ED5: Difference between revisions
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Tags: Mobile edit Mobile web edit |
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The fifth harmonic is particularly wide as far as equivalences go.<span style=""> There are (at absolute most) ~4.8 pentaves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, 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 fifth harmonic is particularly wide as far as equivalences go.<span style=""> There are (at absolute most) ~4.8 pentaves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, </span>this fact shapes one's musical approach dramatically. Following this, 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. | ||
[[2ed5]] | * [[2ed5]] | ||
3ed5 [[Orwell|orwell]] generator (with octaves) | * 3ed5 [[Orwell|orwell]] generator (with octaves) | ||
4ed5 [[Meantone|meantone]] generator (with octaves) | * 4ed5 [[Meantone|meantone]] generator (with octaves) | ||
[[5ed5]] [[2L_7s|thuja]] generator (with octaves) | * [[5ed5]] [[2L_7s|thuja]] generator (with octaves) | ||
6ed5 [[Trienstonic_clan#Uncle|uncle]] generator (with octaves) | * 6ed5 [[Trienstonic_clan#Uncle|uncle]] generator (with octaves) | ||
[[7ed5]] compare [[3edo]] | * [[7ed5]] compare [[3edo]] | ||
[[8ed5]] | * [[8ed5]] | ||
[[9ed5]] | * [[9ed5]] | ||
[[10ed5]] | * [[10ed5]] | ||
[[11ed5]] | * [[11ed5]] | ||
[[12ed5]] | * [[12ed5]] | ||
[[13ed5]] | * [[13ed5]] | ||
14ed5 compare [[6edo]] | * 14ed5 compare [[6edo]] | ||
[[15ed5]] | * [[15ed5]] | ||
16ed5 compare [[7edo]] | * 16ed5 compare [[7edo]] | ||
[[17ed5]] | [[17ed5]] | ||
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[[45ed5]] | [[45ed5]] | ||
[[46ed5]] | |||
[[47ed5]] | |||
[[48ed5]] | |||
[[49ed5]] | |||
[[50ed5]] | |||
[[51ed5]] compare [[22edo]] | |||
[[52ed5]] | |||
[[53ed5]] | |||
[[54ed5]] | |||
[[55ed5]] | |||
56ed5 compare [[24edo]] | |||
[[57ed5]] compare [[39edt]] | |||
[[58ed5]] compare [[25edo]] | |||
[[59ed5]] | |||
[[60ed5]] | |||
==See also== | |||
[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]] | [[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]] | ||