Quectisma: Difference between revisions
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it's not really that mathematically interesting |
Elaborate |
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{{Mathematical interest}} | {{Mathematical interest}} | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = quectisma | | Name = quectisma | ||
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The '''quectisma''', {{monzo| 554 -351 1 }}, is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 0.108 [[cent]]s in size. It is the tiny interval between a stack of 351 [[3/2]]'s and [[5/4]], octave reduced. | |||
== Temperaments == | |||
[[Tempering out]] this comma leads to the '''quectismic''' temperament. [[Edo]]s with very accurate fifths such as [[665edo]] temper out this comma. This temperament, with its ultra-long [[chain of fifths]], has been used to [https://github.com/FloraCanou/temperament_evaluator/wiki/Precision-limits stress test] the [https://github.com/FloraCanou/temperament_evaluator Temperament Evaluator]. | |||
== | == Etymology == | ||
This comma was named by [[CompactStar]] in 2023, most likely after the SI prefix [[Wiktionary: quecto- #English|''quecto-'']]. | |||
[[Category:Quectismic]] | [[Category:Quectismic]] | ||
[[Category:Commas | [[Category:Commas named after their interval size]] | ||
Latest revision as of 10:00, 20 June 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 |
The quectisma, [554 -351 1⟩, is an unnoticeable 5-limit comma measuring about 0.108 cents in size. It is the tiny interval between a stack of 351 3/2's and 5/4, octave reduced.
Temperaments
Tempering out this comma leads to the quectismic temperament. Edos with very accurate fifths such as 665edo temper out this comma. This temperament, with its ultra-long chain of fifths, has been used to stress test the Temperament Evaluator.
Etymology
This comma was named by CompactStar in 2023, most likely after the SI prefix quecto-.