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''' ({{monzo|legend=1| 33 -23 0 0 -1 }}, [[ratio]]: 94489280512/94143178827) is a [[small comma|small]] [[11-limit]] [[comma]], 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.

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).

~~== See also ==~~

* [[Small comma]]

[[Category:Alpharabian]]

[[Category:Pythrabian]]

[[Category:Commas named after polymaths]]

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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''' ({{monzo|legend=1| 33 -23 0 0 -1 }}, [[ratio]]: 94489280512/94143178827) is a [[small comma|small]] [[11-limit]] [[comma]], 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.
 It is tempered out in [[41edo]] and [[53edo]], where 11/8 is mapped to the triply-augmented second (AAA2, e.g. C&ndash;D&#x266F;&#x1D12A; or C to D triple-sharp).
-== See also ==
-* [[Small comma]]
 [[Category:Alpharabian]]
 [[Category:Pythrabian]]
 [[Category:Commas named after polymaths]]