colortone series experiment / results
Chart # 4.
Convergence "area" of the dominant /
Five chord type creates the following harmonic pathways towards the major tonic.
| G7 |
| B min 7 b5 |
| D min / maj 7 |
| F maj 7+5 |
| A maj 7 |
| C# min 7 |
| E maj 7 |
| G# min 7 |
| B maj 7 |
|
C
major 7 |
The extending of each of the chord
type arpeggios based on the equal tempered colortone series can potentially expand the
resource. The overall concept here, as previously stated, is to view possible scale
choices associated with various chord types as a group of pitches to create melodic ideas
from over that particular harmonic color. If one was to apply this concept to the major
scale, the melodies created with this group have warmed the hearts of endless generations
and today continues to yield new, interesting and important combinations. For instance,
the American classic "Home On The Range" and Charlie Parker's bebop classic
"Confirmation" are two melodies created from the pitches of the major scale that
tell two very different stories.
From charts #4 and #5 below, the polytonal implications are obvious. E maj / G, A
maj / G etc. Perhaps these chordal possibilities will yield new directions for scale
choices and voicings, whether accompanied with a Two (ii-7) chord or not. The scale
choices are pretty generic, George Russell's book,
The Lydian Chromatic Concept of Tonal Organization thoroughly outlines further
concepts in scale choices.
Chart #5.
Pitch analysis of each of the chords within the chart in regards to G dominant harmony
converging towards C major.
| chord |
pitches of chord |
interval relation to G
7 |
parent scale |
|
|
|
|
G Mixolydian |
|
|
|
|
B Locrian |
|
|
|
|
D melodic minor |
|
|
|
|
G Lydian b7 |
|
|
|
|
A major |
|
|
|
|
B major |
|
|
|
|
E major |
|
|
|
|
Gb major |
|
|
|
|
B major |
Results. A musical realization of
each of the above colors using a dominant
pedal underneath and a bit of the color in the chord then resolving. Watch for enharmonic spellings in a few of the
following ideas.
| 1 |
G Mixolydian |
nothing heavy here,
diatonic G 7 sounds and colors. |
|

| 2 |
F Lydian |
diatonic sounds and
colors, leading tone 7th chord. |
|

| 3 |
D melodic minor |
many interesting colors
emerge, two pairings of tritone intervals, the # 4 to V 7 tonic ( C# to G ) and natural 3
to flat seven ( B to F ), the #4 also lends a bit of whole tone color. |
|

| 4 |
G
Lydian b7 |
the pitches of G Lydian
b7 and D melodic minor are identical. The difference perhaps being which pitches we choose
to emphasize. |
|

| 5 |
A major |
using the A major triad
puts us in the upper part of the G 7 arpeggio and creates a polytonal sound. |
|

| 6 |
C# minor |
gets us a half step
above the tonic creating a parallel motion to the tonic. |
|

| 7 |
E major |
using the E major triad
puts us in the upper part of the G 7 arpeggio and creates a polytonal sound. |
|

