Pythrabian comma
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Ratio
94489280512/94143178827
Factorization
233 × 3-23 × 11
Monzo
[33 -23 0 0 1⟩
Size in cents
6.352922¢
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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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♯𝄪).