# 280edo

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Prime factorization
2
Step size
4.28571¢
Fifth
164\280 (702.857¢) (→41\70)
Semitones (A1:m2)
28:20 (120¢ : 85.71¢)
Consistency limit
7
Distinct consistency limit
7

← 279edo | 280edo | 281edo → |

^{3}× 5 × 7**280 equal divisions of the octave** (**280edo**), or **280-tone equal temperament** (**280tet**), **280 equal temperament** (**280et**) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 280 equal parts of about 4.29 ¢ each.

280edo is enfactored in the 7-limit, with the same tuning as 140edo. It has a consistency limit of only 7. The approximation of 11 is improved over 140edo, tempering out 3025/3024. It supplies the optimal patent val for 13-limit enki, the rank-3 temperament tempering out 325/324, 364/363 and 625/624.

### Prime harmonics

Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | absolute (¢) | +0.00 | +0.90 | -0.60 | -0.25 | +1.54 | -0.53 | -2.10 | -1.80 | +1.73 | -1.01 | -0.75 |

relative (%) | +0 | +21 | -14 | -6 | +36 | -12 | -49 | -42 | +40 | -23 | -17 | |

Steps (reduced) |
280 (0) |
444 (164) |
650 (90) |
786 (226) |
969 (129) |
1036 (196) |
1144 (24) |
1189 (69) |
1267 (147) |
1360 (240) |
1387 (267) |

### Divisors

Since 280 factors into 2^{3} × 5 × 7, it has subset edos 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, and 140.