636edo: Difference between revisions

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== Theory ==
== Theory ==
636 = 12 × 53, and 636edo shares the excellent [[3/1|harmonics 3]] with [[53edo]].
=== Odd harmonics ===
{{Harmonics in equal|636}}
{{Harmonics in equal|636}}
=== Subsets and supersets ===
Since 636 factors into 2<sup>2</sup> × 3 × 53, 636edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 53, 106, 159, 212, and 318 }}.


== Intervals ==
== Intervals ==
{{Interval table}}
{{Interval table}}
{{Stub}}

Revision as of 07:43, 25 October 2023

← 635edo 636edo 637edo →
Prime factorization 22 × 3 × 53
Step size 1.88679 ¢ 
Fifth 372\636 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 60:48 (113.2 ¢ : 90.57 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

Theory

636 = 12 × 53, and 636edo shares the excellent harmonics 3 with 53edo.

Odd harmonics

Approximation of odd harmonics in 636edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.068 +0.479 -0.901 -0.136 -0.375 -0.905 +0.411 +0.705 +0.600 +0.917 +0.028
Relative (%) -3.6 +25.4 -47.8 -7.2 -19.9 -48.0 +21.8 +37.4 +31.8 +48.6 +1.5
Steps
(reduced)
1008
(372)
1477
(205)
1785
(513)
2016
(108)
2200
(292)
2353
(445)
2485
(577)
2600
(56)
2702
(158)
2794
(250)
2877
(333)

Subsets and supersets

Since 636 factors into 22 × 3 × 53, 636edo has subset edos 2, 3, 4, 6, 12, 53, 106, 159, 212, and 318.

Intervals

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