Tuesday, February 24, 2009

All-chords analysis

Interestingly, by the way, the set of all chords formable from the twelve Western tones, numbering almost 4096 (two to the twelfth power), collapses with the following method easily and automatically to the rather small size of 351 chords (see below).

Symbol key:
#: sharp
( ): alternative
,: and
-: visual spacing
=: same chord (collapsing transpositions and inversions)
aug: augmented
b: flat
d: diminished
d6: diminished, sixth chord
I: major chord
i: minor or diminished chord
s: suspension
x: without

Symbols for intervals from the root (in the list always G) in chord names, but not in normalized notation:

1,2,3,(4,5,6,7),9,11,13: unison, second, third, (fourth, fifth, sixth, seventh), ninth, eleventh, thirteenth

maj, min: major, minor

The default (i.e., without 'maj' or 'min') is the interval from G as found in the (blank) key signature of C major, because when C is the tonic, G chords are very prevalent. Thus sometimes we might need 'min2', 'min6', 'maj7', 'min9', 'maj11', or 'min13'. Minor thirds and augmented fourths (or diminished fifths) are respectively written as (Roman numerals in) lower case as well as 'd' for 'diminished'. Often ninths and elevenths are written 's2', 'smin2' or 's4'.

To name chords without suspensions:

Each chord has a root; otherwise, it could then be written as another chord. Here are the options for each variable, which is an interval upward from the root:
2 min2
3 min3 x3 null
4 maj4
5 min5 x5 null
6 min6
7 maj7 x7 null
9 min9 x9 null
10 min10
11 maj11 x11 null
12 min12
13 min13

Above, '-' indicates that the apparent option is unnecessary. Also, some variable options are implied: for any variable, N greater than the highest mentioned, 'null' means 'xN', otherwise it means 'N'. E.g., the name, i9 implies 7, but also x11.

What about diminished chords? This is answered by min5, but what about id6? It is min3-min5-x7-x9-x11-13 or id13x7,9,11.

It is simpler to say that all chords are 13th chords with various notes x'd out. Then, we would need x13 as well.
The computer program might display only the normalized notation.

For each root, the total number of combinations (outside of silence), the number of unique chord names, would be 3x3x3x3x2x3 (?) = 2 x 3^5 = 486. However, many of these are duplicates of chords with different roots.

An attempt has been made to select the chord names of the more beautiful -sounding inversions. For chord names with suspensions, to sound beautiful, some suspensions are in the bass, e.g., 0,1,7 - idx3s5.

Here are the number of chords for different numbers of tones evenly distributed in the octave:


note-space-size chord-space-size
1 1
2 2
3 3
4 5
5 7
6 13
7 19
8 35
9 59
10 107
11 187
12 351
13 631
14 1181
15 2191
16 4115
17 7711
18 14601
19 27595
20 52487

Next are the 351 transposition- and inversion-collapsed chords formable from the twelve Western tones.

The total number of whole-tone scale chords is 13; the Agnus Dei has 7.

Use maj11 instead of aug11; dim11 is okay; min5 instead of dim5. Change I...smin3 (except aug) to i...s3. Rooting all numbers covers pedal tones. Change all 'good's' into chords. Use 'Id' instead of 'idx3s3'?

M=Agnus Dei chord, P=polytonal, W=whole tone scale chord, H=harmonic series, S=symmetrical

normalized-notation - standard-name [(nonstandard-names)] - spelling [(nonstandard-spelling)] [ - (good: good-sounding spelling)]
0 - ix3,5 - M (H) - (WS)

0,6 - idx3 - M - (WS)

0,5 - ix3 - M (H)

0,4 - Ix5 - M (H) - (W)

0,4,8 - 0-Iaug (=0-G B D#) - (WS good: G D# B)

0,3 - ix5 - M (H)

0,3,8 - i - M

0,3,7 - I - M

0,3,6 - id - M

0,3,6,9 - id6 - M - (S)

0,2 - i7x3,5 - M - (W)

0,2,9 - i7x5 - M

0,2,8 - I7x5 - M - (W)

0,2,7 - ix3s4 - M

0,2,6 - id7x3 - M - (W)

0,2,6,9 - id7 - M

0,2,6,8 - 0-Imaj11x5,9 2-idmin13x3,7,11 (=0-G B F C# =2-G Db 0-A Eb) - (WS good: G Eb A Db)

0,2,5 - i7x3 - M

0,2,5,9 - i7 - M

0,2,5,8 - I7 - M (H)

0,2,5,7 - i7x3s4 - M

0,2,4 - 0-iaug7x3 2-i9x3,5 4-I9x5,7 (=0-G D# F =2-G F 0-A =4-G 0-B A) - (W good: F G D#)

0,2,4,9 - I9x7 - M

0,2,4,8 - Iaug7 - M - (W)

0,2,4,7 - 0-i7min13x3,5,9 2-i9x3 4-I13x5,7,11 7-i11x7,9 (=0-G F C Eb =2-G D F 0-A =4-G 0-B A E =7-G Bb 0-D C)

0,2,4,7,9 - 0-imin13x5,9 2-i11x3 4-I13x7,11 4-I96x7 7-i11x9 9-i13x3,7 (=0-G Bb F C Eb =2-G D F 0-A C =4-G 0-B D A E =4-G 0-B D E A =7-G Bb 0-D F C =9-G D A C 0-E)

0,2,4,6 - 0-idmin13x3,9,11 2-imin13x3,5,11 4-I9x5 6-Imaj11x5,7 (=0-G Db F Eb =2-G F 0-A Eb =4-G 0-B F A =6-G B A 0-C#) - (W good: G A B F)

0,2,4,6,9 - 0-idmin13x9,11 2-imin13x3,5 4-I9 6-Imaj1113x5,7 9-i13x7,9 (=0-G Bb Db F Eb =2-G F 0-A C Eb =4-G 0-B D F A =6-G B A C# E =9-G Bb D C 0-E)

0,2,4,6,8 - 0-idmin13x3,9,11s3 2-idmin13x3,11 4-Iaug9 6-Imaj11x5 8-idmin13x3,7,11s3 (=0-G B Db F Eb =2-G Db F A Eb =4-G 0-B D# F A =6-G B F A C# =8-G B Db A 0-Eb)

0,2,4,6,8,10 - 0-Iaug7maj11 (=0-G B D# F A C#) - (WS 'full whole tone scale' good: G B D# A C# F)

0,1 - 0-imaj7x3,5 1-imin9x3,5,7 (=0-G F# =1-G 0-Ab)

0,1,10 - 0-imaj79x3,5 1-imin9x5,7 10-id67x3,5 (=0-G F# A =1-G Bb 0-Ab =10-G E 0-F) - (good: F G E)

0,1,9 - 0-imaj7x5 1-Imin9x5,7 9-iaug13x3,7,9,11 (=0-G Bb F# =1-G B 0-Ab =9-G D# 0-E) - (good: G F# Bb)

0,1,8 - Imaj7x5 - M

0,1,8,10 - Imaj79x5 - M

0,1,7 - idx3s5 - M

0,1,7,10 - 0-imaj711x3,5 1-idmin9x7 7-imaj1113x3,7,9 10-id67x5 (=0-G F# A C =1-G Bb Db 0-Ab =7-G 0-D C# E =10-G Bb E 0-F) - (good: G E Bb F, F G Bb E, G Bb F E, F E Bb G)

0,1,7,9 - 0-imaj7x5s4 0-imaj711x5,9 1-idmin9x3,7s3 7-imaj11x3,9 9-iaug13x3,7,11 (=0-G Bb C F# =0-G Bb F# C =1-G B Db 0-Ab =7-G 0-D F C# =9-G D# A 0-E) - (good: G C Bb F#)

0,1,6 - 0-idmaj7x3 1-imin9x3,7 6-id11x3,7,9 (=0-G Db F# =1-G D 0-Ab =6-G 0-Db C) - (good: G F# Db)

0,1,6,10 - imin9x7 - M

0,1,6,9 - 0-idmaj7 1-Imin9x7 6-id611x3,7,9 9-id6min13x5,7,9,11 (=0-G Bb Db F# =1-G B D 0-Ab =6-G 0-Db E C =9-G Bb E Eb) - (good: G F# Bb Db)

0,1,6,8 - 0-Imaj7maj11x5,9 1-imin911x3,7 6-id11x3,9 8-imin13x3,7,11 (=0-G B F# C# =1-G D 0-Ab C =6-G 0-Db F C =8-G D A 0-Eb) - (good: G C# F# B, F# B G C#, F# B C# G)

0,1,6,8,10 - 0-Imaj7maj11x5 1-imin911x7 6-idmin13x3,9 8-imin13x3,11 10-I13x5,11 (=0-G B F# A C# =1-G Bb D 0-Ab C =6-G 0-Db F C Eb =8-G D F A 0-Eb =10-G B 0-F A E) - (good: G Ab Bb C D)

0,1,6,7 - 0-idmaj711x3,9 1-imin9maj11x3,7 1-idmin9x3,7s5 (=0-G Db F# C =1-G D 0-Ab C# =1-G Db D 0-Ab) - (S good: C Db F# G, F# Db C G)

0,1,5 - 0-imaj7x3 1-imin9min13x3,5,7,11 5-I11x5,7,9 (=0-G D F# =1-G 0-Ab Eb =5-G B 0-C) - (good: D G F#)

0,1,5,10 - 0-imaj79x3 1-imin9min13x5,7,11 5-I11x7,9 10-i13x3,5,9 (=0-G D F# A =1-G Bb 0-Ab Eb =5-G B D 0-C =10-G 0-F C E)

0,1,5,9 - 0-imaj7 1-Iaugmin9x7 5-Iaug11x7,9 9-Iaug13x7,9,11 (=0-G Bb D F# =1-G B D# 0-Ab =5-G B D# 0-C =9-G B D# 0-E) - (good: G D F# Bb)

0,1,5,8 - Imaj7 - M

0,1,5,8,10 - 0-Imaj79 1-imin9min13x5,7 5-I13x7,9 8-imin13x9,11 10-i13x3,5 (=0-G B D F# A =1-G Bb 0-Ab C Eb =5-G B D 0-C E =8-G Bb D F 0-Eb =10-G 0-F A C E)

0,1,5,7 - 0-imaj711x3,9 1-idmin9min13x3,7,11 5-I7x5s4 5-I11x5,9 7-imaj11x3,7 (=0-G D F# C =1-G Db 0-Ab Eb =5-G B 0-C F =5-G B F 0-C =7-G 0-D A C#)

0,1,5,7,10 - 0-imaj711x3 1-idmin9min13x7,11 5-I11x9 5-I7s4 7-imaj1113x3,7 10-i13x5,9 (=0-G D F# A C =1-G Bb Db 0-Ab Eb =5-G B D F 0-C =5-G B 0-C D F =7-G 0-D A C# E =10-G Bb 0-F C E)

0,1,5,7,9 - 0-imaj711x9 0-imaj7s4 1-idmin9min13x3,7,11s3 5-Iaug711x9 5-Iaug7s4 7-imaj11x3 9-Iaug13x7,11 (=0-G Bb D F# C =0-G Bb C D F# =1-G B Db 0-Ab Eb =5-G B D# F 0-C =5-G B 0-C D# F =7-G 0-D F A C# =9-G B D# A 0-E)

0,1,5,6 - 0-imaj7maj11x3,9 1-imin9min13x3,7,11 5-Imaj7x5s4 6-idmin911x3,7 (=0-G D F# C# =1-G D 0-Ab Eb =5-G B 0-C F# =6-G 0-Db Ab C)

0,1,5,6,10 - 0-imaj7maj11x3 1-imin9min13x7,11 5-Imaj711x9 5-Imaj7s4 6-idmin9min13x3,7 10-I13x5,9 (=0-G D F# A C# =1-G Bb D 0-Ab Eb =5-G B D F# 0-C =5-G B 0-C D F# =6-G 0-Db Ab C Eb =10-G B 0-F C E)

0,1,4 - 0-iaugmaj7x3 1-imin913x3,5,7,11 4-ix5s3 (=0-G D# F# =1-G 0-Ab E =4-G Bb 0-B) - (good: F# D# G)

