31edo: Difference between revisions

Line 554:

== Notation ==

=== Ups and ~~Downs~~ notation ===

=== Ups and downs notation ===

Spoken as up, sharp, upsharp, etc. Note that up can be respelled as downsharp. The gamut runs D, ^D/vD#, D#, Eb, ^Eb/vE, E, ^E, vF, F etc.

=== ~~Stein–Zimmermann accidentals~~ ===

=== Neutral chain-of-fifths notation ===

~~{{Sharpness~~-~~sharp2}}~~

[[File:31edo CoF semi and sesqui.png|thumb|500x500px|Circle of fifths in 31edo showing equivalences and quartertone accidentals]]

Since a sharp raises by 2 steps, 31edo can be notated using quarter-tone accidentals. Between C and D (do and re) for example, we have the following notes:

~~=== Neutral circle-of-fifths notation ===~~

~~[[Neutral circle-of-fifths notation]] is much like ups and downs notation. Between C and D (do and re) for example, we have the following notes:~~

{| class="wikitable"

|-

Line 601:

|}

=== ~~Circle~~-of-fifths notation ===

==== Stein–Zimmermann accidentals ====

[[~~Circle~~-of-fifths notation]] uses double sharps and double flats:

=== Chain-of-fifths notation ===

[[Chain-of-fifths notation]] uses double sharps and double flats only:

{| class="wikitable"

|-

Line 655:

Line 658:

* F𝄫 = E{{demiflat2}}

~~31edo can be notated with a seperate semi/sesqui sharp/flat chain (like~~ [[17edo]]), ~~with its own enharmonic circle of fifths.~~

=== Sagittal notation ===

[[~~File:31edo CoF semi~~ and ~~sesqui.png~~|~~center|thumb|500x500px~~|~~Circle of fifths in 31edo showing enharmonic equivalences and half-sharps~~]]

This notation uses the same sagittal sequence as edos [[17edo #Sagittal notation|17]], [[24edo #Sagittal notation|24]], and [[38edo #Sagittal notation|38]], and is a subset of the notation for [[62edo #Sagittal notation|62edo]].

~~=== Sagittal notation ===~~

This notation uses the same sagittal sequence as EDOs [[17edo#Sagittal notation|17]], [[24edo#Sagittal notation|24]], and [[38edo#Sagittal notation|38]], and is a subset of the notation for [[62edo#Sagittal notation|62-EDO]].

==== Evo flavor ====

Line 694:

Line 695:

</imagemap>

Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is ~~also a Stein-Zimmerman~~ notation.

Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is identical to Stein–Zimmerman notation.

== Relationship to 12edo ==

@@ Line 554: / Line 554: @@
 == Notation ==
-=== Ups and Downs notation ===
+=== Ups and downs notation ===
 Spoken as up, sharp, upsharp, etc. Note that up can be respelled as downsharp. The gamut runs D, ^D/vD#, D#, Eb, ^Eb/vE, E, ^E, vF, F etc.
-{{sharpness-sharp2a}}
+{{Sharpness-sharp2a}}
-=== Stein–Zimmermann accidentals ===
+=== Neutral chain-of-fifths notation ===
-{{Sharpness-sharp2}}
+[[File:31edo CoF semi and sesqui.png|thumb|500x500px|Circle of fifths in 31edo showing equivalences and quartertone accidentals]]
+Since a sharp raises by 2 steps, 31edo can be notated using quarter-tone accidentals. Between C and D (do and re) for example, we have the following notes:
-=== Neutral circle-of-fifths notation ===
-[[Neutral circle-of-fifths notation]] is much like ups and downs notation. Between C and D (do and re) for example, we have the following notes:
 {| class="wikitable"
 |-
@@ Line 601: / Line 601: @@
 |}
-=== Circle-of-fifths notation ===
+==== Stein–Zimmermann accidentals ====
-[[Circle-of-fifths notation]] uses double sharps and double flats:
+{{Sharpness-sharp2}}
+=== Chain-of-fifths notation ===
+[[Chain-of-fifths notation]] uses double sharps and double flats only:
 {| class="wikitable"
 |-
@@ Line 655: / Line 658: @@
 * F𝄫 = E{{demiflat2}}
-edo can be notated with a seperate semi/sesqui sharp/flat chain (like [[17edo]]), with its own enharmonic circle of fifths.
+=== Sagittal notation ===
-[[File:31edo CoF semi and sesqui.png|center|thumb|500x500px|Circle of fifths in 31edo showing enharmonic equivalences and half-sharps]]
+This notation uses the same sagittal sequence as edos [[17edo #Sagittal notation|17]], [[24edo #Sagittal notation|24]], and [[38edo #Sagittal notation|38]], and is a subset of the notation for [[62edo #Sagittal notation|62edo]].
-=== Sagittal notation ===
-This notation uses the same sagittal sequence as EDOs [[17edo#Sagittal notation|17]], [[24edo#Sagittal notation|24]], and [[38edo#Sagittal notation|38]], and is a subset of the notation for [[62edo#Sagittal notation|62-EDO]].
 ==== Evo flavor ====
 <imagemap>
@@ Line 694: / Line 695: @@
 </imagemap>
-Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation.
+Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is identical to Stein–Zimmerman notation.
 == Relationship to 12edo ==