Punctisma: Difference between revisions

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-The '''punctisma''', with a ratio of '''43904/43875''', is the difference between three [[15/14]] semitones and a [[16/13]] neutral third. Its tempering out is characteristic of the 10n family of edos, which approximate both of these intervals within a fraction of a cent. Surprisingly, it is also tempered out in [[159edo]], [[171edo]], and [[311edo]].  It was named by [[User:Jerdle|Jerdle]] and [[Aura]] from Latin [[Wiktionary: punctum #Latin|''pūnctum'']] ("point") based on both its relation to the 10n family of EDOs as well as its small size.
+The '''punctisma''', with a [[ratio]] of '''43904/43875''', is the difference between three [[15/14]] semitones and a [[16/13]] neutral third. It factors into ([[2401/2400]])([[4096/4095]]).
+== Temperaments ==
+Tempering out this comma is characteristic of the 10''n'' family of [[edo]]s, which approximate both 15/14 and 16/13 within a fraction of a cent. It is also tempered out by any temperament which tempers out both 2401/2400 and 4096/4095, such as [[41edo]], [[171edo]], and [[311edo]]. Perhaps surprisingly, [[159edo]] tempers it out as well.
+== Etymology ==
+This comma was named by [[User:Jerdle|Jerdle]] and [[Aura]] in 2023, from Latin [[Wiktionary: punctum #Latin|''pūnctum'']] ("point") based on both its relation to the 10''n'' family of edos as well as its small size.