742edo: Difference between revisions
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{{Infobox ET | |||
| Prime factorization = 2 × 7 × 53 | |||
| Step size = 1.61725¢ | |||
| Fifth = 434\742 (701.886¢) (→ [[53edo|31\53]]) | |||
| Semitones = 70:56 (113.2¢ : 90.6¢) | |||
| Consistency = 21 | |||
}} | |||
{{EDO intro|742}} | {{EDO intro|742}} | ||
Revision as of 17:16, 28 August 2022
| ← 741edo | 742edo | 743edo → |
Theory
742edo is a very strong 19-limit system and a zeta peak tuning, and is uniquely consistent in the 21-odd-limit. It has a lower 19-limit relative error than any edo until 1178. It tempers out 2401/2400 in the 7-limit, 9801/9800 in the 11-limit, 4096/4095, 6656/6655, 10648/10647 in the 13-limit, 1701/1700, 2058/2057, 2601/2600, 4914/4913, 5832/5831 in the 17-limit, 2376/2375, 2432/2431, 2926/2925, 3136/3135, 4200/4199, 5776/5775, 5929/5928, 5985/5984, 6860/6859 in the 19-limit.
742 = 2 × 7 × 53, so it notably contains 53edo and 14edo.
Prime harmonics
Script error: No such module "primes_in_edo".