0,1,4,10 - 0-iaugmaj79x3 1-imin913x5,7,11 4-ids3 10-id67x3 (=0-G D# F# A =1-G Bb 0-Ab E =4-G Bb 0-B Db =10-G Db E 0-F)

0,1,4,9 - 0-imaj7min13x5,9,11 1-Imin913x5,7,11 4-is3 9-iaug13x3,7,9 (=0-G Bb F# Eb =1-G B 0-Ab E =4-G Bb 0-B D =9-G D# C 0-E)

0,1,4,8 - 0-Iaugmaj7 1-imin913x3,5,7 4-imin13x5,7,9,11s3 8-Imin13x7,9,11 (=0-G B D# F# =1-G 0-Ab C E =4-G Bb 0-B Eb =8-G B D 0-Eb) - (good: F# D# B G)

0,1,4,8,10 - 0-Iaugmaj79 1-imin913x5,7 4-idmin13x7,9,11s3 8-Imin13x9,11 10-imaj1113x3,5 (=0-G B D# F# A =1-G Bb 0-Ab C E =4-G Bb 0-B Db Eb =8-G B D F 0-Eb =10-G 0-F A C# E)

0,1,4,7 - ids5 - M

0,1,4,7,10 - id6min9x7 - M

0,1,4,7,9 - 0-imaj7min13x5,9 1-id6min9x3,7s3 4-is3,6 4-i13x7,9,11s3 7-id7s5 9-iaug13x3,7 (=0-G Bb F# C Eb =1-G B Db E 0-Ab =4-G Bb 0-B D E =4-G Bb 0-B D E =7-G Bb Db 0-D F =9-G D# A C 0-E)

0,1,4,7,8 - 0-Iaugmaj711x9 1-id6min911x3,7 4-Iaug13x7,9,11smin3 7-idmaj7s5 8-Imin9x7smin6 (=0-G B D# F# C =1-G Db E 0-Ab C =4-G Bb 0-B D# E =7-G Bb Db 0-D F# =8-G B D 0-Eb Ab)

0,1,4,6 - 0-iaugmaj7maj11x3,9 1-imin9x3,7s6 1-imin913x3,7,11 4-i7x5s3 6-id11x3,7 (=0-G D# F# C# =1-G D E 0-Ab =1-G D 0-Ab E =4-G Bb 0-B F =6-G 0-Db A C)

0,1,4,6,10 - 0-iaugmaj7maj11x3 1-imin9x7s6 4-id7s3 6-idmin13x3,7 10-Imaj1113x5,9 (=0-G D# F# A C# =1-G Bb D E 0-Ab =4-G Bb 0-B Db F =6-G 0-Db A C Eb =10-G B 0-F C# E)

0,1,4,6,9 - 0-idmaj7min13x9,11 1-Imin9x7s6 4-i7s3 6-id611x3,7 9-id6min13x5,7,9 (=0-G Bb Db F# Eb =1-G B D E 0-Ab =4-G Bb 0-B D F =6-G 0-Db E A C =9-G Bb 0-E C Eb)

0,1,4,6,8 - 0-Iaugmaj7maj11x9 1-imin913x3,7 4-Iaug7smin3 6-id11x3 8-Imin13x7,11 (=0-G B D# F# C# =1-G D 0-Ab C E =4-G Bb 0-B D# F =6-G 0-Db F A C =8-G B D A 0-Eb)

0,1,4,6,8,10 - 0-Iaugmaj7maj11 1-imin913x7 4-idmin13x9,11s3 4-Iaugmaj11x9smin3 6-idmin13x3 8-Imin13x11 10-Imaj1113x5 (=0-G B D# F# A C# =1-G Bb D 0-Ab C E =4-G Bb 0-B Db F Eb =4-G Bb 0-B D# F C# =6-G 0-Db F A C Eb =8-G B D F A 0-Eb =10-G B 0-F A C# E)

0,1,4,6,7 - 0-idmaj7min13x3,9 1-id6min9x3,7s5 4-id67x5s3 6-idmaj711x3 7-idmin9x7s5 (=0-G Db F# C Eb =1-G Db D E 0-Ab =4-G Bb 0-B E F =6-G 0-Db F# A C =7-G Bb Db 0-D Ab)

0,1,4,6,7,10 - 0-idmaj7min13x3 1-id6min9x7s5 4-id67s3 4-imaj1113x5,9s3 (=0-G Db F# A C Eb =1-G Bb Db D E 0-Ab =4-G Bb 0-B Db E F =4-G Bb 0-B F C# E) - (S good: D G Bb Db E Ab)

0,1,4,5 - 0-imaj7min13x3,9,11 1-iaugmin913x3,7,11 4-imaj7x5s3 5-Imin911x5,7 (=0-G D F# Eb =1-G D# 0-Ab E =4-G Bb 0-B F# =5-G B Ab 0-C) - (good: G Ab B C)

0,1,4,5,10 - 0-imaj7min13x3,11 1-id6min9min13x5,7,11 4-idmaj7s3 5-Imin911x7 10-id611x3,9 (=0-G D F# A Eb =1-G Bb E 0-Ab Eb =4-G Bb 0-B Db F# =5-G B D Ab 0-C =10-G Db E 0-F C) - (good: C Ab D G B)

0,1,4,5,9 - 0-imaj7min13x9,11 1-Iaugmin913x7,11 4-imaj7s3 5-Iaugmin911x7 9-Iaugmaj1113x7,9 (=0-G Bb D F# Eb =1-G B D# 0-Ab E =4-G Bb 0-B D F# =5-G B D# Ab 0-C =9-G B D# C 0-E)

0,1,4,5,8 - 0-Imaj7min13x9,11 0-Imaj7min13x3,9,11s10 1-imin9min13x3,5,7s6 4-Iaugmaj7smin3 5-Imin913x5,7 8-imin13x7,9,11s3 (=0-G B D F# Eb =0-G D F# B Eb =1-G E 0-Ab C Eb =4-G Bb 0-B D# F# =5-G B Ab 0-C E =8-G Bb B D 0-Eb)

0,1,4,5,8,10 - 0-Imaj7min13x11 1-id6min9min13x5,7 4-idmaj7min13x5,9,11s3 4-Iaugmaj7maj11x9smin3 5-Imin913x7 8-imin13x9,11s3 10-id611x3 (=0-G B D F# A Eb =1-G Bb E 0-Ab C Eb =4-G Bb 0-B Db F# Eb =4-G Bb 0-B D# F# C# =5-G B D Ab 0-C E =8-G Bb B D F Eb =10-G Db E 0-F A C)

0,1,4,5,8,9 - 0-imaj7min13x9,11s3 1-Iaugmin913x7 (=0-G Bb B D F# Eb =1-G B D# 0-Ab C E) - (S)

0,1,3 - 0-id6maj7x3,5 1-imin9x3,5 3-i9x5,7 (=0-G E F# =1-G F 0-Ab =3-G 0-Bb A) - (good: Ab G F)

0,1,3,10 - 0-imaj713x3,5,11 1-imin9x5 3-i11x5,7 10-i13x3,9,11 (=0-G F# A E =1-G Bb F 0-Ab =3-G 0-Bb A C =10-G D 0-F E)

0,1,3,9 - 0-id6maj7x5 1-Imin9x5 3-id9x7 9-id6min13x3,7,9,11 9-iaugmaj1113x3,7,9 (=0-G Bb E F# =1-G B F 0-Ab =3-G 0-Bb Db A =9-G Db 0-E Eb =9-G D# C# 0-E) - (good: G F B Ab, G F Ab B)

0,1,3,8 - 0-Imaj713x5,9,11 1-imin911x3,5 3-i9x7 8-imin13x3,7,9 (=0-G B F# E =1-G F 0-Ab C =3-G 0-Bb D A =8-G D C 0-Eb)

0,1,3,8,10 - 0-Imaj713x5,11 1-imin911x5 3-i11x7 8-imin13x3,9 10-i13x3,11 (=0-G B F# A E =1-G Bb F 0-Ab C =3-G 0-Bb D A C =8-G D F C 0-Eb 10-G D 0-F A E)

0,1,3,8,9 - 0-id6maj7s3 0-imaj713x5,9,11s3 1-Imin911x5 3-id9x7s5 3-imaj11x7 8-imaj7min13x3,9 9-id6min9min13x3,7,11 9-iaugmin9maj1113x3,7 (=0-G Bb B E F# =0-G Bb B F# E =1-G B F 0-Ab C =3-G 0-Bb Db D A =3-G 0-Bb D A C# =8-G D F# C 0-Eb =9-G Db 0-E Ab Eb =9-G D# Ab C# 0-E)

0,1,3,7 - 0-imaj713x3,5,9 1-idmin9x3 3-imin13x5,7,11 7-Imaj11x7,9 (=0-G F# C E =1-G Db F 0-Ab =3-G 0-Bb A Eb =7-G B 0-D C#)

0,1,3,7,10 - idmin9 - M

0,1,3,7,9 - 0-imaj713x5,9 1-idmin9x3s3 3-idmin13x7,11 7-Imaj11x9 9-iaugmaj1113x3,7 (=0-G Bb F# C E =1-G B Db F 0-Ab =3-G 0-Bb Db A Eb =7-G B 0-D F C# =9-G D# A C# 0-E) (good: G B C# D F)

0,1,3,7,8 - 0-Imaj713x5,9 1-idmin911x3 3-imin13x7,11 7-Imaj7maj11x9 8-imin9min13x3,7 (=0-G B F# C E =1-G Db F 0-Ab C =3-G 0-Bb D A Eb =7-G B 0-D F# C# =8-G D Ab C 0-Eb)

0,1,3,6 - imin9x3 - M

0,1,3,6,10 - imin9 - M

0,1,3,6,9 - 0-id6maj7 1-Imin9 3-id69 6-id611 9-id6min13 (=0-G Bb Db E F# =1-G B D F 0-Ab =3-G 0-Bb Db E A =6-G Bb 0-Db E C =9-G Bb Db 0-E Eb)

0,1,3,6,8 - 0-Imaj7maj1113x5,9 0-id6maj7x3s3 1-imin911x3 3-i13x7,11 6-id11x9 8-imin13x3,7 (=0-G B F# C# E =0-G B Db E F# =1-G D F 0-Ab C =3-G 0-Bb D A E =6-G Bb 0-Db F C =8-G D A C 0-Eb)

0,1,3,6,8,10 - 0-Imaj7maj1113x5 0-id6maj79x3s3 1-imin911 3-i13x7 6-idmin13x9 8-imin13x3 10-I13x11 (=0-G B F# A C# E =0-G B Db E F# A =1-G Bb D F 0-Ab C =3-G 0-Bb D A C E =6-G Bb 0-Db F C Eb =8-G D F A C 0-Eb =10-G B D 0-F A E)

0,1,3,6,8,9 - 0-imaj7maj1113x5,9s3 0-id6maj7s3 1-Imin911 3-imaj1113x7 6-id611x9 8-imaj7min13x3 9-id6min9min13x7,11 (=0-G Bb B F# C# E =0-G Bb B Db E F# =1-G B D F 0-Ab C =3-G 0-Bb D A C# E =6-G Bb 0-Db E F C =8-G D F# A C 0-Eb =9-G Bb Db 0-E Ab Eb)

0,1,3,6,7 - 0-id6maj711x3,9 1-imin9maj11x3 1-idmin9x3s5 3-iaug13x3,7,11smin3 6-idmaj711x9 7-Imin9maj11x7 (=0-G Db E F# C =1-G D F 0-Ab C# =1-G Db D F 0-Ab =3-G 0-Bb D# A E =6-G Bb 0-Db F# C =7-G B 0-D Ab C#)

0,1,3,6,7,10 - 0-id6maj711x3 1-idmin9s5 3-iaug13x3,7smin3 6-idmaj7min13x9 7-Imin9maj1113x7 7-id6min9x3s3,5,7 10-i13x9,11s3 (=0-G Db E F# A C =1-G Bb Db D F 0-Ab =3-G 0-Bb D# A C E =6-G Bb 0-Db F# C Eb =7-G B 0-D Ab C# E =7-G B Db 0-D E Ab =10-G Bb B D 0-F E)

0,1,3,6,7,9 - 0-id6maj711x3 1-Imin9maj11 3-id6min13x7,11 (=0-G Db E F# A C =1-G B D F 0-Ab C# =3-G 0-Bb Db E A Eb) - (S)

