7315edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 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 (abbreviated 7315edo or 7315ed2), also called 7315-tone equal temperament (7315tet) or 7315 equal temperament (7315et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 7315 equal parts of about 0.164 ¢ each. Each step represents a frequency ratio of 21/7315, or the 7315th root of 2.

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 -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)


Icon-Stub.png This page is a stub. You can help the Xenharmonic Wiki by expanding it.