Alphatricot family: Difference between revisions

m Text replacement - "Badness (Dirichlet): " to "Badness (Sintel): "
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: mapping generators: ~2, ~59049/40960
: mapping generators: ~2, ~59049/40960
{{Multival|legend=1| 3 29 39 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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=== Catatricot ===
=== Catatricot ===
However, alphatricot in the 5-limit is far more accurate than threedic. Catatricot interprets the generator as ~[[75/52]] instead of 13/9, making the far more accurate tempering of [[140625/140608]], the catasma, instead of the threedie. It also tempers out [[256000/255879]], the phaotisma.
However, alphatricot in the 5-limit is far more accurate than threedic. Catatricot interprets the generator as ~[[75/52]] instead of 13/9, making the tempering of [[140625/140608]], the catasma, instead of the threedie. It also tempers out [[256000/255879]], the phaotisma.


Subgroup: 2.3.5.13
Subgroup: 2.3.5.13
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{{Mapping|legend=1| 1 0 -13 53 | 0 3 29 -95 }}
{{Mapping|legend=1| 1 0 -13 53 | 0 3 29 -95 }}
{{Multival|legend=1| 3 29 -95 39 -159 -302 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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{{Mapping|legend=1| 1 0 -13 25 | 0 3 29 -42 }}
{{Mapping|legend=1| 1 0 -13 25 | 0 3 29 -42 }}
{{Multival|legend=1| 3 29 -42 39 -75 -179 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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{{Mapping|legend=1| 1 0 -13 -3 | 0 3 29 11 }}
{{Mapping|legend=1| 1 0 -13 -3 | 0 3 29 11 }}
{{Multival|legend=1| 3 29 11 39 9 -56 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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{{Mapping|legend=1| 3 6 19 30 | 0 -3 -29 -52 }}
{{Mapping|legend=1| 3 6 19 30 | 0 -3 -29 -52 }}
{{Multival|legend=1| 9 87 156 117 222 118 }}


[[Optimal tuning]] ([[POTE]]): ~63/50 = 400.0000, ~100352/91125 = 165.9837
[[Optimal tuning]] ([[POTE]]): ~63/50 = 400.0000, ~100352/91125 = 165.9837
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[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Alphatricot family| ]] <!-- main article -->
[[Category:Alphatricot family| ]] <!-- main article -->
[[Category:Alphatricot| ]] <!-- key article -->
[[Category:Alphatricot| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]