259edo

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← 258edo259edo260edo →
Prime factorization 7 × 37
Step size 4.6332¢
Fifth 152\259 (704.247¢)
Semitones (A1:m2) 28:17 (129.7¢ : 78.76¢)
Dual sharp fifth 152\259 (704.247¢)
Dual flat fifth 151\259 (699.614¢)
Dual major 2nd 44\259 (203.861¢)
Consistency limit 3
Distinct consistency limit 3

259 equal divisions of the octave (abbreviated 259edo), or 259-tone equal temperament (259tet), 259 equal temperament (259et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 259 equal parts of about 4.63 ¢ each. Each step of 259edo represents a frequency ratio of 21/259, or the 259th root of 2.

Theory

Approximation of odd harmonics in 259edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +2.29 -1.76 -0.49 -0.05 +0.03 -1.92 +0.53 +1.61 -0.99 +1.81 +1.84
relative (%) +49 -38 -10 -1 +1 -41 +12 +35 -21 +39 +40
Steps
(reduced)
411
(152)
601
(83)
727
(209)
821
(44)
896
(119)
958
(181)
1012
(235)
1059
(23)
1100
(64)
1138
(102)
1172
(136)


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