12000edo

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← 11999edo12000edo12001edo →
Prime factorization 25 × 3 × 53
Step size 0.1¢
Fifth 7020\12000 (702¢) (→117\200)
Semitones (A1:m2) 1140:900 (114¢ : 90¢)
Dual sharp fifth 7020\12000 (702¢) (→117\200)
Dual flat fifth 7019\12000 (701.9¢)
Dual major 2nd 2039\12000 (203.9¢)
Consistency limit 3
Distinct consistency limit 3

12000 equal divisions of the octave (abbreviated 12000edo or 12000ed2), also called 12000-tone equal temperament (12000tet) or 12000 equal temperament (12000et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 12000 equal parts of exactly 0.100 ¢ each. Each step represents a frequency ratio of 21/12000, or the 12000th root of 2.

Odd harmonics

Approximation of odd harmonics in 12000edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +0.0450 -0.0137 -0.0259 -0.0100 -0.0179 -0.0277 +0.0313 +0.0446 -0.0130 +0.0191 +0.0257
relative (%) +45 -14 -26 -10 -18 -28 +31 +45 -13 +19 +26
Steps
(reduced)
19020
(7020)
27863
(3863)
33688
(9688)
38039
(2039)
41513
(5513)
44405
(8405)
46883
(10883)
49050
(1050)
50975
(2975)
52708
(4708)
54283
(6283)


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