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 5320-tone equal temperament (5320tet), 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 of 5320edo 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 +34 -13 -18 -34 -30 +3 -35 -46 -32
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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