Fractional sharp notation: Difference between revisions
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VERY WIP (I'll move it to the main namespace if it's finished.) | VERY WIP (I'll move it to the main namespace if it's finished.) | ||
This | The '''fractional sharp notation''' (FSN) is a notation developed by [[User:CompactStar|CompactStar]] that is largely an extension of [[circle-of-fifths notation]], which can be used for [[EDO]]s and secondarily for [[just intonation]]. It represents all intervals with conventional accidentals, but with sharps and flats extended to have an arbitrary rational amount, denoted by a superscript (like #<sup>1/2</sup> for half-sharp) except for in the case of single and double accidentals. This means that there is support for not only half-sharps and half-flats, but third-sharps, third-flats and so on, supporting almost all equal tunings. Multiples of [[7edo]] are not supported, but these are possible to be notated as subsets of larger EDOs, with [[14edo]] and [[21edo]] in particular as both subsets of [[42edo]]. | ||
== Accidentals == | any accident | ||
== Just intonation == | |||
(this part of the notation is the most likely to be scrapped/changed) | |||
=== Accidentals === | |||
{|class="wikitable" | {|class="wikitable" | ||
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Revision as of 04:32, 1 March 2024
VERY WIP (I'll move it to the main namespace if it's finished.)
The fractional sharp notation (FSN) is a notation developed by CompactStar that is largely an extension of circle-of-fifths notation, which can be used for EDOs and secondarily for just intonation. It represents all intervals with conventional accidentals, but with sharps and flats extended to have an arbitrary rational amount, denoted by a superscript (like #1/2 for half-sharp) except for in the case of single and double accidentals. This means that there is support for not only half-sharps and half-flats, but third-sharps, third-flats and so on, supporting almost all equal tunings. Multiples of 7edo are not supported, but these are possible to be notated as subsets of larger EDOs, with 14edo and 21edo in particular as both subsets of 42edo.
any accident
Just intonation
(this part of the notation is the most likely to be scrapped/changed)
Accidentals
| Prime limit | Comma | Sharps |
|---|---|---|
| 5 | 81/80 | 1/5 |
| 7 | 64/63 | 1/4 |
| 11 | 33/32 | 1/2 |
| 13 | 1053/1024 | 1/2 |
| 17 | 4131/4096 | 1/8 |
| 19 | 513/512 | 1/34 |
| 23 | 736/729 | 1/7 |