Chalmersia: Difference between revisions

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The '''chalmersia'''<ref>As in [http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]. There are other similar names that this comma sometimes goes by, including ''chalmersma'', ''chalmersima'', ''chalmerisma'' and ''chalmersisma'', though at least some of these are mistakes.</ref> is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''123201/123200''' and a size of approximately 0.014{{cent}}. Named in honor of [[John H. Chalmers]], it is the smallest 13-limit [[superparticular]] comma. Tempering it out equates [[351/350]] and [[352/351]], thus splitting [[176/175]] into two, and equates 385/351 and 351/320, thus splitting [[77/64]] into two – these are features highly characteristic of '''chalmers temperaments'''. In addition, it equates a stack consisting of a [[729/512]] tritone plus a [[169/128]] grave fourth with a stack consisting of a [[25/16]] augmented fifth plus a [[77/64]] minor third.

The '''chalmersia''' is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''123201/123200''' and a size of approximately 0.014{{cent}}. Named in honor of [[John H. Chalmers]], it is the smallest 13-limit [[superparticular]] comma. Tempering it out equates [[351/350]] and [[352/351]], thus splitting [[176/175]] into two, and equates 385/351 and 351/320, thus splitting [[77/64]] into two – these are features highly characteristic of '''chalmers temperaments'''. In addition, it equates a stack consisting of a [[729/512]] tritone plus a [[169/128]] grave fourth with a stack consisting of a [[25/16]] augmented fifth plus a [[77/64]] minor third.

== Etymology ==

The chalmersia was named by [[Gene Ward Smith]] in 2003 after [[John Chalmers]].

:''The remarkable 123201/123200 might be named the chalmersia, since John Chalmers is presumably the first to see it.''

— Gene Ward Smith, [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_7316.html ''Nameable 13-limit''].

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

~~== References ==~~

~~<references/>~~

[[Category:Chalmers]]

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-The '''chalmersia'''<ref>As in [http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]. There are other similar names that this comma sometimes goes by, including ''chalmersma'', ''chalmersima'', ''chalmerisma'' and ''chalmersisma'', though at least some of these are mistakes.</ref> is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''123201/123200''' and a size of approximately 0.014{{cent}}. Named in honor of [[John H. Chalmers]], it is the smallest 13-limit [[superparticular]] comma. Tempering it out equates [[351/350]] and [[352/351]], thus splitting [[176/175]] into two, and equates 385/351 and 351/320, thus splitting [[77/64]] into two – these are features highly characteristic of '''chalmers temperaments'''. In addition, it equates a stack consisting of a [[729/512]] tritone plus a [[169/128]] grave fourth with a stack consisting of a [[25/16]] augmented fifth plus a [[77/64]] minor third.
+The '''chalmersia''' is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''123201/123200''' and a size of approximately 0.014{{cent}}. Named in honor of [[John H. Chalmers]], it is the smallest 13-limit [[superparticular]] comma. Tempering it out equates [[351/350]] and [[352/351]], thus splitting [[176/175]] into two, and equates 385/351 and 351/320, thus splitting [[77/64]] into two – these are features highly characteristic of '''chalmers temperaments'''. In addition, it equates a stack consisting of a [[729/512]] tritone plus a [[169/128]] grave fourth with a stack consisting of a [[25/16]] augmented fifth plus a [[77/64]] minor third.
+== Etymology ==
+The chalmersia was named by [[Gene Ward Smith]] in 2003 after [[John Chalmers]].
+:''The remarkable 123201/123200 might be named the chalmersia, since John Chalmers is presumably the first to see it.''
+— Gene Ward Smith, [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_7316.html ''Nameable 13-limit''].
 == See also ==
 * [[Unnoticeable comma]]
 * [[List of superparticular intervals]]
-== References ==
-<references/>
 [[Category:Chalmers]]