Tuesday, September 18, 2007
Scale of the Day: E Pythagorean Lydian mapped to the Triative
The E Pythagorean Lydian mapped to the Triative Scale. The process of mapping the Pythagorean just intervals within a 3/1 expanse involves swapping out the 1200-cent value of the 2/1 (octave) with the 1901.96-cent value of the 3/1. For example: the 3/2 perfect fifth is 701.96-cents in octave-space (1200 * (base-2-log of 3/2) = 701.96). In triative space the 3/2 is re-mapped to 1112.57-cents (1901.96 * (base-2-log of 3/2) = 1112.57). After setting the math aside, the intervals are fascinating to listen to.