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~~. 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~~ ==

It factors into simpler commas as ([[325/324]])([[2401/2400]]) or ([[385/384]])([[4459/4455]]).

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 ~~copies~~ of this ~~MOS~~ separated by a 3/2 gives a 3-~~MOS~~ with lots of consonant 13-limit chords:

== 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:~~Small commas~~]]

[[Category:Praveensmic]]

[[Category:~~13-limit~~]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

{{todo|add etymology|research|comment=is it named after Praveen Venkataramana?}}

@@ Line 1: / Line 1: @@
 {{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. 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 ==
+It factors into simpler commas as ([[325/324]])([[2401/2400]]) or ([[385/384]])([[4459/4455]]).
-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 copies of this MOS separated by a 3/2 gives a 3-MOS with lots of consonant 13-limit chords:
+== 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:Small commas]]
+[[Category:Praveensmic]]
-[[Category:13-limit]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]
+{{todo|add etymology|research|comment=is it named after Praveen Venkataramana?}}