7315edo

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← 7314edo7315edo7316edo →
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

7315 equal divisions of the octave (7315edo), or 7315-tone equal temperament (7315tet), 7315 equal temperament (7315et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 7315 equal parts of about 0.164 ¢ each.

Theory

This EDO is consistent up to the 27-odd-limit, which is rather impressive.


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 +10 +20 +26 +28 +21 +41 +14 -13 +5
Steps
(reduced)
7315
(0)
11594
(4279)
16985
(2355)
20536
(5906)
25306
(3361)
27069
(5124)
29900
(640)
31074
(1814)
33090
(3830)
35536
(6276)
36240
(6980)