29edo: Difference between revisions
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If arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best spelled with double arrows. | If arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best spelled with double arrows. | ||
===Sagittal notation=== | === Sagittal notation === | ||
This notation uses the same sagittal sequence as EDOs [[15edo#Sagittal notation|15]] and [[22edo#Sagittal notation|22]]. | This notation uses the same sagittal sequence as EDOs [[15edo#Sagittal notation|15]] and [[22edo#Sagittal notation|22]]. | ||
==== Evo flavor ==== | |||
<imagemap> | <imagemap> | ||
File:29-EDO_Evo_Sagittal.svg | File:29-EDO_Evo_Sagittal.svg | ||
| Line 474: | Line 474: | ||
</imagemap> | </imagemap> | ||
====Revo flavor==== | ==== Revo flavor ==== | ||
<imagemap> | <imagemap> | ||
File:29-EDO_Revo_Sagittal.svg | File:29-EDO_Revo_Sagittal.svg | ||
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== Approximation to JI == | == Approximation to JI == | ||
[[File:29ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|15-odd-limit intervals approximated in 29edo]] | [[File:29ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|15-odd-limit intervals approximated in 29edo]] | ||
=== Interval mappings === | === Interval mappings === | ||
{{Q-odd-limit intervals|29}} | {{Q-odd-limit intervals|29}} | ||
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|- | |- | ||
! [[Harmonic limit|Prime<br>limit]] | ! [[Harmonic limit|Prime<br>limit]] | ||
! [[Ratio]]<ref> | ! [[Ratio]]<ref group="note">{{rd}}</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
| Line 877: | Line 877: | ||
== Zeta properties == | == Zeta properties == | ||
===Zeta peak index=== | === Zeta peak index === | ||
{| class="wikitable" | {| class="wikitable" | ||
! colspan="3" |Tuning | ! colspan="3" | Tuning | ||
! colspan="3" |Strength | ! colspan="3" | Strength | ||
! colspan="2" |Closest EDO | ! colspan="2" | Closest EDO | ||
! colspan="2" |Integer limit | ! colspan="2" | Integer limit | ||
|- | |- | ||
!ZPI | ! ZPI | ||
!Steps per octave | ! Steps per octave | ||
!Step size (cents) | ! Step size (cents) | ||
!Height | ! Height | ||
!Integral | ! Integral | ||
!Gap | ! Gap | ||
!EDO | ! EDO | ||
!Octave (cents) | ! Octave (cents) | ||
!Consistent | ! Consistent | ||
!Distinct | ! Distinct | ||
|- | |- | ||
|[[116zpi]] | | [[116zpi]] | ||
|28.9399661541990 | | 28.9399661541990 | ||
|41.4651487014917 | | 41.4651487014917 | ||
|5.566209 | | 5.566209 | ||
| 1.000619 | | 1.000619 | ||
|14.904418 | | 14.904418 | ||
|29edo | | 29edo | ||
|1202.48931234326 | | 1202.48931234326 | ||
| 8 | | 8 | ||
|7 | | 7 | ||
|} | |} | ||
== Scales == | == Scales == | ||
=== MOS scales === | === MOS scales === | ||