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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2014-05-21 12:23:57 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-05-22 15:53:02 UTC</tt>.<br>
: The original revision id was <tt>510377468</tt>.<br>
: The original revision id was <tt>510684282</tt>.<br>
: The revision comment was: <tt></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>
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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The [[cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal.
The [[cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal.


Other measures include the [[millioctave]] (mO), which is the [[1000edo|1000th part]] of an octave, or 1.2 cents; the [[Eptaméride]] or [[Savart]]: [[301edo|1\301 of an octave]]; the [[Jot]]: [[30103edo|1\30103 octave]]; the [[Morion]]: [[72edo|1\72 octave]]; the [[Farab]]: [[144edo|1\144 octave]]; the [[Flu]]: [[46032edo|1\46032 octave]]; the [[Purdal]]: [[9900edo|1\9900 octave]]; the [[Grad]]: 1/12 of a Pythagorean comma; the [[Mina]]: [[2460edo|1\2460 octave]]; the [[Mem]]: [[205edo|1\205 octave]] (used by [[http://www.h-pi.com/theory/measurement3.html|Hi-pi Instruments]]);  the [[Tredek]]: [[270edo|1\270 octave]]; the [[Squb]]: [[494edo|1\494 octave]]; the [[Skisma]]: [[612edo|1\612 octave]]; the [[Woolhouse]]: [[730edo|1\730 octave]]; and the [[Tina]]: [[8539edo|1\8539th octave]].
Other measures include the [[millioctave]] (mO), which is the [[1000edo|1000th part]] of an octave, or 1.2 cents; the [[Eptaméride]] or [[Savart]]: [[301edo|1\301 of an octave]]; the [[Jot]]: [[30103edo|1\30103 octave]]; the [[Morion]]: [[72edo|1\72 octave]]; the [[Farab]]: [[144edo|1\144 octave]]; the [[Flu]]: [[46032edo|1\46032 octave]]; the [[Purdal]]: [[9900edo|1\9900 octave]]; the [[Grad]]: 1/12 of a Pythagorean comma; the [[Mina]]: [[2460edo|1\2460 octave]]; the [[Mem]]: [[205edo|1\205 octave]] (used by [[http://www.h-pi.com/theory/measurement3.html|Hi-pi Instruments]]);  the [[Tredek]]: [[270edo|1\270 octave]]; the [[Squb]]: [[494edo|1\494 octave]]; the [[Skisma]]: [[612edo|1\612 octave]]; the [[Woolhouse]]: [[730edo|1\730 octave]]; the [[Tina]]: [[8539edo|1\8539th octave]] and the [[Jinn]]: [16808edo|1\16808 octave]]..


See [[http://www.huygens-fokker.org/docs/measures.html|Logarithmic Interval Measures]]
See [[http://www.huygens-fokker.org/docs/measures.html|Logarithmic Interval Measures]]
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  The &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt; (¢), &lt;a class="wiki_link" href="/1200edo"&gt;1\1200 octave&lt;/a&gt;, is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal.&lt;br /&gt;
  The &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt; (¢), &lt;a class="wiki_link" href="/1200edo"&gt;1\1200 octave&lt;/a&gt;, is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Other measures include the &lt;a class="wiki_link" href="/millioctave"&gt;millioctave&lt;/a&gt; (mO), which is the &lt;a class="wiki_link" href="/1000edo"&gt;1000th part&lt;/a&gt; of an octave, or 1.2 cents; the &lt;a class="wiki_link" href="/Eptam%C3%A9ride"&gt;Eptaméride&lt;/a&gt; or &lt;a class="wiki_link" href="/Savart"&gt;Savart&lt;/a&gt;: &lt;a class="wiki_link" href="/301edo"&gt;1\301 of an octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Jot"&gt;Jot&lt;/a&gt;: &lt;a class="wiki_link" href="/30103edo"&gt;1\30103 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Morion"&gt;Morion&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;1\72 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Farab"&gt;Farab&lt;/a&gt;: &lt;a class="wiki_link" href="/144edo"&gt;1\144 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Flu"&gt;Flu&lt;/a&gt;: &lt;a class="wiki_link" href="/46032edo"&gt;1\46032 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Purdal"&gt;Purdal&lt;/a&gt;: &lt;a class="wiki_link" href="/9900edo"&gt;1\9900 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Grad"&gt;Grad&lt;/a&gt;: 1/12 of a Pythagorean comma; the &lt;a class="wiki_link" href="/Mina"&gt;Mina&lt;/a&gt;: &lt;a class="wiki_link" href="/2460edo"&gt;1\2460 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Mem"&gt;Mem&lt;/a&gt;: &lt;a class="wiki_link" href="/205edo"&gt;1\205 octave&lt;/a&gt; (used by &lt;a class="wiki_link_ext" href="http://www.h-pi.com/theory/measurement3.html" rel="nofollow"&gt;Hi-pi Instruments&lt;/a&gt;);  the &lt;a class="wiki_link" href="/Tredek"&gt;Tredek&lt;/a&gt;: &lt;a class="wiki_link" href="/270edo"&gt;1\270 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Squb"&gt;Squb&lt;/a&gt;: &lt;a class="wiki_link" href="/494edo"&gt;1\494 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Skisma"&gt;Skisma&lt;/a&gt;: &lt;a class="wiki_link" href="/612edo"&gt;1\612 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Woolhouse"&gt;Woolhouse&lt;/a&gt;: &lt;a class="wiki_link" href="/730edo"&gt;1\730 octave&lt;/a&gt;; and the &lt;a class="wiki_link" href="/Tina"&gt;Tina&lt;/a&gt;: &lt;a class="wiki_link" href="/8539edo"&gt;1\8539th octave&lt;/a&gt;.&lt;br /&gt;
