111202edo
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Prime factorization
2 × 7 × 132 × 47
Step size
0.0107912¢
Fifth
65049\111202 (701.955¢)
(convergent)
Semitones (A1:m2)
10535:8361 (113.7¢ : 90.22¢)
Consistency limit
9
Distinct consistency limit
9
| ← 111201edo | 111202edo | 111203edo → |
(convergent)
The 111202edo divides the octave into 111202 equal parts of 0.0108 cents each. It is the denominator of the next convergent for log23 past 79335, before 190537.
Theory
111202edo has a consistency limit of only 9, and is a strong 5-limit system, with additional strengths in the 2.3.5.17.19.23 subgroup.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00000 | -0.00000 | -0.00052 | -0.00520 | +0.00308 | -0.00321 | -0.00046 | -0.00038 | -0.00147 | -0.00219 | +0.00498 |
| Relative (%) | +0.0 | -0.0 | -4.8 | -48.2 | +28.5 | -29.8 | -4.3 | -3.5 | -13.7 | -20.3 | +46.2 | |
| Steps (reduced) |
111202 (0) |
176251 (65049) |
258203 (35799) |
312183 (89779) |
384696 (51090) |
411496 (77890) |
454534 (9726) |
472378 (27570) |
503029 (58221) |
540217 (95409) |
550917 (106109) | |