Vulture comma
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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]\text{m2}^{5,5,5,5}[/math]
Special properties
reduced
Tenney height (log2 nd)
66.5719
Weil height (log2 max(n, d))
66.5754
Wilson height (sopfr(nd))
131
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.36227 bits
Comma size
small
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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 Acute Whole Tones fall short of a 40/27 Classic Grave 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].