4375/4374: Difference between revisions

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'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] ~~which~~ is the ~~difference between~~ a stack of two [[27/25|large limmas]] ~~and~~ [[7/6]], the difference between a stack of four [[10/9|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5|classical minor thirds (6/5)]] [[octave reduction|octave-reduced]] and [[28/27]]. It is ~~the smallest 7-limit [[superparticular]] ratio. It is also~~ equal to the difference between a [[kleisma]] ~~(S252 × S26)~~ and a [[marvel comma]] ~~(S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])2~~.

'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a size of about 0.396 [[cent]]s. It is the smallest 7-limit [[superparticular]] ratio, being the amount by which a stack of two [[27/25|large limmas]] falls short of [[7/6]], (7/6)/(27/25)2, as is conveniently codified by its [[S-expression]] of S25/S27. It is also the difference between a stack of four [[10/9|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5|classical minor thirds (6/5)]] [[octave reduction|octave-reduced]] and [[28/27]]. In term of other commas, it is equal to the difference between a [[15625/15552|kleisma]] and a [[marvel comma]].

== Temperaments ==

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* [[List of superparticular intervals]]

== ~~Notes~~ ==

== References ==

[[Category:Ragismic]]

[[Category:Commas with unknown etymology]]

[[Category:Commas named after musical traditions]]

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 {{Wikipedia|Ragisma}}
-'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] which is the difference between a stack of two [[27/25|large limmas]] and [[7/6]], the difference between a stack of four [[10/9|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5|classical minor thirds (6/5)]] [[octave reduction|octave-reduced]] and [[28/27]]. It is the smallest 7-limit [[superparticular]] ratio. It is also equal to the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.
+'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a size of about 0.396 [[cent]]s. It is the smallest 7-limit [[superparticular]] ratio, being the amount by which a stack of two [[27/25|large limmas]] falls short of [[7/6]], (7/6)/(27/25)<sup>2</sup>, as is conveniently codified by its [[S-expression]] of S25/S27. It is also the difference between a stack of four [[10/9|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5|classical minor thirds (6/5)]] [[octave reduction|octave-reduced]] and [[28/27]]. In term of other commas, it is equal to the difference between a [[15625/15552|kleisma]] and a [[marvel comma]].
 == Temperaments ==
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 * [[List of superparticular intervals]]
-== Notes ==
+== References ==
 [[Category:Ragismic]]
 [[Category:Commas with unknown etymology]]
 [[Category:Commas named after musical traditions]]