User:MisterShafXen/Notation(s) for all edos: Difference between revisions

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=== 3L 2s (5-step generator) ===
=== 3L 2s (5-step generator) ===
Genchain: 4-1-6-3-0-5-2-7-4, Db-Bb-Eb-Cb-A-D-B-E-C
Genchain: 7-4-1-6-3-0-5-2-7-4-1-6-3-0-5, Ab-Db-Bb-Eb-Cb-A-D-B-E-C-A#-D#-B#-E#-C#


Gamut: A/E# A#/Bb B B#/Cb C/Db D/C# D#/Eb E/Ab
Gamut: A/E# A#/Bb B B#/Cb C/Db D/C# D#/Eb E/Ab
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=== 4L 1s (2-step generator) ===
=== 4L 1s (2-step generator) ===
Genchain: 1-3-5-7-0-2-4-6-8, Bb-Cb-Db-Eb-A-B-C-D-E
Genchain: 8-1-3-5-7-0-2-4-6-8-1-3-5-7-0, Ab-Bb-Cb-Db-Eb-A-B-C-D-E-A#-B#-C#-D#-E#


Gamut: A/E# A#/Bb B B#/Cb C C#/Db D D#/Eb E/Ab
Gamut: A/E# A#/Bb B B#/Cb C C#/Db D D#/Eb E/Ab


=== 2L 5s (5-step generator) ===
=== 2L 5s (5-step generator) ===
Genchain: 6-2-7-3-8-4-0-5-1-6-2-7-3, E#-B#-F#-C#-G#-D#-A-E-B-F-C-G-D
Genchain: 1-6-2-7-3-8-4-0-5-1-6-2-7-3-8-4-0-5-1-6-2, A#-E#-B#-F#-C#-G#-D#-A-E-B-F-C-G-D-Ab-Eb-Bb-Fb-Cb-Gb-Db


Gamut: A/Bb B/A# C/B# D/C# D#/Eb E/Fb F/E# G/F# G#/Ab
Gamut: A/Bb B/A# C/B# D/C# D#/Eb E/Fb F/E# G/F# G#/Ab
Line 42: Line 42:


=== 3L 4s (3-step generator) ===
=== 3L 4s (3-step generator) ===
Genchain: 2-5-8-1-4-7-0-3-6-9-2-5-8, Cb-Eb-Gb-Bb-Db-Fb-A-C-E-G-B-D-F
Genchain: 9-2-5-8-1-4-7-0-3-6-9-2-5-8-1-4-7-0-3-6-9, Ab-Cb-Eb-Gb-Bb-Db-Fb-A-C-E-G-B-D-F-A#-C#-E#-G#-B#-D#-F#


Gamut: A/G# A#/Bb B/Cb C/B# C#/Db D/Eb E/D# E#/Fb F/Gb G/Ab
Gamut: A/G# A#/Bb B/Cb C/B# C#/Db D/Eb E/D# E#/Fb F/Gb G/Ab/F#


== 11edo ==
== 11edo ==


=== 5L 1s (2-step generator) ===
=== 5L 1s (2-step generator) ===
Genchain: 1-3-5-7-9-0-2-4-6-8-10, Bb-Cb-Db-Eb-Fb-A-B-C-D-E-F
Genchain: 10-1-3-5-7-9-0-2-4-6-8-10-1-3-5-7-9-0, Ab-Bb-Cb-Db-Eb-Fb-A-B-C-D-E-F-A#-B#-C#-D#-E#-F#


Gamut: A/F# A#/Bb B B#/Cb C C#/Db D D#/Eb E E#/Fb F/Ab
Gamut: A/F# A#/Bb B B#/Cb C C#/Db D D#/Eb E E#/Fb F/Ab


=== 4L 3s (3-step generator) ===
=== 4L 3s (3-step generator) ===
Genchain: 4-7-10-2-5-8-0-3-6-9-1-4-7, C#-E#-G#-B#-D#-F#-A-C-E-G-B-D-F
Genchain: 1-4-7-10-2-5-8-0-3-6-9-1-4-7-10-2-5-8-0-3-6, A#-C#-E#-G#-B#-D#-F#-A-C-E-G-B-D-F-Ab-Cb-Eb-Gb-Bb-Db-Fb


