User:BudjarnLambeth/Draft related tunings section: Difference between revisions
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; 36ed513/256 | ; 36ed513/256 | ||
Stretching the octave of 36edo by about 3.5 cents results in much improved primes 5 and 11, but a much worse prime 7. This approximates all primes up to 11 within ''12 cents''. | Stretching the octave of 36edo by about 3.5 cents results in much improved primes 5 and 11, but a much worse prime 7. This approximates all primes up to 11 within ''12 cents''. The tuning 36ed513/256 does this. | ||
; [[57edt]] / | ; [[57edt]] / 101[[ed7]] / 155[[zpi]] / 2.3.7.13 [[WE]]-tuned 36edo | ||
If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1 cent 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 ''17 cents''. | If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1 cent 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 ''17 cents''. Four almost identical tunings do this: 57edt, 101ed7, 155zpi, and the 2.3.7.13 subgroup WE tuning of 36edo. | ||
; Pure-octaves 36edo | ; Pure-octaves 36edo | ||
Pure-octaves 36edo approximates all primes up to 11 within ''16 cents''. | Pure-octaves 36edo approximates all primes up to 11 within ''16 cents''. | ||
; 11-limit WE 36edo | ; 11-limit WE 36edo / 13-limit WE 36edo | ||
Compressing the octave of 36edo by about 2 cents results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within ''10 cents''. | Compressing the octave of 36edo by about 2 cents results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within ''10 cents''. The 11- and 13-limit WE tunings of 36edo both do this, as do their respective [[TE]] tunings. | ||