Palingenetic chords: Difference between revisions

@@ Line 1: / Line 1: @@
-A '''palingenetic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[1701/1700]], the palingenetic comma.  Currently, there are only a handful of palingenetic chords known.  Assuming we stick to the 27-odd-limit, we have two known triads and one known tetrad.
+A '''palingenetic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[1701/1700]], the palingenetic comma. Currently, there are only a handful of palingenetic chords known.
-The known palingenetic triads are:
+There is a 21-odd-limit palingenetic triad:
+* 1-10/9-9/5 with steps 10/9-34/21-10/9.
+Assuming we stick to the 27-odd-limit, we have two known triads and one known tetrad.
+The known 27-odd-limit palingenetic triads are:
 * 1-34/27-3/2 with steps 34/27-25/21-4/3, and its inversions; dubbed the "palingenetic major triad"
 * 1-25/21-3/2 with steps 25/21-34/27-4/3, and its inversions; dubbed the "palingenetic minor triad"
-The known palingenetic tetrads are:
+The known 27-odd-limit palingenetic tetrads are:
 * 1-18/17-32/27-5/4 with steps 18/17-28/25-135/128-8/5, and its inversions