34zpi: Difference between revisions

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'''34 zeta peak index''' (abbreviated '''34zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 34th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].
'''34 zeta peak index''' (abbreviated '''34zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 34th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].


{|class="wikitable"
{{ZPI
!colspan="3"|Tuning
| zpi = 34
!colspan="3"|Strength
| steps = 12.0231830072926
!colspan="2"|Closest EDO
| step size = 99.8071807833375
!colspan="2"|Integer limit
| tempered height = 5.193290
|-
| pure height = 5.084467
!ZPI
| integral = 1.269599
!Steps per octave
| gap = 15.899282
!Step size (cents)
| edo = 12edo
!Height
| octave = 1197.68616940005
!Integral
| consistent = 10
!Gap
| distinct = 6
!EDO
}}
!Octave (cents)
!Consistent
!Distinct
|-
|34zpi
|12.0231830072926
|99.8071807833375
|5.193290
|1.269599
|15.899282
|[[12edo]]
|1197.68616940005
|10
|6
|}


== Intervals ==
== Intervals ==