Vulture comma

Interval information

Ratio	10485760000/10460353203
Factorization	224 × 3-21 × 54
Monzo	[24 -21 4⟩
Size in cents	4.199837¢
Name	vulture comma
Color name	ssy42, Sasaquadyo comma
FJS name	[math]\displaystyle{ \text{m2}^{5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	66.5719
Weil norm (log2 max(n, d))	66.5754
Wilson norm (sopfr(nd))	131
Comma size	small
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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.