Compton family: Difference between revisions

5-limit compton is also known as ''aristoxenean''. It tempers out the Pythagorean comma and has a period of 1\12, so it is the 12edo circle of fifths with an independent dimension for the harmonic 5 - that is, it is equivalent to the root12(2).5 subgroup with 2^(7/12) mapped to 3/2. Equivalent generators are 5/4, 6/5, 10/9, 16/15 (the secor), 45/32, 135/128 and most importantly, 81/80. In terms of equal temperaments, it is the 12 & 72 temperament, and [[72edo]], [[84edo]] or [[240edo]] make for good tunings.