minor colortones
Chart # 2.
Creating the core arpeggio based in D minor using the minor third / major third cycle of
pitches within the consistent intonation of equal
temper, looping at 24 pitches, thus twice through the chromatic looping of pitches. Example
1.
| up a |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major
3rd |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
continuing upward...
| up a |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major
3rd |
| C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
continuing upward...
| up a |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major 3rd |
minor 3rd |
major
3rd |
| C |
Eb |
G |
Bb |
D |
F |
A |
|
|
|
|
Here is the sound of the above
pitches. Example 1a.

Here is the sequence of pitches
created by the intervalic motion of minor 3rd / major 3rd taken from the arpeggio in
example 1 above. And although only presented in one occurrence below due to space
limitations, try to think of it as a continuum of pitches. Example 1b.
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
Notice the motion by perfect fifth
between every other pitch, creating the cycle
of fifths.
| D |
A |
E |
B |
F# |
C# |
Ab |
Eb |
Bb |
F |
C |
G |
D... |
Running the core arpeggio group of
pitches through the triad filter. Example 2.
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
Ran out of space at the end, sorry, software
limitations. The triads emerge. Note the minor / major cycling in their quality. Here is
the sound of the above 24 triads. Example 2a.

Creating four note groups brings forth the 7th
chord. Example 3.
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
These 24 alternating minor / major
7th chords find their way onto the tonal convergence chart
#6. Here is the sound of the above sequencing of seventh chords. Example 3a.

By looping this group seven times and then
extracting groups of 7 pitches, each of the 12 minor and 12 major key centers emerge. The
following chart again uses 5 different colors to help separate the scales and reads left to right, top to bottom. Example
4.
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
A# |
C# |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
A# |
C# |
E# |
G# |
C |
Eb |
G |
Bb |
| D |
F |
A |
C |
E |
G |
B |
D |
F# |
A |
C# |
E |
G# |
B |
D# |
F# |
Bb |
Db |
F |
Ab |
C |
Eb |
G |
Bb |
Extracting the groups of seven pitches, creating the
12 Dorian minor and 12 Lydian major
scales, we again create the major / minor sequencing. Here we weave the tonalities
together as the occur on the chart. Example 4a.

Could we reverse the direction
of the evolving tonal centers, or move backwards? C to B etc? Of course, but you knew that
right? Chart 1a. Here are the above scale pitches written
out by letter names. Example 4c.
| C Lydian |
C |
D |
E |
F# |
G |
A |
B |
| C# Dorian |
C# |
D# |
E |
F# |
G# |
A# |
B |
| Db Lydian |
Db |
Eb |
F |
G |
Ab |
Bb |
C |
| D Dorian |
D |
E |
F |
G |
A |
B |
C |
| D Lydian |
D |
E |
F# |
G# |
A |
B |
C# |
| Eb Dorian |
Eb |
F |
Gb |
Ab |
Bb |
C |
Db |
| Eb Lydian |
Eb |
F |
G |
A |
Bb |
C |
D |
| E Dorian |
E |
F# |
G |
A |
B |
C# |
D |
| E Lydian |
E |
F# |
G# |
A# |
B |
C# |
D# |
| F Dorian |
F |
G |
A |
Bb |
C |
D |
Eb |
| F Lydian |
F |
G |
A |
B |
C |
D |
E |
| F# Dorian |
F# |
G# |
A |
B |
C# |
D# |
E |
| Gb Lydian |
Gb |
Ab |
Bb |
C |
Db |
Eb |
F |
| G Dorian |
G |
A |
Bb |
C |
D |
E |
F |
| G Lydian |
G |
A |
B |
C# |
D |
E |
F# |
| Ab Dorian |
Ab |
Bb |
Cb |
Db |
Eb |
F |
Gb |
| Ab Lydian |
Ab |
Bb |
C |
D |
Eb |
F |
G |
| A Dorian |
A |
B |
C |
D |
E |
F# |
G |
| A Lydian |
A |
B |
C# |
D |
E |
F# |
G# |
| Bb Dorian |
Bb |
C |
Db |
Eb |
F |
G |
Ab |
| Bb Lydian |
Bb |
C |
D |
E |
F |
G |
A |
| B Dorian |
B |
C# |
D |
E |
F# |
G# |
A |
| B Lydian |
B |
C# |
D# |
E# |
F# |
G# |
A# |
| C Dorian |
C |
D |
Eb |
F |
G |
A |
Bb |
Well, perhaps it is like comparing the resource
potential associated with our brains? Out of the total resource of my personnel hard
drive, my average i.q. is supposed to mean that I am using about 10 to 15% of what's
available. So, same with my music? Out of 24 key centers, if I play a folk, blues or rock
tune, I'm generally going to hang in one key, or about 4% of the available resource. In
jazz tunes I like to play, visiting four or five key centers is not that uncommon,
although two or three keys is more the norm, so between 4 and 18% or so. So even with
visiting 5 key centers in one song, that still leaves 19 tonal destinations or about 80%
of the resource untouched? Exactly.
Music is your own experience,
your own thoughts, your wisdom. If you don't live it, it won't come out of your horn. They
teach you there's a boundary line to music. But, man, there's no boundary line to art.
Charlie Parker