Pythrabian comma

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Interval information
Ratio 94489280512/94143178827
Factorization 233 × 3-23 × 11
Monzo [33 -23 0 0 1
Size in cents 6.3529225¢
Name Pythrabian comma
Color name trisalo comma
FJS name [math]\text{ddd3}^{11}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 72.9136
Weil height (max(n, d)) 94489280512
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.56885 bits
Comma size small
open this interval in xen-calc

The Pythrabian comma is the 11-limit small comma 94489280512/94143178827, which measures roughly 6.35 cents. It is the interval which, when tempered out, equates 11/8 with a stack of twenty-three 3/2 perfect fifths octave-reduced, and also equates a stack of two Pythagorean commas with 33/32. The name "Pythrabian comma" comes from 11/8 and 3/2 both being the generators for Alpharabian tuning, with 3/2 additionally being the generator for Pythagorean tuning- however the name is even more appropriate in light of the aforementioned connection with both the Pythagorean comma and 33/32.

See also