5320edo

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← 5319edo5320edo5321edo →
Prime factorization 23 × 5 × 7 × 19
Step size 0.225564¢ 
Fifth 3112\5320 (701.955¢) (→389\665)
Semitones (A1:m2) 504:400 (113.7¢ : 90.23¢)
Consistency limit 9
Distinct consistency limit 9

5320 equal divisions of the octave (abbreviated 5320edo or 5320ed2), also called 5320-tone equal temperament (5320tet) or 5320 equal temperament (5320et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 5320 equal parts of about 0.226 ¢ each. Each step represents a frequency ratio of 21/5320, or the 5320th root of 2.

Theory

This EDO has a consistency limit of 9.


Approximation of prime harmonics in 5320edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0001 +0.0773 -0.0289 -0.0397 -0.0765 -0.0682 +0.0058 -0.0789 -0.1035 -0.0732
Relative (%) +0.0 -0.1 +34.3 -12.8 -17.6 -33.9 -30.2 +2.6 -35.0 -45.9 -32.4
Steps
(reduced)
5320
(0)
8432
(3112)
12353
(1713)
14935
(4295)
18404
(2444)
19686
(3726)
21745
(465)
22599
(1319)
24065
(2785)
25844
(4564)
26356
(5076)


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