32edo: Difference between revisions

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=== Subsets and supersets ===

Since 32 factors ~~into primes~~ as 2<sup>5</sup>, 32edo contains subset edos {{EDOs| 2, 4, 8, and 16 }}.

Since 32 is a power of two and factors as 2<sup>5</sup>, 32edo contains subset edos {{EDOs| 2, 4, 8, and 16 }}.

See also [[32nd-octave temperaments]].

== Intervals ==

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== Notation ==

=== ~~Ups and downs~~ notation ===

=== Stein–Zimmermann–Gould notation ===

~~32edo can be notated with~~ [[~~ups and downs~~]]~~, spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc.~~ and ~~down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).~~

[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:

~~Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here~~, ~~this can~~ be ~~done~~ using ~~sharps and flats with~~ arrows~~, borrowed from extended [[Helmholtz–Ellis notation]]:~~

If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using triple arrows.

=== Kite's ups and downs notation ===

32edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).

~~If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using triple arrows.~~

=== Sagittal notation ===

This notation uses the same sagittal sequence as [[25edo#Sagittal notation|~~25-EDO~~]], and is a subset of the notation for [[64edo#Second-best fifth notation|64b]].

This notation uses the same sagittal sequence as [[25edo #Sagittal notation|25edo]], and is a subset of the notation for [[64edo #Second-best fifth notation|64b-edo]].

==== Evo flavor ====

@@ Line 16: / Line 16: @@
 === Subsets and supersets ===
-Since 32 factors into primes as 2<sup>5</sup>, 32edo contains subset edos {{EDOs| 2, 4, 8, and 16 }}.
+Since 32 is a power of two and factors as 2<sup>5</sup>, 32edo contains subset edos {{EDOs| 2, 4, 8, and 16 }}.
+See also [[32nd-octave temperaments]].
 == Intervals ==
@@ Line 290: / Line 292: @@
 == Notation ==
-=== Ups and downs notation ===
+=== Stein–Zimmermann–Gould notation ===
-edo can be notated with [[ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
+[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
-{{Ups and downs sharpness}}
+{{Sharpness-sharp5-szg}}
-Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
+If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using triple arrows.
-{{Sharpness-sharp5}}
+=== Kite's ups and downs notation ===
+edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
-If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using triple arrows.
+{{Ups and downs sharpness}}
 === Sagittal notation ===
-This notation uses the same sagittal sequence as [[25edo#Sagittal notation|25-EDO]], and is a subset of the notation for [[64edo#Second-best fifth notation|64b]].
+This notation uses the same sagittal sequence as [[25edo #Sagittal notation|25edo]], and is a subset of the notation for [[64edo #Second-best fifth notation|64b-edo]].
 ==== Evo flavor ====