6L 16s: Difference between revisions
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It has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents). | |||
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Revision as of 05:26, 22 February 2024
| ↖ 5L 15s | ↑ 6L 15s | 7L 15s ↗ |
| ← 5L 16s | 6L 16s | 7L 16s → |
| ↙ 5L 17s | ↓ 6L 17s | 7L 17s ↘ |
Scale structure
sssLsssLssLsssLsssLssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
6L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 16 small steps, with a period of 3 large steps and 8 small steps that repeats every 600.0 ¢, or twice every octave. 6L 16s is a grandchild scale of 6L 4s, expanding it by 12 tones. Generators that produce this scale range from 381.8 ¢ to 400 ¢, or from 200 ¢ to 218.2 ¢. It has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).
| 4/22 | 218.182 | ||||
| 17/94 | 217.021 | ||||
| 13/72 | 216.667 | ||||
| 22/122 | 216.393 | ||||
| 9/50 | 216 | ||||
| 215.733 | |||||
| 23/128 | 215.625 | ||||
| 215.559 | |||||
| 14/78 | 215.385 | ||||
| 215.156 | |||||
| 19/106 | 215.094 | ||||
| 5/28 | 214.286 | ||||
| 16/90 | 213.333 | ||||
| 11/62 | 212.903 | ||||
| 212.615 | |||||
| 17/96 | 212.5 | ||||
| 212.38 | |||||
| 6/34 | 211.765 | ||||
| 211.478 | |||||
| 13/74 | 210.811 | ||||
| 7/40 | 210 | ||||
| 8/46 | 208.696 | ||||
| 1/6 | 200 |