286edo

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← 285edo286edo287edo →
Prime factorization 2 × 11 × 13
Step size 4.1958¢ 
Fifth 167\286 (700.699¢)
Semitones (A1:m2) 25:23 (104.9¢ : 96.5¢)
Consistency limit 7
Distinct consistency limit 7

286 equal divisions of the octave (abbreviated 286edo or 286ed2), also called 286-tone equal temperament (286tet) or 286 equal temperament (286et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 286 equal parts of about 4.2 ¢ each. Each step represents a frequency ratio of 21/286, or the 286th root of 2.}

Odd harmonics

Approximation of odd harmonics in 286edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) -1.26 -0.30 +0.40 +1.68 -1.67 -1.37 -1.56 -0.06 +0.39 -0.85 +1.10
relative (%) -30 -7 +10 +40 -40 -33 -37 -1 +9 -20 +26
Steps
(reduced)
453
(167)
664
(92)
803
(231)
907
(49)
989
(131)
1058
(200)
1117
(259)
1169
(25)
1215
(71)
1256
(112)
1294
(150)


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