241200edo
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Prime factorization
24 × 32 × 52 × 67
Step size
0.00497512¢
Fifth
141093\241200 (701.955¢) (→15677\26800)
Semitones (A1:m2)
22851:18135 (113.7¢ : 90.22¢)
Consistency limit
39
Distinct consistency limit
39
Special properties
| ← 241199edo | 241200edo | 241201edo → |
241200 equal divisions of the octave (abbreviated 241200edo or 241200ed2), also called 241200-tone equal temperament (241200tet) or 241200 equal temperament (241200et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 241200 equal parts of about 0.00498 ¢ each. Each step represents a frequency ratio of 21/241200, or the 241200th root of 2.
241200edo is the 60th zeta peak edo and the first one that 1200 divides, making it compatible with cents. It is also a zeta peak integer edo. It is a strong 37-limit system, distinctly consistent in the 39-odd-limit, with a lower 37-limit relative error than any previous equal temperaments.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.00000 | +0.00022 | -0.00028 | -0.00004 | +0.00047 | -0.00030 | -0.00019 | -0.00058 | -0.00072 | -0.00008 | -0.00075 | -0.00076 | +0.00227 | -0.00029 | +0.00084 |
| relative (%) | +0 | +4 | -6 | -1 | +9 | -6 | -4 | -12 | -14 | -2 | -15 | -15 | +46 | -6 | +17 | |
| Steps (reduced) |
241200 (0) |
382293 (141093) |
560049 (77649) |
677134 (194734) |
834415 (110815) |
892546 (168946) |
985896 (21096) |
1024600 (59800) |
1091083 (126283) |
1171745 (206945) |
1194952 (230152) |
1256520 (50520) |
1292242 (86242) |
1308815 (102815) |
1339767 (133767) | |