97 lines
2.7 KiB
Text
97 lines
2.7 KiB
Text
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#lang scribble/manual
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@(require (for-label racket))
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@title{Tuning}
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represents a musical tuning@section{related}
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Classes/Scale
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@section{categories}
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Tuning
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@section{description}
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Represents a musical tuning (e.g. equal temperament, just intonation, etc.). Used in conjunction with link::Classes/Scale:: to generate pitch information.
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@racketblock[
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t = Tuning.et12;
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t.semitones; // [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ]
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t.ratios; // [ 1, 1.0594630943591, 1.1224620483089, 1.1892071150019, etc. ]
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Pbind(\scale, Scale.major(t), \degree, Pseq((0..7) ++ (6..0) ++ [\rest], 1), \dur, 0.25).play;
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// use non-standard tuning
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t = Tuning.just;
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t.semitones; // [ 0, 1.1173128526978, 2.0391000173077, 3.1564128700055, etc. ]
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t.ratios.collect(_.round(0.001)); // [ 1, 1.067, 1.125, 1.2, 1.25, 1.333, 1.406, 1.5, etc. ]
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Pbind(\scale, Scale.major(t), \degree, Pseq((0..7) ++ (6..0) ++ [\rest], 1), \dur, 0.25).play;
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::
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]
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@section{subsection}
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Creation
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strong::just, pythagorean, werckmeister, johnston, partch, wcAlpha, bp, etc.::
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Creates a tuning from the library stored in
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@racketblock[Tuning.all::. For a complete list of available tunings, execute
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]
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@racketblock[
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Tuning.directory
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::
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]
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@section{CLASSMETHODS}
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@section{method}
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et
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Creates an equal-tempered scale based on pitchesPerOctave.
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@section{method}
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choose
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Creates a random tuning from the library, constrained by size (which defaults to 12).
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@racketblock[
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Scale.major(Tuning.choose).tuning.name;
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::
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]
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@section{method}
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new
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Creates a Tuning using some or all of the parameters as follows: strong::tuning:: can be the name of a library tuning (in which case that tuning is returned); an array of floats representing the semitone values of the tuning (in which case pitchesPerOctave will be set to the size of the array regardless of the second parameter); or nil (in which case the default tuning for strong::pitchesPerOctave:: will be returned). strong::octaveRatio:: defaults to 2.0, but can be set differently for stretched or compressed tunings.
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@racketblock[
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Tuning.new(\et12); // standard equal temperament
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// custom tuning
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Tuning.new(#[ 0, 0.795, 2.251, 3.251, 4.036, 4.680, 5.915, 7.221, 8.013, 9.29, 9.930, 11.032 ]);
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Tuning.new((0..11).collect(_ * (2.08 ** (1/12))), 2.08, "Stretched ET12");
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::
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]
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@section{INSTANCEMETHODS}
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@section{private}
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storeOn, storedKey, storeArgs, printOn
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@section{method}
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semitones
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Returns an array of semitone values for the pitch set. link::#-as::(Array) is equivalent; link::#-as::(List) returns it as a list, etc.
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@section{method}
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cents
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Returns a array of cent values for the pitch set.
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@section{method}
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ratios
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Returns a tuned array of ratios for the pitch set.
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@section{EXAMPLES}
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For examples of use, see the link::Classes/Scale:: help file.
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