Counterquectisma: Difference between revisions
Created page with "{{Infobox Interval |Monzo = -500 314 1 |Name = counterquectisma, deltapion comma, |Color name = Quintritrilayo comma |Comma = yes }} '''Counterquectisma''', alternately '''del..." |
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{{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 | ||
}} | }} | ||
'''Counterquectisma''', | '''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 '''counterquectismic''' temperament. Equal tempereaments tempering out this comma include {{EDOs|359, 665, 1024, 1689, 3684, 4349, 7368, 8033}}. | 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 (→ [[Very high accuracy temperaments #Counterquectismic]]). 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]]. First 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. The second 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 comma was named by [[Eliora]]. First 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. The second 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]]. | ||
[[Category:Commas named by translating something into another language]] | |||
Latest revision as of 22:26, 10 August 2025
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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
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 (→ Very high accuracy temperaments #Counterquectismic). Equal tempereaments tempering out this comma include 359, 665, 1024, 1689, 3684, 4349, 7368, 8033 among others.
Etymology
The comma was named by Eliora. First 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. The second 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.