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 the smallest 7-limit [[superparticular]] ratio. It is tempered 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]] 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 [[15625/15552|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.

[[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]]

== Notes ==

[[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 the smallest 7-limit [[superparticular]] ratio. It is tempered 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]] 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 [[15625/15552|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>.
-[[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]]
+== Notes ==
+[[Category:Ragismic]]
+[[Category:Commas with unknown etymology]]
+[[Category:Commas named after musical traditions]]