User:BudjarnLambeth/Draft related tunings section: Difference between revisions
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Stretching the octave of 36edo by a little over 3{{c}} results in improved primes 5, 11, and 13, but worse primes 2, 3, and 7. This approximates all primes up to 11 within ''12.0{{c}}''. The tuning 21edf does this. | Stretching the octave of 36edo by a little over 3{{c}} results in improved primes 5, 11, and 13, but worse primes 2, 3, and 7. This approximates all primes up to 11 within ''12.0{{c}}''. The tuning 21edf does this. | ||
; [[57edt]] | ; [[57edt]] | ||
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If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1{{c}} optimises 36edo for that dual-5 usage, while also making slight improvements to primes 3, 7, 11, and 13. This approximates all primes up to 11 within ''16.6{{c}}''. Four almost identical tunings do this: 57edt, [[101ed7]], [[zpi|155zpi]], and the [[WE|2.3.7.13 subgroup WE tuning of 36edo]]. | If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1{{c}} optimises 36edo for that dual-5 usage, while also making slight improvements to primes 3, 7, 11, and 13. This approximates all primes up to 11 within ''16.6{{c}}''. Four almost identical tunings do this: 57edt, [[101ed7]], [[zpi|155zpi]], and the [[WE|2.3.7.13 subgroup WE tuning of 36edo]]. | ||
; Pure-octaves 36edo | ; Pure-octaves 36edo | ||
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* Octave size: 1200.0{{c}} | * Octave size: 1200.0{{c}} | ||
Pure-octaves 36edo approximates all primes up to 11 within ''15.3{{c}}''. | Pure-octaves 36edo approximates all primes up to 11 within ''15.3{{c}}''. | ||
; [[WE|11-limit WE 36edo]] | ; [[WE|11-limit WE 36edo]] | ||