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 microtemperamtents #Monzism|monzism]].
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 = 221.5679
POTE generator: ~8388608/7381125 = 221.567899


Vals: {{Val list| 612, 1289, 1901, 2513, 3125, 3737, 4414, 5638 }}
Vals: {{Val list| 65, 352, 417, 482, 547, 612, 1901, 2513, 5638, 8151 }}


Badness: 0.0279
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 = 221.5680
POTE generator: ~8388608/7381125 = 221.568031


Vals: {{Val list| 612, 2513, 3125, 3737, 4349, 5638, 6862, 9987 }}
Vals: {{Val list| 612, 1901, 2513, 3125, 6862, 9987 }}


Badness: 0.0237
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 = 221.5681
POTE generator: ~8388608/7381125 = 221.568139


Vals: {{Val list| 612, 2513, 3125, 3737, 4349, 4961, 6862, 8086 }}
Vals: {{Val list| 612, 2513, 3125, 3737, 8086 }}


Badness: 0.0366
Badness: 0.036641


== Senior ==
== Senior ==