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|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]]

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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.
-* [[2ed5]]
+[[2ed5]]
-* 3ed5 [[Orwell|orwell]] generator (with octaves)
+ed5 [[Orwell|orwell]] generator (with octaves)
-* 4ed5 [[Meantone|meantone]] generator (with octaves)
+ed5 [[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)
+ed5 [[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]]
+ed5 compare [[6edo]]
-* [[15ed5]]
+[[15ed5]]
-* 16ed5 compare [[7edo]]
+ed5 compare [[7edo]]
 [[17ed5]]