1789edo: Difference between revisions

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Theory: 1789bd isn't a patent val, and thus can't be an optimal patent val
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Since the 5/4 of 1789edo is on the 576th step, a highly divisible number, 1789edo can replicate a lot of [[Ed5/4]] temperaments - more exactly those which are divisors of 576, and that includes all from [[2ed5/4]] to [[9ed5/4]], skipping [[7ed5/4]].
Since the 5/4 of 1789edo is on the 576th step, a highly divisible number, 1789edo can replicate a lot of [[Ed5/4]] temperaments - more exactly those which are divisors of 576, and that includes all from [[2ed5/4]] to [[9ed5/4]], skipping [[7ed5/4]].


On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]].  
On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]]. The 1789bd val in the 13-limit is better tuned than the patent val. It provides a tuning for the [[hemiluna]] temperament.
 
==== 1789bd val ====
1789bd val in the 13-limit is better tuned than the patent val. It provides the optimal patent val for the [[hemiluna]] temperament.


==== Tricesimoprimal miracloid ====
==== Tricesimoprimal miracloid ====