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 (harmonics in bold):
| 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 (harmonics in bold):
| Degree (1 = tonic)
|
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
|
Assuming the symmetric 2121212 mode, the 1-4-7 chord is:
- 8:11:14 on degrees 1 and 6
- 8:11:15 on degrees 3, 5, and 7
- 17:22:30 or 25:32:44 on degrees 2 and 4
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 LssssLsss mode (harmonics in bold):
| 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
|
+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
|
| 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
|