Gamut: A B/A# B#/Cb C/Db D/C# D#/Eb E/Fb F/E# F#/Gb G G#/Ab
Gamut: A B/A# B#/Cb C/Db D/C# D#/Eb E/Fb F/E# F#/Gb G G#/Ab


=== 2L 5s (6-step generator) ===
=== 2L 5s (6-step generator) ===
Genchain: 8-3-9-4-10-5-0-6-1-7-2-8-3, E#-B#-F#-C#-G#-D#-A-E-B-F-C-G-D
Genchain: 2-8-3-9-4-10-5-0-6-1-7-2-8-3-9-4-10-5-0-6-1, A#-E#-B#-F#-C#-G#-D#-A-E-B-F-C-G-D-Ab-Eb-Bb-Fb-Cb-Gb-Db


Gamut: A B C D/B# C# D# E F G/E# F# G#
Gamut: A/Cb B/Db C/A# D/B# C#/Eb D#/Fb E/Gb F G/E# F#/Ab G#/Bb


=== 2L 7s (6-step generator) ===
=== 2L 7s (6-step generator) ===
Genchain: 7-2-8-3-9-4-10-5-0-6-1-7-2-8-3-9-4, F#-B#-G#-C#-H#-D#-I#-E#-A-F-B-G-C-H-D-I-E
Genchain: 1-7-2-8-3-9-4-10-5-0-6-1-7-2-8-3-9-4-10-5-0-6-1-7-2-8-3, A#-F#-B#-G#-C#-H#-D#-I#-E#-A-F-B-G-C-H-D-I-E-Ab-Fb-Bb-Gb-Cb-Hb-Db-Ib-Eb


Gamut: A/Bb B/Cb C/B# D/C# E/D# E#/Fb F/Gb G/F# H/G# I/H# I#/Ab
Gamut: A/Bb B/Cb/A# C/B# D/C# E/D# E#/Fb F/Gb G/F# H/G# I/H# I#/Ab
 
== 12edo ==
 
=== 5L 2s (7-step generator) ===
Genchain: 6-1-8-3-10-5-0-7-2-9-4-11-6, Eb-Bb-F-C-G-D-A-E-B-F#-C#-G#-D#
 
Gamut: A Bb B C C# D D#/Eb E F F# G G#
 
== 13edo ==
 
=== 6L 1s (2-step generator) ===
Genchain: 12-1-3-5-7-9-11-0-2-4-6-8-10-12-1-3-5-7-9-11-0, Ab-Bb-Cb-Db-Eb-Fb-Gb-A-B-C-D-E-F-G-A#-B#-C#-D#-E#-F#-G#
 
Gamut: A Bb B Cb C Db D Eb E Fb F Gb G
 
=== 4L 5s (3-step generator) ===
Genchain: 2-5-8-11-1-4-7-10-0-3-6-9-12-2-5-8-11, Cb-Eb-Gb-Ib-Bb-Db-Fb-Hb-A-C-E-G-I-B-D-F-H
 
=== 5L 3s (8-step generator) ===
Genchain: 9-4-12-7-2-10-5-0-8-3-11-6-1-9-4, F#-C#-H#-E#-B#-G#-D#-A-F-C-H-E-B-G-D
 
Gamut: A B B# C D/C# D# E E# F G/F# G# H H#

Latest revision as of 10:36, 24 May 2026

1edo

A

2edo

A B

3edo

A B C

4edo

A B C D

5edo

A B C D E

6edo

A B C D E F

7edo

A B C D E F G

8edo

3L 2s (5-step generator)

Genchain: 7-4-1-6-3-0-5-2-7-4-1-6-3-0-5, Ab-Db-Bb-Eb-Cb-A-D-B-E-C-A#-D#-B#-E#-C#

Gamut: A/E# A#/Bb B B#/Cb C/Db D/C# D#/Eb E/Ab

9edo

4L 1s (2-step generator)

