Pythrabian comma: Difference between revisions

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The '''Pythrabian comma''' is the [[11-limit]] [[small comma]] '''94489280512/94143178827''', which measures roughly 6.35 [[cent]]s.  It is the interval which, when tempered out, equates [[11/8]] with a stack of twenty three [[3/2]] perfect fifths octave-reduced.  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]].
The '''Pythrabian comma''' is the [[11-limit]] [[small comma]] '''94489280512/94143178827''', which measures roughly 6.35 [[cent]]s.  It is their 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 comma]]s 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 ==
== See also ==

Revision as of 04:11, 4 May 2022

Interval information
Ratio 94489280512/94143178827
Factorization 233 × 3-23 × 11
Monzo [33 -23 0 0 1
Size in cents 6.352922¢
Name Pythrabian 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
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 their 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