45ed4
The 45 equal divisions of the fourth harmonic is a tuning system equvalent to 22.5edo, representing every second step of 45edo.
| ← 43ed4 | 45ed4 | 47ed4 → |
Its step size is very close to the Alpharabian quarter tone 33/32. In addition, it tempers out the tritrizo comma in the 4.7/6 subgroup, and along with it the quartisma in the 33/32.7/6 subgroup.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +26.7 | +18.0 | +0.0 | -13.0 | -8.6 | -8.8 | +26.7 | -17.2 | +13.7 | +8.7 | +18.0 |
| Relative (%) | +50.0 | +33.8 | +0.0 | -24.3 | -16.2 | -16.5 | +50.0 | -32.3 | +25.7 | +16.3 | +33.8 | |
| Steps (reduced) |
23 (23) |
36 (36) |
45 (0) |
52 (7) |
58 (13) |
63 (18) |
68 (23) |
71 (26) |
75 (30) |
78 (33) |
81 (36) | |