Praveensma: Difference between revisions
AthiTrydhen (talk | contribs) Created page with "test" Tags: Mobile edit Mobile web edit |
mNo edit summary |
||
| (20 intermediate revisions by 6 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | |||
| Ratio = 31213/31104 | |||
| Name = praveensma | |||
| Color name = thoquadzo comma | |||
| Comma = yes | |||
}} | |||
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. | |||
It factors into simpler commas as ([[325/324]])([[2401/2400]]) or ([[385/384]])([[4459/4455]]). | |||
== 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?}} | |||