Mintaka: Difference between revisions
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| MOS scales = [[2L 3s (3/1-equivalent)|2L 3s]], [[5L 2s (3/1-equivalent)|5L 2s]], [[5L 7s (3/1-equivalent)|5L 7s]], [[5L 12s (3/1-equivalent)|5L 12s]], [[17L 5s (3/1-equivalent)|17L 5s]] | | MOS scales = [[2L 3s (3/1-equivalent)|2L 3s]], [[5L 2s (3/1-equivalent)|5L 2s]], [[5L 7s (3/1-equivalent)|5L 7s]], [[5L 12s (3/1-equivalent)|5L 12s]], [[17L 5s (3/1-equivalent)|17L 5s]] | ||
| Mapping = 1; 6 -3 -2 13 | | Mapping = 1; 6 -3 -2 13 | ||
| Odd limit 1 = 11 | Mistuning 1 = ??? | Complexity 1 = | | Odd limit 1 = 11 | Mistuning 1 = ??? | Complexity 1 = 22 | ||
| Odd limit 2 = (13-limited) 25 | Mistuning 2 = ??? | Complexity 2 = | | Odd limit 2 = (13-limited) 25 | Mistuning 2 = ??? | Complexity 2 = 39 | ||
}} | }} | ||
For tunings of the generator that possess a sharp 9/7 (sharper than 1/3 comma), it is reasonable to combine this temperament with [[BPS]] (as well as [[Deneb]] in the 3.5.11 subgroup), and additionally temper out [[245/243]], thereby equating [[5/3]] to 81/49 at 6 generators up. This is ''Mintra'' temperament, which splits the BPS generator in three. In this range, the "canonical" extension to prime 13 makes sense, though it is worth noting that the Minalzidar extension corresponds directly to the 3.5.7.13 extension of BPS. This extension then is equivalent to tempering out [[275/273]] and equating [[13/11]] to [[25/21]]. | For tunings of the generator that possess a sharp 9/7 (sharper than 1/3 comma), it is reasonable to combine this temperament with [[BPS]] (as well as [[Deneb]] in the 3.5.11 subgroup), and additionally temper out [[245/243]], thereby equating [[5/3]] to 81/49 at 6 generators up. This is ''Mintra'' temperament, which splits the BPS generator in three. In this range, the "canonical" extension to prime 13 makes sense, though it is worth noting that the Minalzidar extension corresponds directly to the 3.5.7.13 extension of BPS. This extension then is equivalent to tempering out [[275/273]] and equating [[13/11]] to [[25/21]]. | ||