ED5: Difference between revisions

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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]]). 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]]) 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]]). 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]]) 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.


== Individual pages for ED5s ==
*[[3ed5]] : [[Orwell|orwell]] generator (with octaves)
*[[3ed5]] : [[Orwell|orwell]] generator (with octaves)
*[[4ed5]] : [[Meantone|meantone]] generator (with octaves)
*[[4ed5]] : [[Meantone|meantone]] generator (with octaves)
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==See also==
==See also==
[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
*[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
*[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]


[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]
[[http://www.nonoctave.com/tuning/fifth_harmonic.html]]
 
http://www.nonoctave.com/tuning/fifth_harmonic.html


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