0,1,3,5 - i9x5 - M

0,1,3,5,10 - 0-imaj713x3,11 1-imin9min13x5,11 1-iaugmin9x3smin3 3-i11x5 5-I11x7 10-i13x3,9 (=0-G D F# A E =1-G Bb F 0-Ab Eb =1-G Bb D# F 0-Ab =3-G 0-Bb F A C =5-G B D A 0-C =10-G D 0-F C E)

0,1,3,5,9 - 0-imaj713x3,9,11 1-Iaugmin9 3-id9 5-Iaug11x7 9-Iaugmaj1113x7,9 (=0-G Bb D F# E =1-G B D# F 0-Ab =3-G 0-Bb Db F A =5-G B D# A 0-C =9-G B D# C# 0-E)

0,1,3,5,8 - 0-Imaj713x9,11 1-imin9min13x3,5 1-iaugmin911x3 3-i9 5-I13x5,7 8-imin13x7,9 (=0-G B D F# E =1-G F 0-Ab C Eb =1-G D# F 0-Ab C =3-G 0-Bb D F A =5-G B A 0-C E =8-G Bb D C 0-Eb) - (good: Bb G D F A, Bb F A D G, Bb D G A F)

0,1,3,5,8,10 - 0-Imaj713x11 1-imin9min13x5 1-iaugmin911x3smin3 3-i11 5-I13x7 8-imin13x9 10-i13x3 (=0-G B D F# A E =1-G Bb F 0-Ab C Eb =1-G Bb D# F 0-Ab C =3-G 0-Bb D F A C =5-G B D A 0-C E =8-G Bb D F C 0-Eb =10-G D 0-F A C E)

0,1,3,5,8,9 - 0-imaj713x9,11s3 1-Iaugmin911 3-id9s5 5-Iaug13x7 8-imaj7min13x9 9-Iaugmin9maj1113x7 9-id6min9min13x3,7,11s3 (=0-G Bb B D F# E =1-G B D# F 0-Ab C =3-G 0-Bb Db D F A =5-G B D# A 0-C E =8-G Bb D F# C 0-Eb =9-G B D# Ab C# 0-E =9-G B Db E Ab Eb)

0,1,3,5,7 - I11x5 - M

0,1,3,5,7,10 - 0-imaj713x3 1-idmin9min13x11 3-imin13x5 3-iaug11x3smin3 5-I11 7-Imaj1113x7 10-i13x9 (=0-G D F# A C E =1-G Bb Db F 0-Ab Eb =3-G 0-Bb F A C Eb =3-G 0-Bb D# F A C =5-G B D F A 0-C =7-G B 0-D A C# E =10-G Bb D 0-F C E)

0,1,3,5,7,9 - 0-imaj713x9 1-idmin9min13x3,11s3 1-Iaugmin9maj11 3-idmin13x11 5-Iaug11 7-Imaj11 9-Iaugmaj1113x7 (=0-G Bb D F# C E =1-G B Db F 0-Ab Eb =1-G B D# F 0-Ab C# =3-G 0-Bb Db F A Eb =5-G B D# F A 0-C =7-G B 0-D F A C# =9-G B D# A C# 0-E)

0,1,3,5,7,8 - 0-Imaj713x9 1-idmin9min13x3 3-imin13x11 5-I13x5 7-Imaj7maj11 8-imin9min13x7 (=0-G B D F# C E =1-G Db F 0-Ab C Eb =3-G 0-Bb D F A Eb =5-G B F A 0-C E =7-G B 0-D F# A C# =8-G Bb D Ab C 0-Eb)

0,1,3,5,6 - 0-imaj7maj1113x3,9 1-imin9min13x3,11 3-id69x5 3-i13x5,11 5-Imaj711x5 6-idmin911x7 (=0-G D F# C# E =1-G D F 0-Ab Eb =3-G 0-Bb E F A =3-G 0-Bb F A E =5-G B F# A 0-C =6-G Bb 0-Db Ab C)

0,1,3,5,6,10 - 0-imaj7maj1113x3 1-imin9min13x11 3-i13x5 5-Imaj711 6-idmin9min13x7 10-I13x9 (=0-G D F# A C# E =1-G Bb D F 0-Ab Eb =3-G 0-Bb F A C E =5-G B D F# A 0-C =6-G Bb 0-Db Ab C Eb =10-G B D 0-F C E)

0,1,3,5,6,9 - 0-imaj7maj1113x9 1-Imin9min13x11 3-id69 5-Iaugmaj711 6-id6min911x7 9-Iaugmaj1113x7,9smin3 9-id6min13x7,9,11s3 (=0-G Bb D F# C# E =1-G B D F 0-Ab Eb =3-G 0-Bb Db E F A =5-G B D# F# A 0-C =6-G Bb 0-Db E Ab C =9-G Bb B D# C# 0-E =9-G Bb B Db 0-E Eb)

0,1,3,5,6,8 - 0-Imaj7maj1113x9 1-imin9min13x3 3-i13x11 5-Imaj713x5 6-idmin911 8-imin13x7 (=0-G B D F# C# E =1-G D F 0-Ab C Eb =3-G 0-Bb D F A E =5-G B F# A 0-C E =6-G Bb 0-Db F Ab C =8-G Bb D A C 0-Eb)

0,1,3,5,6,8,10 - 0-Imaj7maj1113 1-imin9min13 3-i13 5-Imaj713 6-idmin9min13 8-imin13 10-I13 (=0-G B D F# A C# E =1-G Bb D F 0-Ab C Eb =3-G 0-Bb D F A C E =5-G B D F# A 0-C E =6-G Bb 0-Db F Ab C Eb =8-G Bb D F A C 0-Eb =10-G B D 0-F A C E)

0,1,3,4 - 0-iaugmaj713x3,9,11 1-imin913x3,5,11 3-imaj79x5 4-imin9x5,7s3 (=0-G D# F# E =1-G F 0-Ab E =3-G 0-Bb F# A =4-G Bb 0-B Ab)

0,1,3,4,10 - 0-iaugmaj713x3,11 1-id6min9x5 1-imin913x5,11 3-imaj711x5 4-idmin9dim11x7 4-idmin9x7s3 10-imaj1113x3,9 (=0-G D# F# A E =1-G Bb E F 0-Ab =1-G Bb F 0-Ab E =3-G 0-Bb F# A C =4-G Bb Db Ab 0-B =4-G Bb 0-B Db Ab =10-G D 0-F C# E)

0,1,3,4,9 - 0-iaugmaj713x3,9,11smin3 0-id6maj7min13x5,9,11 1-Imin913x5,11 3-idmaj79 4-imin9dim11x7 4-imin9x7s3 9-id6min13x3,7,9 (=0-G Bb D# F# E =0-G Bb E F# Eb =1-G B F 0-Ab E =3-G 0-Bb Db F# A =4-G Bb D Ab 0-B =4-G Bb 0-B D Ab =9-G Db 0-E C Eb)

0,1,3,4,8 - 0-Iaugmaj713x9,11 1-imin913x3,5 3-imaj79 4-imin9min13x5,7,11s3 4-Iaugmin9x7smin3 8-Imin13x7,9 (=0-G B D# F# E =1-G F 0-Ab C E =3-G 0-Bb D F# A =4-G Bb 0-B Ab Eb =4-G Bb 0-B D# Ab =8-G B D C 0-Eb)

0,1,3,4,8,10 - 0-Iaugmaj713x11 1-imin913x5 3-imaj711 4-idmin9min13x7,11s3 4-Iaugmin9maj11smin3 8-Imin13x9 10-imaj1113x3 (=0-G B D# F# A E =1-G Bb F 0-Ab C E =3-G 0-Bb D F# A C =4-G Bb 0-B Db Ab Eb =4-G Bb 0-B D# Ab C# =8-G B D F C 0-Eb =10-G D 0-F A C# E)

0,1,3,4,8,9 - 0-Iaugmaj713x9,11smin3 0-id6maj7min13x5,9,11s3 1-Imin913x5 3-imaj7maj11 3-idmaj79s5 4-imin9min13x7,11s3 8-Imaj7min13x9 9-id6min9min13x3,7 (=0-G Bb B D# F# E =0-G Bb B E F# Eb =1-G B F 0-Ab C E =3-G 0-Bb D F# A C# =3-G 0-Bb Db D F# A =4-G Bb 0-B D Ab Eb =8-G B D F# C 0-Eb =9-G Db 0-E Ab C Eb)

0,1,3,4,7 - 0-iaugmaj713x3,9 1-id6min9x3 3-imaj7min13x5,11 4-id6min9x5,7s3 7-ids3,5 (=0-G D# F# C E =1-G Db E F 0-Ab =3-G 0-Bb F# A Eb =4-G Bb 0-B E Ab =7-G Bb B Db 0-D)

0,1,3,4,7,10 - 0-iaugmaj713x3 1-id6min9 3-imaj7min13x5 4-id6min9x7s3 7-id6s3,5 10-id67s5 (=0-G D# F# A C E =1-G Bb Db E F 0-Ab =3-G 0-Bb F# A C Eb =4-G Bb 0-B Db E Ab =7-G Bb B Db 0-D E =10-G Bb Db D E 0-F)

0,1,3,4,7,9 - 0-iaugmaj713x3,9smin3 1-idmin913x3,11s3 3-idmaj7min13x11 4-imin913x7,11s3 7-id7s3,5 9-id6min13x3,7 (=0-G Bb D# F# C E =1-G B Db F 0-Ab E =3-G 0-Bb Db F# A Eb =4-G Bb 0-B D Ab E =7-G Bb B Db 0-D F =9-G Db 0-E A C Eb) - (P)

0,1,3,4,7,8 - 0-Iaugmaj713x9 1-idmin913x3 3-imaj7min13x11 4-Iaugmin913x7,11smin3 7-idmaj7s3,5 8-Imin9min13x7 (=0-G B D# F# C E =1-G Db F 0-Ab C E =3-G 0-Bb D F# A Eb =4-G Bb 0-B D# Ab E =7-G Bb B Db 0-D F# =8-G B D Ab C 0-Eb) - (P)

0,1,3,4,7,8,10 - 0-Iaugmaj713 1-idmin913 1-id67min911 3-imaj7min13 4-id6min9min13x7,11s3 7-imaj7maj1113x9s3 8-Imin9min13 10-imaj1113 10-id69s5 (=0-G B D# F# A C E =1-G Bb Db F 0-Ab C E =1-G Bb Db E F 0-Ab C =3-G 0-Bb D F# A C Eb =4-G Bb 0-B Db E Ab Eb =7-G Bb B 0-D F# C# E =8-G B D F Ab C 0-Eb =10-G Bb D 0-F A C# E =10-G Bb Db D E 0-F A) (P)

0,1,3,4,6 - 0-iaugmaj7maj1113x3,9 1-imin913x3,11 3-id6maj79x5 4-imin9x5s3 6-id11x7 (=0-G D# F# C# E =1-G D F 0-Ab E =3-G 0-Bb E F# A =4-G Bb 0-B F Ab =6-G Bb 0-Db A C)

0,1,3,4,6,10 - 0-iaugmaj7maj1113x3 1-imin913x11 3-id6maj711x5 4-idmin9s3 6-idmin13x7 10-Imaj1113x9 (=0-G D# F# A C# E =1-G Bb D F 0-Ab E =3-G 0-Bb E F# A C =4-G Bb 0-B Db F Ab =6-G Bb 0-Db A C Eb =10-G B D 0-F C# E)

0,1,3,4,6,9 - 0-id6maj7min13x9,11 1-Imin913x11 3-id6maj7maj11x5 4-imin9s3 6-id611x7 9-id6min13x7,9 (=0-G Bb Db E F# Eb =1-G B D F 0-Ab E =3-G 0-Bb E F# A C# =4-G Bb 0-B D F Ab =6-G Bb Db E A C =9-G Bb Db 0-E C Eb)

0,1,3,4,6,8 - 0-Iaugmaj7maj1113x9 1-imin913x3 3-imaj713x11 4-imin9min13x5,11s3 6-id11 8-Imin13x7 (=0-G B D# F# C# E =1-G D F 0-Ab C E =3-G 0-Bb D F# A E =4-G Bb 0-B F Ab Eb =6-G Bb 0-Db F A C =8-G B D A C 0-Eb)

