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
Approximation of harmonics in 47zpi
| 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
