Very high accuracy temperaments: Difference between revisions
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== Monzismic == | == Monzismic == | ||
Monzismic temperament (53&559) tempers out the [[monzisma]], {{Monzo|54 -37 2}}. 7-limit extensions of the monzismic temperament include [[Ragismic | Monzismic temperament (53&559) tempers out the [[monzisma]], {{Monzo|54 -37 2}}. 7-limit extensions of the monzismic temperament include [[Ragismic microtemperaments #Monzism|monzism]]. | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
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== Fortune == | == Fortune == | ||
Fortune temperament tempers out the fortune comma, {{Monzo|-107 47 14}} (tritrila-sepbiyo). It can be described as 612&2513 temperament, which tempers out 78125000/78121827 (euzenius comma) in the 7-limit; 151263/151250, 21437500/21434787, and 369140625/369098752 in the 11-limit. | |||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
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Mapping: [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}] | Mapping: [{{val| 1 -1 11 }}, {{val| 0 14 -47 }}] | ||
POTE generator: ~8388608/7381125 = 221. | POTE generator: ~8388608/7381125 = 221.567899 | ||
Vals: {{Val list| | Vals: {{Val list| 65, 352, 417, 482, 547, 612, 1901, 2513, 5638, 8151 }} | ||
Badness: 0. | Badness: 0.027876 | ||
=== 7-limit === | === 7-limit === | ||
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Mapping: [{{val| 1 -1 11 63 }}, {{val| 0 14 -47 -326 }}] | Mapping: [{{val| 1 -1 11 63 }}, {{val| 0 14 -47 -326 }}] | ||
POTE generator: ~8388608/7381125 = 221. | POTE generator: ~8388608/7381125 = 221.568031 | ||
Vals: {{Val list| 612, 2513, 3125 | Vals: {{Val list| 612, 1901, 2513, 3125, 6862, 9987 }} | ||
Badness: 0. | Badness: 0.023704 | ||
=== 11-limit === | === 11-limit === | ||
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Mapping: [{{val| 1 -1 11 63 134 }}, {{val| 0 14 -47 -326 -707 }}] | Mapping: [{{val| 1 -1 11 63 134 }}, {{val| 0 14 -47 -326 -707 }}] | ||
POTE generator: ~8388608/7381125 = 221. | POTE generator: ~8388608/7381125 = 221.568139 | ||
Vals: {{Val list| 612, 2513, 3125, 3737 | Vals: {{Val list| 612, 2513, 3125, 3737, 8086 }} | ||
Badness: 0. | Badness: 0.036641 | ||
== Senior == | == Senior == |