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| Line 327: |
Line 327: |
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| Badness: 0.263 | | Badness: 0.263 |
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| == Francium ==
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| Francium tempers out the [[euzenius comma]] and the 87-126/125 comma in the 7-limit, hereby dividing the octave into 87 parts.
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| Subgroup: 2.3.5.7
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| Comma list: 78125000/78121827, {{monzo| 152 -112 -41 43 }}
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| Mapping: {{mapping| 87 1 -106 -406 | 0 4 9 19 }}
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| : mapping generators: ~126/125, ~{{monzo| 37 -25 -12 11 }}
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| Optimal tuning (CTE): ~126/125 = 1\87, ~{{monzo| 37 -25 -12 11 }} = 472.043
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| {{Optimal ET sequence|legend=1| 783, …, 8178, 8961, 9744, 10527, 20271, 30798 }}
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| Badness: 0.762
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 78125000/78121827, 199297406/199290375, {{monzo| 74 -17 -5 -4 -7 }}
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| Mapping: {{mapping| 87 1 -106 -406 1225 | 0 4 9 19 -27 }}
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| : mapping generators: ~126/125, ~{{monzo| 35 1 -6 -3 -4 }}
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| Optimal tuning (CTE): ~126/125 = 1\87, ~{{monzo| 35 1 -6 -3 -4 }} = 472.043
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| {{Optimal ET sequence|legend=1| 783, 8178, 8961, 9744, 28449de, 38193bcde, 47937bcdee }}
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| Badness: 0.352
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| == Nanic == | | == Nanic == |