71zpi: Difference between revisions

m reflecting convention to lower the integer-limit to the highest integer that is supported by the subgroup and is not a multiple of the equave, when measuring consistency of an ET that equally divides a just equave
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'''71 zeta peak index''' (abbreviated '''71zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 71st [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].
'''71 zeta peak index''' (abbreviated '''71zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 71st [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].


{| class="wikitable"
{{ZPI
! colspan="3" | Tuning
| zpi = 71
! colspan="3" | Strength
| steps = 20.2248393119540
! colspan="2" | Closest EDO
| step size = 59.3329806724710
! colspan="2" | Integer limit
| height = 3.531097
|-
| integral = 0.613581
! ZPI
| gap = 12.986080
! Steps per octave
| octave = 1186.65961344942
! Step size (cents)
| consistent = 6
! Height
| distinct = 6
! Integral
}}
! Gap
! EDO
! Octave (cents)
! Consistent
! Distinct
|-
| [[71zpi]]
| 20.2248393119540
| 59.3329806724710
| 3.531097
| 0.613581
| 12.986080
| [[20edo]]
| 1186.65961344942
| 6
| 6
|}


[[File:71zpi.png|thumb|right|The Riemann zeta function around 71zpi]]
[[File:71zpi.png|thumb|right|The Riemann zeta function around 71zpi]]