1337edo: Difference between revisions

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{{EDO intro|1337}}
{{EDO intro|1337}}


== Theory ==
In the 7-limit on the [[patent val]], 1337edo supports [[tertiaseptal]]. In the 11-limit on the patent val, it supports [[hemitert]].
 
=== Odd harmonics ===
{{Harmonics in equal|1337}}
{{Harmonics in equal|1337}}
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]].


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
=== Subsets and supersets ===
Since 1337 factors as 7 × 191, 1337edo contains [[7edo]] and [[191edo]] as its subsets.

Revision as of 08:09, 17 October 2023

← 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

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

Odd harmonics

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)

Subsets and supersets

Since 1337 factors as 7 × 191, 1337edo contains 7edo and 191edo as its subsets.