Trienstonic clan: Difference between revisions
Cmloegcmluin (talk | contribs) adding parenthetical "(unchanged intervals)" to eigenmonzo lists |
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Adding 16/15 to 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are [[Dicot family #Sharp|sharp]], [[Archytas clan #Blacksmith|blacksmith]], and [[Meantone family #Sharptone|sharptone]]. | Adding 16/15 to 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are [[Dicot family #Sharp|sharp]], [[Archytas clan #Blacksmith|blacksmith]], and [[Meantone family #Sharptone|sharptone]]. | ||
== No- | == No-five trienstonic == | ||
Subgroup: 2.3.7 | Subgroup: 2.3.7 | ||
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{{Val list|legend=1| 2d, 5c, 19ccdd }} | {{Val list|legend=1| 2d, 5c, 19ccdd }} | ||
[[Badness]]: 0. | [[Badness]]: 0.058468 | ||
== Octokaidecal == | == Octokaidecal == | ||
| Line 90: | Line 90: | ||
{{Val list|legend=1| 8d, 10, 18, 28b }} | {{Val list|legend=1| 8d, 10, 18, 28b }} | ||
[[Badness]]: 0. | [[Badness]]: 0.036747 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 104: | Line 103: | ||
Vals: {{Val list| 8d, 10, 18e }} | Vals: {{Val list| 8d, 10, 18e }} | ||
Badness: 0. | Badness: 0.030235 | ||
== Opossum == | == Opossum == | ||
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{{Val list|legend=1| 7d, 8d, 15 }} | {{Val list|legend=1| 7d, 8d, 15 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.040650 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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POTE generator: ~10/9 = 159.807 | POTE generator: ~10/9 = 159.807 | ||
Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.7 | Minimax tuning: | ||
* 11-odd-limit eigenmonzo subgroup: 2.7 | |||
Vals: {{Val list| 7d, 8d, 15 }} | Vals: {{Val list| 7d, 8d, 15 }} | ||
Badness: 0. | Badness: 0.022325 | ||
=== 13-limit === | === 13-limit === | ||
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Vals: {{Val list| 7d, 8d, 15, 38bcef }} | Vals: {{Val list| 7d, 8d, 15, 38bcef }} | ||
Badness: 0. | Badness: 0.019389 | ||
== Kangaroo == | == Kangaroo == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 170: | Line 168: | ||
{{Val list|legend=1| 15, 47b, 62b }} | {{Val list|legend=1| 15, 47b, 62b }} | ||
[[Badness]]: 0. | [[Badness]]: 0.295767 | ||
=== 7-limit === | === 7-limit === | ||
| Line 185: | Line 183: | ||
{{Val list|legend=1| 15 }} | {{Val list|legend=1| 15 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.077857 | ||
=== 11-limit === | === 11-limit === | ||
| Line 198: | Line 196: | ||
Vals: {{Val list| 15 }} | Vals: {{Val list| 15 }} | ||
Badness: 0. | Badness: 0.043195 | ||
=== 13-limit === | === 13-limit === | ||
| Line 211: | Line 209: | ||
Vals: {{Val list| 15 }} | Vals: {{Val list| 15 }} | ||
Badness: 0. | Badness: 0.032653 | ||
== Quindecic == | == Quindecic == | ||
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Vals: {{Val list| 15, 30, 45bc }} | Vals: {{Val list| 15, 30, 45bc }} | ||
Badness: 0. | Badness: 0.028944 | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||