Other measures include the &lt;a class="wiki_link" href="/millioctave"&gt;millioctave&lt;/a&gt; (mO), which is the &lt;a class="wiki_link" href="/1000edo"&gt;1000th part&lt;/a&gt; of an octave, or 1.2 cents; the &lt;a class="wiki_link" href="/Eptam%C3%A9ride"&gt;Eptaméride&lt;/a&gt; or &lt;a class="wiki_link" href="/Savart"&gt;Savart&lt;/a&gt;: &lt;a class="wiki_link" href="/301edo"&gt;1\301 of an octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Jot"&gt;Jot&lt;/a&gt;: &lt;a class="wiki_link" href="/30103edo"&gt;1\30103 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Morion"&gt;Morion&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;1\72 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Farab"&gt;Farab&lt;/a&gt;: &lt;a class="wiki_link" href="/144edo"&gt;1\144 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Flu"&gt;Flu&lt;/a&gt;: &lt;a class="wiki_link" href="/46032edo"&gt;1\46032 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Purdal"&gt;Purdal&lt;/a&gt;: &lt;a class="wiki_link" href="/9900edo"&gt;1\9900 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Grad"&gt;Grad&lt;/a&gt;: 1/12 of a Pythagorean comma; the &lt;a class="wiki_link" href="/Mina"&gt;Mina&lt;/a&gt;: &lt;a class="wiki_link" href="/2460edo"&gt;1\2460 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Mem"&gt;Mem&lt;/a&gt;: &lt;a class="wiki_link" href="/205edo"&gt;1\205 octave&lt;/a&gt; (used by &lt;a class="wiki_link_ext" href="http://www.h-pi.com/theory/measurement3.html" rel="nofollow"&gt;Hi-pi Instruments&lt;/a&gt;);  the &lt;a class="wiki_link" href="/Tredek"&gt;Tredek&lt;/a&gt;: &lt;a class="wiki_link" href="/270edo"&gt;1\270 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Squb"&gt;Squb&lt;/a&gt;: &lt;a class="wiki_link" href="/494edo"&gt;1\494 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Skisma"&gt;Skisma&lt;/a&gt;: &lt;a class="wiki_link" href="/612edo"&gt;1\612 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Woolhouse"&gt;Woolhouse&lt;/a&gt;: &lt;a class="wiki_link" href="/730edo"&gt;1\730 octave&lt;/a&gt;; the &lt;a class="wiki_link" href="/Tina"&gt;Tina&lt;/a&gt;: &lt;a class="wiki_link" href="/8539edo"&gt;1\8539th octave&lt;/a&gt; and the &lt;a class="wiki_link" href="/Jinn"&gt;Jinn&lt;/a&gt;: [16808edo|1\16808 octave]]..&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
See &lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/measures.html" rel="nofollow"&gt;Logarithmic Interval Measures&lt;/a&gt;&lt;br /&gt;
See &lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/measures.html" rel="nofollow"&gt;Logarithmic Interval Measures&lt;/a&gt;&lt;br /&gt;
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Within a given &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt;-stepped tonal system, the &lt;a class="wiki_link" href="/Relative%20cent"&gt;relative cent&lt;/a&gt; (rct, r¢) can be used to describe properties of pitches (for instance the approximation of &lt;a class="wiki_link" href="/JI"&gt;JI&lt;/a&gt; intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.&lt;br /&gt;
Within a given &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt;-stepped tonal system, the &lt;a class="wiki_link" href="/Relative%20cent"&gt;relative cent&lt;/a&gt; (rct, r¢) can be used to describe properties of pitches (for instance the approximation of &lt;a class="wiki_link" href="/JI"&gt;JI&lt;/a&gt; intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
see also: Kirnberger Atom &lt;!-- ws:start:WikiTextUrlRule:79:http://arxiv.org/abs/0907.5249 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/abs/0907.5249" rel="nofollow"&gt;http://arxiv.org/abs/0907.5249&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:79 --&gt;&lt;br /&gt;
see also: Kirnberger Atom &lt;!-- ws:start:WikiTextUrlRule:80:http://arxiv.org/abs/0907.5249 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/abs/0907.5249" rel="nofollow"&gt;http://arxiv.org/abs/0907.5249&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:80 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Ratio"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Ratio&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Ratio"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Ratio&lt;/h2&gt;
  Intervals can be measured also giving their &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Interval_ratio" rel="nofollow"&gt;(frequency) ratio&lt;/a&gt;. For instance the major third as &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; or the pure fifth &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. When combining sizes given in ratios, you have to multiply oder divide:&lt;br /&gt;
  Intervals can be measured also giving their &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Interval_ratio" rel="nofollow"&gt;(frequency) ratio&lt;/a&gt;. For instance the major third as &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; or the pure fifth &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. When combining sizes given in ratios, you have to multiply oder divide:&lt;br /&gt;
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