Chalmersia: Difference between revisions
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After doing a little digging, it appears that all of the names for this comma are derived from the temperament name, and so far, it seems that temperament was named after John H. Chalmers- perhaps this is the key to resolving the argument over this comma's names |
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The '''chalmersia''' is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''123201/123200''' and a value of approximately 0.014 [[cent]]s. 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 value of approximately 0.014 [[cent]]s. 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. | ||
Although "chalmersia" is the name that is primarily used for this article as it is the name for this comma on the [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'''. | Although "chalmersia" is the name that is primarily used for this article as it is the name for this comma on the [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'''. Regardless of the exact name used for this comma, it seems that the temperament itself was named in honor of [[John H. Chalmers]], and that all the various names are thus etymologically derived from the temperament name. | ||
== See also == | == See also == | ||
Revision as of 18:57, 26 December 2020
| Interval information |
chalmersma,
chalmersima,
chalmerisma,
chalmersisma
reduced
The chalmersia is an unnoticeable 13-limit comma with a ratio of 123201/123200 and a value of approximately 0.014 cents. 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.
Although "chalmersia" is the name that is primarily used for this article as it is the name for this comma on the Huygens-Fokker Foundation's interval list, there are other similar names that this comma sometimes goes by, including chalmersma, chalmersima, chalmerisma and chalmersisma. Regardless of the exact name used for this comma, it seems that the temperament itself was named in honor of John H. Chalmers, and that all the various names are thus etymologically derived from the temperament name.