21edo: Difference between revisions
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! [[Cent]]s | ! [[Cent]]s | ||
! colspan="3" | [[Ups and downs notation]] | ! colspan="3" | [[Ups and downs notation]] | ||
! [[5L 3s]] octotonic <br> notation | ! [[5L 3s]] octotonic<br>notation | ||
! [[Extended-diatonic interval names|Extended-diatonic <br> interval name]] | ! [[Extended-diatonic interval names|Extended-diatonic <br> interval name]] | ||
! Approximate Ratios *1 | ! Approximate Ratios *1 | ||
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== Notation == | == Notation == | ||
=== Sagittal notation === | |||
===Sagittal notation=== | |||
This notation uses the same sagittal sequence as [[16edo#Sagittal notation|16-EDO]], is a subset of the notation for [[42edo#Second-best fifth notation|42b]], and is a superset of the notation for [[7edo#Sagittal notation|7-EDO]]. | This notation uses the same sagittal sequence as [[16edo#Sagittal notation|16-EDO]], is a subset of the notation for [[42edo#Second-best fifth notation|42b]], and is a superset of the notation for [[7edo#Sagittal notation|7-EDO]]. | ||
| Line 652: | Line 651: | ||
| [[Whitewood]] | | [[Whitewood]] | ||
|} | |} | ||
==Zeta properties== | |||
===Zeta peak index=== | == Zeta properties == | ||
=== 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 | |||
|- | |- | ||
|[[75zpi]] | | [[75zpi]] | ||
|21.0279383259393 | | 21.0279383259393 | ||
|57.0669354931351 | | 57.0669354931351 | ||
|4.107322 | | 4.107322 | ||
|0.716469 | | 0.716469 | ||
|12.853639 | | 12.853639 | ||
|21edo | | 21edo | ||
|1198.40564535584 | | 1198.40564535584 | ||
|4 | | 4 | ||
|4 | | 4 | ||
|} | |} | ||
== Books / Literature == | == Books / Literature == | ||
* Sword, Ron. "Icosihenaphonic Scales for Guitar". IAAA Press. 1st ed: July 2009. | * Sword, Ron. "Icosihenaphonic Scales for Guitar". IAAA Press. 1st ed: July 2009. | ||