636edo: Difference between revisions

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=== Subsets and supersets ===
=== 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 }}.  
Since 636 factors into {{factorization|636}}, 636edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 53, 106, 159, 212, and 318 }}.  


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

Revision as of 13:04, 2 November 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 harmonic 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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