Interval size measure: 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:~~xenwolf~~|~~xenwolf~~]] and made on <tt>2011-06-~~13 17~~:41:47 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-14 15:11:33 UTC</tt>.<br>

: The original revision id was <tt>~~236342770~~</tt>.<br>

: The original revision id was <tt>236641334</tt>.<br>

: The revision comment was: <tt>~~link to monzo~~</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>

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=== Fine ===

The [[~~Cent~~]] (¢) 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]] (¢) 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 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the mina, 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.

Other measures include the [[millioctave]] (mO), which is 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the [[mina]], 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.

See [[http://www.huygens-fokker.org/docs/measures.html|Logarithmic Interval Measures]]

Within a given [[equal]]-stepped tonal system, the [[Relative cent|relative ~~Cent~~]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.

Within a given [[equal]]-stepped tonal system, the [[Relative cent|relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.

== Ratio ==

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<br />

<h3 id="toc2"><a name="x-Logarithmic-Fine"></a> Fine </h3>

The <a class="wiki_link" href="/~~Cent~~">~~Cent~~</a> (¢) 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.<br />

The <a class="wiki_link" href="/cent">cent</a> (¢) 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.<br />

<br />

Other measures include the <a class="wiki_link" href="/~~Millioctave~~">~~Millioctave~~</a> (mO), which is 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the mina, 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.<br />

Other measures include the <a class="wiki_link" href="/millioctave">millioctave</a> (mO), which is 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the <a class="wiki_link" href="/mina">mina</a>, 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.<br />

<br />

See <a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/measures.html" rel="nofollow">Logarithmic Interval Measures</a><br />

<br />

Within a given <a class="wiki_link" href="/equal">equal</a>-stepped tonal system, the <a class="wiki_link" href="/Relative%20cent">relative ~~Cent~~</a> (rct, r¢) can be used to describe properties of pitches (for instance the approximation of <a class="wiki_link" href="/JI">JI</a> intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.<br />

Within a given <a class="wiki_link" href="/equal">equal</a>-stepped tonal system, the <a class="wiki_link" href="/Relative%20cent">relative cent</a> (rct, r¢) can be used to describe properties of pitches (for instance the approximation of <a class="wiki_link" href="/JI">JI</a> intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.<br />

<br />

<h2 id="toc3"><a name="x-Ratio"></a> Ratio </h2>

@@ 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:xenwolf|xenwolf]] and made on <tt>2011-06-13 17:41:47 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-14 15:11:33 UTC</tt>.<br>
-: The original revision id was <tt>236342770</tt>.<br>
+: The original revision id was <tt>236641334</tt>.<br>
-: The revision comment was: <tt>link to  monzo</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>
@@ Line 19: / Line 19: @@
 === Fine ===
-The [[Cent]] (¢) 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]] (¢) 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 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the mina, 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.
+Other measures include the [[millioctave]] (mO), which is 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the [[mina]], 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.
 See [[http://www.huygens-fokker.org/docs/measures.html|Logarithmic Interval Measures]]
-Within a given [[equal]]-stepped tonal system, the [[Relative cent|relative Cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.
+Within a given [[equal]]-stepped tonal system, the [[Relative cent|relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neigbouring pitches in the used equal tuning.
 == Ratio ==
@@ Line 45: / Line 45: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Logarithmic-Fine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt; Fine &lt;/h3&gt;
-The &lt;a class="wiki_link" href="/Cent"&gt;Cent&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; (¢) 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;
-Other measures include the &lt;a class="wiki_link" href="/Millioctave"&gt;Millioctave&lt;/a&gt; (mO), which is 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the mina, 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.&lt;br /&gt;
+Other measures include the &lt;a class="wiki_link" href="/millioctave"&gt;millioctave&lt;/a&gt; (mO), which is 1/1000 of an octave, or 1.2 cents; the eptaméride or savart, 1/301 octave, the jot, 1/30103 octave, the morion, 1/72 octave, the farab, 1/144 octave, the flu, 1/46032 octave, the grad, 1/12 Pythagorean comma, the &lt;a class="wiki_link" href="/mina"&gt;mina&lt;/a&gt;, 1/2460 octave, the skisma, 1/612 octave, and the woolhouse, 1/730 octave.&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;
 &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;
+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;!-- 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;