53edo: Difference between revisions

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Scales approximated from JI: En dash, not em dash
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! Cents
! Cents
! Approximate Ratios<ref group="note">{{sg|limit=no-17's [[19-limit]]}} ''Italics'' represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-closest (as opposed to closest) approximation in 53edo. </ref>
! Approximate Ratios<ref group="note">{{sg|limit=no-17's [[19-limit]]}} ''Italics'' represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-closest (as opposed to closest) approximation in 53edo. </ref>
! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]] ([[Enharmonic intervals in ups and downs notation|EIs]]: v<sup>5</sup>A1 and ^d2)
! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>5</sup>A1 and ^d2)
! colspan="2" | [[Solfege]]s
! colspan="2" | [[Solfege]]s
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|-
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== Notation ==
== Notation ==
=== Ups and downs notation ===
=== Ups and downs notation ===
Using [[Helmholtz–Ellis notation]] accidentals, 53edo can be notated using [[ups and downs notation]]:
[[Ups and downs notation]] uses free-standing arrows, but the arrows can be connected to conventional accidentals using [[Helmholtz–Ellis notation|Helmholtz–Ellis]] accidentals:
{{Sharpness-sharp5}}
{{Sharpness-sharp5}}
Here, a sharp raises by five steps (commas), and a flat lowers by five steps, so single and double arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, then in some cases certain notes may be best spelled with triple arrows.
Here, a sharp raises by five steps (commas), and a flat lowers by five steps, so single and double arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, then in some cases certain notes may be best spelled with triple arrows.