Tridecapyth comma: Difference between revisions
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"Tridecimal schisma" is to an extent already in use. Remove from lemma. + etymology |
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The '''tridecapyth comma''' ({{Monzo|legend=1| 28 -20 0 0 0 1 }}, [[ratio]]: 3489660928/3486784401) is an [[unnoticeable comma | 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 for the intervals they stack]] | ||
[[Category:Commas named after polymaths]] | [[Category:Commas named after polymaths]] | ||
Latest revision as of 18:44, 4 May 2026
| Interval information |
Trisatho comma
The tridecapyth comma (monzo: [28 -20 0 0 0 1⟩, ratio: 3489660928/3486784401), also described as the tridecimal schisma, is an unnoticeable comma in 13-limit just intonation which measures roughly 1.43 ¢. It is the interval by which 13/8 exceeds a stack of twenty perfect fifths (3/2) octave reduced, and by which 16/13 falls short of a stack of four 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 tridecimal quartertone (1053/1024) is greater than a stack of two Pythagorean commas.
Etymology
This comma was named by Aura in 2021.
See also
- Tridecimal schisma (disambiguation page)