24th-octave temperaments: Difference between revisions

@@ Line 7: / Line 7: @@
 == Chromium (5-limit) ==
-{{Main|Chromium}}
+{{Main| Chromium }}
-The chromium temperament is defined by equating a stack of 24 [[256/243|porcupine commas]] with the octave. In 7-limit and higher, see [[Landscape microtemperaments#Chromium]].
+: ''For extensions, see [[Landscape microtemperaments #Chromium]].''
-Subgroup: 2.3.5
+The chromium temperament is defined by equating a stack of twenty-four [[250/243|porcupine commas]] with the octave.
-Comma list: {{monzo|-23 120 -72}}
+[[Subgroup]]: 2.3.5
-{{mapping|legend=1|24 37 54|0 3 5}}
+[[Comma list]]: {{monzo| -23 120 -72 }}
-: mapping generators: ~256/243 = 1\24, 109418989131512359209/76293945312500000000 = 617.287
+{{mapping|legend=1| 24 1 -6 | 0 3 5 }}
+: mapping generators: ~250/243, ~{{monzo| -8 42 -25 }}
-[[Support]]ing [[ET]]s: {{EDOs|72, 480, 552, 624, 696, 768, 1320}}, ...
+[[Optimal tuning]]s:
+* [[WE]]: ~250/243 = 50.0000{{c}}, ~{{monzo| -8 42 -25 }} = 617.2852{{c}}
+: [[error map]]: {{val| +0.007 -0.093 +0.120 }}
+* [[CWE]]: ~250/243 = 50.0000{{c}}, ~{{monzo| -8 42 -25 }} = 617.2852{{c}}
+: error map: {{val| 0.000 -0.099 +0.112 }}
-Badness: 0.36784
+{{Optimal ET sequence|legend=1| 72, …, 480, 552, 624, 1320, 1944 }}
+[[Badness]] (Sintel): 169
 {{Navbox fractional-octave}}