Genchain: 8-1-3-5-7-0-2-4-6-8-1-3-5-7-0, Ab-Bb-Cb-Db-Eb-A-B-C-D-E-A#-B#-C#-D#-E#

Gamut: A/E# A#/Bb B B#/Cb C C#/Db D D#/Eb E/Ab

2L 5s (5-step generator)

Genchain: 1-6-2-7-3-8-4-0-5-1-6-2-7-3-8-4-0-5-1-6-2, A#-E#-B#-F#-C#-G#-D#-A-E-B-F-C-G-D-Ab-Eb-Bb-Fb-Cb-Gb-Db

Gamut: A/Bb B/A# C/B# D/C# D#/Eb E/Fb F/E# G/F# G#/Ab

10edo

3L 4s (3-step generator)

Genchain: 9-2-5-8-1-4-7-0-3-6-9-2-5-8-1-4-7-0-3-6-9, Ab-Cb-Eb-Gb-Bb-Db-Fb-A-C-E-G-B-D-F-A#-C#-E#-G#-B#-D#-F#

Gamut: A/G# A#/Bb B/Cb C/B# C#/Db D/Eb E/D# E#/Fb F/Gb G/Ab/F#

11edo

5L 1s (2-step generator)

Genchain: 10-1-3-5-7-9-0-2-4-6-8-10-1-3-5-7-9-0, Ab-Bb-Cb-Db-Eb-Fb-A-B-C-D-E-F-A#-B#-C#-D#-E#-F#

Gamut: A/F# A#/Bb B B#/Cb C C#/Db D D#/Eb E E#/Fb F/Ab

4L 3s (3-step generator)

Genchain: 1-4-7-10-2-5-8-0-3-6-9-1-4-7-10-2-5-8-0-3-6, A#-C#-E#-G#-B#-D#-F#-A-C-E-G-B-D-F-Ab-Cb-Eb-Gb-Bb-Db-Fb

Gamut: A B/A# B#/Cb C/Db D/C# D#/Eb E/Fb F/E# F#/Gb G G#/Ab

2L 5s (6-step generator)

Genchain: 2-8-3-9-4-10-5-0-6-1-7-2-8-3-9-4-10-5-0-6-1, A#-E#-B#-F#-C#-G#-D#-A-E-B-F-C-G-D-Ab-Eb-Bb-Fb-Cb-Gb-Db

Gamut: A/Cb B/Db C/A# D/B# C#/Eb D#/Fb E/Gb F G/E# F#/Ab G#/Bb

2L 7s (6-step generator)

Genchain: 1-7-2-8-3-9-4-10-5-0-6-1-7-2-8-3-9-4-10-5-0-6-1-7-2-8-3, A#-F#-B#-G#-C#-H#-D#-I#-E#-A-F-B-G-C-H-D-I-E-Ab-Fb-Bb-Gb-Cb-Hb-Db-Ib-Eb

Gamut: A/Bb B/Cb/A# C/B# D/C# E/D# E#/Fb F/Gb G/F# H/G# I/H# I#/Ab

12edo

5L 2s (7-step generator)

Genchain: 6-1-8-3-10-5-0-7-2-9-4-11-6, Eb-Bb-F-C-G-D-A-E-B-F#-C#-G#-D#

Gamut: A Bb B C C# D D#/Eb E F F# G G#

13edo

6L 1s (2-step generator)

Genchain: 12-1-3-5-7-9-11-0-2-4-6-8-10-12-1-3-5-7-9-11-0, Ab-Bb-Cb-Db-Eb-Fb-Gb-A-B-C-D-E-F-G-A#-B#-C#-D#-E#-F#-G#

Gamut: A Bb B Cb C Db D Eb E Fb F Gb G

4L 5s (3-step generator)

Genchain: 2-5-8-11-1-4-7-10-0-3-6-9-12-2-5-8-11, Cb-Eb-Gb-Ib-Bb-Db-Fb-Hb-A-C-E-G-I-B-D-F-H

5L 3s (8-step generator)

Genchain: 9-4-12-7-2-10-5-0-8-3-11-6-1-9-4, F#-C#-H#-E#-B#-G#-D#-A-F-C-H-E-B-G-D

Gamut: A B B# C D/C# D# E E# F G/F# G# H H#

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