4375/4374: Difference between revisions
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{{Wikipedia|Ragisma}} | |||
'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> | '''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and 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>. | ||
== 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>. | |||
== See also == | == See also == | ||
| Line 13: | Line 17: | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
== Notes == | |||
[[Category:Ragismic]] | [[Category:Ragismic]] | ||
Revision as of 11:46, 23 October 2024
| Interval information |
Zoquadyo comma
reduced
4375/4374, the ragisma, being the difference between a stack of two large limmas and 7/6, is a 7-limit unnoticeable comma. It is the smallest 7-limit superparticular ratio. It is tempered out in ragismic microtemperaments. 4375/4374 is also equal to (25/18)2/(27/14) and 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.
Etymology
This comma was allegedly named by Erv Wilson no later than 2001[1]. Interestingly, by 2004 people had already lost track of its origin and meaning[2].
See also
- Ragismic chords
- Ragismic family – the rank-3 family where it is tempered out
- Ragismic microtemperaments – a collection of rank-2 temperaments where it is tempered out
- Unnoticeable comma
- List of superparticular intervals