Tridecapyth comma: Difference between revisions

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| Ratio = 3489660928/3486784401

| Name = tridecapyth comma

| Color name = s33o3, trisatho 3rd, Trisatho comma

| Comma = yes

}}

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.~~

The '''tridecapyth comma''' ({{Monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401), also described as the ''tridecimal schisma'', is an [[unnoticeable comma]] in [[13-limit|13-limit just intonation]] which measures roughly 1.43 {{cent}}. 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]])10. 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.

== Etymology ==

This comma was named by [[Aura]] in 2021.

== See also ==

* [[Tridecimal schisma]] (disambiguation page)

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

[[Category:Commas named after polymaths]]

@@ Line 2: / Line 2: @@
 | Ratio = 3489660928/3486784401
 | Name = tridecapyth comma
+| Color name = s<sup>3</sup>3o3, trisatho 3rd,<br>Trisatho comma
 | Comma = yes
 }}
-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.
+The '''tridecapyth comma''' ({{Monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401), also described as the ''tridecimal schisma'', is an [[unnoticeable comma]] in [[13-limit|13-limit just intonation]] which measures roughly 1.43 {{cent}}. 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.
+== Etymology ==
+This comma was named by [[Aura]] in 2021.
+== See also ==
+* [[Tridecimal schisma]] (disambiguation page)
+[[Category:Commas named for the intervals they stack]]
+[[Category:Commas named after polymaths]]