82edo: Difference between revisions

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m Formatting + notation
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== Intervals ==
== Intervals ==
{| class="wikitable right-1 right-2 left-3 left-4 left-5"
{| class="wikitable right-1 right-2 left-3 left-4 left-5"
|+
|-
! #
! rowspan="2" | #
! Cents
! rowspan="2" | Cents
! Approximate Ratios*
! rowspan="2" | Approximate ratios*
! Additional Ratios<br>with 11's (82e Val)
! colspan="2" | Additional ratios
! Additional Ratios<br>with 11's (Patent Val)
|-
! Using the 82e val
! Using the patent val
|-
|-
| 0
| 0
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|
|
|}
|}
<nowiki>*</nowiki> as a no-11 19-limit temperament
<nowiki />* As a no-11 19-limit temperament
==Zeta properties==
 
===Zeta peak index===
== Notation ==
=== Ups and downs notation ===
60edo can be notated using [[ups and downs notation]] using [[Helmholtz–Ellis]] accidentals:
 
{{Sharpness-sharp8}}
 
== Zeta properties ==
=== Zeta peak index ===
{| class="wikitable"
{| class="wikitable"
! colspan="3" |Tuning
! colspan="3" |Strength
! colspan="2" |Closest EDO
! colspan="2" |Integer limit
|-
|-
!ZPI
! colspan="3" | Tuning
!Steps per octave
! colspan="3" | Strength
!Step size (cents)
! colspan="2" | Closest EDO
!Height
! colspan="2" | Integer limit
!Integral
!Gap
!EDO
!Octave (cents)
!Consistent
!Distinct
|-
|-
|[[448zpi]]
! ZPI
|81.9541455954050
! Steps per octave
|14.6423343356444
! Step size (cents)
|6.653983
! Height
|0.941321
! Integral
|14.718732
! Gap
|82edo
! EDO
|1200.67141552284
! Octave (cents)
|8
! Consistent
|8
! Distinct
|-
| [[448zpi]]
| 81.9541455954050
| 14.6423343356444
| 6.653983
| 0.941321
| 14.718732
| 82edo
| 1200.67141552284
| 8
| 8
|}
|}