77edo: Difference between revisions

Godtone (talk | contribs)
m Prime harmonics: prime 67 is very accurate so deserves to be included; beyond it, large primes are very off until 83, so it's a good stopping point
ArrowHead294 (talk | contribs)
Line 260: Line 260:
== Approximation to JI ==
== Approximation to JI ==
=== Zeta peak index ===
=== Zeta peak index ===
{| class="wikitable center-all"
{{ZPI
|-
| zpi = 414
! colspan="3" | Tuning
| steps = 76.9918536925042
! colspan="3" | Strength
| step size = 15.5860645308353
! colspan="2" | Closest edo
| tempered height = 8.194847
! colspan="2" | Integer limit
| pure height = 8.145298
|-
| integral = 1.311364
! ZPI
| gap = 17.029289
! Steps per octave
| octave = 1200.12696887432
! Step size (cents)
| consistent = 10
! Height
| distinct = 10
! Integral
}}
! Gap
! Edo
! Octave (cents)
! Consistent
! Distinct
|-
| [[414zpi]]
| 76.9918536925042
| 15.5860645308353
| 8.194847
| 1.311364
| 17.029289
| 77edo
| 1200.12696887432
| 10
| 10
|}


== Regular temperament properties ==
== Regular temperament properties ==