4375/4374: Difference between revisions

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~~'''4375~~/~~4374'''~~, ~~the '''ragisma'''~~, ~~[[Monzo]]~~ {{~~Monzo~~|~~-1 -7 4 1~~}} (being the difference between a stack of two [[27/25|large limmas]] and [[7/6]]) is a [[7-limit]] [[unnoticeable comma]] 0.39576 [[cent]]s in size. It is temperead out in [[ragismic microtemperaments]].

{{Infobox Interval

| Name = ragisma

| Color name = zy41, zoquadyo 1sn, Zoquadyo comma

| Comma = yes

}}

[[Category:~~Interval~~]]

'''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]].

[[Category:~~7-limit~~]]

[[Category:~~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 ==

* [[List of superparticular intervals]]

== References ==

[[Category:Ragismic]]

[[Category:Commas with unknown etymology]]

[[Category:Commas named after musical traditions]]

@@ Line 1: / Line 1: @@
-'''4375/4374''', the '''ragisma''', [[Monzo]] {{Monzo|-1 -7 4 1}} (being the difference between a stack of two [[27/25|large limmas]] and [[7/6]]) is a [[7-limit]] [[unnoticeable comma]] 0.39576 [[cent]]s in size. It is temperead out in [[ragismic microtemperaments]].
+{{Infobox Interval
+| Name = ragisma
+| Color name = zy<sup>4</sup>1, zoquadyo 1sn,<br>Zoquadyo comma
+| Comma = yes
+}}
+{{Wikipedia|Ragisma}}
-[[Category:Interval]]
+'''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]].
-[[Category:7-limit]]
-[[Category: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 ==
+* [[List of superparticular intervals]]
+== References ==
+[[Category:Ragismic]]
+[[Category:Commas with unknown etymology]]
+[[Category:Commas named after musical traditions]]