Just intonation: Difference between revisions

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<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:guest|guest]] and made on <tt>2008-05-~~27 00~~:59:43 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2008-06-15 21:57:30 UTC</tt>.<br>

: The original revision id was <tt>~~25255723~~</tt>.<br>

: The original revision id was <tt>26696697</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>

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Describe intervals between pitches by specifying ratios (of [[http://en.wikipedia.org/wiki/Rational_number|rational numbers]]) between the frequencies of pitches, and you will be speaking Just Intonation.

~~To understand this~~, you need ~~first~~ to ~~understand~~ the relation of [[FrequencyPitchTutorial|frequency and pitch]]. Kyle Gann ~~is a good thing to read~~. A transparent illustration and one of just intonation's acoustic bases is the [[OverToneSeries|harmonic series]].

If you are used to speaking only in note names, you may need to study the relation between [[FrequencyPitchTutorial|frequency and pitch]]. I recommend Kyle Gann's //[[http://www.kylegann.com/tuning.html|Just Intonation Explained]]//. A transparent illustration and one of just intonation's acoustic bases is the [[OverToneSeries|harmonic series]].

=Just Intonation used=

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=Variations on 'Just'=

[[Regular Temperaments]] are just intonation systems of various [[harmonic limits]] with certain commas tempered out

[[Regular Temperaments]] are just intonation systems of various [[harmonic limits]] with certain commas 'tempered out'

[[AdaptiveJI|Adaptive JI]] ~~schemes usually temper out these commas over time, resulting in~~

[[AdaptiveJI|Adaptive JI]]

**Broken** links to JI theory pages on [[http://moinmoin.riters.com/microtonal|another microtonal wiki]], which await transfer to this wiki:

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Describe intervals between pitches by specifying ratios (of <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rational_number" rel="nofollow">rational numbers</a>) between the frequencies of pitches, and you will be speaking Just Intonation.<br />

<br />

~~To understand this~~, you need ~~first~~ to ~~understand~~ the relation of <a class="wiki_link" href="/FrequencyPitchTutorial">frequency and pitch</a>. Kyle Gann is a ~~good thing to read~~. A transparent illustration and one of just intonation's acoustic bases is the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>.<br />

If you are used to speaking only in note names, you may need to study the relation between <a class="wiki_link" href="/FrequencyPitchTutorial">frequency and pitch</a>. I recommend Kyle Gann's <em><a class="wiki_link_ext" href="http://www.kylegann.com/tuning.html" rel="nofollow">Just Intonation Explained</a></em>. A transparent illustration and one of just intonation's acoustic bases is the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>.<br />

<br />

<h1 id="toc1"><a name="Just Intonation used"></a>Just Intonation used</h1>

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<br />

<h1 id="toc6"><a name="Variations on 'Just'"></a>Variations on 'Just'</h1>

<a class="wiki_link" href="/Regular%20Temperaments">Regular Temperaments</a> are just intonation systems of various <a class="wiki_link" href="/harmonic%20limits">harmonic limits</a> with certain commas tempered out<br />

<a class="wiki_link" href="/Regular%20Temperaments">Regular Temperaments</a> are just intonation systems of various <a class="wiki_link" href="/harmonic%20limits">harmonic limits</a> with certain commas 'tempered out'<br />

<a class="wiki_link" href="/AdaptiveJI">Adaptive JI</a> ~~schemes usually temper out these commas over time, resulting in~~<br />

<a class="wiki_link" href="/AdaptiveJI">Adaptive JI</a><br />

<br />

<strong>Broken</strong> links to JI theory pages on <a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal" rel="nofollow">another microtonal wiki</a>, which await transfer to this wiki:<br />

@@ 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:guest|guest]] and made on <tt>2008-05-27 00:59:43 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2008-06-15 21:57:30 UTC</tt>.<br>
-: The original revision id was <tt>25255723</tt>.<br>
+: The original revision id was <tt>26696697</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>
@@ Line 9: / Line 9: @@
 Describe intervals between pitches by specifying ratios (of [[http://en.wikipedia.org/wiki/Rational_number|rational numbers]]) between the frequencies of pitches, and you will be speaking Just Intonation.
-To understand this, you need first to understand the relation of [[FrequencyPitchTutorial|frequency and pitch]]. Kyle Gann is a good thing to read. A transparent illustration and one of just intonation's acoustic bases is the [[OverToneSeries|harmonic series]].
+If you are used to speaking only in note names, you may need to study the relation between [[FrequencyPitchTutorial|frequency and pitch]]. I recommend Kyle Gann's //[[http://www.kylegann.com/tuning.html|Just Intonation Explained]]//. A transparent illustration and one of just intonation's acoustic bases is the [[OverToneSeries|harmonic series]].
 =Just Intonation used=
@@ Line 39: / Line 39: @@
 =Variations on 'Just'=
-[[Regular Temperaments]] are just intonation systems of various [[harmonic limits]] with certain commas tempered out
+[[Regular Temperaments]] are just intonation systems of various [[harmonic limits]] with certain commas 'tempered out'
-[[AdaptiveJI|Adaptive JI]] schemes usually temper out these commas over time, resulting in
+[[AdaptiveJI|Adaptive JI]]
 **Broken** links to JI theory pages on [[http://moinmoin.riters.com/microtonal|another microtonal wiki]], which await transfer to this wiki:
@@ Line 57: / Line 57: @@
   Describe intervals between pitches by specifying ratios (of &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rational_number" rel="nofollow"&gt;rational numbers&lt;/a&gt;) between the frequencies of pitches, and you will be speaking Just Intonation.&lt;br /&gt;
 &lt;br /&gt;
-To understand this, you need first to understand the relation of &lt;a class="wiki_link" href="/FrequencyPitchTutorial"&gt;frequency and pitch&lt;/a&gt;. Kyle Gann is a good thing to read. A transparent illustration and one of just intonation's acoustic bases is the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;.&lt;br /&gt;
+If you are used to speaking only in note names, you may need to study the relation between &lt;a class="wiki_link" href="/FrequencyPitchTutorial"&gt;frequency and pitch&lt;/a&gt;. I recommend Kyle Gann's &lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/tuning.html" rel="nofollow"&gt;Just Intonation Explained&lt;/a&gt;&lt;/em&gt;. A transparent illustration and one of just intonation's acoustic bases is the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Just Intonation used"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Just Intonation used&lt;/h1&gt;
@@ Line 87: / Line 87: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Variations on 'Just'"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Variations on 'Just'&lt;/h1&gt;
-  &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt; are just intonation systems of various &lt;a class="wiki_link" href="/harmonic%20limits"&gt;harmonic limits&lt;/a&gt; with certain commas tempered out&lt;br /&gt;
+  &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt; are just intonation systems of various &lt;a class="wiki_link" href="/harmonic%20limits"&gt;harmonic limits&lt;/a&gt; with certain commas 'tempered out'&lt;br /&gt;
-&lt;a class="wiki_link" href="/AdaptiveJI"&gt;Adaptive JI&lt;/a&gt; schemes usually temper out these commas over time, resulting in&lt;br /&gt;
+&lt;a class="wiki_link" href="/AdaptiveJI"&gt;Adaptive JI&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;strong&gt;Broken&lt;/strong&gt; links to JI theory pages on &lt;a class="wiki_link_ext" href="http://moinmoin.riters.com/microtonal" rel="nofollow"&gt;another microtonal wiki&lt;/a&gt;, which await transfer to this wiki:&lt;br /&gt;