89edo: Difference between revisions
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→Music: Add Bryan Deister's ''microtonal improvisation in 89edo'' (2025) |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||
== Notation == | |||
=== Ups and downs notation === | |||
89edo can be notated using [[ups and downs notation]] using [[Helmholtz–Ellis]] accidentals: | |||
{{Sharpness-sharp8}} | |||
== Approximation to JI == | == Approximation to JI == | ||
=== Zeta peak index === | === Zeta peak index === | ||
{ | {{ZPI | ||
| | | zpi = 497 | ||
| steps = 89.0229355804124 | |||
| step size = 13.4796723133902 | |||
| tempered height = 7.567368 | |||
| pure height = 7.158697 | |||
| integral = 1.124501 | |||
| gap = 16.042570 | |||
| octave = 1199.69083589172 | |||
| consistent = 12 | |||
| distinct = 12 | |||
}} | |||
| 13.4796723133902 | |||
| 7.567368 | |||
| 1.124501 | |||
| 16.042570 | |||
| | |||
| 12 | |||
| 12 | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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* [[Myna11]] | * [[Myna11]] | ||
* [[Myna15]] | * [[Myna15]] | ||
== Instruments == | |||
; Lumatone | |||
''See [[Lumatone mapping for 89edo]].'' | |||
== Music == | == Music == | ||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/watch?v=2JNIeqvXKlM ''microtonal improvisation in 89edo''] (2025) | |||
; [[Francium]] | ; [[Francium]] | ||
* [https://www.youtube.com/watch?v=5Du9RfDUqCs ''Singing Golden Myna''] (2022) – myna[11] in 89edo | * [https://www.youtube.com/watch?v=5Du9RfDUqCs ''Singing Golden Myna''] (2022) – myna[11] in 89edo | ||