Schismic–commatic equivalence continuum: Difference between revisions
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| 0 | | 0 | ||
| [[ | | [[Compton family|Compton]] | ||
| 531441/524288 | | 531441/524288 | ||
| {{monzo|-19 12}} | | {{monzo|-19 12}} | ||
| Line 34: | Line 34: | ||
|- | |- | ||
| 4 | | 4 | ||
| Undim | | [[Hemifamity temperaments|Undim]] | ||
| | | | ||
| {{monzo| 41 -20 -4}} | | {{monzo| 41 -20 -4}} | ||
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== Compton temperament (12&72) == | == Compton temperament (12&72) == | ||
{{see also| Pythagorean comma }} ''and [[ | {{see also| Pythagorean comma }} ''and [[Compton family]]'' | ||
Comma list: {{monzo| -19 12 }} = 531441/524288 | Comma list: {{monzo| -19 12 }} = 531441/524288 | ||
Mapping: [{{val| 12 19 28 }}, {{val| 0 0 -1 }}] | Mapping: [{{val| 12 19 28 }}, {{val| 0 0 -1 }}] | ||
| Line 112: | Line 110: | ||
Wedgie: {{wedgie| 0 12 19 }} | Wedgie: {{wedgie| 0 12 19 }} | ||
{{Val list | POTE generator: ~5/4 = 384.882 | ||
Vals: {{Val list| 12, 48, 60, 72, 84 }} | |||
Badness: 0.094494 | Badness: 0.094494 | ||
| Line 118: | Line 118: | ||
== Lalagu (12&79) == | == Lalagu (12&79) == | ||
Comma list: {{monzo| -23 16 -1 }} = 43046721/41943040 | Comma list: {{monzo| -23 16 -1 }} = 43046721/41943040 | ||
Mapping: [{{val| 1 2 9 }}, {{val| 0 -1 -16 }}] | Mapping: [{{val| 1 2 9 }}, {{val| 0 -1 -16 }}] | ||
| Line 125: | Line 123: | ||
Wedgie: {{wedgie| 1 16 23 }} | Wedgie: {{wedgie| 1 16 23 }} | ||
{{Val list | POTE generator: ~4/3 = 500.970 | ||
Vals: {{Val list| 12, 79, 91, 103 }} | |||
Badness: 0.295079 | Badness: 0.295079 | ||
| Line 133: | Line 133: | ||
Comma list: {{monzo| 37 -16 -5 }} = 137438953472/134521003125 | Comma list: {{monzo| 37 -16 -5 }} = 137438953472/134521003125 | ||
Mapping: [{{val| 1 2 1 }}, {{val| 0 -5 16 }}] | Mapping: [{{val| 1 2 1 }}, {{val| 0 -5 16 }}] | ||
| Line 140: | Line 138: | ||
Wedgie: {{wedgie| 5 -16 -37 }} | Wedgie: {{wedgie| 5 -16 -37 }} | ||
{{Val list | POTE generator: ~135/128 = 99.267 | ||
Vals: {{Val list| 12, 109, 121, 133 }} | |||
Badness: 0.444506 | Badness: 0.444506 | ||
== Undim (12&152) == | == Undim (12&152) == | ||
{{see also| Hemifamity temperaments #Undim }} | |||
Comma list: {{monzo| 41 -20 -4 }} | Comma list: {{monzo| 41 -20 -4 }} | ||
Mapping: [{{val| 4 6 11 }}, {{val| 0 1 -5 }}] | Mapping: [{{val| 4 6 11 }}, {{val| 0 1 -5 }}] | ||
| Line 153: | Line 153: | ||
Wedgie: {{wedgie| 4 -20 -41 }} | Wedgie: {{wedgie| 4 -20 -41 }} | ||
{{Val list | POTE generator: ~3/2 = 702.6054 | ||
Vals: {{Val list| 12, 140, 152, 164, 1076bc, 1228bc }} | |||
Badness: 0.241703 | Badness: 0.241703 | ||
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Wedgie: {{wedgie| 5 -28 -56 }} | Wedgie: {{wedgie| 5 -28 -56 }} | ||
{{Val list | Vals: {{Val list| 12, 193, 205, 217, 422 }} | ||
Badness: 0.399849 | Badness: 0.399849 | ||
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Wedgie: {{wedgie| 6 -36 -77 }} | Wedgie: {{wedgie| 6 -36 -77 }} | ||
{{Val list | Vals: {{Val list| 12, 258, 270, 1878 }} | ||
Badness: 0.555423 | Badness: 0.555423 | ||