Pythrabian comma

Interval information

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]\displaystyle{ \text{ddd3}^{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	72.9136
Weil norm (log2 max(n, d))	72.9189
Wilson norm (sopfr(nd))	146
Comma size	small
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The Pythrabian comma (monzo: [33 -23 0 0 -1⟩, ratio: 94489280512/94143178827) is a small 11-limit comma, 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♯𝄪 or C to D triple-sharp).