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Dodecatonic (12-note)
Scale |
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Only one 12-note scale
exists without using microtones. All modal shifts would just be copies of
itself. |
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The chromatic could be
analyzed a number of different ways enharmonically. Here they retain
similarities with an eleven-note reference scale. Patterns are preserved
rather than distilling down to the simplest form. |
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These all all just
different spellings of the same scale starting on different notes. |
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!Save
name |
Scale Name |
Formula (Enharmonic) |
Pitch Class |
IanRing |
# |
of Mode |
Triad |
Seventh |
Ninth |
Eleventh |
Thirteenth |
"Fifteenth" (Thirteenth with added note) |
"Seventeenth" (Thirteenth, two added notes) |
"Nineteenth" (Thirteenth, three added notes) |
"Twentyfirst"" (Thirteenth, four added notes) |
"Twentythird"" (Thirteenth, five added notes) |
Enharmonic Spelling C |
Enharmonic Spelling G |
Enharmonic Spelling D |
Enharmonic Spelling A |
Enharmonic Spelling E |
Enharmonic Spelling B |
Enharmonic Spelling F# |
Enharmonic Spelling C# |
Enharmonic Spelling F |
Enharmonic Spelling Bb |
Enharmonic Spelling Eb |
Enharmonic Spelling Ab |
Enharmonic Spelling Db |
Enharmonic Spelling Gb |
Enharmonic Spelling Cb |
Similar 11-note scale |
12_1_1_1_Chromatic |
Chromatic |
R,b2,2,b3,3,4,b5,5,b6,6,b7,7 |
{0,1,2,3,4,5,6,7,8,9,10,11} |
Analysis |
1 |
Chromatic |
add9(no 5) |
b5add9 |
b5add9addb9 |
b5add9addb9add#9 |
b5add9addb9add#9add11 |
b5add9addb9add#9add11addb13 |
add9addb9add#9add11add#11addb13 |
add9addb9add#9add11add#11add13addb13 |
13addb9add#9add#11addb13 |
Maj13addb9add#9add#11addb13add#13 |
C,Db,D,Eb,E,F,Gb,G,Ab,A,Bb,B |
G,Ab,A,Bb,B,C,Db,Ebb,Fbb,Fb,F,F# |
D,Eb,E,F,F#,G,Ab,Bbb,Cbb,Cb,C,C# |
A,Bb,B,C,C#,D,Eb,Fb,Gbb,Gb,G,G# |
E,F,F#,G,G#,A,Bb,Cb,Dbb,Db,D,D# |
B,C,C#,D,D#,E,F,F#,Abb,Ab,A,A# |
F#,G,G#,A,A#,B,C,C#,Ebb,Eb,E,E# |
C#,D,D#,E,E#,F#,G,G#,Bbb,Bb,B,B# |
F,Gb,G,Ab,A,Bb,Cb,Dbb,Db,Ebb,Eb,E |
Bb,Cb,C,Db,D,Eb,Fb,Gbb,Gb,Abb,Ab,A |
Eb,Fb,F,Gb,G,Ab,Bbb,Cbb,Cb,Dbb,Db,D |
Ab,Bbb,Bb,Cb,C,Db,Ebb,Fbb,Fb,Gbb,Gb,G |
Db,Ebb,Eb,Fb,F,Gb,Abb,Ab,Bbb,Cbb,Cb,C |
Gb,Abb,Ab,Bbb,Bb,Cb,Dbb,Db,Ebb,Fbb,Fb,F |
Cb,Dbb,Db,Ebb,Eb,Fb,Gbb,Gb,Abb,Ab,Bbb,Bb |
Undecatonic
Chromatic |
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Fragments of the Chromatic scale |
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11_1_1_01_Undecatonic_Chromatic |
Undecatonic
Chromatic |
R,b2,2,b3,3,4,b5,5,b6,6,b7 |
{0,1,2,3,4,5,6,7,8,9,10} |
Analysis |
1 |
Undecatonic
Chromatic |
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11_1_1_02_Undecatonic_Chromatic_2 |
Undecatonic
Chromatic 2 |
R,b2,2,b3,3,4,b5,5,b6,6,7 |
{0,1,2,3,4,5,6,7,8,9,11} |
Analysis |
2 |
Undecatonic
Chromatic |
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11_1_1_03_Undecatonic_Chromatic_3 |
Undecatonic
Chromatic 3 |
R,b2,2,b3,3,4,b5,5,b6,b7,7 |
{0,1,2,3,4,5,6,7,8,10,11} |
Analysis |
3 |
Undecatonic
Chromatic |
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11_1_1_04_Undecatonic_Chromatic_4 |
