Fractional sharp notation: Difference between revisions

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== For rank-2 temperaments ==

Some [[rank-2 temperament]]s can be notated, but only ones in which the [[period]] and [[generator]] can be expressed as an FSN interval category. For example, [[neutral]] temperament can have the generator notated as n3, and [[porcupine]] temperament can have the generator notated as 1/3-dM2, because the difference between the generator and [[9/8]] (represented by [[81/80]], [[45/44]] and etc.) is equated to 1/3 of an [[2187/2048|apotome]] in porcupine. [[Semaphore]] is an example of a temperament which does not qualify, because there is no FSN category that implies a semifourth. [[Fractional-octave temperament]]s are not supported, except (peculiarly) [[7th-octave ~~temperament~~]]s since 1 step of [[7edo]] is precisely [[9/8]] lowered by 2/7 of an apotome, allowing it to be notated as a 2/7-dM2.

Some [[rank-2 temperament]]s can be notated, but only ones in which the [[period]] and [[generator]] can be expressed as an FSN interval category. For example, [[neutral]] temperament can have the generator notated as n3, and [[porcupine]] temperament can have the generator notated as 1/3-dM2, because the difference between the generator and [[9/8]] (represented by [[81/80]], [[45/44]] and etc.) is equated to 1/3 of an [[2187/2048|apotome]] in porcupine. [[Semaphore]] is an example of a temperament which does not qualify, because there is no FSN category that implies a semifourth. [[Fractional-octave temperament]]s are not supported, except (peculiarly) 7th-octave temperaments such as [[whitewood]] since 1 step of [[7edo]] is precisely [[9/8]] lowered by 2/7 of an apotome, allowing it to be notated as a 2/7-dM2.

== Examples ==

[[17edo]]:

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 == For rank-2 temperaments ==
-Some [[rank-2 temperament]]s can be notated, but only ones in which the [[period]] and [[generator]] can be expressed as an FSN interval category.  For example, [[neutral]] temperament can have the generator notated as n3, and [[porcupine]] temperament can have the generator notated as 1/3-dM2, because the difference between the generator and [[9/8]] (represented by [[81/80]], [[45/44]] and etc.) is equated to 1/3 of an [[2187/2048|apotome]] in porcupine. [[Semaphore]] is an example of a temperament which does not qualify, because there is no FSN category that implies a semifourth. [[Fractional-octave temperament]]s are not supported, except (peculiarly) [[7th-octave temperament]]s since 1 step of [[7edo]] is precisely [[9/8]] lowered by 2/7 of an apotome, allowing it to be notated as a 2/7-dM2.
+Some [[rank-2 temperament]]s can be notated, but only ones in which the [[period]] and [[generator]] can be expressed as an FSN interval category.  For example, [[neutral]] temperament can have the generator notated as n3, and [[porcupine]] temperament can have the generator notated as 1/3-dM2, because the difference between the generator and [[9/8]] (represented by [[81/80]], [[45/44]] and etc.) is equated to 1/3 of an [[2187/2048|apotome]] in porcupine. [[Semaphore]] is an example of a temperament which does not qualify, because there is no FSN category that implies a semifourth. [[Fractional-octave temperament]]s are not supported, except (peculiarly) 7th-octave temperaments such as [[whitewood]] since 1 step of [[7edo]] is precisely [[9/8]] lowered by 2/7 of an apotome, allowing it to be notated as a 2/7-dM2.
 == Examples ==
 [[17edo]]: