User:FloraC/Temperament extension issues: Difference between revisions
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→Rank-2 temperaments: add details |
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; Keemun | ; Keemun | ||
: 11-limit → 13-limit | : 11-limit → 13-limit | ||
: 13-limit keemun should be decanonicalized. Kema, which maps prime 13 to +14 steps, is the right extension to use, as in all kleismic temperaments. | : 13-limit keemun should be decanonicalized. Kema, which maps prime 13 to +14 steps, is the right extension to use, as in all kleismic temperaments. Its edo join is 15 & 19, while the current canonical 13-limit extension is 15f & 19, and 15 is better than 15f. Kema is additionally supported by patent 34, while the current canonical extension uses the much less accurate 34f. The mapping of prime 13 to -5 generators is inaccurate and in the opposite direction compared to primes 3, 5, and 7, making other intervals of 13 more complex. | ||
: Proposed solution: | : Proposed solution: | ||