Trienstonic clan: Difference between revisions
Tags: Mobile edit Mobile web edit |
Trienstonic > no-5 trienstonic |
||
| Line 3: | Line 3: | ||
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-5 trienstonic == | ||
Subgroup: 2.3.7 | Subgroup: 2.3.7 | ||
| Line 59: | Line 58: | ||
[[Badness]]: 0.072653 | [[Badness]]: 0.072653 | ||
== Wallaby | == Wallaby == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 75: | Line 73: | ||
[[Badness]]: 0.0585 | [[Badness]]: 0.0585 | ||
== Octokaidecal | == Octokaidecal == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 95: | Line 92: | ||
[[Badness]]: 0.0367 | [[Badness]]: 0.0367 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 105: | Line 102: | ||
POTE generator: ~3/2 = 732.330 | POTE generator: ~3/2 = 732.330 | ||
{{Val list | Vals: {{Val list| 8d, 10, 18e }} | ||
Badness: 0.0302 | Badness: 0.0302 | ||
== Opossum | == Opossum == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 122: | Line 118: | ||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* 7-odd-limit eigenmonzo subgroup: 2.7 | * [[7-odd-limit]] eigenmonzo subgroup: 2.7 | ||
* 9-odd-limit eigenmonzo subgroup: 2.7 | * [[9-odd-limit]] eigenmonzo subgroup: 2.7 | ||
{{Val list|legend=1| 7d, 8d, 15 }} | {{Val list|legend=1| 7d, 8d, 15 }} | ||
| Line 129: | Line 125: | ||
[[Badness]]: 0.0407 | [[Badness]]: 0.0407 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 141: | Line 137: | ||
Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.7 | Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.7 | ||
{{Val list | Vals: {{Val list| 7d, 8d, 15 }} | ||
Badness: 0.0223 | Badness: 0.0223 | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 159: | Line 154: | ||
* 15-odd-limit eigenmonzo subgroup: 2.7 | * 15-odd-limit eigenmonzo subgroup: 2.7 | ||
{{Val list | Vals: {{Val list| 7d, 8d, 15, 38bcef }} | ||
Badness: 0.0194 | Badness: 0.0194 | ||
== Kangaroo | == Kangaroo == | ||
=== 5-limit | === 5-limit === | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
Comma list: 64000/59049 | [[Comma list]]: 64000/59049 | ||
Mapping: [{{val| 1 0 -3 }}, {{val| 0 3 10 }}] | [[Mapping]]: [{{val| 1 0 -3 }}, {{val| 0 3 10 }}] | ||
POTE generator: ~27/20 = 561.195 | [[POTE generator]]: ~27/20 = 561.195 | ||
{{Val list|legend=1| 15, 47b, 62b }} | {{Val list|legend=1| 15, 47b, 62b }} | ||
Badness: 0.2958 | [[Badness]]: 0.2958 | ||
=== 7-limit === | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
Comma list: 28/27, 1029/1000 | [[Comma list]]: 28/27, 1029/1000 | ||
Mapping: [{{val| 1 0 -3 -2 }}, {{val| 0 3 10 9 }}] | [[Mapping]]: [{{val| 1 0 -3 -2 }}, {{val| 0 3 10 9 }}] | ||
{{Multival|legend=1| 3 10 9 9 6 -7 }} | {{Multival|legend=1| 3 10 9 9 6 -7 }} | ||
POTE generator: ~7/5 = 560.328 | [[POTE generator]]: ~7/5 = 560.328 | ||
{{Val list|legend=1| 15 }} | {{Val list|legend=1| 15 }} | ||
Badness: 0.0779 | [[Badness]]: 0.0779 | ||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 204: | Line 196: | ||
POTE generator: ~7/5 = 560.155 | POTE generator: ~7/5 = 560.155 | ||
{{Val list | Vals: {{Val list| 15 }} | ||
Badness: 0.0432 | Badness: 0.0432 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 218: | Line 209: | ||
POTE generator: ~7/5 = 559.770 | POTE generator: ~7/5 = 559.770 | ||
{{Val list | Vals: {{Val list| 15 }} | ||
Badness: 0.0327 | Badness: 0.0327 | ||
== Quindecic | == Quindecic == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 232: | Line 222: | ||
POTE generator: ~13/8 = 852.924 | POTE generator: ~13/8 = 852.924 | ||
{{Val list | Vals: {{Val list| 15, 30, 45bc }} | ||
Badness: 0.0289 | Badness: 0.0289 | ||