User:BudjarnLambeth/Sandbox2: Difference between revisions

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= Title1 =

== Octave stretch or compression ==

Having a flat tendency, 16et is best tuned with [[stretched octave]]s, which improve the accuracy of wide-voiced JI chords and [[rooted]] harmonics especially on inharmonic timbres such as bells and gamelans, with ~~[[25edt]],~~ [[41ed6]], and [[57ed12]] being good options.

Having a flat tendency, 16et is best tuned with [[stretched octave]]s, which improve the accuracy of wide-voiced JI chords and [[rooted]] harmonics especially on inharmonic timbres such as bells and gamelans, with [[41ed6]] and [[57ed12]] being good options.

What follows is a comparison of stretched- and compressed-octave 16edo tunings.

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{{Harmonics in equal|41|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 41ed6}}

{{Harmonics in equal|41|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 41ed6 (continued)}}

~~; [[25edt]]~~

* Step size: NNN{{c}}, octave size: NNN{{c}}

~~Stretching the octave of 16edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 25edt does this.~~

~~{{Harmonics in equal|25|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 25edt}}~~

~~{{Harmonics in equal|25|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 25edt (continued)}}~~

= Title2 =

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 = Title1 =
 == Octave stretch or compression ==
-Having a flat tendency, 16et is best tuned with [[stretched octave]]s, which improve the accuracy of wide-voiced JI chords and [[rooted]] harmonics especially on inharmonic timbres such as bells and gamelans, with [[25edt]], [[41ed6]], and [[57ed12]] being good options.
+Having a flat tendency, 16et is best tuned with [[stretched octave]]s, which improve the accuracy of wide-voiced JI chords and [[rooted]] harmonics especially on inharmonic timbres such as bells and gamelans, with [[41ed6]] and [[57ed12]] being good options.
 What follows is a comparison of stretched- and compressed-octave 16edo tunings.
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 {{Harmonics in equal|41|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 41ed6}}
 {{Harmonics in equal|41|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 41ed6 (continued)}}
-; [[25edt]]
-* Step size: NNN{{c}}, octave size: NNN{{c}}
-Stretching the octave of 16edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 25edt does this.
-{{Harmonics in equal|25|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 25edt}}
-{{Harmonics in equal|25|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 25edt (continued)}}
 = Title2 =