User:Contribution/Exploring Selected Modes in 22-EDO
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Mapping
sharpness = 3
L = 4 ; s = 1
| Degree | Notation | Approximate Ratios | Approximate Ratios | Notation | Degree |
|---|---|---|---|---|---|
| 0 | P1 | 1/1 | 2/1 | P8 | 22 |
| 1 | m2 | M7 | 21 | ||
| 2 | ↑m2 | 16/15, 15/14 | 28/15, 15/8 | ↓M7 | 20 |
| 3 | ↓M2 | 12/11, 11/10, 10/9 | 9/5, 20/11, 11/6 | ↑m7 | 19 |
| 4 | M2 | 9/8, 8/7 | 7/4, 16/9 | m7 | 18 |
| 5 | m3 | 7/6 | 12/7 | M6 | 17 |
| 6 | ↑m3 | 6/5, 11/9 | 18/11, 5/3 | ↓M6 | 16 |
| 7 | ↓M3 | 5/4 | 8/5 | ↑m6 | 15 |
| 8 | M3 | 14/11, 9/7 | 14/9, 11/7 | m6 | 14 |
| 9 | P4 | 4/3 | 3/2 | P5 | 13 |
| 10 | ↑P4 | 15/11, 11/8 | 16/11, 22/15 | ↓P5 | 12 |
| 11 | ↓A4 | 7/5, 10/7 | ↑d5 | 11 | |
Rank-2 5-limit temperaments
| Periods
per 8ve |
Generator | Temperaments | 5-limit commas |
|---|---|---|---|
| 1 | 1\22 | Chromo Escapade |
1220703125/1146617856 4294967296/4271484375 |
| 1 | 3\22 | Porcupine | 250/243 |
| 1 | 5\22 | Orson | 2109375/2097152 |
| 1 | 7\22 | Magic | 3125/3072 |
| 1 | 9\22 | Superpyth | 20480/19683 |
| 2 | 1\22 | Comic | 5120000/4782969 |
| 2 | 2\22 | Diaschismic | 2048/2025 |
| 2 | 3\22 | Kwazy | 9010162353515625/9007199254740992 |
| 2 | 4\22 | Wizard | 2197265625/2147483648 |
| 2 | 5\22 | Doublewide | 390625/373248 |
| 11 | 1\22 | Undekapent | 48828125/45349632 |
MOS Modes
| Period | Generator | Necklace | Proposed Name |
|---|---|---|---|
| 22\22 | 3\22 | 3 3 3 3 1 3 3 3 | Porcupine[8]@22edo |
| 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | Porcupine[15]@22edo | ||
| 22\22 | 5\22 | 2 3 2 3 2 3 2 3 2 | Orson[9]@22edo |
| 2 1 2 1 2 1 2 2 1 2 1 2 1 2 | Orson[13]@22edo | ||
| 22\22 | 7\22 | 1 5 1 1 5 1 1 1 5 1 | Magic[10]@22edo |
| 1 1 4 1 1 1 4 1 1 1 4 1 1 | Magic[13]@22edo | ||
| 1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1 | Magic[16]@22edo | ||
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 | Magic[19]@22edo | ||
| 22\22 | 9\22 | 1 3 1 3 1 3 1 1 3 1 3 1 | Superpyth[12]@22edo |
| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 | Superpyth[17]@22edo | ||
| 11\22 | 2\22 | 2 2 2 1 2 2 2 2 2 1 2 2 | Diaschismic[12]@22edo |
| 11\22 | 3\22 | 3 3 2 3 3 3 2 3 | Kwazy[8]@22edo |
| 2 1 2 1 2 1 2 2 1 2 1 2 1 2 | Kwazy[14]@22edo | ||
| 11\22 | 4\22 | 3 1 3 1 3 3 1 3 1 3 | Wizard[10]@22edo |
| 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 | Wizard[16]@22edo | ||
| 11\22 | 5\22 | 1 4 1 4 1 1 4 1 4 1 | Doublewide[10]@22edo |
| 1 3 1 1 1 3 1 1 3 1 1 1 3 1 | Doublewide[14]@22edo | ||
| 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 | Doublewide[18]@22edo | ||
| 2\22 | 2\22 | 2 2 2 2 2 2 2 2 2 2 2 | 11edo |
| 1\22 | 1\22 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | 22edo |
Non-MOS modes
| Necklace | Proposed Name |
|---|---|
| 2 2 2 1 2 2 2 2 1 2 2 2 | Hexachordal[12]@22edo |