252edo

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← 251edo252edo253edo →
Prime factorization 22 × 32 × 7
Step size 4.7619¢ 
Fifth 147\252 (700¢) (→7\12)
Semitones (A1:m2) 21:21 (100¢ : 100¢)
Dual sharp fifth 148\252 (704.762¢) (→37\63)
Dual flat fifth 147\252 (700¢) (→7\12)
Dual major 2nd 43\252 (204.762¢)
Consistency limit 7
Distinct consistency limit 7

252 equal divisions of the octave (abbreviated 252edo or 252ed2), also called 252-tone equal temperament (252tet) or 252 equal temperament (252et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 252 equal parts of about 4.76 ¢ each. Each step represents a frequency ratio of 21/252, or the 252nd root of 2.

Odd harmonics

Approximation of odd harmonics in 252edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.96 -0.60 -2.16 +0.85 +1.06 +2.33 +2.21 -0.19 -2.27 +0.65 +0.30
Relative (%) -41.1 -12.6 -45.3 +17.9 +22.3 +48.9 +46.4 -4.1 -47.8 +13.6 +6.2
Steps
(reduced)
399
(147)
585
(81)
707
(203)
799
(43)
872
(116)
933
(177)
985
(229)
1030
(22)
1070
(62)
1107
(99)
1140
(132)


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