45ed4
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Prime factorization
32 × 5
Step size
53.3333¢
Octave
23\45ed4 (1226.67¢)
Twelfth
36\45ed4 (1920¢) (→4\5ed4)
Consistency limit
1
Distinct consistency limit
1
| ← 43ed4 | 45ed4 | 47ed4 → |
The 45 equal divisions of the fourth harmonic is a tuning system equvalent to 22.5edo, representing every second step of 45edo.
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 | +34 | +0 | -24 | -16 | -17 | +50 | -32 | +26 | +16 | +34 | |
| Steps (reduced) |
23 (23) |
36 (36) |
45 (0) |
52 (7) |
58 (13) |
63 (18) |
68 (23) |
71 (26) |
75 (30) |
78 (33) |
81 (36) | |