List of approaches to musical tuning: Difference between revisions

Revision as of 07:15, 10 August 2015

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author hstraub and made on 2015-08-10 07:15:02 UTC.

The original revision id was 556419483.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

<span style="display: block; text-align: right;"><span style="background-color: #ffffff;">[[調律方法|日本語]]</span>
</span>
<span style="background-color: #ffffff;">Below is a partial list of currently-established theories and approaches related to tuning.</span>
* [[JustIntonation|Just Intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models: the harmonic series, integer frequency ratios, tonality diamonds, eikosany, Fokker blocks etc.
* [[xenharmonic/Equal Temperaments|Equal tuning]]: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals.
* [[Historical Western Temperaments]]: The (somewhat forgotten) use of [[xenharmonic/Meantone|meantone tunings]] and [[well temperament|well temperaments]] in Western common practice music.
* Musical traditions of indigenous, ancient, and/or non-Western cultures
** [[Arabic, Turkish, Persian]]
** [[Indian]] (North, South)
** [[African]]
** Thai
** [[Pre-Columbian South American Music|Pre-Columbian South American]] (e.g. Maya, Inca, Aztec..)
** [[Indonesian]] (Java, Bali)
** Ancient Greek, [[http://orthodoxwiki.org/Byzantine_Chant#The_scale|Byzantine]]
* [[Regular Temperaments]]: (including Linear Temperaments): a centuries-old practice that has recently undergone a mathematical facelift, in which Just Intonation is selectively and regularly detuned in various ways, to better meet a variety of compositional desires
* [[MOSScales|Moment of Symmetry]]: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.
* [[Empirical]] This is a form of hands-on, field research as opposed to a form of acoustical or scale engineering where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.
* [[tetrachord|Tetrachordal Scales]]: the use of divided fourths as building blocks for composition.
* [[isoharmonic chords|Isoharmonic chords/scales]]
* [[Pretty Pictures]] that represent scales in one way or another
* [[Notation]](pretty pictures for a the purpose of writing music down)
** [[Nominal-Accidental Chains]] A common approach to notation
* the notion of a [[Scalesmith]] who //builds// scales, with various methods, perhaps for single occasions
** Mathematically based scales
** Acoustically-based scales (resonant frequencies of performance space, for example)
** Scale transformation and stretching
** Counter-intuitive, random, arbitrary scales

Original HTML content:

