Pythrabian comma
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Ratio | 94489280512/94143178827 |
Factorization | 2^{33} × 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 (log_{2} 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.