords along with the I , IV and V chords:

, . . , ~ ~ I I I I I I

'>I ....t.'-It

_ . _•. r"\ • - -. . . .

@ J

I (A) ii (8m) iii (C#m) ii(Bm) V(E ) I(A)

.w-, - n . . . . d

.1 . . . \I "- 0.1 . . . . . . .A . . . .

" "nV

In the examples given so far, I have harmonized every note with a different chord. While this

is commonly done in classical music, popular music usually harmonizes only the most important

notes and allows the notes around them to move without requiring a chord change

For example, the first two bars in the progression below are harmonized with one chord per

melody note. The second two (which contain the same melody as the first two) are harmonized

with one chord per bar, regardless of the melodic motion:

II~ I I I I I I I I I I\I Iff. • • ". . . • C o - • • 0 - • II- ~ - - . .. ., .., . .@ J

ii(Am) iii (Bm) IV (C) i ii (Bm) V (0) I (G) i i (Am) IG)

.., ,. . . . n ,. . ,. . . . ".,. . II

.1 ".. . . • oJ \I

J"l . . . . . . I .J \I . . . II

A "- \I "- . . . . II

TIl II

L' II

The second two bars sound more like Rock chord progressions usually do.

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TRANSPOSITION

Transposition gives you the tools to take a song or progression and move it into any key. This is

often used to put songs into keys that you can sing in more easily.

Here is a melody with chords in the key of C:

" r . . ,. . . ." " " " " . . ._\:J ':It - • . . . . . . - • . . .@ )

- - -• - - • - - 0 4

Ie) V(G) iii (Em) V(G) IC )

.-ro

1. . . . . . .A . A . . . . . . . . v . . . . . . . . - . . . . v

to _ft_ . . .TIl . . . V "-

" " " ""- v

" " " " "- v . .II ~ " "

Maybe this melody in this key is a little high for your voice, and you want to move it.

Here's how to do it:

1. Pick the new key.

2. Determine the interval up or down between the original I chord and the new I chord.

3. Move all the notes up or down the same distance.

4. Move all the chords up or down the same distance, but keep their quality the same.

(Majors stay Major, Minors stay Minor, etc.)

Let's move the melody from the last example down to the key of A:

1. The new key is A.

2. The interval from C down to A is a Minor 3rd ( 3 half-steps).

3. Moving all the notes and chords down a Minor 3rd, we get:

" ~ ~W "" .... 11

_h_

U . . . ."

T"\ TI r. .~ j . . . . .I . . .

.@ J~ _ , - - - • - • . .

- - -- # I - - • - # I - -0 £ I

I (A ) V(E) iii ( C #m ) V{E) IA )

. . - . - .

.14. . . . . . . . . . . . . . . .~ . . . . . . . A

V" "

V ., . . . . , "-' "

., . . . . . ._ll v " "

'1' '1' "- '1' L V

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Transposition has another important use for guitarists. It lets you use a capo to obtain certain chord _

qualities in any key.

Lets say you have the following melody and chords in the key of D (This is a I-IV-V progression):

. .- , . . . ~ I I

w

"'-:I:,n' " • - - •• . . • ,_ ,

-I • :;r

@ J o -u

1(0) IV(G) V(A) 1(0)

~.1 . . . . . . . . . . . .A - ft A ' "

VA

V " . . . A ,. . . . I

n. V O f O f

"O f ~ V I

U I

Suppose that you really like the ringing, open string sound of the G, C and D chords diagrammed belo t.

G

a a

c D

x a x x a

~

,4,4 -

4 -4 _

4 •R R

Since these are chords for the key of G, you must transpose to key of D to find your capo position.

1. The original key is D, the new key is G.

2. The distance from G down to D is a Perfect fifth (seven half-steps)

3. Move all the chords down a Perfect fifth. Now you are in the key of G.

4. Put your capo on at the seventh fret and play the new chords. Leave the melody where' is.The capo is transposing the new chords back to the original key (D). Remember, in this case.

we are transposing in order to use certain chord forms, not to change the actual key.

