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)]]. 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''' is the [[13-limit]] [[unnoticeable comma]] '''3489660928/3486784401''', which measures roughly 1.43 [[cent]]s. It is the interval which, when tempered out, not only equates [[13/8]] with a stack of twenty [[3/2]] perfect fifths octave-reduced, and, consequently, a stack of four [[256/243]] Pythagorean limmas with [[16/13]], but also a stack of two [[Pythagorean comma]]s with the [[1053/1024]] tridecimal quartertone.