Undecatonic
Chromatic 4 |
R,b2,2,b3,3,4,b5,5,6,b7,7 |
{0,1,2,3,4,5,6,7,9,10,11} |
Analysis |
4 |
Undecatonic
Chromatic |
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11_1_1_05_Undecatonic_Chromatic_5 |
Undecatonic
Chromatic 5 |
R,b2,2,b3,3,4,b5,b6,6,b7,7 |
{0,1,2,3,4,5,6,8,9,10,11} |
Analysis |
5 |
Undecatonic
Chromatic |
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11_1_1_06_Undecatonic_Chromatic_6 |
Undecatonic
Chromatic 6 |
R,b2,2,b3,3,4,5,b6,6,b7,7 |
{0,1,2,3,4,5,7,8,9,10,11} |
Analysis |
6 |
Undecatonic
Chromatic |
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11_1_1_07_Undecatonic_Chromatic_7 |
Undecatonic
Chromatic 7 |
R,b2,2,b3,3,b5,5,b6,6,b7,7 |
{0,1,2,3,4,6,7,8,9,10,11} |
Analysis |
7 |
Undecatonic
Chromatic |
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11_1_1_08_Undecatonic_Chromatic_8 |
Undecatonic
Chromatic 8 |
R,b2,2,b3,4,b5,5,b6,6,b7,7 |
{0,1,2,3,5,6,7,8,9,10,11} |
Analysis |
8 |
Undecatonic
Chromatic |
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11_1_1_09_Undecatonic_Chromatic_9 |
Undecatonic
Chromatic 9 |
R,b2,2,3,4,b5,5,b6,6,b7,7 |
{0,1,2,4,5,6,7,8,9,10,11} |
Analysis |
9 |
Undecatonic
Chromatic |
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11_1_1_10_Undecatonic_Chromatic_10 |
Undecatonic
Chromatic 10 |
R,b2,b3,3,4,b5,5,b6,6,b7,7 |
{0,1,3,4,5,6,7,8,9,10,11} |
Analysis |
10 |
Undecatonic
Chromatic |
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11_1_1_11_Undecatonic_Chromatic_Descending |
Undecatonic
Chromatic Descending |
R,2,b3,3,4,b5,5,b6,6,b7,7 |
{0,2,3,4,5,6,7,8,9,10,11} |
Analysis |
11 |
Undecatonic
Chromatic |
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10_9_1_1_Decatonic_Chromatic |
Decatonic Chromatic |
R,b2,2,b3,3,4,b5,5,b6,6 |
{0,1,2,3,4,5,6,7,8,9} |
Analysis |
1 |
Decatonic Chromatic |
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10_9_1_2_Decatonic_Chromatic_2 |
Decatonic Chromatic
2 |
R,b2,2,b3,3,4,b5,5,b6,7 |
{0,1,2,3,4,5,6,7,8,11} |
Analysis |
2 |
Decatonic Chromatic |
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10_9_1_3_Decatonic_Chromatic_3 |
Decatonic Chromatic
3 |
R,b2,2,b3,3,4,b5,5,b7,7 |
{0,1,2,3,4,5,6,7,10,11} |
Analysis |
3 |
Decatonic Chromatic |
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10_9_1_4_Decatonic_Chromatic_4 |
Decatonic Chromatic
4 |
R,b2,2,b3,3,4,b5,6,b7,7 |
{0,1,2,3,4,5,6,9,10,11} |
Analysis |
4 |
Decatonic Chromatic |
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10_9_1_5_Decatonic_Chromatic_5 |
Decatonic Chromatic
5 |
R,b2,2,b3,3,4,b6,6,b7,7 |
{0,1,2,3,4,5,8,9,10,11} |
Analysis |
5 |
Decatonic Chromatic |
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10_9_1_6_Decatonic_Chromatic_6 |
Decatonic Chromatic
6 |
R,b2,2,b3,3,5,b6,6,b7,7 |
{0,1,2,3,4,7,8,9,10,11} |
Analysis |
6 |
Decatonic Chromatic |
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10_9_1_7_Decatonic_Chromatic_7 |
Decatonic Chromatic
7 |
R,b2,2,b3,b5,5,b6,6,b7,7 |
{0,1,2,3,6,7,8,9,10,11} |
Analysis |
7 |
Decatonic Chromatic |
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10_9_1_8_Decatonic_Chromatic_8 |
Decatonic Chromatic
8 |
R,b2,2,4,b5,5,b6,6,b7,7 |
{0,1,2,5,6,7,8,9,10,11} |
Analysis |
8 |
