31edo: Difference between revisions

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While using double ~~sharp~~ and double ~~flat~~ may seem confusing because it alternates between C and D, it provides a way of writing chords that is consistent with traditional notation. For example, the subminor7 chord 12:14:18:21 is written like so:

While using double sharps and double flats may seem confusing because it alternates between C and D, it provides a way of writing chords that is consistent with traditional notation. For example, the subminor7 chord 12:14:18:21 is written like so:

* C / D♯ / G / A♯

* C♯ / D𝄪 / G♯ / A𝄪

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* D / E♯ / A / B♯

In 12edo, the enharmonic equivalences include C♯ = D♭, E♯ = F, and E = F♭. But in 31edo we have:

In 12edo, the enharmonic equivalences include {{nowrap|C♯ {{=}} D♭|E♯ {{=}} F}}, and {{nowrap|E {{=}} F♭}}. But in 31edo we have:

* C𝄪 = D{{demiflat2}}

* D𝄫 = C{{demisharp2}}

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

[[File:31edo CoF semi and sesqui.png|~~none~~|thumb|500x500px]]

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

=== Sagittal notation ===

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 |}
-While using double sharp and double flat may seem confusing because it alternates between C and D, it provides a way of writing chords that is consistent with traditional notation. For example, the subminor7 chord 12:14:18:21 is written like so:
+While using double sharps and double flats may seem confusing because it alternates between C and D, it provides a way of writing chords that is consistent with traditional notation. For example, the subminor7 chord 12:14:18:21 is written like so:
 * C / D♯ / G / A♯
 * C♯ / D𝄪 / G♯ / A𝄪
@@ Line 642: / Line 642: @@
 * D / E♯ / A / B♯
-In 12edo, the enharmonic equivalences include C♯ = D♭, E♯ = F, and E = F♭. But in 31edo we have:
+In 12edo, the enharmonic equivalences include {{nowrap|C♯ {{=}} D♭|E♯ {{=}} F}}, and {{nowrap|E {{=}} F♭}}. But in 31edo we have:
 * C𝄪 = D{{demiflat2}}
 * D𝄫 = C{{demisharp2}}
@@ Line 651: / Line 651: @@
 edo can be notated with a seperate semi/sesqui sharp/flat chain (like [[17edo]]), with its own enharmonic circle of fifths.
-[[File:31edo CoF semi and sesqui.png|none|thumb|500x500px]]
+[[File:31edo CoF semi and sesqui.png|center|thumb|500x500px|Circle of fifths in 31edo showing enharmonic equivalences and half-sharps]]
 === Sagittal notation ===