| 8 |
G# minor |
convergence motion from
a tritone away ( Gb to C ). |
|

| 9 |
B major |
convergence motion by
half step ( B to C ). |
|

So, have a sense of what might be
"out there" from the upper part of the dominant colortones? Find any convergence lines you dig? Maybe run that
color through the other 11 major keys?
Any of the above ideas sound tempting towards the minor tonality?
Can we simply apply any convergence color that utilizes pitches of the natural minor
environment?
Chart #6.
Can we combine each 4 note segment from each of the charts into Two / Five / One
groupings of seventh chords? That if sequencing the first 4 pitch grouping from each chart
creates the diatonic D -7 / G 7 / Cmajor 7, what Two / Five / One grouping is created by
sequencing the next 4 note segments of each of the three charts together in this fashion?
Thus, each of the seventh chord entries actually correspond to one another as we move step
by step through the interval charts? Do these pairings constitute possible substitutions
for that particular harmony? Can we define tonal proximity by degree of diatonicism?
That's a yes. One way into this is to examine the tritones in each of the groupings and
look for numerical patterns. Can we create cycles of chords that we dig and substitute
them into jazz standards? Perhaps write our own compositions based on our discoveries?
Potentially some important questions for the creative musician.
Here are the systematic Two / Five /
One groupings from each of the three interval charts with a description of each entry. As
cool ideas emerge, perhaps write them out. Click printable
manuscript for musical scratch paper.
| |
ii minor 7 |
V 7 |
I major 7 |
convergence |
| 1 |
D min 7 |
G 7 |
C maj 7 |
- |
| 2 |
F maj 7 |
B min 7b5 |
E min 7 |
- |
| 3 |
A min 7 |
D min /
maj 7 |
G maj 7 |
- |
| 4 |
C maj 7 |
F maj 7+5 |
B min 7 |
- |
| 5 |
E min 7 |
A maj 7 |
D maj 7 |
- |
| 6 |
G maj 7 |
C# min 7 |
F# min 7 |
- |
| 7 |
B min 7 |
E maj 7 |
A maj 7 |
- |
| 8 |
D maj 7 |
G# min 7 |
C# min 7 |
- |
| 9 |
F# min 7 |
B maj 7 |
E maj 7 |
- |
| 10 |
A maj 7 |
D# min 7 |
G# min 7 |
- |
| 11 |
C# min 7 |
F# maj 7 |
B maj 7 |
- |
| 12 |
E maj 7 |
A# min 7 |
D# min 7 |
- |
| 13 |
G# min 7 |
C# maj 7 |
F# maj 7 |
- |
| 14 |
B maj 7 |
F min 7 |
A# min 7 |
- |
| 15 |
D# min 7 |
Ab maj 7 |
C# maj 7 |
- |
| 16 |
F# maj 7 |
C min 7 |
F min 7 |
- |
| 17 |
Bb min 7 |
Eb maj 7 |
Ab maj 7 |
- |
| 18 |
C# maj 7 |
G min 7 |
C min 7 |
- |
| 19 |
F min 7 |
Bb maj 7 |
Eb maj 7 |
- |
| 20 |
Ab maj 7 |
D min 7 |
G min 7 |
- |
| 21 |
C min 7 |
F maj 7 |
Bb maj 7 |
- |
| 22 |
Eb maj 7 |
A min 7 |
D min 7 |
- |
| 23 |
G min 7 |
C maj 7 |
F maj 7 |
- |
| 24 |
Bb maj 7 |
E min 7 |
A min 7 |
- |
| 25 |
D min 7 |
G 7 |
C maj 7 |
and back
to where we started. |
Profile
of Experiment. When a player expands their tonal resources to include the upper structure components of the naturally occurring overtone
series of the equal tempered system of tonal organization, the tonal gravity of
their melodic and harmonic lines potentially takes on a "softened", less
"tonally" centered or directed character. Jazz legend Charlie Parker described
his experimentation with these same upper structure components while shedding over the changes to
"Cherokee" as one of the "turning points" in his artistic growth. It
usually takes time to assimilate and accept these upper extensions as sounding
"correct." The execution of the arpeggios from their fundamental pitches
provides the "springboard" into the their upper structure components. This kind
of approach to creating lines is all over The
Charlie Parker Omnibook, one of our American music bibles. This may be especially
true when initially addressing dominant seventh harmony and its myriad of potential upper
structure alterations and configurations and voicings. As artistic strength is gained with
these resources, the necessity of always outlining the entire arpeggio to clarify the
upper partials is gradually reduced, freeing up the player to
potentially create melodic and harmonic lines that encompass a wider range of
"colortone colors", while reducing the dictating force of their usage, i.e.,
tonal gravity. Thus, a potentially "freer" and more colorful aural and tonal
palette to create from. This level of understanding and execution, whether cognitive or
intuitive, is generally indicative of a thorough grasp of the tonal resources provided by
the equal tempered system. Depending on your artistic goals, this "level" can
become a very cool place to hang out. One aspect of this artistic freedom I term tonality without a tritone, check it
out if you are curious. With this in mind, here are links to the other arpeggio
experiments and topics in this section.
The secret of success is
constancy to purpose. Benjamin Disraeli