# 992edo

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Prime factorization
2
Step size
1.20968¢
Fifth
580\992 (701.613¢) (→145\248)
Semitones (A1:m2)
92:76 (111.3¢ : 91.94¢)
Consistency limit
7
Distinct consistency limit
7

← 991edo | 992edo | 993edo → |

^{5}× 31**992 equal divisions of the octave** (**992edo**), or **992-tone equal temperament** (**992tet**), **992 equal temperament** (**992et**) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 992 equal parts of about 1.21 ¢ each.

## Theory

992edo supports the windrose temperament in the 7-limit.

It is a decent 19-limit system, although it is no longer consistent in the 9-odd-limit due to 9/8 being 1 step off of two stacked 3/2s.

### Odd harmonics

Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | absolute (¢) | -0.342 | -0.427 | +0.126 | +0.525 | +0.295 | +0.198 | +0.441 | +0.287 | +0.068 | -0.216 | -0.452 |

relative (%) | -28 | -35 | +10 | +43 | +24 | +16 | +36 | +24 | +6 | -18 | -37 | |

Steps (reduced) |
1572 (580) |
2303 (319) |
2785 (801) |
3145 (169) |
3432 (456) |
3671 (695) |
3876 (900) |
4055 (87) |
4214 (246) |
4357 (389) |
4487 (519) |