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Very high accuracy temperaments: Difference between revisions

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Switch to WE & CWE tunings (2/)
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[[Comma list]]: {{monzo| -17 62 -35 }}
[[Comma list]]: {{monzo| -17 62 -35 }}


{{Mapping|legend=1| 1 11 19 | 0 -35 -62 }}
{{Mapping|legend=1| 1 -24 -43 | 0 35 62 }}
: mapping generators: ~2, ~{{monzo| -6 23 -13 }}
: mapping generators: ~2, ~{{monzo| 7 -23 13 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| -6 23 -13 }} = 322.801349{{c}}
* [[WE]]: ~2 = 1200.000236{{c}}, ~{{monzo| 7 -23 13 }} = 877.198814{{c}}
* [[POTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| -6 23 -13 }} = 322.801358{{c}}
: [[error map]]: {{val| +0.0002 -0.0022 +0.0026 }}
* [[CWE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 7 -23 13 }} = 877.198647{{c}}
: error map: {{val| 0.0000 -0.0024 -0.0024 }}
<!-- * [[CTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 7 -23 13 }} = 877.198651{{c}}
* [[POTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 7 -23 13 }} = 877.198642{{c}} -->


{{Optimal ET sequence|legend=1| 26, …, 145, 171, 658, 829, 1000, 1171, 2513, 6197, 39695, 45892, 52089, 58286, 64483, 70680 }}
{{Optimal ET sequence|legend=1| 26, …, 145, 171, 658, 829, 1000, 1171, 2513, 6197, 39695, 45892, 52089, 58286, 64483, 70680 }}
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[[Comma list]]: {{monzo| 144 -22 -47 }}
[[Comma list]]: {{monzo| 144 -22 -47 }}


{{Mapping|legend=1| 1 45 -18 | 0 -47 22 }}
{{Mapping|legend=1| 1 -2 4 | 0 47 -22 }}
: mapping generators: ~2, ~{{monzo| -45 7 15 }}
: mapping generators: ~2, ~{{monzo| 46 -7 -15 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 46 -7 -15 }} = 91.530979{{c}}
* [[WE]]: ~2 = 1199.998956{{c}}, ~{{monzo| 46 -7 -15 }} = 91.530922{{c}}
* [[POTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 46 -7 -15 }} = 91.531001{{c}}
: [[error map]]: {{val| -0.0010 +0.0004 +0.0018 }}
* [[CWE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 46 -7 -15 }} = 91.530995{{c}}
: error map: {{val| 0.0000 +0.0018 +0.0044 }}
<!-- * [[CTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 46 -7 -15 }} = 91.530979{{c}}
* [[POTE]]: ~2 = 1200.000000{{c}}, ~{{monzo| 46 -7 -15 }} = 91.531001{{c}} -->


{{Optimal ET sequence|legend=1| 118, 957, 1075, 1193, 1311, 1429, 1547, 1665, 1783, 3684, 5467, 36486, 41953, 47420, 52887, 63821, 69288, 74755, 144043c, 218798c }}
{{Optimal ET sequence|legend=1| 118, 957, 1075, 1193, 1311, 1429, 1547, 1665, 1783, 3684, 5467, 36486, 41953, 47420, 52887, 63821, 69288, 74755, 144043c, 218798c }}
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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000000{{c}}, ~3/2 = 701.955310{{c}}
* [[WE]]: ~2 = 1199.999902567{{c}}, ~3/2 = 701.955253373{{c}}
* [[CWE]]: ~2 = 1200.000000{{c}}, ~3/2 = 701.955310{{c}}
: [[error map]]: {{val| -0.000097 +0.000155 -0.000001 }}
* [[CWE]]: ~2 = 1200.000000000{{c}}, ~3/2 = 701.955310152{{c}}
: error map: {{val| 0.000000 +0.000309 +0.000149 }}
<!-- * [[CTE]]: ~2 = 1200.000000{{c}}, ~3/2 = 701.955310{{c}} -->


{{Optimal ET sequence|legend=1| 306, 359c, 665, 2301, 2966, 3631, 4296, 46591, 50887, 55183, 59479, 63775, 68071, 72367, 76663, 80959, 85255, 89551 }}
{{Optimal ET sequence|legend=1| 306, 359c, 665, 2301, 2966, 3631, 4296, 46591, 50887, 55183, 59479, 63775, 68071, 72367, 76663, 80959, 85255, 89551 }}
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Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000000{{c}}, ~3/2 = 701.955371{{c}}
* WE: ~2 = 1199.979407{{c}}, ~3/2 = 701.943437{{c}}
* CWE: ~2 = 1200.000000{{c}}, ~3/2 = 701.955457{{c}}
* CWE: ~2 = 1200.000000{{c}}, ~3/2 = 701.955457{{c}}
<!-- * CTE: ~2 = 1200.000000{{c}}, ~3/2 = 701.955371{{c}} -->


{{Optimal ET sequence|legend=1| 306, 665, 1636, 2301, 2966 }}
{{Optimal ET sequence|legend=1| 306, 665, 1636, 2301, 2966 }}
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Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000000{{c}}, ~3/2 = 701.954810{{c}}
* WE: ~2 = 1200.010750{{c}}, ~3/2 = 701.961041{{c}}
* CWE: ~2 = 1200.000000{{c}}, ~3/2 = 701.954771{{c}}
* CWE: ~2 = 1200.000000{{c}}, ~3/2 = 701.954771{{c}}
<!-- * CTE: ~2 = 1200.000000{{c}}, ~3/2 = 701.954810{{c}} -->


{{Optimal ET sequence|legend=1| 306d, 359cd, 665 }}
{{Optimal ET sequence|legend=1| 306d, 359cd, 665 }}
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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000000{{c}}, ~3/2 = 701.954415{{c}}
* [[WE]]: ~2 = 1200.000184840{{c}}, ~3/2 = 701.954524421{{c}}
* [[CWE]]: ~2 = 1200.000000{{c}}, ~3/2 = 701.954416{{c}}
: [[error map]]: {{val| +0.000185 -0.000292 -0.000002 }}
* [[CWE]]: ~2 = 1200.000000000{{c}}, ~3/2 = 701.954415845{{c}}
: error map: {{val| 0.000000 -0.000585 -0.000289 }}
<!-- * [[CTE]]: ~2 = 1200.000000{{c}}, ~3/2 = 701.954415{{c}} -->


{{Optimal ET sequence|legend=1| 306c, 359, 665, 2354, 3019, 3684, 11717, 15401, 19085, 34486 }}
{{Optimal ET sequence|legend=1| 306c, 359, 665, 2354, 3019, 3684, 11717, 15401, 19085, 34486 }}
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