15edo: Difference between revisions

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! step

! cents

! colspan="3" | [[Ups and downs notation|ups and downs]] notation ([[Enharmonic unisons in ups and downs notation|EUs]]: v3A1 and m2) (partial list, e.g. M2 is also A1 and d4)

! colspan="3" | [[Ups and downs notation|ups and downs]] notation ([[Enharmonic unisons in ups and downs notation|EUs]]: v3A1 and m2) (partial list, e.g. M2/m3 is also A1 and d4)

! colspan="2" | porcupine notation ([[Enharmonic unison|EU]]: dd2)

|-

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There are a variety of ways to notate 15edo, and the choice of notation depends heavily on which rank-2 temperament or MOS scale one wishes to treat as being the "main focus" of 15edo composition.

=== Ups and downs notation ===

15edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.

[[Alternative symbols for ups and downs notation]] uses sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:

=== Sagittal notation ===

This notation uses the same sagittal sequence as EDOs [[22edo#Sagittal notation|22]] and [[29edo#Sagittal notation|29]], is a subset of the notation for [[30edo#Sagittal notation|30-EDO]], and is a superset of the notation for [[5edo#Sagittal notation|5-EDO]].

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=== Porcupine Notation (Heptatonic) ===

Porcupine notation can be based on the Porcupine[7] Lssssss scale. By representing the 3|3 mode (sssLsss) with a chain of ~~fifths~~ (D E F G A B C D) and using sharps and flats (#/b) to denote ~~a step~~ up or down respectively, 15edo can be notated using standard notation. Its intervals can likewise be named with respect to diatonic intervals.

Porcupine notation can be based on the Porcupine[7] Lssssss scale. By representing the 3|3 mode (sssLsss) with a chain of seconds (D E F G A B C D) and using sharps and flats (#/b) to denote an edostep up or down respectively, 15edo can be notated using standard notation. Its intervals can likewise be named with respect to diatonic intervals.

{| class="wikitable"

@@ Line 209: / Line 209: @@
 ! step
 ! cents
-! colspan="3" | [[Ups and downs notation|ups and downs]] notation ([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and m2)<br>(partial list, e.g. M2 is also A1 and d4)
+! colspan="3" | [[Ups and downs notation|ups and downs]] notation ([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and m2)<br>(partial list, e.g. M2/m3 is also A1 and d4)
 ! colspan="2" | porcupine notation<br>([[Enharmonic unison|EU]]: dd2)
 |-
@@ Line 373: / Line 373: @@
 There are a variety of ways to notate 15edo, and the choice of notation depends heavily on which rank-2 temperament or MOS scale one wishes to treat as being the "main focus" of 15edo composition.
+=== Ups and downs notation ===
+edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
+{{Sharpness-sharp4a}}
+[[Alternative symbols for ups and downs notation]] uses sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
+{{Sharpness-sharp4}}
 === Sagittal notation ===
 This notation uses the same sagittal sequence as EDOs [[22edo#Sagittal notation|22]] and [[29edo#Sagittal notation|29]], is a subset of the notation for [[30edo#Sagittal notation|30-EDO]], and is a superset of the notation for [[5edo#Sagittal notation|5-EDO]].
@@ Line 430: / Line 435: @@
 === Porcupine Notation (Heptatonic) ===
-Porcupine notation can be based on the Porcupine[7] Lssssss scale. By representing the 3|3 mode (sssLsss) with a chain of fifths (D E F G A B C D) and using sharps and flats (#/b) to denote a step up or down respectively, 15edo can be notated using standard notation. Its intervals can likewise be named with respect to diatonic intervals.
+Porcupine notation can be based on the Porcupine[7] Lssssss scale. By representing the 3|3 mode (sssLsss) with a chain of seconds (D E F G A B C D) and using sharps and flats (#/b) to denote an edostep up or down respectively, 15edo can be notated using standard notation. Its intervals can likewise be named with respect to diatonic intervals.
 {| class="wikitable"