79335edo
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Prime factorization
32 × 5 × 41 × 43
Step size
0.0151257¢
Fifth
46408\79335 (701.955¢)
(convergent)
Semitones (A1:m2)
7516:5965 (113.7¢ : 90.22¢)
Consistency limit
5
Distinct consistency limit
5
| ← 79334edo | 79335edo | 79336edo → |
(convergent)
The 79335edo divides the octave into 79335 equal parts of 0.015 cents each. It is the denominator of the next convergent for log23 past 31867, before 111202, and has a fifth which is about (7.9970873)*(10^-8) cents stretched.
Theory
79335edo has a consistency limit of only 5, though its performance in the 2.3.5.11.17.29 subgroup is admirable for a convergent.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00000 | +0.00000 | -0.00250 | +0.00752 | -0.00011 | -0.00582 | +0.00205 | -0.00498 | +0.00321 | +0.00118 | -0.00248 |
| Relative (%) | +0.0 | +0.0 | -16.5 | +49.7 | -0.7 | -38.5 | +13.5 | -32.9 | +21.2 | +7.8 | -16.4 | |
| Steps (reduced) |
79335 (0) |
125743 (46408) |
184210 (25540) |
222722 (64052) |
274454 (36449) |
293574 (55569) |
324279 (6939) |
337009 (19669) |
358877 (41537) |
385408 (68068) |
393041 (75701) | |