6380edo

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← 6379edo6380edo6381edo →
Prime factorization 22 × 5 × 11 × 29
Step size 0.188088¢ 
Fifth 3732\6380 (701.944¢) (→933\1595)
Semitones (A1:m2) 604:480 (113.6¢ : 90.28¢)
Consistency limit 21
Distinct consistency limit 21

6380 equal divisions of the octave (abbreviated 6380edo or 6380ed2), also called 6380-tone equal temperament (6380tet) or 6380 equal temperament (6380et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 6380 equal parts of about 0.188 ¢ each. Each step represents a frequency ratio of 21/6380, or the 6380th root of 2.

As a very large edo, it's not really viable for acoustic instruments or being played in by hand in real time, but it is relatively composite and has quite a high consistency limit. It could be seen as a unit of detuning or pitch bend for working in a 29- or 58edo-centric environment.

Approximation of prime harmonics in 6380edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0114 +0.0186 +0.0142 -0.0327 +0.0366 -0.0024 +0.0418 -0.0612 +0.0153 +0.0428
Relative (%) +0.0 -6.1 +9.9 +7.6 -17.4 +19.5 -1.3 +22.2 -32.5 +8.1 +22.8
Steps
(reduced)
6380
(0)
10112
(3732)
14814
(2054)
17911
(5151)
22071
(2931)
23609
(4469)
26078
(558)
27102
(1582)
28860
(3340)
30994
(5474)
31608
(6088)