Praveensma: Difference between revisions

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 {{Infobox Interval
-| JI glyph =
 | Ratio = 31213/31104
-| Monzo = -7 -5 0 4 0 1
-| Cents = 6.05628
 | Name = praveensma
 | Color name = thoquadzo comma
-| FJS name =
+| Comma = yes
-| Sound =
 }}
-The '''praveensma''', '''31213/31104''' is a 13 limit comma which is the difference between four 7/6's and a 24/13.
+The '''praveensma''', '''31213/31104''', is a [[small comma|small]] [[13-limit]] [[comma]] which is the difference between [[24/13]] and a stack of four [[7/6]]'s.
-[[Category:Small commas]]
+It factors into simpler commas as ([[325/324]])([[2401/2400]]) or ([[385/384]])([[4459/4455]]).
-[[Category:13-limit]]
+== Temperaments ==
+Tempering out this comma in the 13-limit results in the '''praveensmic temperament'''. Notable edos tempering it out are 41edo, 50edo, 63edo, 104edo, and 167edo.
+It is also tempered out in 13-limit [[superpyth]] temperament, which maps 13/8 to the doubly-augmented fourth.
+== Scales ==
+=== 9-note praveensmic mos ===
+A chain of 7/6's tempering out the praveensma gives a [[mos]] with four 12:13:14 and four 1/(14:13:12) chords, which makes it suitable for secundal harmony. Furthermore, two instances of this mos separated by a 3/2 gives a 3-mos with lots of consonant 13-limit chords:
+* four copies of 12:13:14:16
+* four copies of 12:13:14:18:21
+* inversions of these chords
+* eight copies of 12:14:18:21
+[[Category:Praveensmic]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]
+{{todo|add etymology|research|comment=is it named after Praveen Venkataramana?}}