14edo: Difference between revisions

Contribution (talk | contribs)
No edit summary
ArrowHead294 (talk | contribs)
Formatting
Line 23: Line 23:
! Cents
! Cents
! Approximate<br>[[Harmonic]]s
! Approximate<br>[[Harmonic]]s
! Approximate<br>Ratios 1 <ref>based on treating 14edo as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]; other approaches are possible.</ref>
! Approximate<br>Ratios 1 <ref group="note">{{sg|limit=2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]}}</ref>
! Approximate<br>Ratios 2 <ref>based on treating 14edo as an 11-limit temperament of {{val| 14 22 32 39 48}} (14c)</ref>
! Approximate<br>Ratios 2 <ref group="note">Based on treating 14edo as an 11-limit temperament of {{val| 14 22 32 39 48}} (14c)</ref>
! Approximate<br>Ratios 3 <ref>nearest 15-odd-limit intervals by [[direct approximation]]</ref>
! Approximate<br>Ratios 3 <ref>nearest 15-odd-limit intervals by [[direct approximation]]</ref>
! colspan="3" | [[Ups and Downs Notation]]
! colspan="3" | [[Ups and Downs Notation]]
Line 297: Line 297:
|-
|-
! [[Harmonic limit|Prime<br>limit]]
! [[Harmonic limit|Prime<br>limit]]
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[Cent]]s
Line 399: Line 399:
===Zeta peak index===
===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
|-
|-
|[[42zpi]]
! ZPI
|13.9002525327005
! Steps per octave
|86.3293668353859
! Step size (cents)
|4.592177
! Height
|0.984037
! Integral
|14.097244
! Gap
|14edo
! EDO
|1208.61113569540
! Octave (cents)
|7
! Consistent
|5
! Distinct
|-
| [[42zpi]]
| 13.9002525327005
| 86.3293668353859
| 4.592177
| 0.984037
| 14.097244
| 14edo
| 1208.61113569540
| 7
| 5
|}
|}
== Scales ==
== Scales ==
* 5 4 5 - [[MOS]] of [[2L 1s]]
* 5 4 5 - [[MOS]] of [[2L 1s]]