Escapade family: Difference between revisions
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{{Mapping|legend=1| 1 2 2 4 | 0 -9 7 -26 }} | {{Mapping|legend=1| 1 2 2 4 | 0 -9 7 -26 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~28/27 = 55.122 | [[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~28/27 = 55.122 | ||
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''[[#Strong extensions|Return to the map]]'' | ''[[#Strong extensions|Return to the map]]'' | ||
Given the slightly sharp ~[[3/2]] in ideal tunings of escapade (between [[65edo]] and [[87edo]]), it does very little damage to temper out [[5120/5103]] to extend it to | Given the slightly sharp ~[[3/2]] in ideal tunings of escapade (between [[65edo]] and [[87edo]]), it does very little damage to temper out [[5120/5103]] to extend it to prime 7; the cost is that the harmonic 7 is exceedingly complex, located all the way at 61 generators up. | ||
=== 7-limit === | === 7-limit === | ||
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{{Mapping|legend=1| 1 2 2 0 | 0 -9 7 61 }} | {{Mapping|legend=1| 1 2 2 0 | 0 -9 7 61 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~16128/15625 = 55.243 | [[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~16128/15625 = 55.243 | ||
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{{Mapping|legend=1| 1 2 2 3 | 0 -9 7 -4 }} | {{Mapping|legend=1| 1 2 2 3 | 0 -9 7 -4 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~49/48 = 55.327 | [[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~49/48 = 55.327 | ||
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: mapping generators: ~343/243, ~16875/16384 | : mapping generators: ~343/243, ~16875/16384 | ||
[[Optimal tuning]] ([[POTE]]): ~343/243 = 1\2, ~16875/16384 = 55.320 | [[Optimal tuning]] ([[POTE]]): ~343/243 = 1\2, ~16875/16384 = 55.320 | ||
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: mapping generators: ~2, ~64/63 | : mapping generators: ~2, ~64/63 | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~64/63 = 27.668 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~64/63 = 27.668 | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Escapade family| ]] <!-- main article --> | [[Category:Escapade family| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] |