60edo: Difference between revisions
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== Notation == | == Notation == | ||
=== Ups and downs notation === | === Ups and downs notation === | ||
60edo can be notated using [[ups and downs notation]] using [[ | 60edo can be notated using [[ups and downs notation]] using [[Helmholtz–Ellis]] accidentals: | ||
{{Sharpness-sharp5|60}} | {{Sharpness-sharp5|60}} | ||
If arrows are taken to have their own layer of enharmonic spellings, then in some cases certain notes may be best spelled with three arrows. | If arrows are taken to have their own layer of enharmonic spellings, then in some cases certain notes may be best spelled with three arrows. | ||
===Sagittal notation=== | === Sagittal notation === | ||
This notation is a superset of the notations for EDOs [[12edo#Sagittal notation|12]] and [[6edo#Sagittal notation|6]]. | This notation is a superset of the notations for EDOs [[12edo#Sagittal notation|12]] and [[6edo#Sagittal notation|6]]. | ||
====Evo flavor==== | ====Evo flavor==== | ||
<imagemap> | <imagemap> | ||
File:60-EDO_Evo_Sagittal.svg | File:60-EDO_Evo_Sagittal.svg | ||
| Line 34: | Line 35: | ||
</imagemap> | </imagemap> | ||
====Revo flavor==== | ==== Revo flavor ==== | ||
<imagemap> | <imagemap> | ||
File:60-EDO_Revo_Sagittal.svg | File:60-EDO_Revo_Sagittal.svg | ||
| Line 545: | Line 545: | ||
== 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 | |||
|- | |- | ||
|[[301zpi]] | | [[301zpi]] | ||
|59.9201656607655 | | 59.9201656607655 | ||
|20.0266469020418 | | 20.0266469020418 | ||
|7.046396 | | 7.046396 | ||
|1.131000 | | 1.131000 | ||
|15.932359 | | 15.932359 | ||
|60edo | | 60edo | ||
|1201.59881412251 | | 1201.59881412251 | ||
|10 | | 10 | ||
|10 | | 10 | ||
|} | |} | ||
== Diagrams == | == Diagrams == | ||
[[File:60edo_wheel_with_cents_values.png|alt=60edo wheel with cents values.png|560x560px|60edo wheel with cents values.png]] {{todo|annotate}} | [[File:60edo_wheel_with_cents_values.png|alt=60edo wheel with cents values.png|560x560px|60edo wheel with cents values.png]] {{todo|annotate}} | ||