48edo: Difference between revisions
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{{Sharpness-sharp4|48}} | {{Sharpness-sharp4|48}} | ||
===Sagittal notation=== | === Sagittal notation === | ||
This notation is a superset of the notations for EDOs [[24edo#Sagittal notation|24]], [[12edo#Sagittal notation|12]], [[8edo#Sagittal notation|8]], and [[6edo#Sagittal notation|6]]. | This notation is a superset of the notations for EDOs [[24edo#Sagittal notation|24]], [[12edo#Sagittal notation|12]], [[8edo#Sagittal notation|8]], and [[6edo#Sagittal notation|6]]. | ||
==== Evo flavor ==== | |||
<imagemap> | <imagemap> | ||
File:48-EDO_Evo_Sagittal.svg | File:48-EDO_Evo_Sagittal.svg | ||
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</imagemap> | </imagemap> | ||
====Revo flavor==== | ==== Revo flavor ==== | ||
<imagemap> | <imagemap> | ||
File:48-EDO_Revo_Sagittal.svg | File:48-EDO_Revo_Sagittal.svg | ||
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</imagemap> | </imagemap> | ||
====Evo-SZ flavor==== | ==== Evo-SZ flavor ==== | ||
<imagemap> | <imagemap> | ||
File:48-EDO_Evo-SZ_Sagittal.svg | File:48-EDO_Evo-SZ_Sagittal.svg | ||
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{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
|- | |- | ||
! # | ! # | ||
! Cents | ! Cents | ||
! [[Ups and downs notation|Ups and Downs Notation]] | ! [[Ups and downs notation|Ups and Downs Notation]] | ||
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== Zeta properties == | == Zeta properties == | ||
===Zeta peak index=== | === Zeta peak index === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
!ZPI | ! colspan="3" | Tuning | ||
!Steps per octave | ! colspan="3" | Strength | ||
!Step size (cents) | ! colspan="2" | Closest EDO | ||
!Height | ! colspan="2" | Integer limit | ||
!Integral | |- | ||
!Gap | ! ZPI | ||
!EDO | ! Steps per octave | ||
!Octave (cents) | ! Step size (cents) | ||
!Consistent | ! Height | ||
!Distinct | ! Integral | ||
! Gap | |||
! EDO | |||
! Octave (cents) | |||
! Consistent | |||
! Distinct | |||
|- | |- | ||
|[[226zpi]] | | [[226zpi]] | ||
|47.9883202080850 | | 47.9883202080850 | ||
|25.0060847055410 | | 25.0060847055410 | ||
|5.843508 | | 5.843508 | ||
|0.890480 | | 0.890480 | ||
|13.888482 | | 13.888482 | ||
|48edo | | 48edo | ||
|1200.29206586597 | | 1200.29206586597 | ||
|6 | | 6 | ||
|6 | | 6 | ||
|} | |} | ||
== Music == | == Music == | ||
; [[E8 Heterotic]] | ; [[E8 Heterotic]] |