Quartisma: Difference between revisions
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{{Infobox | {{Infobox interval | ||
| Ratio = 117440512/117406179 | | Ratio = 117440512/117406179 | ||
| Name = quartisma | | Name = quartisma | ||
| Line 6: | Line 6: | ||
}} | }} | ||
The '''quartisma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a ratio of '''117440512/117406179''' and a value of approximately 0.5 [[cent | The '''quartisma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a [[ratio]] of '''117440512/117406179''' and a value of approximately 0.5 [[cent]]s. It is significant on account of it being the interval between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in [[just intonation]] – this significance in relation to quartertones being the source of its name. | ||
== Temperaments == | |||
[[Tempering out]] this comma in the 11-limit leads to the '''quartismic''' temperament (→ [[Catalog of rank-4 temperaments #Quartismic (117440512/117406179)]]), or in the [[2.3.7.11 subgroup]], the '''quartic''' temperament. For a list of temperaments that temper it out, see [[The Quartercache]]. | |||
== Etymology == | |||
This comma was named by [[Aura]] in 2020. | |||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||
[[Category:Commas named for the intervals they stack]] | |||
Latest revision as of 15:35, 17 April 2026
| Interval information |
The quartisma is an unnoticeable 11-limit comma with a ratio of 117440512/117406179 and a value of approximately 0.5 cents. It is significant on account of it being the interval between a stack of five 33/32 quartertones and one 7/6 subminor third in just intonation – this significance in relation to quartertones being the source of its name.
Temperaments
Tempering out this comma in the 11-limit leads to the quartismic temperament (→ Catalog of rank-4 temperaments #Quartismic (117440512/117406179)), or in the 2.3.7.11 subgroup, the quartic temperament. For a list of temperaments that temper it out, see The Quartercache.
Etymology
This comma was named by Aura in 2020.