User:Xenllium/Xenllium's microtonal notation: Difference between revisions

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[[File:Xenllium's_microtonal_notation.png]]
[[File:Xenllium's_microtonal_notation.png]]


This notation is valid for any tuning system in which chromatic semitone is represented by between 1 and 16 steps. Alternatively, [[EDO]]s with [[sharpness]] value between 1 and 16 can apply this notation.
This notation is valid for any tuning system in which chromatic semitone is represented by between 1 and 16 steps. Alternatively, [[EDO]]s with [[sharpness]] value between 1 and 16 can apply this notation. Not only for EDOs, this notation can be used for some [[Regular temperament|regular tunings]] which have 7-tone MOS or 1/7-octave period.


== Symbol set ==
== Symbol set ==
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The symbol set comprises traditional accidentals (sharps, flats, and naturals), Stein-Zimmermann quartertone accidentals (semisharps and semiflats), and additional symbols to represent microtone intervals. Some accidentals in this notation are borrowed from [[Helmholtz-Ellis notation]] and arranged to represent microtone intervals including quarter-tone, sixth-tone, eighth-tone, tenth-tone, twelfth-tone, fourteenth-tone and sixteenth-tone.
The symbol set comprises traditional accidentals (sharps, flats, and naturals), Stein-Zimmermann quartertone accidentals (semisharps and semiflats), and additional symbols to represent microtone intervals. Some accidentals in this notation are borrowed from [[Helmholtz-Ellis notation]] and arranged to represent microtone intervals including quarter-tone, sixth-tone, eighth-tone, tenth-tone, twelfth-tone, fourteenth-tone and sixteenth-tone.


1) The traditional accidentals, as specified in this microtonal notation, modify the note by the sharpness value, which equals the steps of a chromatic semitone (apotome, [[2187/2048]]).
1) The traditional accidentals, as specified in this microtonal notation, modify the note by a chromatic semitone (apotome, [[2187/2048]]).


2) The Stein-Zimmermann quartertone accidentals modify the note by half of a chromatic semitone.
2) The Stein-Zimmermann quartertone accidentals modify the note by half of a chromatic semitone.
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6) To modify the note by around 1/16 of a chromatic semitone, use symbols for undevicesimal comma, tridecimal third-tone or raising undecimal quartertone in Helmholtz-Ellis notation.
6) To modify the note by around 1/16 of a chromatic semitone, use symbols for undevicesimal comma, tridecimal third-tone or raising undecimal quartertone in Helmholtz-Ellis notation.
== Usage guide ==
A usage guide for each sharpness value will be provided here.
=== Sharp-1 and sharp-2 ===
In sharp-1 EDOs ({{EDOs|12, 19, 26, 33, 40}} and [[47edo|47]] EDOs) and regular tunings which have [[5L 2s]] scale (eg. [[Pythagorean tuning|Pythagorean]], [[Meantone family|meantone]], [[Schismatic family|schismic]] and [[Archytas clan|superpyth]]), traditional notation can be used.
In sharp-2 EDOs ({{EDOs|17, 24, 31, 38, 45}} and [[52edo|52]] EDOs) and regular tunings which have [[3L 4s]] scale (i.e. [[neutral third scales]]), the Stein-Zimmermann quartertone accidentals can be used.
=== Sharp-3 and sharp-6 ===
In sharp-3 EDOs ({{EDOs|22, 29, 36, 43, 50, 57}} and [[64edo|64]] EDOs) and sharp-6 EDOs ({{EDOs|37, 44, 51, 58, 65, 72, 79, 86, 93}} and [[100edo|100]] EDOs), quartertone accidentals with combined arrow are used for modifying the note by 1/6 of a chromatic semitone. This accidentals can also be used for regular tunings which have [[1L 6s]] scale (eg. [[Porcupine family|porcupine]] and [[Schismatic family #Squirrel|squirrel]]) or [[2L 5s]] scale (eg. [[Gravity family|gravity]]).
=== Sharp-4 and sharp-8 ===
In sharp-4 EDOs ({{EDOs|27, 34, 41, 48, 55, 62, 69}} and [[76edo|76]] EDOs) and regular tunings which have [[6L 1s]] scale (eg. [[Tetracot family|tetracot]]), accidentals for 1/8-tone are used for modifying the note by a quarter of a chromatic semitone. This accidentals are used for modifying the note by a septimal comma in Helmholtz-Ellis notation.
In sharp-8 EDOs ({{EDOs|54, 61, 68, 75, 82, 89, 96, 103, 110}} and [[117edo|117]] EDOs) and regular tunings which have pseudo-equalized 5L 2s scale, accidentals for 1/16-tone are used for modifying the note by a 1/8 of a chromatic semitone. This accidentals are used for modifying the note by a vicesimotertial comma in Helmholtz-Ellis notation.


[[Category:Notation]]
[[Category:Notation]]