0,1,3,4,6,8,10 - 0-Iaugmaj7maj1113 1-imin913 3-imaj713 4-idmin9min13x11s3 6-idmin13 8-Imin13 10-Imaj1113 (=0-G B D# F# A C# E =1-G Bb D F 0-Ab C E =3-G 0-Bb D F# A C E =4-G Bb 0-B Db F Ab Eb =6-G Bb 0-Db F A C Eb =8-G B D F A C 0-Eb =10-G B D 0-F A C# E)

0,1,3,4,6,8,9 - 0-Iaugmaj7maj1113x9smin3 1-Imin913 3-imaj7maj1113 4-imin9min13x11s3 6-id611 8-Imaj7min13 9-id6min9min13x7 (=0-G Bb B D# F# C# E =1-G B D F 0-Ab C E =3-G 0-Bb D F# A C# E =4-G Bb 0-B D F Ab Eb =6-G Bb 0-Db E F A C =8-G B D F# A C 0-Eb =9-G Bb Db 0-E Ab C Eb)

0,1,3,4,6,7 - 0-id6maj7min13x3,9 1-imin9maj1113x3 3-iaugmaj713x3,11smin3 3-id6maj7min13x5,11 4-id6min9x5s3 4-imin913x5,11s3 6-idmaj711 7-imin9maj11x7s3 7-idmin9x7s3,5 (=0-G Db E F# C Eb =1-G D F 0-Ab C# E =3-G 0-Bb D# F# A E =3-G 0-Bb E F# A Eb =4-G Bb 0-B E F Ab =4-G Bb 0-B F Ab E =6-G Bb 0-Db F# A C =7-G Bb B 0-D Ab C# =7-G Bb B Db 0-D Ab)

0,1,3,4,6,7,10 - 0-id6maj7min13x3 1-imin9maj1113 1-id6min9s5 3-iaugmaj713x3smin3 3-id6maj7min13x5 4-imin9maj1113x5s3 4-id6min9s3 6-idmaj7min13 7-imin9maj1113x7s3 7-id6min9x7s3,5 10-imaj1113x9s3 10-id67s3,5 (=0-G Db E F# A C Eb =1-G Bb D F 0-Ab C# E =1-G Bb Db D E F 0-Ab =3-G 0-Bb D# F# A C E =3-G 0-Bb E F# A C Eb =4-G Bb 0-B F Ab C# E =4-G Bb 0-B Db E F Ab =6-G Bb 0-Db F# A C Eb =7-G Bb B 0-D Ab C# E =7-G Bb B Db 0-D E Ab =10-G Bb B D 0-F C# E =10-G Bb B Db D E 0-F)

0,1,3,4,6,7,9 - 0-id6maj7min13x9 1-Imin9maj1113 3-id6maj7min13x11 4-imin913x11s3 6-id6maj711 7-idmin9s3,5 7-imin9maj11s3 9-id6min13x7 (=0-G Bb Db E F# C Eb =1-G B D F 0-Ab C# E =3-G 0-Bb Db E F# A Eb =4-G Bb 0-B D F Ab E =6-G Bb 0-Db E F# A C =7-G Bb B Db 0-D F Ab =7-G Bb B 0-D F Ab C# =9-G Bb Db 0-E A C Eb)

0,1,3,4,6,7,9,10 - 0-id6maj7min13 1-imin9maj1113s3 1-id6min9s3,5 (=0-G Bb Db E F# A C Eb =1-G Bb B D F 0-Ab C# E =1-G Bb B Db D E F 0-Ab) - (S 'sawtooth')

0,1,2 - 0-imaj7x3,5s7 1-imaj7min9x3,5 2-imin9x3,5,7s9 (=0-G F F# =1-G F# 0-Ab =2-G Ab 0-A)

0,1,2,10 - 0-imaj79x3,5s7 1-imaj7min9x5 2-Imin9x5,7s9 10-id6min13x3,5,9,11 (=0-G F F# A =1-G Bb F# 0-Ab =2-G B Ab 0-A =10-G E 0-F Eb) - (good: F# Ab G Bb)

0,1,2,9 - 0-imaj7x5s7 1-Imaj7min9x5 2-imin911x3,5,7s9 9-imin13x3,7,9,11s13 (=0-G Bb F F# =1-G B F# 0-Ab =2-G Ab 0-A C =9-G D Eb 0-E)

0,1,2,9,10 - 0-imaj79x5s7 1-imaj7min9x5s3 2-Imin911x5,7s9 9-imaj7min13x3,9,11s13 10-id6min9min13x3,5,11 (=0-G Bb F F# A =1-G Bb B F# 0-Ab =2-G B Ab 0-A C =9-G D F# Eb 0-E =10-G E 0-F Ab Eb)

0,1,2,8 - 0-Imaj7x5s7 1-imaj7min911x3,5 2-idmin9x3,7s9 8-imaj11min13x3,7,9 (=0-G B F F# =1-G F# 0-Ab C =2-G Db Ab 0-A =8-G D C# 0-Eb)

0,1,2,8,10 - 0-Imaj79x5s7 1-imaj7min911x5 2-Imin9maj11x5,7s9 8-imaj11min13x3,9 10-id6min13x3,5,11 (=0-G B F F# A =1-G Bb F# 0-Ab C =2-G B Ab 0-A C# =8-G D F C# 0-Eb =10-G E 0-F A Eb)

0,1,2,8,9 - 0-imaj7x5s3,7 1-Imaj7min911x5 2-idmin911x3,7s9 8-imaj7maj11min13x3,9 9-imin9min13x3,7,11s13 (=0-G Bb B F F# =1-G B F# 0-Ab C =2-G Db Ab 0-A C =8-G D F# C# 0-Eb =9-G D Ab Eb 0-E)

0,1,2,7 - 0-imaj711x3,5,9s7 1-idmaj7min9x3 2-imin9x3,7s9 7-imin13x3,7,9,11s13 (=0-G F F# C =1-G Db F# 0-Ab =2-G D Ab 0-A =7-G D Eb 0-E)

0,1,2,7,10 - 0-imaj711x3,5s7 1-idmaj7min9 2-Imin9x7s9 7-id611x3,7,9s5 10-id6min13x5,9,11 (=0-G F F# A C =1-G Bb Db F# 0-Ab =2-G B D Ab 0-A =7-G Db 0-D E C =10-G Bb E 0-F Eb)

0,1,2,7,9 - 0-imaj711x5,9s7 1-idmaj7min9x3s3 2-imin911x3,7s9 7-id11x3,9s5 9-imin13x3,7,11s13 (=0-G Bb F F# C =1-G B Db F# 0-Ab =2-G D Ab 0-A C =7-G Db 0-D F C =9-G D A Eb 0-E)

0,1,2,7,9,10 - 0-imaj711x5s7 1-idmaj7min9s3 2-Imin911x7s9 7-id611x3,9s5 9-imaj7min13x3,11s13 10-id6min9min13x5,11 (=0-G Bb F F# A C =1-G Bb B Db F# 0-Ab =2-G B D Ab 0-A C =7-G Db 0-D E F C =9-G D F# A Eb 0-E =10-G Bb E 0-F Ab Eb)

0,1,2,7,8 - 0-Imaj711x5,9s7 1-idmaj7min911x3 2-imin9maj11x3,7s9 7-idmaj711x3,9s5 8-idmin9min13x3,7,11s5 (=0-G B F F# C =1-G Db F# 0-Ab C =2-G D Ab 0-A C# =7-G Db 0-D F# C =8-G Db D Ab 0-Eb)

0,1,2,7,8,10 - 0-Imaj711x5s7 1-idmaj7min911 2-Imin9maj11x7s9 7-id6maj711x3,9s5 8-idmin9min13x3,11s5 10-id6min13x5,11 (=0-G B F F# A C =1-G Bb Db F# 0-Ab C =2-G B D Ab 0-A C# =7-G Db 0-D E F# C =8-G Db D F Ab 0-Eb =10-G Bb E 0-F A Eb)

0,1,2,6 - 0-idmaj7x3s7 1-imaj7min9x3 2-iaugmin9x3,7s9 6-id11x3,7,9s3 (=0-G Db F F# =1-G D F# 0-Ab =2-G D# Ab 0-A =6-G B 0-Db C)

0,1,2,6,10 - 0-idmaj79x3s7 1-imaj7min9 2-Iaugmin9x7s9 6-idmin13x3,7,9s3 10-id6min13x3,5,9,11s3 (=0-G Db F F# A =1-G Bb D F# 0-Ab =2-G B D# Ab 0-A =6-G B 0-Db C Eb =10-G B E 0-F Eb)

0,1,2,6,9 - 0-idmaj7s7 1-Imaj7min9 2-iaugmin911x3,7s9 6-id611x3,7,9s3 9-imin13x7,9,11s13 (=0-G Bb Db F F# =1-G B D F# 0-Ab =2-G D# Ab 0-A C =6-G B Db E C =9-G Bb D Eb 0-E)

0,1,2,6,9,10 - 0-idmaj79s7 1-imaj7min9s3 2-Iaugmin911x7s9 6-id6min13x3,7,9s3 9-imaj7min13x9,11s13 10-id6min9min13x3,5,11s3 (=0-G Bb Db F F# A =1-G Bb B D F# 0-Ab =2-G B D# Ab 0-A C =6-G B 0-Db E C Eb =9-G Bb D F# Eb 0-E =10-G B E 0-F Ab Eb)

0,1,2,6,8 - 0-idmaj7x3s3,7 1-imaj7min911x3 2-idmin9min13x3,7,11s9 6-id11x3,9s3 8-idmin13x3,7,11s5 (=0-G B Db F F# =1-G D F# 0-Ab C =2-G Db Ab 0-A Eb =6-G B 0-Db F C =8-G Db D A 0-Eb)

0,1,2,6,8,10 - 0-idmaj79x3s3,7 1-imaj7min911 2-Iaugmin9maj11x7s9 6-Iaugmaj11x9,11s11 8-imaj11min13x3 10-id6min13x3,5,11s3 (=0-G B Db F F# A =1-G Bb D F# 0-Ab C =2-G B D# Ab 0-A C# =6-G B D# F C 0-C# =8-G D F A C# 0-Eb =10-G B E 0-F A Eb)

0,1,2,6,8,9 - 0-idmaj7s3,7 1-Imaj7min911 2-idmin9min13x3,7s9 6-id611x3,9s3 8-idmaj7min13x3,11s5 9-imin9min13x7,11s13 (=0-G Bb B Db F F# =1-G B D F# 0-Ab C =2-G Db Ab 0-A C Eb =6-G B 0-Db E F C =8-G Db D F# A 0-Eb 9-G Bb D Ab Eb 0-E)

0,1,2,6,7 - 0-idmaj711x3,9s7 1-imaj7min9maj11x3 2-imin9min13x3,7,11s9 6-idmaj711x3,9s3 7-idmin911x3,7s5 (=0-G Db F F# C =1-G D F# 0-Ab C# =2-G D Ab 0-A Eb =6-G B 0-Db F# C =7-G Db 0-D Ab C)

0,1,2,6,7,10 - 0-idmaj711x3s7 1-imaj7min9maj11 2-Imin9min13x7,11s9 6-idmaj7min13x3,9s3 7-idmin9min13x3,7s5 10-id6min13x5,9,11s3 (=0-G Db F F# A C =1-G Bb D F# 0-Ab C# =2-G B D Ab 0-A Eb =6-G B 0-Db F# C Eb =7-G Db 0-D Ab C Eb =10-G Bb B E 0-F Eb)

0,1,2,6,7,9 - 0-idmaj711x9s7 1-Imaj7min9maj11 2-imin9min13x3,7s9 6-id6maj711x3,9s3 7-idmin911x3s5 9-imin13x7,11s13 (=0-G Bb Db F F# C =1-G B D F# 0-Ab C# =2-G D Ab 0-A C Eb =6-G B 0-Db E F# C =7-G Db 0-D F Ab C =9-G Bb D A Eb 0-E)

