User:Moremajorthanmajor/9edX
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This is the neutral scale of the Middletown temperament family. It also gives the period of the 9th-decade White Oak temperament family.
Intervals
| Decade | Period | Notes |
|---|---|---|
| 6\5 | 160.000 | Intense Aeolian-Subpental Dorian mode begins |
| 17\14 | 161.905 | |
| 11\9 | 162.962 | Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins |
| 27\22 | 163.63 | |
| 16\13 | 164.103 | |
| 21\17 | 164.706 | |
| 26\21 | 165.079 | |
| 5\4 | 166.6 | Subpental Dorian mode ends, Pental Dorian mode begins |
| 34\27 | 167.901 | |
| 29\23 | 168.116 | |
| 24\19 | 168.421 | |
| 19\15 | 168.8 | |
| 14\11 | 169.69 | Pental Dorian mode ends, Superpental Dorian mode begins |
| 23\18 | 170.370 | |
| 9\7 | 171.429 | Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins |
| 31\24 | 172.2 | |
| 22\17 | 172.549 | Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins |
| 35\27 | 172.840 | |
| 13\10 | 173.3 | Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins |
| 17\13 | 174.358 | |
| 21\16 | 175.000 | Subpental Mixolydian mode ends, Pental Mixolydian mode begins |
| 25\19 | 175.439 | |
| 29\22 | 175.75 | |
| 33\25 | 176.000 | |
| 4\3 | 177.7 | Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins |
| 51\38 | 178.947 | |
| 47\35 | 179.048 | |
| 43\32 | 179.16 | |
| 39\29 | 179.310 | |
| 35\26 | 179.417 | |
| 31\23 | 179.710 | |
| 27\20 | 180.000 | |
| 23\17 | 180.392 | |
| 19\14 | 180.952 | |
| 15\11 | 181.81 | Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins |
| 26\19 | 182.456 | |
| 11\8 | 183.3 | Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins |
| 18\13 | 184.615 | |
| 25\18 | 185.185 | |
| 7\5 | 186.6 | Mixolydian-Ionian mode ends |
Relative cents
| Degrees | Intense Aeolian-Subpental Dorian | Dorian | Dorian-Mixolydian | Subpental-Soft Superpental Mixolydian | Intense Superpental Mixolydian ~ Mixolydian-Ionian |
|---|---|---|---|---|---|
| 1 | 161.1 | 166.6 | 172.2 | 177.7 | 183.3 |
| 2 | 322.2 | 333.3 | 344.4 | 355.5 | 366.6 |
| 3 | 483.3 | 500 | 516.6 | 533.3 | 550 |
| 4 | 644.4 | 666.6 | 688.8 | 711.1 | 733.3 |
| 5 | 805.5 | 833.3 | 861.1 | 888.8 | 916.6 |
| 6 | 966.6 | 1000 | 1033.3 | 1066.6 | 1100 |
| 7 | 1127.7 | 1166.6 | 1205.5 | 1244.4 | 1283.3 |
| 8 | 1288.8 | 1333.3 | 1377.7 | 1422.2 | 1466.6 |
By a surprising coincidence, the 9ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every fifth degree of 34edo. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of 22edo, 4edf and equal multiples of 10/9 respectively.