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 == | ||
Revision as of 04:22, 22 August 2023
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 22 × 32 × 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 units. As one degree of 12edo is 1023 prima, one cent is exactly 10.23 prima.