# 6380edo

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Prime factorization
2
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 → |

^{2}× 5 × 11 × 29**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 2^{1/6380}, 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) |