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'''45 zeta peak index''' (abbreviated '''45zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 45th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].
'''45 zeta peak index''' (abbreviated '''45zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 45th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].


{|class="wikitable"
{{ZPI
!colspan="3"|Tuning
| zpi = 45
!colspan="3"|Strength
| steps = 14.5944346577250
!colspan="2"|Closest EDO
| step size = 82.2231232756126
!colspan="2"|Integer limit
| height = 2.097730
|-
| integral = 0.344839
!ZPI
| gap = 10.594800
!Steps per octave
| edo = 15edo
!Step size (cents)
| octave = 1233.34684913419
!Height
| consistent = 2
!Integral
| distinct = 2
!Gap
}}
!EDO
!Octave (cents)
!Consistent
!Distinct
|-
|[[45zpi]]
|14.5944346577250
|82.2231232756126
|2.097730
|0.344839
|10.594800
|[[15edo]]
|1233.34684913419
|2
|2
|}


== Theory ==
== Theory ==
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! Cents
! Cents
! Ratios
! Ratios
! Ups and Downs Notation
! Ups and downs notation
! Step
! Step
|-
|-