Here is the melody with the new chords (to be played with the capo at seventh fret):

1\ .. I IW til

' ". . .r r"'- • . . . . - •\:L/ . . . . - • v -I • :;r

~a --u

IG ) IV(C) V(O) I {G )

..., I

.1 . . . . . . . . . . . I

A - . . . . . . " '" . . '" " . . . . - - . . . I

no ' ". . , O f

' "O f " ' - V I

_(J ~

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SEVENTH CHORDS

Ssvenfh chords are used to add color or tension in a piece of music.

Here is a table of sevenths:

fIJL UI

. . . . , h ,'"

, u:," 1 " " \ '!I "'!I IV "I

h '!I _ . . . . . . ....v 1

~ M3t-lJ M3 t - ILJ J m3t -I-JJ m3{ . J L f J v .J-JJP5 P5 P5 5dim 5dim

IT!

.1

Ii. I ;I l ~Tl_

~ il 1" :tJ..I ~ Io lII. . .

M7 m7 m7 m7 7dimP5 P5 P5 5dim 5dimM3 M3 m3 m3 m3

Major Seventh Minor Half-diminished Diminished(M7) (7) (m7) (0) (0)

In the same way that triads are constructed of two superimposed intervals (a third and a fifth)

from the same root, seventh chords are constructed of three superimposed intervals(a third, a fifth, and a seventh) from the same root.

Combining the three intervals, the chart will tell you what kind of seventh you have:

A seventh chord that contains a Major third, a Perfect fifth and a Major seventh is a

Major seventh chord.

A seventh chord that contains a Major third, a Perfect fifth and a Minor seventh is a

Dominant type seventh chord, commonly referred to as simply a seventh chord.

A seventh chord that contains a Minor third, a Perfect fifth and a Minor seventh is a

Minor seventh chord.A seventh chord that contains a Minor third, a Diminished fifth and a Minor seventh is a

Half-Diminished seventh chord.

A seventh chord that contains a Minor third, a Diminished fifth and a Diminished seventh is a

Diminished seventh chord.

As with the triads, other combinations are possible, but are not widely used.

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Let's work a few examples:

~ • ."r. .

I. ' S,

r, ~ ,~ • I. • 'SO,

"[J, ... • • -~ • - I

~ II

• ~A Il r :I..,. 11 . .U I

In the first seventh chord, you have a Major third, a Perfect Fifth and a Minor seventh, if you figure all t e

intervals from the root (lowest note). This chord, then, is an A7.

The second seventh contains a Minor third, a Perfect fifth and a Minor seventh, making it a Dm7.

The third seventh contains a Minor third, a Diminished fifth and a Minor seven. This one is

a B D (half-diminished).

Finally, the fourth seventh of these examples contains a Major third, a Perfect fifth and a Major seven

That makes it a GM7.

As you look at sheet music from different publishers, you may find that various seventh chords

are referred to by different symbols than the ones we are using. Here is a table listing a few

of the more common symbols that you may run into:

E x a m p l e s

Dominant type seventh

C? E min7,-S Fm7\.s

Major seventh

Minor seventh min?, m7 F#min7, Aj,m7

Half-diminished seventh 1 3 , min7~S m7;S min7,!>Sm 7h5

Diminished seventh dim, 0 Gdim,Ao

Here are a few sevenths for you to figure out. (Answers are on page 32):

~ I I.

-II.~

-~'S • •" . . v'S • I.

l..

~v

IrI

~, . . . , . . x_( _ ) ~ I!

d ) !If !If~D ~

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DOMINANT HARMONY

Dominant harmony is the strongest kind of harmonic movement found in Western music.

You hear it a lot, and you will use it a lot.

Here is a C Major scale with the function names of the seven notes given.

1 '1 IO J

~ -"r\ • • r-

"~ • • -~ -* • - I

Tonic Supertonic Mediant Subdominant Dominant Submediant Leading Tone

..,1'1.

• ,. . ,. . v

A . _ . . . . _ . . . . . . . u "-

-n o ,.. V "-. . ,

v . ,

Diatonic seventh chords can be constructed the same way that diatonic triads are - build a

seventh chord on each note of the scale, and use only other notes in the scale to build your thirds,

fifths and sevenths.

Here are the diatonic seventh chords for the key of C:

f l . • 1 1O J • S • ' : I I i

• ' : I I i • • ' : I I i

S • ' : I I i • _]I •\;.-.L_ • ' : I I i • -@ ) -i • -

.-.-, )I

• . . . ~ _J

A . • :r j ~-n o ~ _ 1 4 ~ ~D ~ . .

