848edo
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Prime factorization
24 × 53
Step size
1.41509¢
Fifth
496\848 (701.887¢) (→31\53)
Semitones (A1:m2)
80:64 (113.2¢ : 90.57¢)
Consistency limit
15
Distinct consistency limit
15
| ← 847edo | 848edo | 849edo → |
848 equal divisions of the octave (848edo), or 848-tone equal temperament (848tet), 848 equal temperament (848et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 848 equal parts of about 1.42 ¢ each.
848edo is consistent in the 15-odd-limit and contains the famous 53edo as a subset. In the 5-limit, it is a very strong system, which tempers out the Mercator's comma. It also tunes kwazy and provides the optimal patent val for the geb temperament.
In higher limits, it is a strong 2.3.5.13.23 system.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.068 | +0.007 | +0.514 | +0.569 | +0.038 | -0.238 | -0.343 | +0.028 | +0.611 | -0.224 |
| relative (%) | +0 | -5 | +0 | +36 | +40 | +3 | -17 | -24 | +2 | +43 | -16 | |
| Steps (reduced) |
848 (0) |
1344 (496) |
1969 (273) |
2381 (685) |
2934 (390) |
3138 (594) |
3466 (74) |
3602 (210) |
3836 (444) |
4120 (728) |
4201 (809) | |