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

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=== 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

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=== 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

=== 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

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=== 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 ==

=== 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

=== 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

=== 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/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: 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 ==

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=== 6L 1s (2-step generator) ===

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

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) ===

@@ Line 23: / Line 23: @@
 === 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
@@ Line 30: / Line 30: @@
 === 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
 === 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
@@ Line 42: / Line 42: @@
 === 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 ==
 === 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
 === 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
 === 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/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: 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 ==
@@ Line 78: / Line 78: @@
 === 6L 1s (2-step generator) ===
-Genchain: 1-3-5-7-9-11-0-2-4-6-8-10-12, Bb-Cb-Db-Eb-Fb-Gb-A-B-C-D-E-F-G
+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) ===