Counterquectisma: Difference between revisions

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{{Novelty}}
{{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''', alternately '''deltapion comma''', is an unnoticeable 5-limit comma.  
'''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]]
[[Category:Commas named by translating something into another language]]

Revision as of 10:35, 12 January 2025

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

Interval information
Factorization 2-500 × 3314 × 5
Monzo [-500 314 1
Size in cents 0.1839856¢
Names counterquectisma,
deltapion comma,
Color name Quintritrilayo comma
FJS name [math]\displaystyle{ \text{45d}{-31}^{5} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 1000
Weil height (log2 max(n, d)) 1000
Wilson height (sopfr(nd)) 1947
Comma size unnoticeable
Open this interval in xen-calc

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.