408edo

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← 407edo408edo409edo →
Prime factorization 23 × 3 × 17
Step size 2.94118¢
Fifth 239\408 (702.941¢)
Semitones (A1:m2) 41:29 (120.6¢ : 85.29¢)
Sharp fifth 239\408 (702.941¢)
Flat fifth 238\408 (700¢) (→7\12)
Major 2nd 69\408 (202.941¢) (→23\136)
Consistency limit 3
Distinct consistency limit 3

408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for Argent Temperament, following after 169edo, 70edo, 29edo and 12edo. It's factors are 2^3, 3 & 17.

Approximation of prime intervals in 408 EDO
Prime number 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.00 +0.99 -1.02 -1.18 -1.32 +0.65 +0.93 -0.45 +1.14 -0.17 -0.92
relative (%) +0 +34 -35 -40 -45 +22 +32 -15 +39 -6 -31
Steps (reduced) 408 (0) 647 (239) 947 (131) 1145 (329) 1411 (187) 1510 (286) 1668 (36) 1733 (101) 1846 (214) 1982 (350) 2021 (389)