1 <!DOCTYPE html PUBLIC
"-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
4 <meta http-equiv=
"Content-Type" content=
"text/html; charset=UTF-8">
5 <meta http-equiv=
"Content-Style-Type" content=
"text/css">
7 <meta name=
"Generator" content=
"Cocoa HTML Writer">
8 <meta name=
"CocoaVersion" content=
"824.44">
9 <style type=
"text/css">
10 p
.p1
{margin: 0.0px 0.0px 0.0px 0.0px; font: 18.0px Helvetica
}
11 p
.p2
{margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco
; min-height: 12.0px}
12 p
.p3
{margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica
}
13 p
.p4
{margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica
; min-height: 14.0px}
14 p
.p5
{margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco
}
15 p
.p6
{margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco
; color: #ad1d13}
16 p
.p7
{margin: 0.0px 0.0px 0.0px 0.0px; font: 14.0px Helvetica
}
17 p
.p8
{margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco
; color: #000000}
18 span
.s1
{color: #002ce2}
19 span
.s2
{color: #0019ba}
20 span
.s3
{color: #000000}
21 span
.s4
{color: #2b6f11}
22 span
.s5
{text-decoration: underline
}
23 span
.s6
{color: #0000bf}
24 span
.Apple-tab-span
{white-space:pre
}
28 <p class=
"p1"><b>Tuning
</b></p>
29 <p class=
"p2"><br></p>
30 <p class=
"p3"><b>Inherits from:
</b><a href=
"../Core/Object.html"><span class=
"s1"><b>Object
</b></span></a><b><span class=
"Apple-converted-space"> </span></b></p>
31 <p class=
"p2"><br></p>
32 <p class=
"p3">Represents a musical tuning (e.g. equal temperament, just intonation, etc.). Used in conjunction with
<a href=
"Scale.html"><span class=
"s1"><b>Scale
</b></span></a> to generate pitch information.
</p>
33 <p class=
"p4"><br></p>
34 <p class=
"p5">t =
<span class=
"s2">Tuning
</span>.et12;
</p>
35 <p class=
"p6"><span class=
"s3">t.semitones;
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11 ]
</p>
36 <p class=
"p6"><span class=
"s3">t.ratios;
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// [
1,
1.0594630943591,
1.1224620483089,
1.1892071150019, etc. ]
</p>
37 <p class=
"p2"><br></p>
38 <p class=
"p5"><span class=
"s2">Pbind
</span>(
<span class=
"s4">\scale
</span>,
<span class=
"s2">Scale
</span>.major(t),
<span class=
"s4">\degree
</span>,
<span class=
"s2">Pseq
</span>((
0.
.7) ++ (
6.
.0) ++ [
<span class=
"s4">\rest
</span>],
1),
<span class=
"s4">\dur
</span>,
0.25).play;
</p>
39 <p class=
"p2"><br></p>
40 <p class=
"p6">// use non-standard tuning
</p>
41 <p class=
"p5">t =
<span class=
"s2">Tuning
</span>.just;
</p>
42 <p class=
"p6"><span class=
"s3">t.semitones;
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// [
0,
1.1173128526978,
2.0391000173077,
3.1564128700055, etc. ]
</p>
43 <p class=
"p6"><span class=
"s3">t.ratios.collect(
</span><span class=
"s2">_
</span><span class=
"s3">.round(
0.001));
<span class=
"Apple-tab-span"> </span></span>// [
1,
1.067,
1.125,
1.2,
1.25,
1.333,
1.406,
1.5, etc. ]
</p>
44 <p class=
"p2"><br></p>
45 <p class=
"p5"><span class=
"s2">Pbind
</span>(
<span class=
"s4">\scale
</span>,
<span class=
"s2">Scale
</span>.major(t),
<span class=
"s4">\degree
</span>,
<span class=
"s2">Pseq
</span>((
0.
.7) ++ (
6.
