12500edo
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Prime factorization
22 × 55
Step size
0.096¢
Fifth
7312\12500 (701.952¢) (→1828\3125)
Semitones (A1:m2)
1184:940 (113.7¢ : 90.24¢)
Consistency limit
11
Distinct consistency limit
11
| ← 12499edo | 12500edo | 12501edo → |
12500 equal divisions of the octave (abbreviated 12500edo or 12500ed2), also called 12500-tone equal temperament (12500tet) or 12500 equal temperament (12500et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 12500 equal parts of exactly 0.096 ¢ each. Each step represents a frequency ratio of 21/12500, or the 12500th root of 2.
12500edo is contorted in the 7-limit, with the same tuning as 3125edo. It corrects 3125edo's 11-limit representation, unfortunately only to be consistent that far.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0030 | -0.0097 | +0.0061 | +0.0101 | -0.0477 | -0.0274 | -0.0090 | +0.0457 | +0.0228 | -0.0436 |
| Relative (%) | +0.0 | -3.1 | -10.1 | +6.3 | +10.5 | -49.6 | -28.6 | -9.4 | +47.6 | +23.8 | -45.4 | |
| Steps (reduced) |
12500 (0) |
19812 (7312) |
29024 (4024) |
35092 (10092) |
43243 (5743) |
46255 (8755) |
51093 (1093) |
53099 (3099) |
56545 (6545) |
60725 (10725) |
61927 (11927) | |