12000edo
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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
| ← 11999edo | 12000edo | 12001edo → |
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 0.1 ¢ each. Each step represents a frequency ratio of 21/12000, or the 12000th root of 2.
Odd harmonics
| 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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