Phaotic comma: Difference between revisions

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finally split off the remainder of the etymological details into their own section
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The '''phaotic comma''', or '''phaotisma''' (from Ancient Greek ''pháos'' 'light'), is an [[unnoticeable comma|unnoticeable]] [[13-limit]] ([[2.3.5.13 subgroup]]) comma with the ratio '''256000/255879''', and a size of approximately 0.82{{cent}}. It separates a stack of two [[81/80|syntonic commas]] from [[40/39]], or three [[27/20]] acute fourths from [[16/13]] (up an octave). It factors into {{nowrap|([[4096/4095]])([[4375/4374]])}} or {{nowrap|([[6656/6561]])([[507/500]])<sup>&minus;1</sup>}}.
The '''phaotic comma''', or '''phaotisma''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] ([[2.3.5.13 subgroup]]) comma with the ratio '''256000/255879''', and a size of approximately 0.82{{cent}}. It separates a stack of two [[81/80|syntonic commas]] from [[40/39]], or three [[27/20]] acute fourths from [[16/13]] (up an octave). It factors into {{nowrap|([[4096/4095]])([[4375/4374]])}} or {{nowrap|([[6656/6561]])([[507/500]])<sup>&minus;1</sup>}}.


== Temperaments ==
== Temperaments ==
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== Etymology ==
== Etymology ==
This comma was finally named by [[Aura]] in 2021 after several failed attempts.  Its name comes from the Ancient Greek word [[Wiktionary: φάος #Ancient Greek|''pháos'']] ("light" or "window").
This comma was finally named by [[Aura]] in 2021 after several failed attempts.  Its name comes from the Ancient Greek word [[Wiktionary: φάος #Ancient Greek|''pháos'']] ("light").


== See also ==
== See also ==