Below are listed temperaments of least TE complexity which result in a particular mos shape, where "results in" is taken to mean that the POTE tuning has that shape.
7edo
5-limit
7-limit patent
| Mos |
Temperament |
Comma list
|
| 1L 6s |
Hystrix |
36/35, 160/147
|
| 2L 5s |
Medusa |
15/14, 64/63
|
| 3L 4s |
Dichotic |
25/24, 64/63
|
| 4L 3s |
Dicot |
15/14, 25/24
|
| 5L 2s |
Dominant |
36/35, 64/63
|
| 6L 1s |
|
15/14, 256/245
|
7d
| Mos |
Temperament |
Comma list
|
| 1L 6s |
Oxygen |
21/20, 175/162
|
| 2L 5s |
Pelogic |
21/20, 135/128
|
| 3L 4s |
Sharpie |
25/24, 28/27
|
| 4L 3s |
Flattie |
21/20, 25/24
|
| 5L 2s |
Sharptone |
21/20, 28/27
|
| 6L 1s |
|
25/24, 49/45
|
8edo
5-limit
7-limit 8d
9edo
5-limit
| Mos |
Temperament |
Comma list
|
| 1L 8s |
Negri |
16875/16384
|
| 2L 7s |
Avila |
729/640
|
| 3L 6s |
Augmented |
128/125
|
| 4L 5s |
|
93312/78125
|
| 5L 4s |
Bug |
27/25
|
| 6L 3s |
|
19683/16000
|
| 7L 2s |
Mavila |
135/128
|
| 8L 1s |
Progression |
3456/3125
|
7-limit
| Mos |
Temperament |
Comma list
|
| 1L 8s |
Negri |
49/48, 225/224
|
| 2L 7s |
|
21/20, 243/224
|
| 3L 6s |
August |
36/35, 128/125
|
| 4L 5s |
|
36/35, 686/625
|
| 5L 4s |
Beep |
21/20, 27/25
|
| 6L 3s |
|
21/20, 729/686
|
| 7L 2s |
Pelogic |
21/20, 135/128
|
| 8L 1s |
Progression |
36/35, 392/375
|
10edo
5-limit
| Mos |
Temperament |
Comma list
|
| 1L 9s |
|
2500/2187
|
| 2L 8s |
Diaschismic |
2048/2025
|
| 3L 7s |
|
204800/177147
|
| 4L 6s |
|
6103515625/4353564672
|
| 5L 5s |
Blackwood |
256/243
|
| 6L 4s |
|
15625/13122
|
| 7L 3s |
Dicot |
25/24
|
| 8L 2s |
Supersharp |
800/729
|
| 9L 1s |
Negri |
16875/16384
|
7-limit
| Mos |
Temperament |
Comma list
|
| 1L 9s |
|
49/48, 175/162
|
| 2L 8s |
Pajara |
50/49, 64/63
|
| 3L 7s |
|
28/27, 2401/2400
|
| 4L 6s |
Decimal |
25/24, 49/48
|
| 5L 5s |
Blackwood |
28/27, 49/48
|
| 6L 4s |
|
50/49, 175/162
|
| 7L 3s |
Sharpie |
25/24, 28/27
|
| 8L 2s |
Octokaidecal |
28/27, 50/49
|
| 9L 1s |
Negri |
49/48, 225/224
|
11-limit
| Mos |
Temperament |
Comma list
|
| 1L 9s |
|
35/33, 49/48, 55/54
|
| 2L 8s |
|
28/27, 35/33, 128/121
|
| 3L 7s |
Dichosis |
25/24, 35/33, 64/63
|
| 4L 6s |
Decibel |
25/24, 35/33, 49/48
|
| 5L 5s |
Ferrum |
28/27, 35/33, 49/48
|
| 6L 4s |
|
35/33, 50/49, 55/54
|
| 7L 3s |
Sharpie |
25/24, 28/27, 35/33
|
| 8L 2s |
|
28/27, 35/33, 50/49
|
| 9L 1s |
Negri |
45/44, 49/48, 56/55
|
11edo
5-limit 11b
| Mos |
Temperament |
Comma list
|
| 1L 10s |
|
82944/78125
|
| 2L 9s |
|
8000/6561
|
| 3L 8s |
|
12582912/9765625
|
| 4L 7s |
Hanson |
15625/15552
|
| 5L 6s |
|
25600/19683
|
| 6L 5s |
|
2359296/1953125
|
| 7L 4s |
Sixix |
3125/2916
|
| 8L 3s |
|
81920/59049
|
| 9L 2s |
|
442368/390625
|
| 10L 1s |
|
2500/2187
|
5-limit 11c
| Mos |
Temperament |
Comma list
|
| 1L 10s |
Ripple |
6561/6250
|
| 2L 9s |
|
1215/1024
|
| 3L 8s |
|
1594323/1280000
|
| 4L 7s |
|
1953125/1889568
|
| 5L 6s |
Laconic |
2187/2000
|
| 6L 5s |
|
14348907/12500000
|
| 7L 4s |
|
1220703125/1088391168
|
| 8L 3s |
Sensipent |
78732/78125
|
| 9L 2s |
Avila |
729/640
|
| 10L 1s |
|
14946778125/8589934592
|