1337edo: Difference between revisions

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Revision as of 05:13, 9 July 2023

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← 1336edo 1337edo 1338edo →
Prime factorization 7 × 191
Step size 0.897532 ¢ 
Fifth 782\1337 (701.87 ¢)
Semitones (A1:m2) 126:101 (113.1 ¢ : 90.65 ¢)
Consistency limit 13
Distinct consistency limit 13

Template:EDO intro

Theory

Approximation of odd harmonics in 1337edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.085 -0.375 -0.389 -0.170 -0.233 -0.438 +0.437 +0.056 -0.430 +0.423 -0.002
Relative (%) -9.5 -41.8 -43.4 -19.0 -26.0 -48.8 +48.7 +6.2 -47.9 +47.2 -0.2
Steps
(reduced)
2119
(782)
3104
(430)
3753
(1079)
4238
(227)
4625
(614)
4947
(936)
5224
(1213)
5465
(117)
5679
(331)
5873
(525)
6048
(700)

1337 factors as 7 * 191.

In the 7-limit on the patent val, 1337edo supports tertiaseptal. In the 11-limit on the patent val, it supports hemitert.