320edo: Difference between revisions
m Categories |
Cleanup and +prime error table |
||
| Line 1: | Line 1: | ||
The ''320 equal division'' divides the octave into 320 equal parts of precisely 3.75 | The '''320 equal division''' divides the [[octave]] into 320 [[equal]] parts of precisely 3.75 [[cent]]s each. | ||
It tempers out 65625/65536 (horwell) and 420175/419904 (wizma) in the 7-limit and [[441/440]], [[8019/8000]] and [[9801/9800]] in the 11-limit, and so supports the [[varuna]] temperament, the rank-3 temperament tempering out 441/440, 8019/8000 and 9801/9800, for which it provides the [[optimal patent val]]. It also provides the optimal patent val for the rank-4 werckismic temperament tempering out 441/440. It tempers out [[729/728]], [[1001/1000]], [[1575/1573]], [[4225/4224]] and [[6656/6655]] in the 13-limit, leading to further temperaments for which it provides the optimal patent val, such as tempering out 441/440 with 729/728, 1001/1000 or both, or with 8019/8000, leading to a rank-3 temperament. | |||
=== Prime harmonics === | |||
{{Primes in edo|320}} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Varuna]] | [[Category:Varuna]] | ||
[[Category:Werckismic]] | [[Category:Werckismic]] | ||
Revision as of 12:34, 28 December 2021
The 320 equal division divides the octave into 320 equal parts of precisely 3.75 cents each.
It tempers out 65625/65536 (horwell) and 420175/419904 (wizma) in the 7-limit and 441/440, 8019/8000 and 9801/9800 in the 11-limit, and so supports the varuna temperament, the rank-3 temperament tempering out 441/440, 8019/8000 and 9801/9800, for which it provides the optimal patent val. It also provides the optimal patent val for the rank-4 werckismic temperament tempering out 441/440. It tempers out 729/728, 1001/1000, 1575/1573, 4225/4224 and 6656/6655 in the 13-limit, leading to further temperaments for which it provides the optimal patent val, such as tempering out 441/440 with 729/728, 1001/1000 or both, or with 8019/8000, leading to a rank-3 temperament.
Prime harmonics
Script error: No such module "primes_in_edo".