.0) ++ [
<span class=
"s4">\rest
</span>],
1),
<span class=
"s4">\dur
</span>,
0.25).play;
</p>
46 <p class=
"p2"><br></p>
47 <p class=
"p2"><br></p>
48 <p class=
"p7"><b><span class=
"s5">Creation
</span></b></p>
49 <p class=
"p2"><br></p>
50 <p class=
"p3"><b>*et(pitchesPerOctave)
</b></p>
51 <p class=
"p4"><br></p>
52 <p class=
"p3">Creates an equal-tempered scale based on
<b>pitchesPerOctave
</b>.
</p>
53 <p class=
"p4"><br></p>
54 <p class=
"p3"><b>*just, *pythagorean, *werckmeister, *johnston, *partch, *wcAlpha, *bp, etc.
</b></p>
55 <p class=
"p4"><br></p>
56 <p class=
"p3">Creates a tuning from the library stored in
<b>TuningInfo
</b>. For a complete list of available tunings, execute
</p>
57 <p class=
"p4"><br></p>
58 <p class=
"p8"><span class=
"s6">Tuning
</span>.directory
</p>
59 <p class=
"p4"><br></p>
60 <p class=
"p3"><b>*choose(size)
</b></p>
61 <p class=
"p4"><br></p>
62 <p class=
"p3">Creates a random tuning from the library, constrained by size (which defaults to
12).
</p>
63 <p class=
"p4"><br></p>
64 <p class=
"p5"><span class=
"s2">Scale
</span>.major(
<span class=
"s2">Tuning
</span>.choose).tuning.name;
</p>
65 <p class=
"p2"><br></p>
66 <p class=
"p3"><b>*new(tuning, octaveRatio, name)
</b></p>
67 <p class=
"p4"><br></p>
68 <p class=
"p3">Creates a
<b>Tuning
</b> using some or all of the parameters as follows:
<b>tuning
</b> 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
<b>pitchesPerOctave
</b> will be returned).
<b>octaveRatio
</b> defaults to
2.0, but can be set differently for stretched or compressed tunings.
</p>
69 <p class=
"p4"><br></p>
70 <p class=
"p3">Examples:
</p>
71 <p class=
"p4"><br></p>
72 <p class=
"p6"><span class=
"s2">Tuning
</span><span class=
"s3">.new(
</span><span class=
"s4">\et12
</span><span class=
"s3">);
<span class=
"Apple-tab-span"> </span></span>// standard equal temperament
</p>
73 <p class=
"p6">// custom tuning
</p>
74 <p class=
"p5"><span class=
"s2">Tuning
</span>.new(#[
0,
0.795,
2.251,
3.251,
4.036,
4.680,
5.915,
7.221,
8.013,
9.29,
9.930,
11.032 ]);
<span class=
"Apple-converted-space"> </span></p>
75 <p class=
"p5"><span class=
"s2">Tuning
</span>.new((
0.
.11).collect(
<span class=
"s2">_
</span> * (
2.08 ** (
1/
12))),
2.08,
"Stretched ET12");
</p>
76 <p class=
"p4"><br></p>
77 <p class=
"p4"><br></p>
78 <p class=
"p7"><b><span class=
"s5">Instance Methods
</span></b></p>
79 <p class=
"p4"><br></p>
80 <p class=
"p3"><b>semitones
</b></p>
81 <p class=
"p4"><br></p>
82 <p class=
"p3">Returns an array of semitone values for the pitch set.
<b>as(Array)
</b> is equivalent;
<b>as(List)
</b> returns it as a list, etc.
</p>
83 <p class=
"p4"><br></p>
84 <p class=
"p3"><b>cents
</b></p>
85 <p class=
"p4"><br></p>
86 <p class=
"p3">Returns a array of cent values for the pitch set.
</p>
87 <p class=
"p4"><br></p>
88 <p class=
"p3"><b>ratios
</b></p>
89 <p class=
"p4"><br></p>
90 <p class=
"p3">Returns a tuned array of ratios for the pitch set.
</p>
91 <p class=
"p4"><br></p>
92 <p class=
"p4"><br></p>
93 <p class=
"p7"><b><span class=
"s5">Examples
</span></b></p>
94 <p class=
"p2"><br></p>
95 <p class=
"p3">For examples of use, see the
<a href=
"Scale.html"><span class=
"s1"><b>Scale
</b></span></a> help file.
</p>