684edo: Difference between revisions

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== Approximation to JI ==
== Approximation to JI ==
=== Zeta peak index ===
=== Zeta peak index ===
{| class="wikitable center-all"
{{ZPI
|-
| zpi = 5818
! colspan="3" | Tuning
| steps = 683.938934890938
! colspan="3" | Strength
| step size = 1.75454260429165
! colspan="2" | Closest edo
| tempered height = 14.267321
! colspan="2" | Integer limit
| pure height = 7.268914
|-
| integral = 1.773752
! ZPI
| gap = 20.109967
! Steps per octave
| octave = 1200.10714133549
! Step size (cents)
| consistent = 18
! Height
| distinct = 18
! Integral
}}
! Gap
! Edo
! Octave (cents)
! Consistent
! Distinct
|-
| [[5818zpi]]
| 683.938934890938
| 1.75454260429165
| 14.267321
| 1.773752
| 20.109967
| 684edo
| 1200.10714133549
| 18
| 18
|}


== Regular temperament properties ==
== Regular temperament properties ==
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| [[Semihemienneadecal]]
| [[Semihemienneadecal]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


== Scales ==
== Scales ==


* [[15-odd-limit|Diamond15]]: 64 4 5 6 7 8 10 12 16 9 11 13 15 18 7 15 18 10 11 25 22 8 7 11 20 11 7 8 22 25 11 10 18 15 7 18 15 13 11 9 16 12 10 8 7 6 5 4 64
* [[15-odd-limit|Diamond15]]: 64 4 5 6 7 8 10 12 16 9 11 13 15 18 7 15 18 10 11 25 22 8 7 11 20 11 7 8 22 25 11 10 18 15 7 18 15 13 11 9 16 12 10 8 7 6 5 4 64