<html><head><title>Approaches to Musical Tuning</title></head><body><span style="display: block; text-align: right;"><span style="background-color: #ffffff;"><a class="wiki_link" href="/%E8%AA%BF%E5%BE%8B%E6%96%B9%E6%B3%95">日本語</a></span><br />
</span><br />
<span style="background-color: #ffffff;">Below is a partial list of currently-established theories and approaches related to tuning.</span><br />
<ul><li><a class="wiki_link" href="/JustIntonation">Just Intonation</a>: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models: the harmonic series, integer frequency ratios, tonality diamonds, eikosany, Fokker blocks etc.</li><li><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments">Equal tuning</a>: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals.</li><li><a class="wiki_link" href="/Historical%20Western%20Temperaments">Historical Western Temperaments</a>: The (somewhat forgotten) use of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone">meantone tunings</a> and <a class="wiki_link" href="/well%20temperament">well temperaments</a> in Western common practice music.</li><li>Musical traditions of indigenous, ancient, and/or non-Western cultures<ul><li><a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">Arabic, Turkish, Persian</a></li><li><a class="wiki_link" href="/Indian">Indian</a> (North, South)</li><li><a class="wiki_link" href="/African">African</a></li><li>Thai</li><li><a class="wiki_link" href="/Pre-Columbian%20South%20American%20Music">Pre-Columbian South American</a> (e.g. Maya, Inca, Aztec..)</li><li><a class="wiki_link" href="/Indonesian">Indonesian</a> (Java, Bali)</li><li>Ancient Greek, <a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant#The_scale" rel="nofollow">Byzantine</a></li></ul></li><li><a class="wiki_link" href="/Regular%20Temperaments">Regular Temperaments</a>: (including Linear Temperaments): a centuries-old practice that has recently undergone a mathematical facelift, in which Just Intonation is selectively and regularly detuned in various ways, to better meet a variety of compositional desires</li><li><a class="wiki_link" href="/MOSScales">Moment of Symmetry</a>: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.</li><li><a class="wiki_link" href="/Empirical">Empirical</a> This is a form of hands-on, field research as opposed to a form of acoustical or scale engineering where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.</li><li><a class="wiki_link" href="/tetrachord">Tetrachordal Scales</a>: the use of divided fourths as building blocks for composition.</li><li><a class="wiki_link" href="/isoharmonic%20chords">Isoharmonic chords/scales</a></li><li><a class="wiki_link" href="/Pretty%20Pictures">Pretty Pictures</a> that represent scales in one way or another</li><li><a class="wiki_link" href="/Notation">Notation</a>(pretty pictures for a the purpose of writing music down)<ul><li><a class="wiki_link" href="/Nominal-Accidental%20Chains">Nominal-Accidental Chains</a> A common approach to notation</li></ul></li><li>the notion of a <a class="wiki_link" href="/Scalesmith">Scalesmith</a> who <em>builds</em> scales, with various methods, perhaps for single occasions<ul><li>Mathematically based scales</li><li>Acoustically-based scales (resonant frequencies of performance space, for example)</li><li>Scale transformation and stretching</li><li>Counter-intuitive, random, arbitrary scales</li></ul></li></ul></body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-08-25 00:21:39 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-08-10 07:15:02 UTC</tt>.<br>
-: The original revision id was <tt>519513856</tt>.<br>
+: The original revision id was <tt>556419483</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">&lt;span style="background-color: #ffffff;"&gt;Below is a partial list of currently-established theories and approaches related to tuning.&lt;/span&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">&lt;span style="display: block; text-align: right;"&gt;&lt;span style="background-color: #ffffff;"&gt;[[調律方法|日本語]]&lt;/span&gt;
+&lt;/span&gt;
+&lt;span style="background-color: #ffffff;"&gt;Below is a partial list of currently-established theories and approaches related to tuning.&lt;/span&gt;
 * [[JustIntonation|Just Intonation]]: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models: the harmonic series, integer frequency ratios, tonality diamonds, eikosany, Fokker blocks etc.
 * [[xenharmonic/Equal Temperaments|Equal tuning]]: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals.
@@ Line 27: / Line 29: @@
 ** [[Nominal-Accidental Chains]] A common approach to notation
 * the notion of a [[Scalesmith]] who //builds// scales, with various methods, perhaps for single occasions
 ** Mathematically based scales
 ** Acoustically-based scales (resonant frequencies of performance space, for example)
 ** Scale transformation and stretching
 ** Counter-intuitive, random, arbitrary scales</pre></div>
 <h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Approaches to Musical Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="background-color: #ffffff;"&gt;Below is a partial list of currently-established theories and approaches related to tuning.&lt;/span&gt;&lt;br /&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Approaches to Musical Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="display: block; text-align: right;"&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;a class="wiki_link" href="/%E8%AA%BF%E5%BE%8B%E6%96%B9%E6%B3%95"&gt;日本語&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
+&lt;/span&gt;&lt;br /&gt;
+&lt;span style="background-color: #ffffff;"&gt;Below is a partial list of currently-established theories and approaches related to tuning.&lt;/span&gt;&lt;br /&gt;
 &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/JustIntonation"&gt;Just Intonation&lt;/a&gt;: The tuning of pitches so that their fundamental frequencies are related by ratios of whole numbers. An infinite world of numerous models: the harmonic series, integer frequency ratios, tonality diamonds, eikosany, Fokker blocks etc.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Equal%20Temperaments"&gt;Equal tuning&lt;/a&gt;: Tunings that use a single interval (and combinations thereof) to form a subtle monoculture of intervals.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Historical%20Western%20Temperaments"&gt;Historical Western Temperaments&lt;/a&gt;: The (somewhat forgotten) use of &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone"&gt;meantone tunings&lt;/a&gt; and &lt;a class="wiki_link" href="/well%20temperament"&gt;well temperaments&lt;/a&gt; in Western common practice music.&lt;/li&gt;&lt;li&gt;Musical traditions of indigenous, ancient, and/or non-Western cultures&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian"&gt;Arabic, Turkish, Persian&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Indian"&gt;Indian&lt;/a&gt; (North, South)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/African"&gt;African&lt;/a&gt;&lt;/li&gt;&lt;li&gt;Thai&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Pre-Columbian%20South%20American%20Music"&gt;Pre-Columbian South American&lt;/a&gt; (e.g. Maya, Inca, Aztec..)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Indonesian"&gt;Indonesian&lt;/a&gt; (Java, Bali)&lt;/li&gt;&lt;li&gt;Ancient Greek, &lt;a class="wiki_link_ext" href="http://orthodoxwiki.org/Byzantine_Chant#The_scale" rel="nofollow"&gt;Byzantine&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;: (including Linear Temperaments): a centuries-old practice that has recently undergone a mathematical facelift, in which Just Intonation is selectively and regularly detuned in various ways, to better meet a variety of compositional desires&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;Moment of Symmetry&lt;/a&gt;: Tunings (or better, scales) that use iterations of a generating interval, modulo a period interval, to produce scales of two step-sizes.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Empirical"&gt;Empirical&lt;/a&gt; This is a form of hands-on, field research as opposed to a form of acoustical or scale engineering where tunings are specifically derived from listening and playing experiments carried out in the pitch continuum.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/tetrachord"&gt;Tetrachordal Scales&lt;/a&gt;: the use of divided fourths as building blocks for composition.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/isoharmonic%20chords"&gt;Isoharmonic chords/scales&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Pretty%20Pictures"&gt;Pretty Pictures&lt;/a&gt; that represent scales in one way or another&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt;(pretty pictures for a the purpose of writing music down)&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Nominal-Accidental%20Chains"&gt;Nominal-Accidental Chains&lt;/a&gt; A common approach to notation&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;the notion of a &lt;a class="wiki_link" href="/Scalesmith"&gt;Scalesmith&lt;/a&gt; who &lt;em&gt;builds&lt;/em&gt; scales, with various methods, perhaps for single occasions&lt;ul&gt;&lt;li&gt;Mathematically based scales&lt;/li&gt;&lt;li&gt;Acoustically-based scales (resonant frequencies of performance space, for example)&lt;/li&gt;&lt;li&gt;Scale transformation and stretching&lt;/li&gt;&lt;li&gt;Counter-intuitive, random, arbitrary scales&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

List of approaches to musical tuning: Difference between revisions

Revision as of 07:15, 10 August 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search