Vulture comma: Difference between revisions
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The '''vulture comma''' ([[monzo]]: {{monzo| 24 -21 4 }}, [[ratio]]: 10 485 760 000 / 10 460 353 203) of 4.200 [[cent]]s, is the amount by which four grave fourth intervals of [[320/243]] exceed [[3/1]], in other words (320/243)<sup>4</sup>/3. It is also the amount by which a stack of four [[syntonic comma]]s falls short of the [[256/243]] Pythagorean limma, as well as the amount by which a stack of three [[729/640]] acute whole tones fall short of a [[40/27]] classic grave fifth. | The '''vulture comma''' ([[monzo]]: {{monzo| 24 -21 4 }}, [[ratio]]: 10 485 760 000 / 10 460 353 203) of 4.200 [[cent]]s, is the amount by which four grave fourth intervals of [[320/243]] exceed [[3/1]], in other words (320/243)<sup>4</sup>/3. It is also the amount by which a stack of four [[syntonic comma]]s falls short of the [[256/243]] Pythagorean limma, as well as the amount by which a stack of three [[729/640]] acute whole tones fall short of a [[40/27]] classic grave fifth. | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma leads to the [[vulture family]] of temperaments. | [[Tempering out]] this comma leads to the 5-limit [[vulture]] temperament. | ||
See [[Vulture family]] for the [[family of temperaments]] where it is tempered out. | |||
== Etymology == | == Etymology == | ||
The vulture comma was named by [[Paul Erlich]] in 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. | The vulture comma was named by [[Paul Erlich]] in 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. | ||
== | == References == | ||
[[Category:Vulture]] | [[Category:Vulture]] | ||
[[Category:Commas with unknown etymology]] | [[Category:Commas with unknown etymology]] | ||
Latest revision as of 09:18, 18 October 2026
| Interval information |
The vulture comma (monzo: [24 -21 4⟩, ratio: 10 485 760 000 / 10 460 353 203) of 4.200 cents, is the amount by which four grave fourth intervals of 320/243 exceed 3/1, in other words (320/243)4/3. It is also the amount by which a stack of four syntonic commas falls short of the 256/243 Pythagorean limma, as well as the amount by which a stack of three 729/640 acute whole tones fall short of a 40/27 classic grave fifth.
Temperaments
Tempering out this comma leads to the 5-limit vulture temperament.
See Vulture family for the family of temperaments where it is tempered out.
Etymology
The vulture comma was named by Paul Erlich in 2002[1].