0,1,2,6,7,9,10 - 0-idmaj711s7 1-imaj7min9maj11s3 2-Imin9min13x7s9 6-id6maj7min9x3,9s3 7-id6min911s5 9-imaj7min13x11s13 10-id6min9min13x5,11s3 (=0-G Bb Db F F# A C =1-G Bb B D F# 0-Ab C# =2-G B D Ab 0-A C Eb =6-G B 0-Db E F# C Eb =7-G Db 0-D E F Ab C =9-G Bb D F# A Eb 0-E =10-G Bb B E 0-F Ab Eb) - (good: G B D F# Bb C# Ab)

0,1,2,6,7,8 - 0-idmaj711x3,9s3,7 1-idmaj7min911x3s5 2-imin9maj11min13x3,7s9 (=0-G B Db F F# C =1-G Db D F# 0-Ab C =2-G D Ab 0-A C# Eb) - (S)

0,1,2,5 - 0-imaj7x3s7 1-imaj7min9min13x3,5,11 2-imin913x3,5,7,11s9 5-i11x5,7,9s3 (=0-G D F F# =1-G F# 0-Ab Eb =2-G Ab 0-A E =5-G Bb B 0-C)

0,1,2,5,10 - 0-imaj79x3s7 1-imaj7min9min13x5,11 2-Imin913x5,7,11s9 5-i11x7,9s3 10-id6min13x3,5,9 (=0-G D F F# A =1-G Bb F# 0-Ab Eb =2-G B Ab 0-A E =5-G Bb B D 0-C =10-G E 0-F C Eb)

0,1,2,5,9 - 0-imaj7s7 1-Imaj7min9min13x5,11 2-imin913x3,5,7s9 5-imin13x5,7,9s3 9-Imin13x7,9,11s13 (=0-G Bb D F F# =1-G B F# 0-Ab Eb =2-G Ab 0-A C E =5-G Bb B 0-C Eb =9-G B D Eb 0-E)

0,1,2,5,9,10 - 0-imaj79s7 1-imaj7min9min13x5,11s3 2-Imin913x5,7s9 5-imin13x7,9s3 9-Imaj7min13x9,11s13 10-id6min9min13x3,5 (=0-G Bb D F F# A =1-G Bb B F# 0-Ab Eb =2-G B Ab 0-A C E =5-G Bb B D 0-C Eb =9-G B D F# Eb 0-E =10-G E 0-F Ab C Eb)

0,1,2,5,8 - 0-Imaj7s7 1-imaj7min9min13x3,5 2-id6min9x3,7s9 5-i13x5,7,9s3 8-idmin13x7,9,11s5 (=0-G B D F F# =1-G F# 0-Ab C Eb =2-G Db E Ab 0-A =5-G Bb B 0-C E =8-G Bb Db D 0-Eb)

0,1,2,5,8,10 - 0-Imaj79s7 1-imaj7min9min13x5 2-id6min9x3,7s3,9 5-i13x7,9s3 8-idmin13x9,11s5 10-id6min13x3,5 (=0-G B D F F# A =1-G Bb F# 0-Ab C Eb =2-G B Db E Ab 0-A =5-G Bb B D 0-C E =8-G Bb Db D F 0-Eb =10-G E 0-F A C Eb)

0,1,2,5,8,9 - 0-imaj7s3,7 1-Imaj7min9min13x5 2-id6min911x3,7s9 5-Iaug13x7,9smin3 8-idmaj7min13s5 9-Imin9min13x7,11s13 (=0-G Bb B D F F# =1-G B F# 0-Ab C Eb =2-G Db E Ab 0-A C =5-G Bb B D# 0-C E =8-G Bb Db D F# 0-Eb =9-G B D Ab Eb 0-E)

0,1,2,5,7 - 0-imaj711x3,9s7 1-idmaj7min9min13x3,11 2-imin913x3,7,11s9 5-i11x5,9s3 7-id11x3,7s5 (=0-G D F F# C =1-G Db F# 0-Ab Eb =2-G D Ab 0-A E =5-G Bb B F 0-C =7-G Db 0-D A C)

0,1,2,5,7,10 - 0-imaj711x3s7 1-idmaj7min9min13x11 2-Imin913x7,11s9 5-i11x9s3 7-id611x3,7s5 10-id6min13x5,9 (=0-G D F F# A C =1-G Bb Db F# 0-Ab Eb =2-G B D Ab 0-A E =5-G Bb B D F 0-C =7-G Db 0-D E A C =10-G Bb E 0-F C Eb)

0,1,2,5,7,9 - 0-imaj711x9s7 1-idmaj7min9min13x3,11s3 2-imin913x3,7s9 5-Iaug11x9smin3 7-id11x3s5 9-Iaug13x7,11s5 (=0-G Bb D F F# C =1-G B Db F# 0-Ab Eb =2-G D Ab 0-A C E =5-G Bb B D# F 0-C =7-G Db 0-D F A C =9-G B D D# A 0-E)

0,1,2,5,7,9,10 - 0-imaj711s7 1-idmaj7min9min13x11s3 2-Imin9x7s9 5-imin13x9s3 7-id611x3s5 9-Imaj7min13x11s13 10-id6min9min13x5 (=0-G Bb D F F# A C =1-G Bb B Db F# 0-Ab Eb =2-G B D Ab 0-A C E =5-G Bb B D F 0-C Eb =7-G Db 0-D E F A C =9-G B D F# A Eb 0-E =10-G Bb E 0-F Ab C Eb)

0,1,2,5,7,8 - 0-Imaj7x9s7 1-idmaj7min9min13x3 2-imin9maj1113x3s9 5-i13x5,9s3 7-idmaj711x3s5 8-imin9maj11min13x7 (=0-G B D F F# C =1-G Db F# 0-Ab C Eb =2-G D Ab 0-A C# E =5-G Bb B F 0-C E =7-G Db 0-D F# A C =8-G Bb D Ab C# 0-Eb)

0,1,2,5,7,8,10 - 0-Imaj711s7 1-idmaj7min9min13 2-Imin9maj1113x7s9 5-i13x9s3 7-id6maj711x3s5 8-idmin9min13x11s5 10-id6min13x5 (=0-G B D F F# A C =1-G Bb Db F# 0-Ab C Eb =2-G B D Ab 0-A C# E =5-G Bb B D F 0-C E =7-G Db 0-D E F# A C =8-G Bb Db D F Ab 0-Eb =10-G Bb E 0-F A C Eb)

0,1,2,5,6 - 0-idmaj7x3s5,7 1-imaj7min9min13x3,11 2-iaugmin913x3,7,11s9 5-imaj711x5,9s3 6-idmin911x3,7s3 (=0-G Db D F F# =1-G D F# 0-Ab Eb =2-G D# Ab 0-A E =5-G Bb B F# 0-C =6-G B 0-Db Ab C)

0,1,2,5,6,10 - 0-imaj7maj11x3s7 1-imaj7min9min13x11 2-Iaugmin913x7,11s9 5-imaj711x9s3 6-idmin9min13x3,7s3 10-id6min13x3,5,9s3 (=0-G D F F# A C# =1-G Bb D F# 0-Ab Eb =2-G B D# Ab 0-A E =5-G Bb B D F# 0-C =6-G B 0-Db Ab C Eb =10-G B E 0-F C Eb)

0,1,2,5,6,9 - 0-imaj7maj11x9s7 1-Imaj7min9min13x11 2-iaugmin913x3,7s9 5-Iaugmaj711x9smin3 6-id6min911x3,7s3 9-imin13x7,9,11s3,13 (=0-G Bb D F F# C# =1-G B D F# 0-Ab Eb =2-G D# Ab 0-A C E =5-G Bb B D# F# 0-C =6-G B 0-Db E Ab C =9-G Bb B D Eb 0-E)

0,1,2,5,6,9,10 - 0-imaj7maj11s7 1-imaj7min9min13x11s3 2-Iaugmin913x7s9 5-imaj7min13x9s3 6-id6min9min13x3,7s3 9-imaj7min13x9,11s3,13 10-id6min9min13x3,5s3 (=0-G Bb D F F# A C# =1-G Bb B D F# 0-Ab Eb =2-G B D# Ab 0-A C E =5-G Bb B D F# 0-C Eb =6-G B 0-Db E Ab C Eb =9-G Bb B D F# Eb 0-E =10-G B E 0-F Ab C Eb)

0,1,2,5,6,8 - 0-Imaj7maj11x9s7 1-imaj7min9min13x3 2-id6min9min13x3,7,11s9 5-imaj713x5,9s3 6-idmin911x3s3 8-imaj11min13x7 (=0-G B D F F# C# =1-G D F# 0-Ab C Eb =2-G Db E Ab 0-A Eb =5-G Bb B F# 0-C E =6-G B Db F Ab C =8-G Bb D A C# 0-Eb)

0,1,2,5,6,8,10 - 0-Imaj7maj11s7 1-imaj7min9min13 2-id6min9min13x3,7,11s3,9 5-imaj713x9s3 6-idmin9min13x3s3 8-imaj11min13 10-id6min13x3,5s3 (=0-G B D F F# A C# =1-G Bb D F# 0-Ab C Eb =2-G B Db E Ab 0-A Eb =5-G Bb B D F# 0-C E =6-G B 0-Db F Ab C Eb =8-G Bb D F A C# 0-Eb =10-G B E 0-F A C Eb)

0,1,2,5,6,8,9 - 0-imaj7maj11x9s3,7 1-Imaj7min9min13 2-id6min9min13x3,7s9 5-Iaugmaj713x9smin3 6-id6min911x3s3 8-imaj7maj11min13 9-imin9min13x7,11s3,13 (=0-G Bb B D F F# C# =1-G B D F# 0-Ab C Eb =2-G Db E Ab 0-A C Eb =5-G Bb B D# F# 0-C E =6-G B 0-Db E F Ab C =8-G Bb D F# A C# 0-Eb =9-G Bb B D Ab Eb 0-E)

0,1,2,5,6,7 - 0-idmaj711x9s5,7 1-idmaj7min9min13x3,11s5 2-imin9min13x3,7,11s9,13 5-imaj711x5,9s3,7 6-idmin911x3s3 7-imin9maj11x3,7s9,11 (=0-G Db D F F# C =1-G Db D F# 0-Ab Eb =2-G D Ab 0-A Eb E =5-G Bb B F F# 0-C =6-G B 0-Db F Ab C =7-G 0-D Ab A C C#)

0,1,2,5,6,7,10 - 0-imaj7maj11x3s7,11 1-idmaj7min9min13x11s5 2-Imin9min13x7,11s9,13 5-imaj711x9s3,7 6-idmaj7min9min13x3s3 7-id6min911x3,7s5,9 10-id6min13x5,9s3 (=0-G D F F# A C C# =1-G Bb Db D F# 0-Ab Eb =2-G B D Ab 0-A Eb E =5-G Bb B D F F# 0-C =6-G B 0-Db F# Ab C Eb =7-G Db 0-D E Ab A C =10-G Bb B E 0-F C Eb)

0,1,2,4 - 0-iaugmaj7x3s7 1-imaj7min913x3,5,11 2-imin9x3,5s9 4-i9x5,7s3 (=0-G D# F F# =1-G F# 0-Ab E =2-G F Ab 0-A =4-G Bb 0-B A)

0,1,2,4,10 - 0-iaugmaj79x3s7 1-imaj7min913x5,11 2-Imin9x5s9 4-id9x7s3 10-id6min13x3,9,11 (=0-G D# F F# A =1-G Bb F# 0-Ab E =2-G B F Ab 0-A =4-G Bb 0-B Db A =10-G Db E 0-F Eb)

0,1,2,4,9 - 0-iaugmaj7x3smin3,7 1-Imaj7min913x5,11 2-imin911x3,5s9 4-i9x7s3 9-imin13x3,7,9s13 (=0-G Bb D# F F# =1-G B F# 0-Ab E =2-G F Ab 0-A C =4-G Bb 0-B D A =9-G D C Eb 0-E)

0,1,2,4,9,10 - 0-iaugmaj79smin3 1-imaj7min913x5,11s3 2-Imin911x5s9 4-imaj11x7s3 9-imaj7min13x3,9s13 10-id6min9min13x3,11 (=0-G Bb D# F F# A =1-G Bb B F# 0-Ab E =2-G B F Ab 0-A C =4-G Bb 0-B D A C# =9-G D F# C Eb 0-E =10-G Db E 0-F Ab Eb)