Looking at the types of seventh chords that result we find that:

IM7 andlVM7 are Major sevenths

iim?, iiim7, and vim? are Minor sevenths

vii0 is a half-Diminished seventh

V? is a Dominant type seventh

Sevenths of the Dominant type are so named because the only place they occur naturally

(that is, in diatonic construction) is on the fifth note or Dominant of a Major scale.

This is true for all Major keys - the only Dominant type seventh among the diatonic sevenths

is the V7 or Dominant seventh chord.

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What is so important about the Dominant??

It controls, or defines (or dominates) a Major key. Play this progression:

G 7 c, . ,

. . , . . ~rn"

~

tJ ~

V7 1

..,

• ft

4. )C

. . . . . i, IIII ~

This progression from G7 to Cis a typical. Dominant seventh to Tonic (or V7 to I) progression.

Notice how clearly it says "The End." This is considered the most satisfying chord progression

in Western music.

This is true in part because a Dominant type seventh is a dissonance and the Major chord to whichit resolves is a consonance.

A consonance is any chord that will stand on its own. When you hear a consonance, you

feel no tension; no need to move to another chord.

A dissonance is any chord that must resolve; that will not stand alone. When you hear a

dissonance, you feel tension; you want the dissonance to move to another chord.

People usually think of dissonance as unpleasant or harsh, and consonance as pleasant, but

that is not necessarily the case. Dissonance simply means "having a need to resolve."

Here are a few more Dominant (V) to Tonic (I) progressions in different keys:

c7 B7 E7 A

1 \ . I 0 I oT. - r:; e .r:; of'r- e :

~ " . 1 ' : : 0r." T.

'10 «10 ~ , ~ " " " «''10

'\: ":II: - 'f'I"-

"_ o f I " _ : l I ! '

tJ~

~ 1 : ~~ i6

" ? : , ; ?;

V 7 I ' 1 , . . 7 I V 7 I

T ~

•A.

·nc n

v

Notice that even though the particular chords in each example sound different, each V7 to 1

progression says "The End" quite clearly.

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SECONDARY DOMINANTS

Secondary dominants let you expand your chord choices by allowing you to borrow chords from

other keys.

Here are three chord progressions:

~T.. . . . ~ '", .n,.. ~ ~ , ~

. .. J ......" "

~.J - .( 1 i

_ : : : c .

~z c : :-6

rI\ n

_.! "I

A ~ )-

-'11oJ I ir

.u ~ . .~

What do these chord progressions have in common???

In each case the root movement, (that is, the distance between the roots of the two chords) is

down a Perfect fifth. This is the same root movement you will find in a V7 to I progression.

(In fact, the first progression of the example above is a V7 to I progression.)

Root movement down a Perfect fifth is considered almost as satisfying as a V7 to I progression,

even when the chords are not a Dominant seventh moving to a Major!

This an easy way to find a good chord to move to from any chord in a key. Here is a table of root

movements in a key:

rfee:laFifth (witttm ¥ J key)

I goes to IV

ii goes to V7

ii i goes to vi

IV goes to vii(dim)

(see below)

V7 goes to I

vi goes to ii

We are avoiding using the vii(oir:n) chord, because it sounds so much like )/7 chord that it can be €onf'llsing

(The 3 notes in the vii(dim) chord are the same as the upper 3 nates in the)/7 chord, and ' your ear tends to

hear it as a V7 chord. Because of this, IV tends to move to V7.

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You can combine these motions for longer progressions, for example here are two ii-V7 0 I

progressions in the key of G:

f\ ~ I " . : •I -":I: • • • • ~

r, '"1"\ • • ~ • -"

~ 'S r :

.J .z •~

~ • -- i l l - i l l 'z

ii (Am) V 7 (07) I(G) ii (Am7) V 7 (07) I (GM7)

rro ! ! ft

J_ 'llA 'r '1Tlo

. . ..IJ

ft, ~

Notice that while both the progressions move smoothly from one chord to the next, the second

progression, which uses sevenths, has a softer, jazzier feel. This is an example of using sevenths

for color.

You can use root movement of a fifth to string longer chord progressions together. Just be careful 0 eec

each pair of chords the correct distance apart.