Decatonic Chromatic |
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10_9_1_9_Decatonic_Chromatic_9 |
Decatonic Chromatic
9 |
R,b2,3,4,b5,5,b6,6,b7,7 |
{0,1,4,5,6,7,8,9,10,11} |
Analysis |
9 |
Decatonic Chromatic |
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10_9_1_ten_Decatonic_Chromatic_Descending |
Decatonic Chromatic
Descending |
R,#2,3,3,4,b5,b6,6,b7,7 |
{0,3,4,5,6,7,8,9,10,11} |
Analysis |
10 |
Decatonic Chromatic |
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8_9_1_1_Nonatonic_Chromatic |
Nonatonic Chromatic |
R,b2,2,b3,3,4,b5,5,b6 |
{0,1,2,3,4,5,6,7,8} |
Analysis |
1 |
Nonatonic Chromatic |
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8_9_1_2_Nonatonic_Chromatic_2 |
Nonatonic Chromatic
2 |
R,b2,2,b3,3,4,b5,5,7 |
{0,1,2,3,4,5,6,7,11} |
Analysis |
2 |
Nonatonic Chromatic |
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8_9_1_3_Nonatonic_Chromatic_3 |
Nonatonic Chromatic
3 |
R,b2,2,b3,3,4,b5,b7,7 |
{0,1,2,3,4,5,6,10,11} |
Analysis |
3 |
Nonatonic Chromatic |
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8_9_1_4_Nonatonic_Chromatic_4 |
Nonatonic Chromatic
4 |
R,b2,2,b3,3,4,6,b7,7 |
{0,1,2,3,4,5,9,10,11} |
Analysis |
4 |
Nonatonic Chromatic |
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8_9_1_5_Nonatonic_Chromatic_5 |
Nonatonic Chromatic
5 |
R,b2,2,b3,3,b6,6,b7,7 |
{0,1,2,3,4,8,9,10,11} |
Analysis |
5 |
Nonatonic Chromatic |
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8_9_1_6_Nonatonic_Chromatic_6 |
Nonatonic Chromatic
6 |
R,b2,2,b3,5,b6,6,b7,7 |
{0,1,2,3,7,8,9,10,11} |
Analysis |
6 |
Nonatonic Chromatic |
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8_9_1_7_Nonatonic_Chromatic_7 |
Nonatonic Chromatic
7 |
R,b2,2,#4,5,b6,6,b7,7 |
{0,1,2,6,7,8,9,10,11} |
Analysis |
7 |
Nonatonic Chromatic |
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8_9_1_8_Nonatonic_Chromatic_8 |
Nonatonic Chromatic
8 |
R,b2,#3,#4,5,b6,6,b7,7 |
{0,1,5,6,7,8,9,10,11} |
Analysis |
8 |
Nonatonic Chromatic |
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8_9_1_9_Nonatonic_Chromatic_Descending |
Nonatonic Chromatic
Descending |
R,x2,#3,#4,5,b6,6,b7,7 |
{0,4,5,6,7,8,9,10,11} |
Analysis |
9 |
Nonatonic Chromatic |
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8_9_1_1_Octatonic_Chromatic |
Octatonic Chromatic |
R,b2,bb3,bb4,3b5,4b6,5b7,4b7 |
{0,1,2,3,4,5,6,7} |
Analysis |
1 |
Octatonic Chromatic |
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8_9_1_2_Octatonic_Chromatic_2 |
Octatonic Chromatic
2 |
R,b2,bb3,bb4,3b5,4b6,5b7,7 |
{0,1,2,3,4,5,6,11} |
Analysis |
2 |
Octatonic Chromatic |
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8_9_1_3_Octatonic_Chromatic_3 |
Octatonic Chromatic
3 |
R,b2,bb3,bb4,3b5,4b6,b7,7 |
{0,1,2,3,4,5,10,11} |
Analysis |
3 |
Octatonic Chromatic |
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8_9_1_4_Octatonic_Chromatic_4 |
Octatonic Chromatic
4 |
R,b2,bb3,bb4,3b5,6,b7,7 |
{0,1,2,3,4,9,10,11} |
Analysis |
4 |
Octatonic Chromatic |
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8_9_1_5_Octatonic_Chromatic_5 |
Octatonic Chromatic
5 |
R,b2,bb3,bb4,#5,6,b7,7 |
{0,1,2,3,8,9,10,11} |
Analysis |
5 |
Octatonic Chromatic |