0,1,2,4,8 - 0-Iaugmaj7s7 1-imaj7min913x3,5 2-idmin9x3s9 4-Iaug9x7smin3 8-Imaj11min13x7,9 (=0-G B D# F F# =1-G F# 0-Ab C E =2-G Db F Ab 0-A =4-G Bb 0-B D# A =8-G B D C# 0-Eb)

0,1,2,4,8,10 - 0-Iaugmaj79s7 1-imaj7min913x5 2-idmin9x3s3,9 4-idmin13x7,11s3 9-Imaj11min13x9 10-id6min13x3,11 (=0-G B D# F F# A =1-G Bb F# 0-Ab C E =2-G B Db F Ab 0-A =4-G Bb 0-B Db A Eb =9-G B D F C# 0-Eb =10-G Db E 0-F A Eb)

0,1,2,4,8,9 - 0-Iaugmaj7smin3,7 1-Imaj7min913x5 2-idmin911x3s9 4-imin13x7,11s3 8-Imaj7maj11min13x9 9-imin9min13x3,7s13 (=0-G Bb B D# F F# =1-G B F# 0-Ab C E =2-G Db F Ab 0-A C =4-G Bb 0-B D A Eb =8-G B D F# C# 0-Eb =9-G D Ab C Eb 0-E)

0,1,2,4,7 - 0-iaugmaj711x3,9s7 1-idmaj7min913x3,11 2-imin9x3s9 4-id69x5,7s3 7-id11x7,9s5 (=0-G D# F F# C =1-G Db F# 0-Ab E =2-G D F Ab 0-A =4-G Bb 0-B E A =7-G Bb Db 0-D C)

0,1,2,4,7,10 - 0-iaugmaj711x3s7 1-idmaj7min913x11 2-Imin9s9 4-id69x7s3 7-id611x7,9s5 10-id6min13x9,11 (=0-G D# F F# A C =1-G Bb Db F# 0-Ab E =2-G B D F Ab 0-A =4-G Bb 0-B Db E A =7-G Bb Db 0-D E C =10-G Bb Db E 0-F Eb)

0,1,2,4,7,9 - 0-iaugmaj711x3,9smin3,7 1-idmaj7min913x3,11s3 2-imin911x3s9 4-i13x7,11s3 7-id11x9s5 9-imin13x3,7s13 (=0-G Bb D# F F# C =1-G B Db F# 0-Ab E =2-G D F Ab 0-A C =4-G Bb 0-B D A E =7-G Bb Db 0-D F C =9-G D A C Eb 0-E)

0,1,2,4,7,9,10 - 0-iaugmaj711x3smin3,7 1-idmaj7min913x11s3 2-Imin911s9 4-imaj1113x7s3 7-id611x9s5 9-imaj7min13x3s13 10-id6min9min13x11 (=0-G Bb D# F F# A C =1-G Bb B Db F# 0-Ab E =2-G B D F Ab 0-A C =4-G Bb 0-B D A C# E =7-G Bb Db 0-D E F C =9-G D F# A C Eb 0-E =10-G Bb Db E 0-F Ab Eb)

0,1,2,4,7,8 - 0-Iaugmaj711x9s7 1-idmaj7min913x3 2-imin9maj11x3s9 4-iaug13x7,11smin3 7-idmaj711x9s5 8-Imin9maj11min13 (=0-G B D# F F# C =1-G Db F# 0-Ab C E =2-G D F Ab 0-A C# =4-G Bb 0-B D# A E =7-G Bb Db 0-D F# C =8-G B D Ab C# 0-Eb)

0,1,2,4,7,8,10 - 0-Iaugmaj711s7 1-idmaj7min913 2-Imin9maj11s9 4-id6min13x7,11s3 4-Iaugmaj1113x7smin3 7-id6maj711x9s5 8-Imin9maj11min13 10-id6min13x11 (=0-G B D# F F# A C =1-G Bb Db F# 0-Ab C E =2-G B D F Ab 0-A C# =4-G Bb 0-B Db E A Eb =4-G Bb 0-B D# A C# E =7-G Bb Db 0-D E F# C =8-G B D F Ab C# 0-Eb =10-G Bb Db E 0-F A Eb)

0,1,2,4,7,8,9 - 0-Iaugmaj711x9smin3 1-idmaj7min913x3s3 2-idmin911x3s5,9 4-imin13x7,11s3,13 7-idmaj711x9s5,7 8-Imaj7min9maj11min13 9-imin9min13x3,7s9,13 (=0-G Bb B D# F F# C =1-G B Db F# 0-Ab C E =2-G Db D F Ab 0-A C =4-G Bb 0-B D A Eb E =7-G Bb Db 0-D F F# C =8-G B D F# Ab C# 0-Eb =9-G D Ab A C Eb 0-E)

0,1,2,4,6 - 0-idmaj7min13x3,9,11s7 0-iaugmaj7maj11x3,9s7 1-imaj7min913x3,11 2-iaugmin9x3s9 4-i9x5s3 6-id11x3,7s3 (=0-G Db F F# Eb =0-G D# F F# C# =1-G D F# 0-Ab E =2-G D# F Ab 0-A =4-G Bb 0-B F A =6-G B 0-Db A C)

0,1,2,4,6,10 - 0-idmaj7min13x3,11s7 0-iaugmaj7maj11x3s7 1-imaj7min913x11 2-Iaugmin9s9 4-id9s3 6-Iaugmaj11x7s11 6-idmin13x3,7s3 10-id6min13x3,9,11s3 (=0-G Db F F# A Eb =0-G D# F F# A C# =1-G Bb D F# 0-Ab E =2-G B D# F Ab 0-A =4-G Bb 0-B Db F A =6-G B D# A C 0-C# =6-G B Db A C Eb =10-G B Db E 0-F Eb)

0,1,2,4,6,9 - 0-idmaj7min13x9,11s7 1-Imaj7min913x11 2-iaugmin911x3s9 4-i9s3 6-id611x3,7s3 9-imin13x7,9s13 (=0-G Bb Db F F# Eb =1-G B D F# 0-Ab E =2-G D# F Ab 0-A C =4-G Bb 0-B D F A =6-G B 0-Db E A C =9-G Bb D C Eb 0-E)

0,1,2,4,6,9,10 - 0-idmaj7min13x11s7 1-imaj7min913x11s3 2-Iaugmin911s9 4-imaj11s3 6-id6min13x3,7s3 9-imaj7min13x9s13 10-id6min9min13x3,11s3 (=0-G Bb Db F F# A Eb =1-G Bb B D F# 0-Ab E =2-G B D# F Ab 0-A C =4-G Bb 0-B D F A C# =6-G B 0-Db E A C Eb =9-G Bb D F# C Eb 0-E =10-G B Db E 0-F Ab Eb)

0,1,2,4,6,8 - 0-idmaj7min13x3,9,11s3,7 0-Iaugmaj7maj11x9s7 1-imaj7min913x3 2-idmin9min13x3,11s9 2-Iaugmin9maj11x3s9 4-Iaug9smin3 6-id11x3s3 8-idmin13x3,7,11s3,5 8-Imaj11min13x7 (=0-G B Db F F# Eb =0-G B D# F F# C# =1-G D F# 0-Ab C E =2-G Db F Ab 0-A Eb =2-G D# F Ab 0-A C# =4-G Bb 0-B D# F A =6-G B 0-Db F A C =8-G B Db D A 0-Eb =8-G B D A C# 0-Eb)

0,1,2,4,6,8,10 - 0-Iaugmaj7maj11s7 0-idmaj7min13x3,11s3,7 1-imaj7min913 2-Iaugmin9maj11s9 2-idmin9min13x3,11s3,9 4-Iaugmaj11smin3 4-idmin13x11s3 6-idmin13x3s3 8-Imaj11min13 10-id6min13x3,11s3 (=0-G B D# F F# A C# =0-G B Db F F# A Eb =1-G Bb D F# 0-Ab C E =2-G B D# F Ab 0-A C# =2-G B Db F Ab 0-A Eb =4-G Bb 0-B D# F A C# =4-G Bb 0-B Db F A Eb =6-G B 0-Db F A C Eb =8-G B D F A C# 0-Eb =10-G B Db E 0-F A Eb)

0,1,2,4,6,8,9 - 0-idmaj7min13x9,11s3,7 0-Iaugmaj7maj11x9smin3,7 1-Imaj7min913 2-idmin9min13x3s9 4-imin13x11s3 6-id611x3s3 8-Imaj7maj11min13 9-imin9min13x7s13 (=0-G Bb B Db F F# Eb =0-G Bb B D# F F# C# =1-G B D F# 0-Ab C E =2-G Db F Ab 0-A C Eb =4-G Bb 0-B D F A Eb =6-G B 0-Db E F A C =8-G B D F# A C# 0-Eb =9-G Bb D Ab C Eb 0-E)

0,1,2,4,6,7 - 0-idmaj7min13x3,9s7 1-idmaj7min913x3,11s5 2-imin9min13x3,11s9 4-i13x5,11s3 6-idmaj711x3 7-idmin911x7s5 (=0-G Db F F# C Eb =1-G Db D F# 0-Ab E =2-G D F Ab 0-A Eb =4-G Bb 0-B F A E =6-G B 0-Db F# A C =7-G Bb Db 0-D Ab C)

0,1,2,4,6,7,10 - 0-idmaj7min13x3s7 1-idmaj7min913x11s5 2-Imin9min13x11s9 4-id69s3 6-idmaj7min13x3s3 7-id6min911x7s5 10-id6min13x9,11s3 (=0-G Db F F# A C Eb =1-G Bb Db D F# 0-Ab E =2-G B D F Ab 0-A Eb =4-G Bb 0-B Db E F A =6-G B 0-Db F# A C Eb =7-G Bb Db 0-D E Ab C =10-G Bb B Db E 0-F Eb)

0,1,2,4,6,7,9 - 0-idmaj7min13x9s7 1-idmaj7min913x3,11s3,5 2-imin9min13x3s9 4-i13x11s3 6-id6maj711x3s3 7-idmin911s5 9-imin13x7s13 (=0-G Bb Db F F# C Eb =1-G B Db D F# 0-Ab E =2-G D F Ab 0-A C Eb =4-G Bb 0-B D F A E =6-G B 0-Db E F# A C =7-G Bb Db 0-D F Ab C =9-G Bb D A C Eb 0-E)

0,1,2,4,6,7,9,10 - 0-idmaj7min13s7 1-idmaj7min913x11s3,5 2-Imin9min13s9 4-imaj1113s3 6-id6maj7min13x3s3 6-Iaugmaj7maj1113s11 7-id6min911s5 7-imin9maj1113s11 9-imaj7min13s13 10-id6min9min13x11s3 (=0-G Bb Db F F# A C Eb =1-G Bb B Db D F# 0-Ab E =2-G B D F Ab 0-A C Eb =4-G Bb 0-B D F A C# E =6-G B 0-Db E F# A C Eb =6-G B D# F# A C C# E =7-G Bb Db 0-D E F Ab C =7-G Bb 0-D F Ab C C# E =9-G Bb D F# A C Eb 0-E =10-G Bb B Db E 0-F Ab Eb) - (good: G B D F# Bb Db E Ab)

0,1,2,4,6,7,8 - 0-idmaj7min13x3,9s3,7 0-Iaugmaj7maj11x9s7,11 1-idmaj7min913x3s5 2-imin9maj11min13x3s9 4-Iaug13x11smin3 6-idmaj711x3s3,7 7-idmaj7min911s5 -Imin9maj11min13x7s9 (=0-G B Db F F# C Eb =0-G B D# F F# C C# =1-G Db D F# 0-Ab C E =2-G D F Ab 0-A C# Eb =4-G Bb 0-B D# F A E =6-G B 0-Db F F# A C =7-G Bb Db 0-D F# Ab C =8-G B D Ab A C# 0-Eb)

0,1,2,4,6,7,8,10 - 0-Iaugmaj7maj11s7,11 0-idmaj7min13x3s3,7 1-idmaj7min913s5 1-id6maj7min911s5 1-imaj7min9maj1113s11 2-Imin9maj11min13s9 4-id6min13x11s3 (=0-G B D# F F# A C C# =0-G B Db F F# A C Eb =1-G Bb Db D F# 0-Ab C E =1-G Bb Db D E F# 0-Ab C =1-G Bb D F# 0-Ab C C# E =2-G B D F Ab 0-A C# Eb =4-G Bb 0-B Db E F A Eb) (S)

