Fractional sharp notation: Difference between revisions

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The '''fractional sharp notation''' (FSN) is a notation developed by [[User:CompactStar|CompactStar]] that is an extension of [[chain-of-fifths notation]], supporting a wide range of [[EDO]] and [[rank-2 temperament]] systems. It represents all intervals with conventional accidentals, but with sharps and flats extended to have an arbitrary rational amount, denoted by a superscript, such as #<sup>1/2</sup> for half-sharp, except for in the case of single and double accidentals. If ASCII compatibility is required, superscripts can be substituted for carets–in this case, #^(a/b) is usually preferred over #^a/b for clarity.

The sharp and flat accidentals are always taken to raise and lower by an augmented union or chromatic semitone. In interval naming, x-augmented (x-A) and x-diminished (x-d) raise and lower by x times a chromatic semitone. These are used in the same way as augmented and diminished normally are, but additionally, "augmented minor" and "diminished major" are used for intervals between minor and major. For example "1/3-augmented minor 3rd" (1/3-Am3) means a minor 3rd raised by 1/3 of a chromatic semitone (formerly, these were described as a "fraction of major" like 1/3-major, the updated version was suggested by [[User:Frostburn|Frostburn]]). Since 1/2-augmented minor and 1/2-diminished major mean the same thing, they are replaced with the more conventional term "neutral" (n).

The sharp and flat accidentals are always taken to raise and lower by an augmented union or chromatic semitone. In interval naming, x-augmented (x-A) and x-diminished (x-d) raise and lower by x times a chromatic semitone. These are used in the same way as augmented and diminished normally are, but additionally, "x-augmented minor" and "x-diminished major" are used for intervals between minor and major. For example "1/3-augmented minor 3rd" (1/3-Am3) means a minor 3rd raised by 1/3 of a chromatic semitone (formerly, these were described as a "fraction of major" like 1/3-major, the updated version was suggested by [[User:Frostburn|Frostburn]]). Since 1/2-augmented minor and 1/2-diminished major mean the same thing, they are replaced with the more conventional term "neutral" (n).

== For EDOs ==

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 The '''fractional sharp notation''' (FSN) is a notation developed by [[User:CompactStar|CompactStar]] that is an extension of [[chain-of-fifths notation]], supporting a wide range of [[EDO]] and [[rank-2 temperament]] systems. It represents all intervals with conventional accidentals, but with sharps and flats extended to have an arbitrary rational amount, denoted by a superscript, such as #<sup>1/2</sup> for half-sharp, except for in the case of single and double accidentals. If ASCII compatibility is required, superscripts can be substituted for carets–in this case, #^(a/b) is usually preferred over #^a/b for clarity.
-The sharp and flat accidentals are always taken to raise and lower by an augmented union or chromatic semitone. In interval naming, x-augmented (x-A) and x-diminished (x-d) raise and lower by x times a chromatic semitone. These are used in the same way as augmented and diminished normally are, but additionally, "augmented minor" and "diminished major" are used for intervals between minor and major. For example "1/3-augmented minor 3rd" (1/3-Am3) means a minor 3rd raised by 1/3 of a chromatic semitone (formerly, these were described as a "fraction of major" like 1/3-major, the updated version was suggested by [[User:Frostburn|Frostburn]]). Since 1/2-augmented minor and 1/2-diminished major mean the same thing, they are replaced with the more conventional term "neutral" (n).
+The sharp and flat accidentals are always taken to raise and lower by an augmented union or chromatic semitone. In interval naming, x-augmented (x-A) and x-diminished (x-d) raise and lower by x times a chromatic semitone. These are used in the same way as augmented and diminished normally are, but additionally, "x-augmented minor" and "x-diminished major" are used for intervals between minor and major. For example "1/3-augmented minor 3rd" (1/3-Am3) means a minor 3rd raised by 1/3 of a chromatic semitone (formerly, these were described as a "fraction of major" like 1/3-major, the updated version was suggested by [[User:Frostburn|Frostburn]]). Since 1/2-augmented minor and 1/2-diminished major mean the same thing, they are replaced with the more conventional term "neutral" (n).
 == For EDOs ==