13ed5: Difference between revisions

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{{todo|add definition|add introduction|inline=1}}
{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}


What is known as "[[father]]" has a large 3:2 which warps the heptatonic scale to an octatonic.
What is known as "[[father]]" has a large 3:2 which warps the heptatonic scale to an octatonic.


Analogously, in [[hyperpyth]], 13ed5 has an analogously large "[[13/5]]” which warps the scale similarly. It is not readily apparent what consonance(s) it approximates, but listeners have noted the sound to be enjoyable.
Analogously, in [[hyperpyth]], 13ed5 has an analogously large "[[13/5]]” which warps the scale similarly. It is not readily apparent what consonance(s) it approximates, but some listeners have noted the sound to be enjoyable.


[[18ed5]] also does this; the "13/5" is actually 50 cents sharp, while [[8/3]] is much closer.
[[18ed5]] also does this; the "13/5" is actually 50 cents sharp, while [[8/3]] is much closer.
[[Category:ed5]]
 
[[Category:fifth_harmonic]]
One way to extend 13ed5 is with the [[26ed5#13ed5plus|13ed5plus scale]] in [[26ed5]], which adds one halfway in-between note to a chain of 13ed5 steps, unlocking an array of new [[consonance]]s.
 
== Harmonics ==
{{Harmonics in equal
| steps = 13
| num = 5
| denom = 1
}}
{{Harmonics in equal
| steps = 13
| num = 5
| denom = 1
| start = 12
| collapsed = 1
}}
 
== Intervals ==
{{Interval table}}