57edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Notation == | == Notation == | ||
=== Ups and downs notation === | |||
Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud. | |||
{{sharpness-sharp3a}} | |||
===Sagittal notation=== | Using [[Helmholtz–Ellis]] accidentals, 57edo can also be notated using [[Alternative symbols for ups and downs notation#Sharp-3|alternative ups and downs]]: | ||
{{Sharpness-sharp3}} | |||
Here, a sharp raises by three steps, and a flat lowers by three steps, so arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, some notes may be best spelled with double arrows. | |||
=== Sagittal notation === | |||
This notation uses the same sagittal sequence as EDOs [[50edo#Sagittal notation|50]], [[64edo#Sagittal notation|64]], and [[71edo#Sagittal notation|71b]], and is a superset of the notation for [[19edo#Sagittal notation|19-EDO]]. | This notation uses the same sagittal sequence as EDOs [[50edo#Sagittal notation|50]], [[64edo#Sagittal notation|64]], and [[71edo#Sagittal notation|71b]], and is a superset of the notation for [[19edo#Sagittal notation|19-EDO]]. | ||
==== Evo flavor ==== | |||
<imagemap> | <imagemap> | ||
File:57-EDO_Evo_Sagittal.svg | File:57-EDO_Evo_Sagittal.svg | ||
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</imagemap> | </imagemap> | ||
====Revo flavor==== | ==== Revo flavor ==== | ||
<imagemap> | <imagemap> | ||
File:57-EDO_Revo_Sagittal.svg | File:57-EDO_Revo_Sagittal.svg | ||
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== Scales == | == Scales == | ||
* 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 - 3mos of type 18L 21s (augene) | |||
* 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 - 3mos of type 18L 21s (augene) | |||
[[Category:Heinz]] | [[Category:Heinz]] | ||
[[Category:Mothra]] | [[Category:Mothra]] | ||
{{todo|add rank 2 temperaments table|add lumatone mapping}} | {{todo|add rank 2 temperaments table|add lumatone mapping}} | ||