11edo modes

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Revision as of 04:29, 16 June 2020 by Inthar (talk | contribs) (Joan nonatonic (MOS 2L+7s, generator: 5\11): Joan (11&31) actually has a less complex mapping for 9)
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Some modes of 11edo. Available, of course, in 22edo, 33edo, 44edo, etc. Add your very favourite ones here!

Machine hexatonic (MOS 5L+1s, generator: 2\11)

2 2 2 2 2 1
2 2 2 2 1 2
2 2 2 1 2 2
2 2 1 2 2 2
2 1 2 2 2 2
1 2 2 2 2 2

The intervals of the LLsLLL mode:

Degree Cents Note name on C (22edo notation) Approximate ratios #Gens up
1 0 C 1/1 0
2 218.18 D 8/7, 9/8, 17/15 +1
3 436.36 E 9/7, 14/11, 22/17 +2
4 545.45 Gb 11/8, 15/11 -3
5 763.63 Ab 11/7, 14/9, 17/11 -2
6 981.81 Bb 7/4, 16/9, 30/17 -1

Orgone heptatonic (MOS 4L+3s, generator: 3\11)

2 1 2 1 2 1 2
1 2 1 2 1 2 2
2 1 2 1 2 2 1
1 2 1 2 2 1 2
2 1 2 2 1 2 1
1 2 2 1 2 1 2
2 2 1 2 1 2 1


The intervals of the symmetric LsLsLsL mode:

Degree Cents Note name on C (22edo notation) Approximate ratios #Gens up
1 0 C 1/1 0
2 218.18 D 8/7, 9/8, 17/15 -3
3 327.27 Eb^ 6/5, 11/9, 17/14 +1
4 545.45 F^ 11/8, 15/11 -2
5 654.54 Gv 16/11, 22/15 +2
6 872.72 Av 5/3, 18/11, 28/17 -1
7 981.81 Bb 7/4, 16/9, 30/17 +3

Joan pentatonic (MOS 2L+3s, generator: 5\11)

1 4 1 4 1
4 1 4 1 1
1 4 1 1 4
4 1 1 4 1
1 1 4 1 4

Joan heptatonic (MOS 2L+5s, generator: 5\11)

1 1 1 3 1 1 3
1 1 3 1 1 3 1
1 3 1 1 3 1 1
3 1 1 3 1 1 1
1 1 3 1 1 1 3
1 3 1 1 1 3 1
3 1 1 1 3 1 1


Joan nonatonic (MOS 2L+7s, generator: 5\11)

1 1 1 2 1 1 1 2 1
1 1 2 1 1 1 2 1 1
1 2 1 1 1 2 1 1 1
2 1 1 1 2 1 1 1 1
1 1 1 2 1 1 1 1 2
1 1 2 1 1 1 1 2 1
1 2 1 1 1 1 2 1 1
2 1 1 1 1 2 1 1 1
1 1 1 1 2 1 1 1 2

The intervals of the ssLsssLss mode:

Degree Cents Note name on C (22edo notation) Approximate ratios #Gens up
1 0 C 1/1 0
2 109.09 D 8/7, 9/8, 17/15 +7
3 327.27 Eb^ 6/5, 11/9, 17/14 +5
4 436.36 E 9/7, 14/11, 22/17 +3
5 545.45 F^ 11/8, 15/11 +1
6 654.54 Gv 16/11, 22/15 -1
7 872.73 Av 5/3, 18/11, 28/17 +6
8 981.81 Bb 7/4, 16/9, 30/17 +4
9 1090.90 Bv 15/8, 17/9, 28/15, 32/17 +2

Swooning Rushes (MOS Cradle)

2 3 1 3 2
3 1 3 2 2
1 3 2 2 3
3 2 2 3 1
2 2 3 1 3