Pythrabian comma
Jump to navigation
Jump to search
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 nd) | 72.9136 |
Weil height (log2 max(n, d)) | 72.9189 |
Wilson height (sopfr(nd)) | 146 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.56712 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.
It is tempered out in 41edo and 53edo, where 11/8 is mapped to the triply-augmented second (AAA2, e.g. C–D♯𝄪).