whole tone / augmented scale
Interesting in that of all of the
possible groups of pitches created within the equal tempered system, the grouping with
perhaps the simplest intervalic formula creates a most unique sounding, distinctive and
potentially important color for the advanced creative musician. I include this color with
the major scale colors simply because it uses a major third in it's construction. Rarely
if ever used as a tonal center color as say compared to the major / relative minor or blues groups, the whole tone
color is a "tension creator" and as such is used to accelerate or heighten the
need to resolve. For the augmented color is perhaps more of a hybrid
or symmetrical scale, than
something that evolved out of our older, modal system of musical resources. Dig the
wholetone / augmented color in a resolving manner to the minor tonality.
Example 1.

From the example above, we sense
that the wholetone color's tonal instability relegates it to the dominant sounds / chord function and harmony.
As the name implies, our augmented /
whole tone group of pitches is constructed exclusively of whole tones, simply a series of whole steps or major seconds that "loops" back onto itself after it's
sixth occurrence, thus a symmetrical scale. Sound out the pitches below, creating a 2
octave whole tone scale whose root pitch is C.
Example 2.

Cool huh? Sounds major for sure, not
minor, but there is a definite twist to it. The two different spellings used in each of
the 2 octaves in example 1 are simply enharmonic equivalents. Can you see how it
"loops" (repeats) onto itself as we ascend the octaves?" Do you dig the
sound and color? Is this a new color for you? From where does this unique whole tone
color organically originate? Personally, I think it simply emerged from the theory of
equal temperament, the dividing up of the octave into 12 equal parts. Why does the term augmented come into play? Simply in that the
fifth degree is "augmented" or raised up by half step. This term perhaps figures
more in with augmented
chords than scales, but raising the fifth by half step is why I apply the term to this
group of pitches.
So why is the whole tone color
important to the creative musicians palette? The whole tone color is a very unique and
character sound and its importance in the jazz world is dependent on the sound and style
of the individual players and composers. It is a bit hard to "control" and
disguise due to the strength of its coloring and its ability to quickly suspend the tonal gravity associated with diatonic / key
centered melodic ideas. Much diligent study and experimentation with the whole tone color
enables the improvising player to create lines and melodies that captures the whole tones
colors haunting semblance of diatonically "belonging" while retaining its
quality of being outside the diatonic realm,
by its ability to "blur" established key centers and suspend tonal gravity. It
is amazing how quickly the sounding of the whole tone color can suspend tonal gravity, it
is potentially a big player in the creation of artistic tension and it's release. A second important
theoretical aspect of the whole tone color is in it's potential for use in modulation, the
ability for one group of pitches to resolve to multiple keys of either the major or minor
tonalities. The whole tone color is an essential although rather advanced color used to morph or crossing from the one tonality to the
other, i.e., major to minor etc. Lets look at the theory, explore each of the above
ideas and find a place for this exciting color on our artist palette.
There are many important aspects of
this whole tone color, which are for the most part created by the absence of a half step
interval anywhere in it's intervalic formula. With no leading tone, as experienced in the major
scale, the consecutive whole steps potentially give equal tonal "weight" to all
of the pitches within the group, and thus no single pitch overwhelmingly emerges as a
tonic. From each of the pitches within the group, symmetrical interval lines can be
created in major seconds, major thirds, augmented fourths ( tritones ), augmented fifths
and augmented sixth's, the augmented sixth being perhaps more commonly labeled the
"flat, blue or dominant seventh." Let's examine each interval.
The one octave whole tone scale is
simply a series of six consecutive whole steps. It is a non diatonic, hybrid scale and generally is
not associated with any key signature of either the major or minor tonal environment. Lets
build a whole tone scale from the root C. We do this using the interval of a whole step or
major second. Example 3.
| intervalic
formula |
whole
step |
whole
step |
whole
step |
whole
step |
whole
step |
whole
step |
whole
step |
| pitches
of the C whole tone scale |
C |
D |
E |
F# |
G# |
A# (Bb) |
C |
Here is the music created from the
above pitches. Example 3a.

Thinking in major thirds, 2 whole
steps, we can create an interesting loop of
pitches. Example 3b.
| pairing of the major
thirds from the pitches of the C whole tone scale |
C to E |
D to F# |
E to G# |
F# to A# |
G# to C |
Bb to D |
Here is a melodic idea in thirds.
Example 3c.

When three whole steps are combined
together, they create the interval of a tritone.
Due to the symmetry of the intervalic formula, each of the pitches of the scale can be
grouped in six pairs of tritones. Pairing tritones of the C whole tone scale. Example 4.
| pairing of the tritones
from the pitches of the C whole tone scale |
C to F# |
D to G# |
E to Bb |
F# to C |
G# to D |
Bb to E |
Here is a melodic permutation alternating up and down tritone
intervals. Example 4a.

