Praveensma: Difference between revisions

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The '''praveensma''', '''31213/31104''' is a 13 limit comma which is the difference between ~~four 7/6's and a~~ 24/13~~. Notable edos tempering it out are 41edo, 63edo, 104edo, and 167edo, all [[Magic|magic temperaments~~]], and ~~50edo,~~ a [[~~meantone temperament~~]].

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.

== ~~The~~ 9 note praveensmic ~~MOS~~ ==

== Temperaments ==

A chain of 7/6's tempering out the praveensma gives ~~an 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:

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.

== 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

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* inversions of these chords

* eight copies of 12:14:18:21

[[Category:Praveensmic]]

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-The '''praveensma''', '''31213/31104''' is a 13 limit comma which is the difference between four 7/6's and a 24/13. Notable edos tempering it out are 41edo, 63edo, 104edo, and 167edo, all [[Magic|magic temperaments]], and 50edo, a [[meantone temperament]].
+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.
-== The 9 note praveensmic MOS ==
+== Temperaments ==
-A chain of 7/6's tempering out the praveensma gives an 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:
+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.
+== 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
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 * inversions of these chords
 * eight copies of 12:14:18:21
+[[Category:Praveensmic]]