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For this first column, I feel
its best that we start off with something simple. The purpose
of this column
is to show which chords can be derived from the Major Scale,
how one would come to these said chords and what possible tensions
can be applied to each chord while remaining diatonic to the “mother” scale.
A few things to note:
- All examples can be transposed into any other
key, though for the majority of this column I will be using
C major as our primary scale, this will make the given information
easier to digest.
- The harmonization applied here will be
tertian in nature, meaning we will be constructing chords
with superimposed 3rds, as opposed to say,
quartal or secundal harmonization, etc. (something we will touch
upon in a later column.)
C Major Scale
Most readers will already be familiar with
most major scales, and I am sure all will have heard/seen the
C major scale before. For those who do not know, the Major
scale is created by applying the following formula to a tonic
(root): Whole step, Whole step, ½ step, Whole step,
Whole step, Whole step, ½ step. Apply this to C and
you get the following:

Now,
how do we derive chords from this given scale? Further, how can
we make sure these chords are diatonic to our mother scale? This
is simple, lets start with the 7 triads found in C major:
Here,
we stack 3rds on each degree of the Major Scale until we
have 7 triads:
C
C, E, G
[1,3,5] |
Dm
D, F, A
[1,b3,5] |
Em
E, G, B
[1,b3,5] |
F
F, A, C
[1,3,5] |
G
G, B, D
[1,3,5] |
Am
A, C, E
[1,b3,5] |
B dim
B, D, F
[1,b3,b5] |
As you can see, we stacked these triads in
3rds as we discussed earlier, I feel it is important that the
reader familiarize himself to tertian harmonization before
he attempts to explore other possibilities. The reason for
this is that most songs and pieces that musicians come across
are constructed upon tertian harmonic structures, it is important
to explore this type of harmonization in Tonal and Modal music
before moving on to other types of harmonizations.
Taking this idea 1 step further, let us harmonize
to the next tertian scale degree so that we can get seven different
diatonic 7th chords in our mother scale of C major.
As you can see we now have seven different
7th chords diatonic to C major:
Cmaj7
C, E, G, B
[1,3,5,7] |
Dm7
D, F, A, C
[1,b3,5,b7] |
Em7
E, G, B, D
[1,b3,5,b7] |
Fmaj7
F, A, C, E
[1,3,5,7] |
G7
G, B, D, F
[1,3,5,b7] |
Am7
A, C, E, G
[1,b3,5,b7] |
Bmin7b5
B, D, F, A
[1,b3,b5,b7] |
Finally,
lets take this principle all the way, and stack up the entire
major scale onto itself, taking into consideration as always
the tertian
harmonization in question (again a limitation set for this
column only). This is what you would get:
Cmaj7
(9 11 13)
C,E,G,B,D,F,A
[1,3,5,7,
9,11,13] |
Dm7
(9 11 13)
D,F,A,C,E,G,B
[1,b3,5,b7,
9,11,13] |
Em7
(b9 11 b13)
E,G,B,D,F,A,C
[1,b3,5,b7,
b9,11,b13] |
Fmaj7
(9 #11 13)
F,A,C,E,G,B,D
[1,3,5,7,
9,#11,13] |
G7
(9 11 13)
G,B,D,F,A,C,E [1,3,5,b7,
9,11,13] |
Am7
(9 11 b13)
A,C,E,G,B,D,F
[1,b3,5,b7,
9,11,b13] |
Bm7b5
(b9 11 b13)
B,D,F,A,C,E,G
[1,b3,b5,b7,
b9,11,b13] |
Now
we have every possible diatonic tension stacked onto every
scale degree. The applications of this idea are actually
much more extensive
than one would, at first, perceive. The main point to consider
for its application to guitar is that obviously you will
not be able to play any of these chords in their entirety,
but that is
not the point we are looking for per se.
With
this outlook on diatonic harmony, one is free now to choose
tensions that
go with the basic
triadic or 7th chord harmonizations. There are entire chapters
of books written on the subject devoted to which tensions
go best with which chords, but that is not what I would
like to go into
in this column.
Rather,
I think its best that the reader attempt to play all voicings he
can think of for each particular
degree
of the scale, listen to said voicings, and create a vocabulary
of which chords he/she deems to be best or most suitable
to his playing/composing
style.
An example
of possible chords on each scale degree, all diatonic to C major:
C: Cmaj7,
Cmaj9, C (add9), C6/9…
D: Dm7, Dm9, Dm (add 9), Dm11, Dm6…
E: Em7, Em11, Em (add b13), Em11 (b13)…
F: Fmaj7, Fmaj9, Fmaj7 #11, Fmaj9 #11, Fmaj9 #11 13, Fmaj7
(13)…
G: G7, G9, G9 (13), G add9, G6/9…
A: Am7, Am9, Am11, Am (add 9)…
B: Bm7b5, Bm7b5 (add 11), Bm7b5 (add b13), B diminished [triad]
(add b9)…
Again,
some of these chords might sound terrible in one style and
work perfectly well over another. Even more subjective: They may sound
great to one reader and terrible to another, sound best in
one register as opposed to another, once more the options become endless.
In
the end, it is the composer/performer that needs to dive into the
material and choose which voicings he/she will reject and which
voicings he/she will apply to compositions and/or chordal
vocabulary. The number of voicings open to the reader is staggering, but
that
is the beauty of it… one is not bound by anything but patience
and imagination.
If there are any musical terms in this article that
you are unfamiliar with, I recommend visiting Virginia
Tech Multimedia Music Dictionary. Also, feel free to ask me
any questions you might have regarding music theory in the Guitar Messenger Forum.
Roberto's currently listening to: Stravinsky-
Symphony of Psalms
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