dominant colortones

Chart # 3. Creating the core arpeggio based on G 7, within the consistent intonation of equal temper, looping at 24 pitches to include each pitch twice. Example 1.

up a major 3rd minor 3rd minor 3rd major 3rd major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd
G B D F A C# E G# B D# F#

continuing upward...

up a major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd
F# A# C# F Ab C Eb G Bb D F

continuing upward...

up a major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd major 3rd minor 3rd
F A C E G B D...        

Here is the sound of the above pitches. Example 1a.

domover1.TIF (14428 bytes)

Extracting the dominant arpeggio core and highlighting the pitches that create the convergence area from within the entire arpeggio. Example 1b.

G B D F A C# E G# B D# F# Bb Db F Ab C Eb G Bb D F A C E

Interesting that the disruption within the major / minor third cycle created by the minor 7th pitch F natural is "corrected" as we move up into the arpeggio. Compare the three cores of One / Two and Five chord types. Here we highlight the pitches of a 7th chord from the root G, the dominant or 5th degree of C. Example 1c.

C E G B D F# A C# E G# B D# F# Bb Db F Ab C Eb G Bb D F A
D F A C E G B D F# A C# E G# B D# F# Bb Db F Ab C Eb G Bb
G B D F A C# E G# B D# F# Bb Db F Ab C Eb G Bb D F A C E

Again the idea that the consistent cycling of major and minor 3rd's is "broken" only to accommodate the minor 7th / tritone of the dominant chord coloring, F# lowered to F natural.

Running the dominant core arpeggio group of pitches through the triad filter, reading gradually down and to the right, following the different colored three note groupings. Example 2.

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# 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# 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

Ran out of space at the end, sorry, software limitations. E G B are the pitches. The triads emerge. Here is the sound of the above 24 triads. Example 2a.

domover2.TIF (6366 bytes)

Creating four note groups brings forth the 7th chord. The first 8 of which create the convergence chart. Example 3.

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 D F A C E

These 24 alternating major / minor 7th chords find their way onto the tonal convergence chart #6. Here is the sound of the above sequencing of seventh chords. Example 3a.

domover3.TIF (7028 bytes)

Trying to loop this group and extract groups of 7 pitches as with the One and Two chord types goes a bit goofy because of the tritone. Again, the initial area of the dominant core arpeggio with the tritone disrupts the major 3rd / minor 3rd cycle, so no clear cycling of scale colors. Example 4.

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# A# C# E# G# C Eb G Bb D F A C E
G B D F A C# E G# B D# F# A# Db F Ab C Eb G Bb D F A C E
G B D F A C# E G# B Eb Gb 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# Gb Bb Db F Ab C Eb G Bb D F A C E

Here is a chart of the scales that emerge from perfect repetition of the dominant arpeggio. Example 4a.

G Lydian b7 G A B C# D E F
G# Dorian G# A# B C# D# E# F#
Ab Lydian Ab Bb C D Eb F G
A Aeolian 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 b5 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
C Ionian 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 minor / major 7 #4 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 b2 / D melodic minor E F G A B C# D
E Lydian E F# G# A# B C# D#
F Dorian F G Ab Bb C D Eb
F Lydian F G A B C D E
F altered 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

Well, most of the diatonic modes of C major appear, although no Phrygian, Mixolydian or Locrian modes directly emerge, mostly Dorian and Lydian. The Ionian / major scale appears though, finally. And these missing modes could be diatonically created from within the Ionian mode yes? Here is the sound of the above chart. Example 4b.

domover4.TIF (35204 bytes)

Quite a colorful, dominant extravaganza eh? Here any coolness for your music?

tonic / One chord major 3rd / minor 3rd chart # 1
Two chord minor 3rd / major 3rd chart # 2
Five / dominant chord intervals chart # 3
overtone series results
chart # 4
chart # 5
chart # 6
profile of the experiment  
tonality without a tritone?  
polytonality  

Even if your on the right track, you'll get run over if you just sit there. Will Rogers