ED5: Difference between revisions

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

'''Ed5''' means '''Division of the Fifth Harmonic (5/1) into n equal parts'''.

=Division of the fifth harmonic into n equal parts=

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.

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*[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]

*[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]

*[http://www.nonoctave.com/tuning/fifth_harmonic.html http://www.nonoctave.com/tuning/fifth_harmonic.html]

[[http://www.nonoctave.com/tuning/fifth_harmonic.html]]

[[Category:Ed5| ]]

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-=Division of the Fifth Harmonic (5/1) into n equal parts=
+'''Ed5''' means '''Division of the Fifth Harmonic (5/1) into n equal parts'''.
+=Division of the fifth harmonic into n equal parts=
 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.
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 *[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
 *[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]
+*[http://www.nonoctave.com/tuning/fifth_harmonic.html http://www.nonoctave.com/tuning/fifth_harmonic.html]
-[[http://www.nonoctave.com/tuning/fifth_harmonic.html]]
 [[Category:Ed5| ]] <!-- main article -->