Here is an example of the frequently used iii-vi-ii-V7 I progression, in the key of C:

fIII 1~ • • - " - : t

• • 'S ..."

r,;, ' " • - ><

" J '":I: - :: I i • . . . . . .tJ J ~ • - ~

... E-' )

- i l l "'I

I I I ( m7 v i (Am7) ii (Dm7) V 7 (G7) I (eM7)

rro ft

j_

'!lA j :tTlo I oJ j

D . . . •oJ

Real smooth, isn't it!

What would happen if we changed all of the chords (Except the last one) in the example above

to Dominant type sevenths? Play this progression:

"~

II

' "&..

. '" :I I : • • :: I i" " ",

"' l.i!''S '" , • - x

~ • ><._j :I - = • - ~

"I- i l l "'I

. . . . . . . .1. 'J l4. ' ; : : (

n,,) I

D . . .v

That sounds quite different from the original progression, doesn't it?

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SECONDARY DOMINANTS (cont.)

The last example makes use of secondary dominants. These are chords borrowed from another key.

Here's how it works:

Pretend that whatever chord you are playing is I. I'll use G7 for an example.Wait a minute!! A Dominant type seventh chord can't be I. I is Major or a major7.

True! But let's pretend for a moment that it could be.

If G7 is I, where is V7?

Right!! It's 07. So now we'll play V7 to 1- 07 to G7:

II ~ I....1. 1 r: . " ' . . . . "1'"q -,

, " ' r : . rr . . .~ q '"~

c;

~

07 G7

. . . . . . !

1A j

-no

D

Problem!!!! When we land on G7, it's still dissonant and still wants to move to C.

OK, let's move to C:

II . . .1. 1 r: . . . . . ,q ,

IJ q . . . . ~.~

~~

G 7 C

~I. ,AT.

,'D

-

That's better! Now we have resolution.

When we pretend to be in another key by using the Dominant chord from that key, we are using thechord (in this case 07) as a secondary Dominant. Here's the whole progression:

"~ (. ,

" ' . . . . . , . . . .q ' " ."' --,;

r. . . . . . . . .\: q . . . . ><

~c;

~~

0 7 G 7 C

~I.

A. . . . . I

.u •.-6

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I.thas a real ragtime kind of feel to it now, which is quite different from the smooth jazz /pop fee·1t

had before we changed all the chords to Dominant type sevenths.

Since the D7 resolves to the real V7 chord (in this case G7), we will call it V7 o f V7 or V of V for short

You can string longer proqresslons together with secondary dominants just like you did with

chord movements that remain within one key. For example, once again:

r a ~J -# ". . 1 ' . : _oI!I"-, . . . . . .I ' . :

~ ":It: ,f: " - . 0 0 1 r:r"" ,. ~

" -L1 . .. .. ~ .., . . , .~ . : : : : : r;,;

~-!:

-6

A7 07 G7 C1\ 1\. . , . x ~

! :. J..0. x n .,"' iii

. . . ,g . . . , . . .

. . .

Here, you have a secondary Dominant of a secondary Dominant:

When you play A7, you are pretending to be in the key of D

When you resolve to 07, you are pretending to be in the key of G

When you resolve to G7,.you are finally in the key of C, where you will remain.

When itis used like this, A7 is called V o f V o f V.

Below is a table of secondary dominants that tells you both where they resolve within a key

and what to call them in longer cycle. Remember,. all of these chords are Dominant type sevenths,

regardless of what type of seventh normally occurs on a given scale degree.

Ibecomes V of IV

ii becomes V o f V

iii becomes V of vi o r V of V of V of V

IV does not work in this cycle(s e e b elo w )

V7 remains V7

vi becomes V o f U o r V o f V o f V

~ ~ l1 § . S a D am in ) res o lvas to th e fla tte d s eve nth d eQ re e o f th e s ea le ,

, V Y f t r c l 1 is G o t o f k ey a lt og e th er ., .

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THE RELATIVE MINOR

The Relative Minor gives you an entirely different feel and a different set of harmonic relationships

using the same notes as the Major scale.

Here is an A Minor scale:

f\ _1

1.1

~~L/ ~ • . .~ - : J . - - , J . . • . .

