280edo

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← 279edo280edo281edo →
Prime factorization 23 × 5 × 7
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

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 11 is improved over 140edo, tempering out 3025/3024.

Prime harmonics

Approximation of prime harmonics in 280edo
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 23 × 5 × 7, it has subset edos 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, and 140.