1672edo
Jump to navigation
Jump to search
Prime factorization
23 × 11 × 19
Step size
0.717703¢
Fifth
978\1672 (701.914¢) (→489\836)
Semitones (A1:m2)
158:126 (113.4¢ : 90.43¢)
Consistency limit
17
Distinct consistency limit
17
| ← 1671edo | 1672edo | 1673edo → |
1672 equal divisions of the octave (abbreviated 1672edo or 1672ed2), also called 1672-tone equal temperament (1672tet) or 1672 equal temperament (1672et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1672 equal parts of about 0.718 ¢ each. Each step represents a frequency ratio of 21/1672, or the 1672nd root of 2.
1672edo is consistent in the 17-odd-limit. In the 11-limit it has the same mapping as 836edo and it corrects the mapping for 13. It is a strong tuning for the rank-6 sperasmic temperament tempering out 2500/2499.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.041 | -0.189 | +0.074 | -0.122 | -0.097 | -0.171 | +0.334 | -0.284 | +0.327 | -0.299 |
| relative (%) | +0 | -6 | -26 | +10 | -17 | -14 | -24 | +47 | -40 | +46 | -42 | |
| Steps (reduced) |
1672 (0) |
2650 (978) |
3882 (538) |
4694 (1350) |
5784 (768) |
6187 (1171) |
6834 (146) |
7103 (415) |
7563 (875) |
8123 (1435) |
8283 (1595) | |