4375/4374: Difference between revisions
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Improve intro, sort similar things together and avoid the suggestion that its basic equivalence is somehow a "consequence"/"derivation" from the S-expression. |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = ragisma | | Name = ragisma | ||
| Color name = | | Color name = zy<sup>4</sup>1, zoquadyo 1sn,<br>Zoquadyo comma | ||
| | | Comma = yes | ||
}} | }} | ||
{{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 == | ||
[[Category: | [[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. | ||
[[Category: | |||
[[Category: | == 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 == | |||
* [[List of superparticular intervals]] | |||
== References == | |||
[[Category:Ragismic]] | |||
[[Category:Commas with unknown etymology]] | |||
[[Category:Commas named after musical traditions]] | |||