71 zeta peak index (abbreviated 71zpi), is the equal-step tuning system obtained from the 71st peak of the Riemann zeta function.
| Tuning
|
Strength
|
Closest EDO
|
Integer limit
|
| ZPI
|
Steps per octave
|
Step size (cents)
|
Height
|
Integral
|
Gap
|
EDO
|
Octave (cents)
|
Consistent
|
Distinct
|
| 71zpi
|
20.2248393119540
|
59.3329806724710
|
3.531097
|
0.613581
|
12.986080
|
20edo
|
1186.65961344942
|
6
|
6
|
71zpi
| Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
| Error
|
Absolute (¢)
|
-13.3
|
-3.3
|
-26.7
|
+2.3
|
-16.6
|
+13.2
|
+19.3
|
-6.6
|
-11.0
|
+2.0
|
+29.4
|
+9.4
|
-0.2
|
-1.0
|
+6.0
|
| Relative (%)
|
-22.5
|
-5.6
|
-45.0
|
+3.9
|
-28.0
|
+22.2
|
+32.5
|
-11.1
|
-18.5
|
+3.4
|
+49.5
|
+15.9
|
-0.3
|
-1.6
|
+10.1
|
| Step
|
20
|
32
|
40
|
47
|
52
|
57
|
61
|
64
|
67
|
70
|
73
|
75
|
77
|
79
|
81
|
71zpi
| Harmonic
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
25
|
26
|
27
|
28
|
29
|
30
|
31
|
32
|
| Error
|
Absolute (¢)
|
+19.7
|
-19.9
|
+5.1
|
-24.3
|
+9.9
|
-11.3
|
-29.0
|
+16.0
|
+4.7
|
-3.9
|
-9.9
|
-13.5
|
-14.9
|
-14.3
|
-11.7
|
-7.4
|
| Relative (%)
|
+33.2
|
-33.6
|
+8.6
|
-41.0
|
+16.6
|
-19.1
|
-48.8
|
+27.0
|
+7.9
|
-6.6
|
-16.7
|
-22.8
|
-25.2
|
-24.1
|
-19.8
|
-12.4
|
| Step
|
83
|
84
|
86
|
87
|
89
|
90
|
91
|
93
|
94
|
95
|
96
|
97
|
98
|
99
|
100
|
101
|