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8_9_1_6_Octatonic_Chromatic_6 |
Octatonic Chromatic
6 |
R,b2,bb3,x4,#5,6,b7,7 |
{0,1,2,7,8,9,10,11} |
Analysis |
6 |
Octatonic Chromatic |
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8_9_1_7_Octatonic_Chromatic_7 |
Octatonic Chromatic
7 |
R,b2,x3,x4,#5,6,b7,7 |
{0,1,6,7,8,9,10,11} |
Analysis |
7 |
Octatonic Chromatic |
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8_9_1_8_Octatonic_Chromatic_Descending |
Octatonic Chromatic
Descending |
R,3#2,x3,x4,#5,6,b7,7 |
{0,5,6,7,8,9,10,11} |
Analysis |
8 |
Octatonic Chromatic |
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7_8_7_1_Heptatonic_Chromatic |
Heptatonic
Chromatic |
R,b2,bb3,bb4,3b5,4b6,5b7 |
{0,1,2,3,4,5,6} |
Analysis |
1 |
Heptatonic
Chromatic |
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7_8_7_2_Heptatonic_Chromatic_2 |
Heptatonic
Chromatic 2 |
R,b2,bb3,bb4,3b5,4b6,7 |
{0,1,2,3,4,5,11} |
Analysis |
2 |
Heptatonic
Chromatic |
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7_8_7_3_Heptatonic_Chromatic_3 |
Heptatonic
Chromatic 3 |
R,b2,bb3,bb4,3b5,#6,7 |
{0,1,2,3,4,10,11} |
Analysis |
3 |
Heptatonic
Chromatic |
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7_8_7_4_Heptatonic_Chromatic_4 |
Heptatonic
Chromatic 4 |
R,b2,bb3,bb4,x5,#6,7 |
{0,1,2,3,9,10,11} |
Analysis |
4 |
Heptatonic
Chromatic |
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7_8_7_5_Heptatonic_Chromatic_5 |
Heptatonic
Chromatic 5 |
R,b2,bb3,#x4,x5,#6,7 |
{0,1,2,8,9,10,11} |
Analysis |
5 |
Heptatonic
Chromatic |
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7_8_7_6_Heptatonic_Chromatic_6 |
Heptatonic
Chromatic 6 |
R,b2,#x3,#x4,x5,#6,7 |
{0,1,7,8,9,10,11} |
Analysis |
6 |
Heptatonic
Chromatic |
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7_8_7_7_Heptatonic_Chromatic_Descending |
Heptatonic
Chromatic Descending |
R,xx2,#x3,#x4,x5,#6,7 |
{0,6,7,8,9,10,11} |
Analysis |
7 |
Heptatonic
Chromatic |
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6_9_1_1_Hexatonic_Chromatic |
Hexatonic Chromatic |
R,b2,bb3,b3,b4,bb5 |
{0,1,2,3,4,5} |
Analysis |
1 |
Hexatonic Chromatic |
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6_9_1_2_Hexatonic_Chromatic_2 |
Hexatonic Chromatic
2 |
R,b2,bb3,b3,b4,7 |
{0,1,2,3,4,11} |
Analysis |
2 |
Hexatonic Chromatic |
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6_9_1_3_Hexatonic_Chromatic_3 |
Hexatonic Chromatic
3 |
R,b2,bb3,b3,#6,7 |
{0,1,2,3,10,11} |
Analysis |
3 |
Hexatonic Chromatic |
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6_9_1_4_Hexatonic_Chromatic_4 |
Hexatonic Chromatic
4 |
R,b2,bb3,6,#6,7 |
{0,1,2,9,10,11} |
Analysis |
4 |
Hexatonic Chromatic |
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6_9_1_5_Hexatonic_Chromatic_5 |
Hexatonic Chromatic
5 |
R,b2,#5,6,#6,7 |
{0,1,8,9,10,11} |
Analysis |
5 |
Hexatonic Chromatic |
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6_9_1_6_Hexatonic_Chromatic_Descending |
Hexatonic Chromatic
Descending |
R,5,b6,bb7,#6,7 |
{0,7,8,9,10,11} |
Analysis |
6 |
Hexatonic Chromatic |
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5_9_1_1_madd9addb9_no_5 |
Pentatonic Chromatic |
R,b2,bb3,b3,b4 |
{0,1,2,3,4} |
Analysis |
1 |
Pentatonic Chromatic |
