6380edo
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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
| ← 6379edo | 6380edo | 6381edo → |
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.
| 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) | |