L-whole-- half-· -whole -. -whole half whole half_jstep step step step step step step

. . . . . .• ,. . . .A . . . . . . . . . u

" '"r. ,. . . . . . . u " '" ~__!! U II:. a

Notice that this scale contains exactly the same notes as the C Major scale. The only difference

is that you are starting on A rather than C. But this is a huge difference!! With A as Tonic, we can derive

the following diatonic triads for the key of A Minor:

1\L. I

III

F, r'\.< II 'I :I

'I III "I III. .

~ 1 - I i •

i i i(dim) I U Iv v VI VII

. . . . .. . . . . . .

. . . .J. ':l

• . . .1 0 1 ~ ';I' iI C ';I'A - . . . . . O J

fr ~ fr ~ io I~

r. -;,1 III

"M oJ

OJ I

Analyzing this, we find that:

i, iv and v are Minor triads

III, VI and VII are Major triads

i i(dim) is a Diminished triad.

Here is a i-iv-v progression in the key of A Minor:

1\'I III III

ill

III ill - . . III'"t

ill . . 'lII '!I . . IIIF,~ ,~ ill

'lII

@ J_ : : " ' : ~ • • i :i

~ _ : : " ' :

. . . . . . . .. . . 11

i(Am} iv (Dm) v(Em) j(Am)

. . . . . . ~.~

• I Ij I

A - I II j I

. . . . . I, ,

D

This sounds very different than the I-IV-V progressions in Major keysll

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Notice also that the VII chord in A Minor is a whole step below L (vU(di ) is a half-step below I in aj

keys.) This means that the seventh degree of a Minor scale is no a leading tone (which by defini ion, IS a

half-step below the Tonic with a strong tendency to move 0 the Tonic). out is instead a subtonic.

This is another important difference. Here is another important Minor ey progression -

the VI-VII-i progression:

1\ I" .y t. , . . . .

.~.~-:..1q r. . . . . x

- i j~

~

'-

-6-e-

V I (F ) V I I (G) i { A m )

~.1

A,

. . . . ,f'I

-u

You can make a relative Minor scale for any Major key by playing the Major scale notes, in sequence,

but starting on the sixth degree of the Major scale. Then re-number the scale steps for the new Minoscale that you have made. Here is an E Minor scale, which is the relative Minor for G Major:

, . . , , I j . I I 1 Iy ~ .01 •01 • -•"" • . . .

...I -J. .Lhole --. half -- whole - whole half -- whole -- half_j

step step step step step step step-. . . . . . . . u I

• . . . . . . u • v

A . . . . . u '" I

T"a

""t"

ID I

Now you try a few.

Find the relative minors for the keys of A,D,Eb,and Bb. Answers are on page 32.

Here is a v-i progression in E Minor:

1 '\ , I j .lit '$ r.

.. . . .

L.I- '$

~ c : : z

v(Bm)~I (Em}

- t

•. . . . . .D ~ I

Notice that it does not have the same compelling pull toward ithat V7 to I has in Major. It stiB

defines the key, Any piece of music that has i,iv and vall as Minor chords is in the key of iMinor.

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THE RELATIVE MINOR (cont.)

What defines a key and scale??

Every key has one note to which all the other notes refer back. This note is called the Tonic, and will

be the first step of a scale. (This is called tonality, and is about the location of the Tonic. A Major, A Minor

and any other A scales are all said to be A tonalities because A is the first note or Tonic in each of them.)

Every type of scale has its own unique sequence of whole and half-steps from the Tonic, and its

own unique set of diatonic triads. (This is called modality, and is about the relationship of the notes

in the scale to the Tonic. A Minor, D Minor and G Minor are all Minor modalities, but are in different

tonalities. A Major and A Minor are in the same tonality, but in different modalities.)

Here is a table of definitive chord progressions for Major and Minor Keys:

ressions

I - I V and V( all majors)

V7 -I

I-ii -lll ( a whole step apart).

ii-V7-1

In Major Keys:

In Minor Keys:

i-iv-v (all minors)VI-VII-i (a whole step apart)

To determine the key and scale of a particular song:

Find the Tonic. (Hint - Most songs end on the Tonic chord!!)

Look for progressions from the table. If you find them, they will tell you the modality of the song.

(Some songs are in modalities other than Major and Minor. You won't find progressions from

the table in them.)