0,1,2,4,5 - 0-imaj7min13x3,9,11s7 1-iaugmaj7min913x3,11 2-imin913x3,5,11s9 4-imaj79x5s3 5-imin911x5,7s3 (=0-G D F F# Eb =1-G D# F# 0-Ab E =2-G F Ab 0-A E =4-G Bb 0-B F# A =5-G Bb B Ab 0-C)

0,1,2,4,5,10 - 0-imaj7min13x3,11s7 1-iaugmaj7min913x3,11smin3 2-Imin913x5,11s9 4-idmaj79s3 5-imin911x7,11s3 10-id6min13x3,9 (=0-G D F F# A Eb =1-G Bb D# F# 0-Ab E =2-G B F Ab 0-A E =4-G Bb 0-B Db F# A =5-G Bb B D Ab 0-C =10-G Db E 0-F C Eb)

0,1,2,4,5,9 - 0-imaj7min13x9,11s7 1-Iaugmaj7min913x11 2-imin913x3,5s9 4-imaj79s3 5-Iaugmin911x7smin3 9-Imin13x7,9s13 (=0-G Bb D F F# Eb =1-G B D# F# 0-Ab E =2-G F Ab 0-A C E =4-G Bb 0-B D F# A =5-G Bb B D# Ab 0-C =9-G B D C Eb 0-E)

0,1,2,4,5,9,10 - 0-imaj7min13x11s7 1-Iaugmaj7min913x11smin3 2-Imin913x5s9 4-imaj7maj11s3 5-imin9min13x7s3 9-Imaj7min13x9s13 10-id6min9min13x3 (=0-G Bb D F F# A Eb =1-G Bb B D# F# 0-Ab E =2-G B F Ab 0-A C E =4-G Bb 0-B D F# A C# =5-G Bb B D Ab 0-C Eb =9-G B D F# C Eb 0-E =10-G Db E 0-F Ab C Eb)

0,1,2,4,5,8 - 0-Iaugmaj7s5,7 0-Imaj7min13x9,11s7 1-iaugmaj7min913x3 2-id6min9x3s9 4-Iaugmaj79smin3 5-imin913x5,7s3 8-idmin13x7,9,11s3,5 8-imaj11min13x7,9s3 (=0-G B D D# F F# =0-G B D F F# Eb =1-G D# F# 0-Ab C E =2-G Db E F Ab 0-A =4-G Bb 0-B D# F# A =5-G Bb B Ab 0-C E =8-G Bb B Db D 0-Eb =8-G Bb B D C# 0-Eb)

0,1,2,4,5,8,10 - 0-Imaj7min13x11s7 1-iaugmaj7min913x3smin3 2-id6min9x3s3,9 4-idmaj7min13x11s3 4-Iaugmaj7maj11smin3 5-imin913x7s3 8-imaj11min13x9s3 8-Iaugmaj11x9smin3,5 8-idmin13x9,11s3,5 10-id6min13x3 (=0-G B D F F# A Eb =1-G Bb D# F# 0-Ab C E =2-G B Db E F Ab 0-A =4-G Bb 0-B Db F# A Eb =4-G Bb 0-B D# F# A C# =5-G Bb B D Ab 0-C E =8-G Bb B D F C# 0-Eb =8-G Bb B D 0-D# F C# =8-G Bb B Db D F 0-Eb =10-G Db E 0-F A C Eb)

0,1,2,4,5,8,9 - 0-Iaugmaj7smin3,5,7 0-imaj7min13x9,11s3,7 1-Iaugmaj7min913 2-id6min911x3s9 4-imaj7min13x11s3 4-Iaugmaj79smin3,5 5-Iaugmin913x7smin3 8-idmaj7min13x9,11s3,5 8-imaj7maj11min13x9s3 9-Imin9min13x7s13 9-Iaugmin913x7s5 (=0-G Bb B D D# F F# =0-G Bb B D F F# Eb =1-G B D# F# 0-Ab C E =2-G Db E F Ab 0-A C =4-G Bb 0-B D F# A Eb =4-G Bb 0-B D D# F# A =5-G Bb B D# Ab 0-C E =8-G Bb B Db D F# 0-Eb =8-G Bb B D F# C# 0-Eb =9-G B D Ab C Eb 0-E =9-G B D D# Ab C 0-E)

0,1,2,4,5,7 - 0-imaj7min13x3,9s7 0-iaugmaj711x3,9s5,7 1-id6maj7min9min13x11 1-iaugmaj7min9maj1113x3 2-imin913x3,11s9 4-imaj713x5,11s3 5-imin911x5s3 7-id11x7s5 7-imaj11x7s11 (=0-G D F F# C Eb =0-G D D# F F# C =1-G Db E F# 0-Ab Eb =1-G D# F# 0-Ab C# E =2-G D F Ab 0-A E =4-G Bb 0-B F# A E =5-G Bb B F Ab 0-C =7-G Bb Db 0-D A C =7-G Bb 0-D A C C#)

0,1,2,4,5,7,10 - 0-imaj7min13x3s7 1-id6maj7min9min13x11 1-iaugmaj7min9maj1113x3smin3 2-Imin913x11s9 4-id6maj79s3 5-imin911s3 7-id611x7s5 7-imaj1113x7s11 10-id6min13x9 (=0-G D F F# A C Eb =1-G Bb Db E F# 0-Ab Eb =1-G Bb D# F# 0-Ab C# E =2-G B D F Ab 0-A E =4-G Bb 0-B Db E F# A =5-G Bb B D F Ab 0-C =7-G Bb Db 0-D E A C =7-G Bb 0-D A C C# E =10-G Bb Db E 0-F C Eb)

0,1,2,4,5,7,9 - 0-imaj7min13x9s7 1-Iaugmaj7min9maj1113 1-id6maj7min9min13x3,11s3 2-imin913x3s9 4-imaj713x11s3 5-Iaugmin911smin3 7-id11s5 9-Imin13x7s13 9-Iaug13x7s5 (=0-G Bb D F F# C Eb =1-G B D# F# 0-Ab C# E =1-G B Db E F# 0-Ab Eb =2-G D F Ab 0-A C E =4-G Bb 0-B D F# A E =5-G Bb B D# F Ab 0-C =7-G Bb Db 0-D F A C =9-G B D A C Eb 0-E =9-G B D D# A C 0-E)

0,1,2,4,5,7,9,10 - 0-imaj7min13s7 1-id6maj7min9min13x11s3 1-Iaugmaj7min9maj1113smin3 2-Imin913s9 4-id6maj79s3,5 4-imaj7maj1113s3 5-imin9min13s3 7-id611s5 7-imaj1113s11 9-Imaj7min13s13 9-Iaugmaj713s5 10-id6min9min13 (=0-G Bb D F F# A C Eb =1-G Bb B Db E F# 0-Ab Eb =1-G Bb B D# F# 0-Ab C# E =2-G B D F Ab 0-A C E =4-G Bb 0-B Db D E F# A =4-G Bb 0-B D F# A C# E =5-G Bb B D F Ab 0-C Eb =7-G Bb Db 0-D E F A C =7-G Bb 0-D F A C C# E =9-G B D F# A C Eb 0-E =9-G B D D# F# A C 0-E =10-G Bb Db E 0-F Ab C Eb)

0,1,2,4,5,7,8 - 0-Imaj7min13x9s7 1-id6maj7min9min13x3 2-imin9maj1113x3s9 4-Iaugmaj713x11smin3 5-imin913x5s3 7-idmaj711s5 7-imaj7maj11s11 8-idmin9min13x7,11s3,5 8-imin9maj11min13x7s3 8-Iaugmin9maj11x7smin3,5 (=0-G B D F F# C Eb =1-G Db E F# 0-Ab C Eb =2-G D F Ab 0-A C# E =4-G Bb 0-B D# F# A E =5-G Bb B F Ab 0-C E =7-G Bb Db 0-D F# A C =7-G Bb 0-D F# A C C# =8-G Bb B Db D Ab 0-Eb =8-G Bb B D Ab C# 0-Eb =8-G Bb B D 0-D# Ab C#)

0,1,2,4,5,7,8,10 - 0-Imaj7min13s7 1-id6maj7min9min13 2-Imin9maj1113s9 4-id6maj7min13x11s3 4-Iaugmaj7maj1113smin3 5-imin913s3 7-id6maj711s5 8-idmin9min13x11s3,5 8-Iaugmin9maj11smin3,5 8-imin9maj11min13s3 10-id6min13 10-iaugmaj1113x3smin3,11 (=0-G B D F F# A C Eb =1-G Bb Db E F# 0-Ab C Eb =2-G B D F Ab 0-A C# E =4-G Bb 0-B Db E F# A Eb =4-G Bb 0-B D# F# A C# E =5-G Bb B D F Ab 0-C E =7-G Bb Db 0-D E F# A C =8-G Bb B Db D F Ab 0-Eb =8-G Bb B D 0-D# F Ab C# =8-G Bb B D F Ab C# Eb =10-G Bb Db E 0-F A C Eb =10-G Bb D# 0-F A C C# E)

0,1,2,4,5,7,8,9 - 0-imaj7min13x9s3,7 1-id6maj7min9min13x3s3 1-Iaugmaj7min9maj1113s11 2-id6min911x3s5,9 2-imin9maj1113x3s9,11 4-imaj7min13x11s3,13 4-Iaugmaj713x11smin3,5 5-Iaugmin913smin3 7-idmaj711s5,7 7-imaj7maj11s7,11 8-idmaj7min9min13x11s3,5 8-imaj7min9maj11min13s3 9-Imin9min13x7s9,13 9-Iaugmin913x7s5,9 (=0-G Bb B D F F# C Eb =1-G B Db E F# 0-Ab C Eb =1-G B D# F# 0-Ab C C# E =2-G Db D E F Ab 0-A C =2-G D F Ab 0-A C C# E =4-G Bb 0-B D F# A Eb E =4-G Bb 0-B D D# F# A E =5-G Bb B D# F Ab C E =7-G Bb Db 0-D F F# A C =7-G Bb 0-D F F# A C C# =8-G Bb B Db D F# Ab 0-Eb =8-G Bb B D F# Ab C# 0-Eb =9-G B D Ab A C Eb 0-E =9-G B D D# Ab A C 0-E)

0,1,2,4,5,6 - 0-idmaj7min13x3,9,11s5,7 0-imaj7maj11min13x3,9s7 0-iaugmaj7maj11x3,9s5,7 1-imaj7min9min13x3,11s13 1-iaugmaj7min913x3,11s5 2-iaugmin913x3,11s9 4-imaj79x5s3,7 5-imaj7min911x5s3 6-idmin911x3,7s3,9 (=0-G Db D F F# Eb =0-G D F F# C# Eb =0-G D D# F F# C# =1-G D F# 0-Ab Eb E =1-G D D# F# 0-Ab E =2-G D# F Ab 0-A E =4-G Bb 0-B F F# A =5-G Bb B F# Ab 0-C =6-G B 0-Db Ab A C)

0,1,2,4,5,6,10 - 0-idmaj7min13x3,11s5,7 0-iaugmaj7maj11x3s5,7 0-imaj7maj11min13x3s7 1-iaugmaj7min913x3,11smin3,5 1-imaj7min9min13x11s13 2-Iaugmin913x11s9 4-idmaj79s3,7 5-imaj7min911s3 6-idmin9min13x3,7s3,9 6-iaugmin9maj11x7s9,11 10-id6min13x3,9s3 10-iaugmaj1113x9s11 (=0-G Db D F F# A Eb =0-G D D# F F# A C# =0-G D F F# A C# Eb =1-G Bb D D# F# 0-Ab E =1-G Bb D F# 0-Ab Eb E =2-G B D# F Ab 0-A E =4-G Bb 0-B Db F F# A =5-G Bb B D F# Ab 0-C =6-G B 0-Db Ab A C Eb =6-G B D# Ab A C 0-C# =10-G B Db E 0-F C Eb =10-G B D# 0-F C C# E)

