Mitonismic temperaments: Difference between revisions

Xenllium (talk | contribs)
Created page with "These are rank-2 temperaments that temper out the mitonisma, 5250987/5242880 = {{monzo| -20 7 -1 4 }}. Temperaments dicussed elsewhere include [[Father family #Mother|mother]..."
 
Normalize mappings and generators; improve categories
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[[Comma list]]: 5250987/5242880, 2202927104/2197265625
[[Comma list]]: 5250987/5242880, 2202927104/2197265625


[[Mapping]]: [{{val|43 68 100 121}}, {{val|0 1 -1 -2}}]
[[Mapping]]: [{{val| 43 0 168 257 }}, {{val| 0 1 -1 -2 }}]


[[POTE generator]]: ~703125/702464 = 4.1632
Mapping generators: ~64/63, ~3
 
[[POTE generator]]: ~3/2 = 701.8376


{{Val list|legend=1| 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd }}
{{Val list|legend=1| 43, 172d, 215d, 258, 301, 559, 860, 2021d, 2881cd }}
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Comma list: 41503/41472, 172032/171875, 1240029/1239040
Comma list: 41503/41472, 172032/171875, 1240029/1239040


Mapping: [{{val|43 68 100 121 148}}, {{val|0 1 -1 -2 5}}]
Mapping: [{{val| 43 0 168 257 -192 }}, {{val| 0 1 -1 -2 5 }}]


POTE generator: ~540/539 = 4.1828
POTE generator: ~3/2 = 701.8572


Vals: {{Val list| 258, 301, 559, 860 }}
Vals: {{Val list| 258, 301, 559, 860 }}
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Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325
Comma list: 2200/2197, 4096/4095, 21168/21125, 39366/39325


Mapping: [{{val|43 68 100 121 148 159}}, {{val|0 1 -1 -2 5 1}}]
Mapping: [{{val| 43 0 168 257 -192 91 }}, {{val| 0 1 -1 -2 5 1 }}]


POTE generator: ~540/539 = 4.1765
POTE generator: ~3/2 = 701.8510


Vals: {{Val list| 258, 301, 559, 860f }}
Vals: {{Val list| 258, 301, 559, 860f }}
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Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011
Comma list: 833/832, 1701/1700, 2200/2197, 4096/4095, 11016/11011


Mapping: [{{val|43 68 100 121 148 159 175}}, {{val|0 1 -1 -2 5 1 5}}]
Mapping: [{{val| 43 0 168 257 -192 91 -165 }}, {{val| 0 1 -1 -2 5 1 5 }}]


POTE generator: ~540/539 = 4.1974
POTE generator: ~3/2 = 701.8718


Vals: {{Val list| 258, 301, 559, 860f }}
Vals: {{Val list| 258, 301, 559, 860f }}
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Badness: 0.047292
Badness: 0.047292


[[Category:Temperament]]
[[Category:Regular temperament theory]]
[[Category:Temperament collection]]
[[Category:Mitonismic temperaments| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]