Counterquectisma: Difference between revisions

BudjarnLambeth (talk | contribs)
m Niche
m Cleanup
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
{{niche}}
{{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
}}
}}
'''Counterquectisma''', alternatively known as the '''deltapion comma''', is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]].  
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 '''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.
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]]. 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]]. 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]]