Prima: Difference between revisions
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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. A prima is almost exactly three tuning units. | 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 units. | ||
Revision as of 06:40, 26 December 2022
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.