Fractional-octave temperaments: Difference between revisions

@@ Line 124: / Line 124: @@
 Badness: 0.0269
+== 24th-octave temperaments ==
+===Chromium===
+Defined as the 72 & 624 temperament, and named after 24th element for being period 24.
+Subgroup: 2.3.5.7
+Comma list: 250047/250000, 49589822592/49433168575
+Mapping: 24 1 -6 18, 0 3 5 4
+Mapping generators: ~250/243, ~10/7
+Optimal tuning (CTE): ~10/7
+Vals: 72, 552, 624, ...
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 9801/9800, 46656/46585, 250047/250000
+Mapping: 24 1 -6 18 46 0 3 5 4 3
+Mapping generators: ~250/243, ~10/7
+Optimal tuning (CTE): ~10/7
+===13-limit===
+Subgroup: 2.3.5.7.11.13
+Comma list: 1716/1715, 2080/2079, 34398/34375, 39366/39325
+Mapping: 24 1 -6 18 46 -47 -13, 0 3 5 4 3 11
+Mapping generators: ~250/243, ~10/7
+Vals: 72, 552, 624, ...
+===17-limit===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 936/935, 1716/1715, 2080/2079, 2500/2499, 11016/11011
+Mapping: 24 1 -6 18 46 -47 -13, 0 3 5 4 3 11 9
+Mapping generators: ~35/34, ~10/7
+Vals: 72, 552, 624, ...
 == 37th-octave temperaments ==
 [[37edo]] is accurate for harmonics 5, 7, 11, and 13, so various 37th-octave temperaments actually make sense.