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5_9_1_2_mMaj7b9saddSharp9_no_5 |
Pentatonic
Chromatic 2 |
R,b2,bb3,b3,7 |
{0,1,2,3,11} |
Analysis |
2 |
Pentatonic Chromatic |
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5_9_1_3_Maj7sus2addb9addSharp13_no_5 |
Pentatonic
Chromatic 3 |
R,b2,bb3,#6,7 |
{0,1,2,10,11} |
Analysis |
3 |
Pentatonic Chromatic |
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5_9_1_4_Maj7b9sus6addSharp13_no_3 |
Pentatonic
Chromatic 4 |
R,b2,6,b7,7 |
{0,1,9,10,11} |
Analysis |
4 |
Pentatonic Chromatic |
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5_9_1_5_Maj7Sharp5addSharp13_no_3 |
Pentatonic
Chromatic Descending |
R,b6,6,b7,7 |
{0,8,9,10,11} |
Analysis |
5 |
Pentatonic Chromatic |
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4_9_1_3_madd9addb9_no_5 |
Tetratonic Chromatic |
R,3b3,5b5,7b7 |
{0,1,2,3} |
Analysis |
3 |
Maj7susb2sus#6 |
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4_9_1_4_Maj7b9sus2_no_5 |
Tetratonic Chromatic 2 |
R,3b3,5b5,7 |
{0,1,2,11} |
Analysis |
4 |
Maj7susb2sus#6 |
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4_9_1_1_Maj7susb2susSharp6 |
Tetratonic
Chromatic 3 |
R,3b3,3#5,7 |
{0,1,10,11} |
Analysis |
1 |
Maj7susb2sus#6 |
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4_9_1_2_Maj7sus6addSharp13_no_3 |
Tetratonic
Chromatic Descending |
R,x3,3#5,7 |
{0,9,10,11} |
Analysis |
2 |
Maj7susb2sus#6 |
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3_9_1_1_sus2addb9_no_5 |
Tritonic Chromatic |
R,3b3,5b5 |
{0,1,2} |
Analysis |
1 |
Tritonic Chromatic |
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3_9_1_2_Maj7b9_no_3_no_5 |
Tritonic Chromatic |
R,3b3,4#5 |
{0,1,11} |
Analysis |
2 |
Tritonic Chromatic |
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3_9_1_3_Maj7addSharp_13_no3_no_5 |
Tritonic Chromatic |
R,6#3,4#5 |
{0,10,11} |
Analysis |
3 |
Tritonic Chromatic |
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2_1_5_2_m2 |
Duotonic Chromatic |
R,b2 |
{0,1} |
Analysis |
2 |
Duotonic Chromatic |
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2_1_5_1_M7 |
Duotonic Chromatic Descending |
R,7 |
{0,11} |
Analysis |
1 |
Duotonic Chromatic |
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1_1_1_1_Unison |
Unison |
R |
{0} |
Analysis |
1 |
Unison |
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Modal groupings after the
first few traditional groups are an organizational structure created by
Richard Repp extrapolated from avaiable data sources. |
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Chord analysis is by
Richard Repp and may contain mistakes (Please let me know!). Alternate
legitimate enharmonic analysis is also possible. |
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This project would not
have been possible without the following most excellent resources: |
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The Exciting
Universe Of Music Theory |
by Ian Ring |
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All The Scales |
by William Zeitler |
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© Richard Repp 2019 All Rights Reserved |
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