Tridecapyth comma: Difference between revisions

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The '''tridecapyth comma''' ({{monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401) is an [[unnoticeable comma|unnoticeable]] [[13-limit]] [[comma]] which measures roughly 1.43 [[cent]]s. It is the interval which ~~separates~~ [[13/8]] ~~and~~ a stack of twenty [[3/2|perfect fifths (3/2)]] octave reduced, and which ~~separates~~ [[16/13]] ~~and~~ a stack of four [[256/243|Pythagorean limmas (256/243)]]. It is perhaps more easily conceptualized as reaching [[13/4]] through ([[9/8]])<sup>10</sup>. In terms of commas, it is the ~~difference between the~~ [[1053/1024|tridecimal quartertone (1053/1024)]] ~~and~~ a stack of two [[Pythagorean comma]]s.

The '''tridecapyth comma''' ({{monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401) is an [[unnoticeable comma|unnoticeable]] [[13-limit]] [[comma]] which measures roughly 1.43 [[cent]]s. It is the interval by which [[13/8]] exceeds a stack of twenty [[3/2|perfect fifths (3/2)]] octave reduced, and by which [[16/13]] falls short of a stack of four [[256/243|Pythagorean limmas (256/243)]]. It is perhaps more easily conceptualized as reaching [[13/4]] through ([[9/8]])<sup>10</sup>. In terms of commas, it is the amount by which [[1053/1024|tridecimal quartertone (1053/1024)]] is greater than a stack of two [[Pythagorean comma]]s.

[[Category:Commas named for the intervals they stack]]

[[Category:Commas named after polymaths]]

~~[[Category:Commas named after controversial individuals]]~~

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-The '''tridecapyth comma''' ({{monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401) is an [[unnoticeable comma|unnoticeable]] [[13-limit]] [[comma]] which measures roughly 1.43 [[cent]]s. It is the interval which separates [[13/8]] and a stack of twenty [[3/2|perfect fifths (3/2)]] octave reduced, and which separates [[16/13]] and a stack of four [[256/243|Pythagorean limmas (256/243)]]. It is perhaps more easily conceptualized as reaching [[13/4]] through ([[9/8]])<sup>10</sup>. In terms of commas, it is the difference between the [[1053/1024|tridecimal quartertone (1053/1024)]] and a stack of two [[Pythagorean comma]]s.
+The '''tridecapyth comma''' ({{monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401) is an [[unnoticeable comma|unnoticeable]] [[13-limit]] [[comma]] which measures roughly 1.43 [[cent]]s. It is the interval by which [[13/8]] exceeds a stack of twenty [[3/2|perfect fifths (3/2)]] octave reduced, and by which [[16/13]] falls short of a stack of four [[256/243|Pythagorean limmas (256/243)]]. It is perhaps more easily conceptualized as reaching [[13/4]] through ([[9/8]])<sup>10</sup>. In terms of commas, it is the amount by which [[1053/1024|tridecimal quartertone (1053/1024)]] is greater than a stack of two [[Pythagorean comma]]s.
 [[Category:Commas named for the intervals they stack]]
 [[Category:Commas named after polymaths]]
-[[Category:Commas named after controversial individuals]]