ED5: Difference between revisions
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The quintessential example of a pentave based tuning is hyperpyth (see [[17ed5|17ED5]]). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus ([[20ed5|20ED5]]) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately. | The quintessential example of a pentave based tuning is hyperpyth (see [[17ed5|17ED5]]). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus ([[20ed5|20ED5]]) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately. | ||
Much like how [[EDT]]s can be used for "no-twos" harmony, ED5s can be used for "no-twos-or-threes" harmony, but it might be better to use a narrower equivalence interval for this like [[Ed11/5]] especially since 11/5.7.11 fractional subgroup can be equated to 5.7.11. | |||
Some equal divisions of the pentave are known by alternate names or have special interest: | Some equal divisions of the pentave are known by alternate names or have special interest: | ||