Six tritones in one group of pitches
mean lots of potential resolutions.
Realizing the permutation potential of the whole tone group with the ideas above perhaps
begins to explain the this groups elusive color in relation to the tonicized world
of equal temperament and the forces of tonal gravity. These attributes, the absence of a half step interval ( thus no leading tone ),
and the six major third / tritone pairings contained within the group help define the
color and provide fundamental ways to initially employ the whole tones unique color.
When four whole steps are combined
together, they create the interval of a augmented fifth. Adding this interval to the root
and major 3rd creates the augmented
triad. Due to the symmetry of the intervalic formula, each of the pitches of the scale
can be grouped in six pairs of this interval. Pairing augmented fifths from the C whole
tone scale. Example 5.
| pairing of the
augmented fifths from the pitches of the C whole tone scale |
C to G# |
D to A# |
E to C |
F# to D |
G# to E |
A# to F# |
Here is a melodic idea in augmented
fifths. Example 5a.

When five whole steps are combined
together, they create the interval of a minor seventh. Due to the symmetry of the
intervalic formula, each of the pitches of the scale can be grouped in six pairs of this
interval. Pairing blue sevenths
of the C whole tone scale. Example 6.
| pairing of the blue
7th's from the pitches of the C whole tone scale |
C to A#
(Bb) |
D to C |
E to D |
F# to E |
G# to F# |
Bb to Ab
(G#) |
Here is a melodic idea in blue
sevenths. Example 6a.

For the improvising musician, wider
interval lines are more difficult to execute, but they are very distinctive and provide a
nice contrast and balance to a more horizontally scaler, linear
or arpeggiated approach.
With the above
intervalic ideas in mind, looking at whats "in between" the pitches of the
C augmented group, we can create a second whole tone group of pitches. Here is a chart of
the pitches of the two groups. Example 7.
| C |
D |
E |
F# |
G# |
A# (Bb) |
C |
| Db |
Eb |
F |
G |
A |
B |
Db |
Any guesses as to the intervalic
formula to creating the group of pitches from Db? Lets recreate the above chart and
musical example using Db as our root or fundamental. Example 8.
| intervalic
formula |
whole
step |
whole
step |
whole
step |
whole
step |
whole
step |
whole
step |
whole
step |
| pitches
of the Db whole tone scale |
Db |
Eb |
F |
G |
A |
B |
Db |
Look familiar? Right, consecutive
whole steps. Are there any pitches we have not used? What group of pitches is created if
we combine the letter names of the whole tone scales built from the roots of C and Db?
Lets add them together and see. Example 9.
| C |
D |
E |
F# |
G# |
A# (Bb) |
C |
+
Db |
Eb |
F |
G |
A |
B |
Db |
|
|
|
|
|
|
|
|
If you answered the chromatic scale, cool! If you chose
a different answer, what aspect of the theory or combinations of pitches is
unclear? Are you hip to the chromatic group of pitches? Try to isolate the confusion
then sort out the elements, then recrunch them down. Like certain mathematical concepts,
this whole tone theory "perfectly" closes on itself, regardless of letter names
or starting point.
If combining these two distinct
whole tone scales together covers all of the pitches of the chromatic scale, does it stand
to reason that we would be able to extract whatever whole tone group of pitches is
necessary for use in the combined 24 major and minor key centers from either of these two
groups? Yes it does. Simple but way
cool, the perfect symmetry of the intervalic construction of the whole tone color allows
for any one pitch to become the letter name from which to identify the group. These two
distinct whole step groupings cover all the melodic and harmonic possibilities created by
the 24 tonal centers of the major and
minor tonal environments. It is all a matter of respelling the pitches to fulfill the
requirements dictated by whatever tonal center is being employed. Here are the
pitches of the C and Db whole tone scale spelt from each of its six possible roots.
Example 10.
| "C"
whole tone scale / 6
different roots |
"Db"
whole tone scale / 6
different roots |
So any pitch of either scale can
become the root of that grouping of pitches? So, can we build an augmented triad from each
pitch? Exactly. Cool huh? Respelling the groups enharmonically above is based on trying to
label the pitches as closely to the major scale of the same root. Cool with this? Here are
the 12 whole tone scales written out to help get them under your fingers. The root scheme
follows the cycle of fifths. Example 11.












So where do we employ the whole tone
color in our music? Well, potentially lots of places. Click improvisation for some ideas, or
perhaps augmented chords
for a look at the harmony created by this unique musical configuration and color. If the
color sounds a bit off, no worries, it usually takes a while for it to make sense. The key
thing perhaps at this juncture is to recognize it exists, recognize the sound and look for
it in the music your listening to.
| Where
to next? |
| review |
new
ideas |
 |
 |
|
"Please... let me learn by
my own mistakes".
Tamzen Crocker