290edo

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← 289edo290edo291edo →
Prime factorization 2 × 5 × 29
Step size 4.13793¢
Fifth 170\290 (703.448¢) (→17\29)
Semitones (A1:m2) 30:20 (124.1¢ : 82.76¢)
Dual sharp fifth 170\290 (703.448¢) (→17\29)
Dual flat fifth 169\290 (699.31¢)
Dual major 2nd 49\290 (202.759¢)
Consistency limit 3
Distinct consistency limit 3

290 equal divisions of the octave (abbreviated 290edo), or 290-tone equal temperament (290tet), 290 equal temperament (290et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 290 equal parts of about 4.14 ¢ each. Each step of 290edo represents a frequency ratio of 21/290, or the 290th root of 2.

Theory

Approximation of odd harmonics in 290edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +1.49 -1.49 -0.55 -1.15 -0.97 -0.53 +0.01 -1.51 +0.42 +0.94 +0.69
relative (%) +36 -36 -13 -28 -24 -13 +0 -36 +10 +23 +17
Steps
(reduced)
460
(170)
673
(93)
814
(234)
919
(49)
1003
(133)
1073
(203)
1133
(263)
1185
(25)
1232
(72)
1274
(114)
1312
(152)


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