Counterquectisma: Difference between revisions
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{{Mathematical interest}} | |||
{{Infobox Interval | {{Infobox Interval | ||
|Monzo = -500 314 1 | | Monzo = -500 314 1 | ||
|Name = counterquectisma, deltapion comma | | Name = counterquectisma, deltapion comma | ||
|Color name = Quintritrilayo comma | | Color name = Quintritrilayo comma | ||
|Comma = yes | | Comma = yes | ||
}} | }} | ||
''' | The '''counterquectisma''', alternatively known as the '''deltapion comma''', is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]]. | ||
== Temperaments == | == Temperaments == | ||
It is associated with systems which have a precise perfect fifth, such as [[359edo]] and [[665edo]]. Tempering it out in the 5-limit produces rank-2 | It is associated with systems which have a precise perfect fifth, such as [[359edo]] and [[665edo]]. Tempering it out in the 5-limit produces rank-2 [[counterquectismic]] temperament. Equal tempereaments tempering out this comma include {{EDOs| 359, 665, 1024, 1689, 3684, 4349, 7368, 8033 }} among others. | ||
== Etymology == | == Etymology == | ||
The comma was named by [[Eliora]]. | The comma was named by [[Eliora]]. The first name is by analogy with [[quectisma]], meaning that both are the same commas that reach [[5/4]] from a different angle, with two mappings converging from opposite ends in [[665edo]]. The second name derives from comma's monzo, number 500 being D in roman numerals, and phonetic alphabet for D is "delta", to which "pi" is added to signify 314, the decimal expansion of pi. | ||
[[Category:Counterquectismic]] | |||
[[Category:Commas named by translating something into another language]] | [[Category:Commas named by translating something into another language]] | ||
Latest revision as of 15:47, 17 January 2026
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Interval information |
deltapion comma
reduced harmonic
The counterquectisma, alternatively known as the deltapion comma, is an unnoticeable 5-limit comma.
Temperaments
It is associated with systems which have a precise perfect fifth, such as 359edo and 665edo. Tempering it out in the 5-limit produces rank-2 counterquectismic temperament. Equal tempereaments tempering out this comma include 359, 665, 1024, 1689, 3684, 4349, 7368, 8033 among others.
Etymology
The comma was named by Eliora. The first name is by analogy with quectisma, meaning that both are the same commas that reach 5/4 from a different angle, with two mappings converging from opposite ends in 665edo. The second name derives from comma's monzo, number 500 being D in roman numerals, and phonetic alphabet for D is "delta", to which "pi" is added to signify 314, the decimal expansion of pi.