12500edo

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← 12499edo12500edo12501edo →
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

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.

Approximation of prime harmonics in 12500edo
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)