0,1,2,4,5,6,9 - 0-idmaj7min13x9,11s5,7 0-imaj7maj11min13x9s7 1-Iaugmaj7min913x11s5 1-Imaj7min9min13x11s13 2-iaugmin913x3s9 4-imaj79s3,7 5-Iaugmaj7min911smin3 6-id6min911x3,7s3,9 9-Iaug13x7,9smin3,5 9-imin13x7,9s3,13 (=0-G Bb Db D F F# Eb =0-G Bb D F F# C# Eb =1-G B D D# F# 0-Ab E =1-G B D F# 0-Ab Eb E =2-G D# F Ab 0-A C E =4-G Bb 0-B D F F# A =5-G Bb B D# F# Ab 0-C =6-G B 0-Db E Ab A C =9-G Bb B D D# C 0-E =9-G Bb B D C Eb 0-E)

0,1,2,4,5,6,9,10 - 0-idmaj7min13x11s5,7 0-imaj7maj11min13s7 1-Iaugmaj7min913x11smin3,5 1-imaj7min9min13x11s3,13 2-Iaugmin913s9 4-imaj7maj11s3,7 5-imaj7min9min13s3 6-id6min9min13x3,7s3,9 6-Iaugmin9maj1113x7s9,11 9-imaj7min13x9s3,13 9-Iaugmaj713x9smin3,5 10-id6min9min13x3s3 10-Iaugmin913s11 (=0-G Bb Db D F F# A Eb =0-G Bb D F F# A C# Eb =1-G Bb B D D# F# 0-Ab E =1-G Bb B D F# 0-Ab Eb E =2-G B D# F Ab 0-A C E =4-G Bb 0-B D F F# A C# =5-G Bb B D F# Ab 0-C Eb =6-G B 0-Db E Ab A C Eb =6-G B D# Ab A C 0-C# E =9-G Bb B D F# C Eb 0-E =9-G Bb B D D# F# C 0-E =10-G B Db E 0-F Ab C Eb =10-G B D# 0-F Ab C C# E)

0,1,2,4,5,6,8 - 0-idmaj7min13x3,9,11s3,5,7 0-Iaugmaj7maj11x9s5,7 0-Imaj7maj11min13x9s7 1-iaugmaj7min913x3s5 1-imaj7min9min13x3s13 2-id6min9min13x3s9 2-iaugmin9maj1113x3s9 4-Iaugmaj79smin3,7 5-imaj7min913x5s3 6-idmin911x3s3,9 8-idmin13x7,11s3,5 8-Iaugmaj11x7smin3,5 8-imaj11min13x7s3 (=0-G B Db D F F# Eb =0-G B D D# F F# C# =0-G B D F F# C# Eb =1-G D D# F# 0-Ab C E =1-G D F# 0-Ab C Eb E =2-G Db E F Ab 0-A Eb =2-G D# F Ab 0-A C# E =4-G Bb 0-B D# F F# A =5-G Bb B F# Ab 0-C E =6-G B 0-Db F Ab A C =8-G Bb B Db D A 0-Eb =8-G Bb B D 0-D# A C# =8-G Bb B D A C# 0-Eb)

0,1,2,4,5,6,8,10 - 0-idmaj7min13x3,11s3,5,7 0-Iaugmaj7maj11s5,7 0-Imaj7maj11min13s7 1-Iaugmaj7min913x3smin3,5 1-imaj7min9min13s13 2-id6min9min13x3,11s3,9 2-Iaugmin9maj1113s9 4-idmaj7min13x11s3,7 4-Iaugmaj7maj11smin3,7 5-imaj7min913s3 6-idmin9min13x3s3,9 6-Iaugmin9maj11s9,11 8-idmin13x11s3,5 8-Iaugmaj11smin3,5 8-imaj11min13s3 10-id6min13x3s3 10-Iaugmaj1113s11 (=0-G B Db D F F# A Eb =0-G B D D# F F# A C# =0-G B D F F# A C# Eb =1-G Bb D D# F# 0-Ab C E =1-G Bb D F# 0-Ab C Eb E =2-G B Db E F Ab 0-A Eb =2-G B D# F Ab 0-A C# E =4-G Bb 0-B Db F F# A Eb =4-G Bb 0-B D# F F# A C# =5-G Bb B D F# Ab 0-C E =6-G B 0-Db F Ab A C Eb =6-G B D# F Ab A C 0-C# =8-G Bb B Db D F A 0-Eb =8-G Bb B D 0-D# F A C# =8-G Bb B D F A C# 0-Eb =10-G B Db E 0-F A C Eb =10-G B D# 0-F A C C# E)

0,1,2,4,5,6,8,9 - 0-idmaj7min13x9,11s3,5,7 0-Iaugmaj7maj11x9smin3,5,7 0-imaj7maj11min13x9s3,7 1-Iaugmaj7min913s5 1-Imaj7min9min13s13 2-id6min9min13x3s9 2-iaugmin9maj1113x3s9,11 4-imaj7min13x11s3,7 5-Iaugmaj7min913smin3 6-id6min911x3s3,9 8-imaj7maj11min13s3 9-Iaugmin913x7smin3,5 9-imin9min13x7s3,13 (=0-G Bb B Db D F F# Eb =0-G Bb B D D# F F# C# =0-G Bb B D F F# C# Eb =1-G B D D# F# 0-Ab C E =1-G B D F# 0-Ab C Eb E =2-G Db E F Ab 0-A C Eb =2-G D# F Ab 0-A C C# E =4-G Bb 0-B D F F# A Eb =5-G Bb B D# F# Ab 0-C E =6-G B 0-Db E F Ab A C =8-G Bb B D F# A C# 0-Eb =9-G Bb B D D# Ab C 0-E =9-G Bb B D Ab C Eb 0-E)

0,1,2,4,5,6,8,9,10 - 0-imaj7maj11min13s3,7 1-Iaugmaj7min913smin3,5 1-imaj7min9min13s3,13 2-id6min9min13x3s3,9 2-Iaugmin9maj1113s9,11 (=0-G Bb B D F F# A C# Eb =1-G Bb B D D# F# 0-Ab C E =1-G Bb B D F# 0-Ab C Eb E =2-G B Db E F Ab 0-A C Eb =2-G B D# F Ab 0-A C C# E) - (S)

0,1,2,3 - - 1-G F F# 0-Ab - (good: G F# Ab F)

0,1,2,3,10 - -

0,1,2,3,9 - -

0,1,2,3,9,10 - -

0,1,2,3,8 - -

0,1,2,3,8,10 - -

0,1,2,3,8,9 - -

0,1,2,3,8,9,10 - - - (good: G Bb D Ab C A C#)

0,1,2,3,7 - -

0,1,2,3,7,10 - -

0,1,2,3,7,9 - -

0,1,2,3,7,9,10 - -

0,1,2,3,7,8 - -

0,1,2,3,7,8,10 - -

0,1,2,3,7,8,9 - -

0,1,2,3,6 - -

0,1,2,3,6,10 - -

0,1,2,3,6,9 - -

0,1,2,3,6,9,10 - -

0,1,2,3,6,8 - -

0,1,2,3,6,8,10 - -

0,1,2,3,6,8,9 - -

0,1,2,3,6,8,9,10 - -

0,1,2,3,6,7 - -

0,1,2,3,6,7,10 - -

0,1,2,3,6,7,9 - -

0,1,2,3,6,7,9,10 - - - (good: G B D F# Bb Db F Ab)

0,1,2,3,6,7,8 - -

0,1,2,3,6,7,8,10 - -

0,1,2,3,6,7,8,9 - - - (S)

0,1,2,3,5 - -

0,1,2,3,5,10 - -

0,1,2,3,5,9 - -

0,1,2,3,5,9,10 - -

0,1,2,3,5,8 - -

0,1,2,3,5,8,10 - -

0,1,2,3,5,8,9 - -

0,1,2,3,5,8,9,10 - -

0,1,2,3,5,7 - -

0,1,2,3,5,7,10 - -

0,1,2,3,5,7,9 - -

0,1,2,3,5,7,9,10 - -

0,1,2,3,5,7,8 - -

0,1,2,3,5,7,8,10 - -

0,1,2,3,5,7,8,9 - -

0,1,2,3,5,6 - -

0,1,2,3,5,6,10 - -

0,1,2,3,5,6,9 - -

0,1,2,3,5,6,9,10 - -

0,1,2,3,5,6,8 - -

0,1,2,3,5,6,8,10 - - - (H)

0,1,2,3,5,6,8,9 - -

0,1,2,3,5,6,8,9,10 - -

0,1,2,3,5,6,7 - -

0,1,2,3,5,6,7,10 - -

0,1,2,3,5,6,7,9 - -

0,1,2,3,5,6,7,9,10 - -

0,1,2,3,5,6,7,8 - -

0,1,2,3,5,6,7,8,10 - -

0,1,2,3,4 - -

0,1,2,3,4,10 - -

0,1,2,3,4,9 - -

0,1,2,3,4,9,10 - -

0,1,2,3,4,8 - -

0,1,2,3,4,8,10 - -

0,1,2,3,4,8,9 - -

0,1,2,3,4,8,9,10 - -

0,1,2,3,4,7 - -

0,1,2,3,4,7,10 - -

0,1,2,3,4,7,9 - -

0,1,2,3,4,7,9,10 - -

0,1,2,3,4,7,8 - -

0,1,2,3,4,7,8,10 - -

0,1,2,3,4,7,8,9 - -

0,1,2,3,4,7,8,9,10 - -

0,1,2,3,4,6 - -

0,1,2,3,4,6,10 - -

0,1,2,3,4,6,9 - - - (good: G Bb D F Ab B A)

0,1,2,3,4,6,9,10 - -

0,1,2,3,4,6,8 - -

0,1,2,3,4,6,8,10 - -

0,1,2,3,4,6,8,9 - -

0,1,2,3,4,6,8,9,10 - -

0,1,2,3,4,6,7 - -

0,1,2,3,4,6,7,10 - -

0,1,2,3,4,6,7,9 - -

0,1,2,3,4,6,7,9,10 - -

0,1,2,3,4,6,7,8 - -

0,1,2,3,4,6,7,8,10 - -

0,1,2,3,4,6,7,8,9 - -

0,1,2,3,4,6,7,8,9,10 - - - (S)

0,1,2,3,4,5 - -

0,1,2,3,4,5,10 - - - (good: G Bb D Ab B A C, G Bb Db F# A Ab B, G Bb D A C Ab B)

0,1,2,3,4,5,9 - - - (good: G Bb Db F Ab F# A, G Bb D F# A Ab B)

0,1,2,3,4,5,9,10 - -

0,1,2,3,4,5,8 - - - (good: G Bb D F# A F Ab, G Bb D F Ab F# A)

0,1,2,3,4,5,8,10 - -

0,1,2,3,4,5,8,9 - -

0,1,2,3,4,5,8,9,10 - -

0,1,2,3,4,5,7 - - - (good: G B D A# C# A C)

0,1,2,3,4,5,7,10 - -

0,1,2,3,4,5,7,9 - -

0,1,2,3,4,5,7,9,10 - -

0,1,2,3,4,5,7,8 - -

0,1,2,3,4,5,7,8,10 - -

0,1,2,3,4,5,7,8,9 - -

0,1,2,3,4,5,7,8,9,10 - -

0,1,2,3,4,5,6 - - - (good: G Bb Db A C Ab B)

0,1,2,3,4,5,6,10 - -

0,1,2,3,4,5,6,9 - -

0,1,2,3,4,5,6,9,10 - -

0,1,2,3,4,5,6,8 - -

0,1,2,3,4,5,6,8,10 - -

0,1,2,3,4,5,6,8,9 - -

0,1,2,3,4,5,6,8,9,10 - -

0,1,2,3,4,5,6,7 - -

0,1,2,3,4,5,6,7,10 - -

0,1,2,3,4,5,6,7,9 - -

0,1,2,3,4,5,6,7,9,10 - -

0,1,2,3,4,5,6,7,8 - -

0,1,2,3,4,5,6,7,8,10 - -

0,1,2,3,4,5,6,7,8,9 - -

0,1,2,3,4,5,6,7,8,9,10 - -

0,1,2,3,4,5,6,7,8,9,10,11 - - - (S)

Copyright (c) 2009 Mark D. Blackwell.