435zpi, the 435th zeta peak index, is a compressed-octaves version of 80edo. It can be thought of as 80ed1198.9c or as 14.986cet.
80edo tunes almost all simple harmonics slightly sharp by roughly the same amount, so 435zpi is one possible way of correcting for this.
Harmonics
Odd
Approximation of odd harmonics in 435zpi
| Harmonic
|
3
|
5
|
7
|
9
|
11
|
13
|
15
|
17
|
19
|
21
|
23
|
25
|
27
|
| Error
|
Absolute (¢)
|
+1.27
|
+1.08
|
+3.02
|
+2.53
|
-0.20
|
-4.67
|
+2.35
|
-4.53
|
-2.27
|
+4.29
|
-3.34
|
+2.16
|
+3.80
|
| Relative (%)
|
+8.5
|
+7.2
|
+20.2
|
+16.9
|
-1.3
|
-31.2
|
+15.7
|
-30.3
|
-15.2
|
+28.6
|
-22.3
|
+14.4
|
+25.4
|
| Step
|
127
|
186
|
225
|
254
|
277
|
296
|
313
|
327
|
340
|
352
|
362
|
372
|
381
|
Approximation of odd harmonics in 435zpi
| Harmonic
|
29
|
31
|
33
|
35
|
37
|
39
|
41
|
43
|
45
|
47
|
49
|
51
|
| Error
|
Absolute (¢)
|
-0.02
|
+4.41
|
+1.07
|
+4.11
|
-2.18
|
-3.40
|
-0.07
|
+7.39
|
+3.62
|
+3.26
|
+6.05
|
-3.27
|
| Relative (%)
|
-0.2
|
+29.4
|
+7.1
|
+27.4
|
-14.6
|
-22.7
|
-0.5
|
+49.3
|
+24.1
|
+21.8
|
+40.4
|
-21.8
|
| Step
|
389
|
397
|
404
|
411
|
417
|
423
|
429
|
435
|
440
|
445
|
450
|
454
|
Prime
Approximation of prime harmonics in 435zpi
| Harmonic
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
23
|
29
|
31
|
37
|
41
|
| Error
|
Absolute (¢)
|
-1.12
|
+1.27
|
+1.08
|
+3.02
|
-0.20
|
-4.67
|
-4.53
|
-2.27
|
-3.34
|
-0.02
|
+4.41
|
-2.18
|
-0.07
|
| Relative (%)
|
-7.5
|
+8.5
|
+7.2
|
+20.2
|
-1.3
|
-31.2
|
-30.3
|
-15.2
|
-22.3
|
-0.2
|
+29.4
|
-14.6
|
-0.5
|
| Step
|
80
|
127
|
186
|
225
|
277
|
296
|
327
|
340
|
362
|
389
|
397
|
417
|
429
|
Approximation of prime harmonics in 435zpi
| Harmonic
|
43
|
47
|
53
|
59
|
61
|
67
|
71
|
73
|
79
|
83
|
89
|
97
|
| Error
|
Absolute (¢)
|
+7.39
|
+3.26
|
+5.07
|
-0.77
|
+1.47
|
+3.89
|
-6.58
|
+5.27
|
+3.39
|
-7.19
|
+6.85
|
-7.29
|
| Relative (%)
|
+49.3
|
+21.8
|
+33.8
|
-5.1
|
+9.8
|
+26.0
|
-43.9
|
+35.1
|
+22.6
|
-48.0
|
+45.7
|
-48.6
|
| Step
|
435
|
445
|
459
|
471
|
475
|
486
|
492
|
496
|
505
|
510
|
519
|
528
|