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{{Wikipedia|Ragisma}} | |||
'''4375/4374''', the '''ragisma''', | '''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 == | |||
[[Tempering out]] this comma leads to the [[ragismic]] temperament, enabling [[ragismic chords]] in the [[27-odd-limit]]. See [[Ragismic family]] for the rank-3 family where it is tempered out. See [[Ragismic microtemperaments]] for a collection of rank-2 temperaments where it is tempered out. | |||
== Etymology == | |||
This comma was allegedly named by [[Erv Wilson]] no later than 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html#22220 Yahoo! Tuning Group | ''Re: What is a monzisma?'']</ref>. Interestingly, by 2004 people had already lost track of its origin and meaning<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10202 Yahoo! Tuning Group | ''Comma names'']</ref>. It is speculated that it could have been named after [[Indian]] ragas. | |||
== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
== References == | |||
[[Category:Ragismic]] | [[Category:Ragismic]] | ||
[[Category:Commas with unknown etymology]] | |||
[[Category:Commas named after musical traditions]] | |||