38edo: Difference between revisions

@@ Line 1: / Line 1: @@
 {{Infobox ET
 | Prime factorization = 2 x 19
-| Step size = 31.579¢
+| Step size = 31.57895¢
-| Fifth = 22\19 = 694.737¢
+| Fifth = 22\38 (695¢)
-| Major 2nd = 6\38 = 189¢
+| Major 2nd = 6\38 (189¢)
-| Minor 2nd = 4\38 = 126¢
+| Minor 2nd = 4\38 (126¢)
-| Augmented 1sn = 2\38 = 63¢
+| Augmented 1sn = 2\38 (63¢)
 }}
-'''38edo''' divides the octave into 38 equal parts of 31.578947 [[cent]]s. Since 38 = 2*19, it can be thought of as two parallel [[19edo]]s. It [[tempers out]] the same [[5-limit]] commas as 19edo, namely [[81/80]], [[3125/3072]] and [[15625/15552]]. In the [[7-limit]], we can add [[50/49]], and tempering out 81/80 and 50/49 gives [[injera]] temperament, for which 38 is the [[optimal patent val]]. In the [[11-limit]], we can add 121/120 and 176/175.
+'''38edo''' divides the octave into 38 equal parts of about 31.6 [[cent]]s. Since 38 = 2*19, it can be thought of as two parallel [[19edo]]s. It [[tempers out]] the same [[5-limit]] commas as 19edo, namely [[81/80]], [[3125/3072]] and [[15625/15552]]. In the [[7-limit]], we can add [[50/49]], and tempering out 81/80 and 50/49 gives [[injera]] temperament, for which 38 is the [[optimal patent val]]. In the [[11-limit]], we can add 121/120 and 176/175.
 {{Primes in edo|38}}