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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
| tempered height = 2.097730
|-
| pure height = 4.390681
!ZPI
| integral = 0.344839
!Steps per octave
| gap = 10.594800
!Step size (cents)
| edo = 15edo
!Height
| octave = 1233.34684913419
!Integral
| consistent = 2
!Gap
| distinct = 2
!EDO
}}
!Octave (cents)
!Consistent
!Distinct
|-
|[[45zpi]]
|14.5944346577250
|82.2231232756126
|2.097730
|0.344839
|10.594800
|[[15edo]]
|1233.34684913419
|2
|2
|}


== Theory ==
== Theory ==