What are the key and scale for these two progressions? (Answer on page 32)

'"~

' ". . . , . • w..-. . . ,

h::ll . ' - . . . , .

r,n. '"

v- r. ,,::II • -~ IL '":I:: 0 l 0 i ' : : 1 1 r:

~ b i -i (.J

i~~~

T c : :

" ' i l l

In_

_! _

A~-

u

'"

-0

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A :N S W E RS T O E XE RC IS E S

Major Scales (Exercises on page 7..)

1. D Major

I

. .Lhole_. whole hall~- whole- whole-whole -_. half...Jstep sl"p step step step stsp step

3. E Major

I I I

Lwhole - whole half- whole_. - wholewhole -- half...Jstep step step step step stap step

5. B~Major

I I

" . .whole -whols - half- whole- whole.-. whol·s- haU_jstap step step step step step step

Cir~leof Fifths (Exercises on page 9.)

Key o f C

Key o f G

Key o f D

Key o f A

Key o f E

Key o f B

Key of F

Key o f B~

Key o f E b

Key o f A I >

Key o f D b

No sharps o r flats

1 sharp: F#

2 sharps : F# and C#

3 sharps : F#,C# and G#

4 sharps : F#, C#, G# and D#

5 sharps: F#, C#, G#, D# and A#

1 fla t: Bb

2 f lats: B~and E b

3 f lats: Bb,Eb a n d A I >

4 flats: B b ,E b ,A ba nd D b

5 f lats: B b , E b , A b , m and G b

2. A Ma jo r

Lwhole-whole- half-whole - whole-Whole-· _. ~~step step step step stsp sl~P s;oc

4. E b Major

Lwhole -whole - hall-· - whole- whole-·1'.11Oi<'- half_jstep step step step step step step

6. A I > Major

Lhole whote half- whole- whole-whole -- half_step step step step step st..p step

31

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ANSWERS TO EXERCISES (cont.)

Intervals (Exercises on page 11.)

f\"II

"~ , ." LJ '-:I:U

tJ - . . . . - H -m7 5+ 2+ 5 dim

rT>

.lf!" A . . . . .

A . X ' '7 A 5-

T10. . , I . . . I

D

Seventh Chords (Exercises on page 21.)

"I I.,. - fl. ' .• fl •

"- "::It: !'It:::. •tJ v - lrI

E~M7 F7 A ( ( J B~7

, . . . ,.I.

A . J.. . , . }:

v }!

Relative Minor (Exercises on page 29.)

1. Key of A : the relative minor is F# Minor

2. Key of D: the relative minor is B Minor

3. Key of E~: the relative minor is C Minor

4. Key of B b : the relative minor is G Minor

Re'lative Minor (Exercises on page 30.)

Triads (Exercises on page 13.)

1 '\ uu •-:I: h

. . . •. v'S " " " ' , . ; •:IIi

" "J 11 _ - -D Maj E Dim E Maj A Aug

, . . . . . , ~.l . . . . . . A

)l

A . 'i' )I ;r illT10 ;: r aI II

,.Lt ~ , ,

-#~ '7;

Key of B Major

.I.

v

. .Ii c ; ; .

Key of D Minor

I I 't .

IIII ,

-2

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T h G U IT A R T E CH N rQ UE S Series

the ,sefie.s daslgned t o ·gel 'rCUil

sta n led , Each beCI c _Iearfy p,resents' t lrl,e8§snth:JJ ,eo 1 1c'e p i s . ; In t ,ab ia ture and]

nolalon l, hl lgt l l lg 'Mi l l lg :Sp6clf ic efem,ems:",j] ; i i " i ! 1 - - - · ! I < - . i ! " ' i f A~~l i ' io " anal l i l 'U!J1Sic theol l 'V",I ~IJI!II~ I " " l ! I I i i ! I ! ! i r ' !'~,:;:" ---- ___ _ _ _ _ _ _ "'

T 1 h l s ,B o o k I lnhadiLllc'ss:

Ij' 'Clrol 'e ' O f ! F l t H h s i

i ! ! ' l ' n teNGls ,

! ! I i ' ' m l il ia d s ;

" " i i l ' - - - - - - ,- J H l i~ n.' ~Imns~ __c :_ J

. ' , Seconda ry ' D o m l ' l i ' l r Q m s