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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[[Category:Ed5| ]] <!-- main article -->

Revision as of 12:29, 18 January 2019

Division of the Fifth Harmonic (5/1) into n equal parts

The fifth harmonic is particularly wide as far as equivalences go. 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, 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

See also

[[1]]

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