250edo

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Revision as of 23:44, 23 January 2023 by Eliora (talk | contribs) (expanding a bit, divisors)
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← 249edo 250edo 251edo →
Prime factorization 2 × 53
Step size 4.8 ¢ 
Fifth 146\250 (700.8 ¢) (→ 73\125)
Semitones (A1:m2) 22:20 (105.6 ¢ : 96 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

250edo is enfactored in the 7-limit, with the same tuning as 125edo, but provides a closer approximation to the harmonics 11 and 13. Being a small multiple of 10edo, it equates 13/8 with 0.7 octaves. Even so, there are a number of mappings to be considered, in particular, a less flat-tending patent val 250 396 580 702 865 925] and a more flat-tending 250deff… val 250 396 580 701 864 924].

In addition, in the patent val in the 11-limit, it is a tuning for the seminar temperament.

Divisors

250edo has subset edos 1, 2, 5, 10, 25, 50, 125.

Odd harmonics

Approximation of odd harmonics in 250edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.16 -2.31 +0.77 -2.31 +0.68 -0.53 +1.33 +0.64 +0.09 -0.38 +0.53
Relative (%) -24.1 -48.2 +16.1 -48.1 +14.2 -11.0 +27.7 +13.4 +1.8 -7.9 +11.0
Steps
(reduced)
396
(146)
580
(80)
702
(202)
792
(42)
865
(115)
925
(175)
977
(227)
1022
(22)
1062
(62)
1098
(98)
1131
(131)