Unicorn family: Difference between revisions
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{{Technical data page}} | |||
The '''unicorn family''' tempers out the [[unicorn comma]], 1594323/1562500 = {{monzo| -2 13 -8 }}. The canonical extension to the 7-limit is by interpreting the generator as a slightly flattened [[~]][[28/27]] so that a flat [[~]][[6/5]] is found at 5 generators, corresponding to tempering [[126/125]], the [[octaphore]] and the [[hemimage comma]]. | The '''unicorn family''' tempers out the [[unicorn comma]], 1594323/1562500 = {{monzo| -2 13 -8 }}. The canonical extension to the 7-limit is by interpreting the generator as a slightly flattened [[~]][[28/27]] so that a flat [[~]][[6/5]] is found at 5 generators, corresponding to tempering [[126/125]], the [[octaphore]] and the [[hemimage comma]]. | ||
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{{Mapping|legend=1| 1 2 3 4 | 0 -8 -13 -23 }} | {{Mapping|legend=1| 1 2 3 4 | 0 -8 -13 -23 }} | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
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{{Optimal ET sequence|legend=1| 19, 39df, 58, 77, 212cf }} | {{Optimal ET sequence|legend=1| 19, 39df, 58, 77, 212cf }} | ||
Badness ( | Badness (Sintel): 0.590 | ||
==== 2.3.5.7.13.29 subgroup ==== | ==== 2.3.5.7.13.29 subgroup ==== | ||
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{{Optimal ET sequence|legend=1| 19, 39dfj, 58, 77, 212cfn }} | {{Optimal ET sequence|legend=1| 19, 39dfj, 58, 77, 212cfn }} | ||
Badness ( | Badness (Sintel): 0.487 | ||
==== 2.3.5.7.13.29.43 subgroup ==== | ==== 2.3.5.7.13.29.43 subgroup ==== | ||
A notable tuning of unicorn not appearing in the [[optimal ET sequence]] here is [[96edo]] using the 96d val ( | A notable tuning of unicorn not appearing in the [[optimal ET sequence]] here is [[96edo]] using the 96d val (with a 963[[cent|¢]] [[~]][[7/4]] similar to that of [[meanpop]]), an alternative to [[77edo]] that sacrifices the accuracy of prime 7 in favour of a more accurate [[5/4]] and [[43/32]]. | ||
[[Subgroup]]: 2.3.5.7.13.29.43 | [[Subgroup]]: 2.3.5.7.13.29.43 | ||
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{{Optimal ET sequence|legend=1| 19, 39dfj, 58, 77, 135c, 212cfn }} | {{Optimal ET sequence|legend=1| 19, 39dfj, 58, 77, 135c, 212cfn }} | ||
Badness ( | Badness (Sintel): 0.514 | ||
=== Alicorn === | === Alicorn === | ||
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{{Mapping|legend=1| 1 2 3 3 | 0 -8 -13 -4 }} | {{Mapping|legend=1| 1 2 3 3 | 0 -8 -13 -4 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~21/20 = 62.920 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~21/20 = 62.920 | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Unicorn family| ]] <!-- main article --> | [[Category:Unicorn family| ]] <!-- main article --> | ||
[[Category:Unicorn| ]] <!-- key article --> | [[Category:Unicorn| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||