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, 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. | 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, 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. | ||
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[[Category:Pythrabian]] | [[Category:Pythrabian]] | ||
[[Category:Commas named after polymaths]] | [[Category:Commas named after polymaths]] | ||
Revision as of 13:06, 24 April 2025
| Interval information |
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♯𝄪 or C to D triple-sharp).