Miscellaneous 7-limit temperaments: Difference between revisions

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 == Tolerant ==
 : ''For extensions, see [[Pentacircle clan #Tolerant]].''
+Tolerant tempers out the [[tolerant comma]], which the difference between an [[avicennma]] and a [[Pythagorean comma]]. This means [[175/128]] (~541.5{{c}}) is represented by an augmented third (C–E♯), so the temperament favors a somewhat sharp tuning for the perfect fifth. The only 11-limit extension that makes any sense to use is to temper out [[896/891]] and [[2200/2187]], from 179200/177147 = (896/891)⋅(2200/2187).
 [[Subgroup]]: 2.3.5.7
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 [[Optimal tuning]]s:
-* [[WE]]: ~2 = 1199.539{{c}}, ~3 = 1903.226{{c}}, ~5 = 2785.816{{c}}
+* [[WE]]: ~2 = 1199.5390{{c}}, ~3/2 = 703.6867{{c}}, ~5/4 = 386.7377{{c}}
-* [[CWE]]: ~2 = 1200.000{{c}}, ~3 = 1903.805{{c}}, ~5 = 2786.356{{c}}
+: [[error map]]: {{val| -0.461 +1.271 -0.498 -0.365 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 703.8051{{c}}, ~5/4 = 386.3558{{c}}
+: error map: {{val| 0.000 +1.850 +0.042 +0.319 }}
 {{Optimal ET sequence|legend=1| 34d, 39d, 41, 80, 87, 121, 167, 208, 329b, 375b, 496bd }}