262edo

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← 261edo 262edo 263edo →
Prime factorization 2 × 131
Step size 4.58015 ¢ 
Fifth 153\262 (700.763 ¢)
Semitones (A1:m2) 23:21 (105.3 ¢ : 96.18 ¢)
Consistency limit 5
Distinct consistency limit 5

262 equal divisions of the octave (abbreviated 262edo or 262ed2), also called 262-tone equal temperament (262tet) or 262 equal temperament (262et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 262 equal parts of about 4.58 ¢ each. Each step represents a frequency ratio of 21/262, or the 262nd root of 2.

It is part of the optimal ET sequence for the baladic, ekadash, oolong, portannic, portentous, trismegistus, valentine, and van gogh temperaments.

Odd harmonics

Approximation of odd harmonics in 262edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.19 -1.58 +2.17 +2.20 -1.70 +2.22 +1.81 +0.39 +0.20 +0.97 -0.79
Relative (%) -26.0 -34.5 +47.3 +48.0 -37.1 +48.5 +39.5 +8.5 +4.3 +21.3 -17.3
Steps
(reduced)
415
(153)
608
(84)
736
(212)
831
(45)
906
(120)
970
(184)
1024
(238)
1071
(23)
1113
(65)
1151
(103)
1185
(137)


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