1ed33/32
The equal multiplication of 33/32, the Alpharabian quarter-tone, results in an interesting nonoctave tuning, equivalent to 22.5255 EDO.
Lookalikes: 5ed7/6, 45ed4
Theory
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +25.3 | +15.9 | -2.7 | -16.1 | -12.1 | -12.6 | +22.6 | -21.5 | +9.2 | +4.0 | +13.2 |
| Relative (%) | +47.4 | +29.8 | -5.1 | -30.3 | -22.8 | -23.7 | +42.3 | -40.4 | +17.2 | +7.5 | +24.7 | |
| Step | 23 | 36 | 45 | 52 | 58 | 63 | 68 | 71 | 75 | 78 | 81 | |
In this tuning, 2 steps correspond to the parapotome 1089/1024, and 5 steps are approximately equal to 7/6, thus tempering out the quartisma if this equivalence is assumed.