Vulture comma: Difference between revisions
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The '''vulture comma''' ([[monzo]]: {{monzo| 24 -21 4 }}, [[ratio]]: 10485760000/10460353203) 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. | The '''vulture comma''' ([[monzo]]: {{monzo| 24 -21 4 }}, [[ratio]]: 10485760000/10460353203) 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]] Retroptolemaic whole tones fall short of a [[40/27]] Ptolemaic Wolf Fifth. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 23:59, 1 January 2025
| Interval information |
The vulture comma (monzo: [24 -21 4⟩, ratio: 10485760000/10460353203) 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 Retroptolemaic whole tones fall short of a 40/27 Ptolemaic Wolf Fifth.
Temperaments
Tempering out this comma leads to the vulture family of temperaments.
Etymology
The vulture comma was named by Paul Erlich in 2002[1].