Trienstonic clan: Difference between revisions
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The '''trienstonic clan''' of | The '''trienstonic clan''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] [[28/27]], the septimal third-tone or trienstonic comma. | ||
Adding 16/15 to 28/27 leads to father, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 35/32 gives wallaby. Other members of the clan discussed elsewhere are: | Adding 16/15 to 28/27 leads to father, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 35/32 gives wallaby. Other members of the clan discussed elsewhere are: | ||
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{{Mapping|legend=2| 1 0 -2 | 0 1 3 }} | {{Mapping|legend=2| 1 0 -2 | 0 1 3 }} | ||
: mapping generators: ~2, ~3 | |||
{{Mapping|legend=3| 1 0 0 -2 | 0 1 0 3 }} | {{Mapping|legend=3| 1 0 0 -2 | 0 1 0 3 }} | ||
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== Father == | == Father == | ||
{{Main| Father }} | |||
{{See also| Father family #Father }} | {{See also| Father family #Father }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]] [[eigenmonzo | * [[7-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5/3 | ||
* [[9-odd-limit]] [[eigenmonzo | * [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/5 | ||
{{Optimal ET sequence|legend=1| 5, 13d, 18, 23bc, 41bcd }} | {{Optimal ET sequence|legend=1| 5, 13d, 18, 23bc, 41bcd }} | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd- | * [[7-odd-limit7-]] and [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5 | ||
{{Optimal ET sequence|legend=1| 8d, 10, 18, 28b }} | {{Optimal ET sequence|legend=1| 8d, 10, 18, 28b }} | ||
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[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Trienstonic clan| ]] <!-- main article --> | [[Category:Trienstonic clan| ]] <!-- main article --> | ||
[[Category:Trienstonic]] | [[Category:Trienstonic| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||