Chalmersia: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 123201/123200 | | Ratio = 123201/123200 | ||
| Monzo = -6 6 -2 -1 -1 2 | | Monzo = -6 6 -2 -1 -1 2 | ||
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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 | 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. | ||
== See also == | == See also == | ||
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[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Unnoticeable commas]] | [[Category:Unnoticeable commas]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Chalmers]] | [[Category:Chalmers]] | ||
Revision as of 20:03, 27 April 2022
| Interval information |
reduced
The chalmersia[1] is an unnoticeable 13-limit comma with a ratio of 123201/123200 and a size of approximately 0.014 ¢. 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.
See also
References
- ↑ As in 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.