11edo modes

Revision as of 04:03, 16 June 2020 by Inthar (talk | contribs) (temperament names are more helpful (might add color names later))

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 C#v 15/14, 16/15, 17/16, 18/17 -2
3 218.18 D 8/7, 9/8, 17/15 -4
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
7 763.63 Ab 11/7, 14/9, 17/11 -3
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