Prima: Difference between revisions

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The '''prima''' is 1 step of [[12276edo]], useful for measurement of 11-limit intervals and commas. Given that [[12276edo]] factors as 2<sup>2</sup> × 3<sup>2</sup> × 11 × 31, a prima is a whole number division of one degree of [[12edo]], [[22edo]], [[31edo]], [[99edo]] and [[198edo]]. The [[Pythagorean comma]] is represented by 240 prima, and the [[syntonic comma]] by 220 (and the [[schisma]] is therefore represented as 20 prima). A prima is almost exactly three [[Tuning unit|tuning units]]. As one degree of [[12edo]] is 1023 prima, one [[cent]] is exactly 10.23 prima.
The '''prima''' is a [[unit of interval size]] equal to 1 step of [[12276edo]], useful for measurement of 11-limit intervals and commas. Given that [[12276edo]] factors as 2<sup>2</sup> × 3<sup>2</sup> × 11 × 31, a prima is a whole number division of one degree of [[12edo]], [[22edo]], [[31edo]], [[99edo]] and [[198edo]]. The [[Pythagorean comma]] is represented by 240 prima, and the [[syntonic comma]] by 220 (and the [[schisma]] is therefore represented as 20 prima). A prima is almost exactly three [[Tuning unit|tuning units]]. As one degree of [[12edo]] is 1023 prima, one [[cent]] is exactly 10.23 prima.


== See also ==
== See also ==