47zpi: Difference between revisions
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== Harmonics == | == Harmonics == | ||
{{harmonics in cet|79.7157343943591|columns=14}} | {{harmonics in cet|79.7157343943591|columns=14|title=Approximation of harmonics in 47zpi}} | ||
== Intervals == | == Intervals == | ||
Latest revision as of 20:34, 24 September 2024
47 zeta peak index (abbreviated 47zpi), is the equal-step tuning system obtained from the 47th peak of the Riemann zeta function. It is very close to 15edo, just with compressed octaves.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -4.3 | +11.2 | -8.5 | +3.7 | +7.0 | -20.8 | -12.8 | +22.4 | -0.5 | -6.1 | +2.7 | +23.6 | -25.0 | +15.0 |
| Relative (%) | -5.3 | +14.1 | -10.7 | +4.7 | +8.7 | -26.0 | -16.0 | +28.2 | -0.7 | -7.7 | +3.4 | +29.5 | -31.4 | +18.8 | |
| Step | 15 | 24 | 30 | 35 | 39 | 42 | 45 | 48 | 50 | 52 | 54 | 56 | 57 | 59 | |
Intervals
- 79.716
- 159.431
- 239.147
- 318.863
- 398.579
- 478.294
- 558.01
- 637.726
- 717.442
- 797.157
- 876.873
- 956.589
- 1036.305
- 1116.02
- 1195.736
Scales
Music
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