7315edo: Difference between revisions

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{{EDO intro|7315}}
{{EDO intro|7315}}


== Theory ==
7315edo is [[consistent]] up to the [[27-odd-limit]]. 7315 = 11 × 665, and 7315edo shares its [[3/2|fifth]] with [[665edo]].  
This EDO is consistent up to the 27-odd-limit, which is rather impressive.  


=== Prime harmonics ===
{{Harmonics in equal|7315}}
{{Harmonics in equal|7315}}


=== Subsets and supersets ===
Since 7315 factors into {{factorization|7315}}, 7315edo contains subset edos 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, and 1463.


{{Stub}}
{{Stub}}

Revision as of 16:57, 20 August 2024

← 7314edo 7315edo 7316edo →
Prime factorization 5 × 7 × 11 × 19
Step size 0.164046 ¢ 
Fifth 4279\7315 (701.955 ¢) (→ 389\665)
Semitones (A1:m2) 693:550 (113.7 ¢ : 90.23 ¢)
Consistency limit 27
Distinct consistency limit 27

Template:EDO intro

7315edo is consistent up to the 27-odd-limit. 7315 = 11 × 665, and 7315edo shares its fifth with 665edo.

Prime harmonics

Approximation of prime harmonics in 7315edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0001 +0.0157 +0.0326 +0.0423 +0.0465 +0.0343 +0.0673 +0.0237 -0.0215 +0.0089
Relative (%) +0.0 -0.1 +9.6 +19.9 +25.8 +28.3 +20.9 +41.0 +14.4 -13.1 +5.4
Steps
(reduced)
7315
(0)
11594
(4279)
16985
(2355)
20536
(5906)
25306
(3361)
27069
(5124)
29900
(640)
31074
(1814)
33090
(3830)
35536
(6276)
36240
(6980)

Subsets and supersets

Since 7315 factors into 5 × 7 × 11 × 19, 7315edo contains subset edos 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, and 1463.

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