Frequency ratio: Difference between revisions

Wikispaces>d.schallert
**Imported revision 400317614 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 400422646 - Original comment: **
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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:d.schallert|d.schallert]] and made on <tt>2013-01-22 01:22:28 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-01-22 10:41:34 UTC</tt>.<br>
: The original revision id was <tt>400317614</tt>.<br>
: The original revision id was <tt>400422646</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>
<h4>Original Wikitext content:</h4>
<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">A ratio is the relationship between the frequencies of two sound waves. For example, a piano string vibrating at 110 Hz (110 times per second) and a piano string vibrating at 220 Hz are in a 2:1 ratio (since 220/110 reduces to 2/1).
<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">A frequency ratio is the relationship between the frequencies of two sound waves. For example, a piano string vibrating at 110 Hz (110 times per second) and a piano string vibrating at 220 Hz are in a 2:1 ratio (since 220/110 reduces to 2/1).


Ratios of frequencies may be written several ways:
Ratios of frequencies may be written several ways:
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In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the //approximate// ratio indicated. For example, a common shorthand expression might be //"4:6:7:9:11 chords in 17-EDO"// - which really means //"The chords in which the notes are in the approximate ratio of 4:6:7:9:11 in 17-EDO".//</pre></div>
In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the //approximate// ratio indicated. For example, a common shorthand expression might be //"4:6:7:9:11 chords in 17-EDO"// - which really means //"The chords in which the notes are in the approximate ratio of 4:6:7:9:11 in 17-EDO".//</pre></div>
<h4>Original HTML content:</h4>
<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;Ratios&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A ratio is the relationship between the frequencies of two sound waves. For example, a piano string vibrating at 110 Hz (110 times per second) and a piano string vibrating at 220 Hz are in a 2:1 ratio (since 220/110 reduces to 2/1).&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;Ratios&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A frequency ratio is the relationship between the frequencies of two sound waves. For example, a piano string vibrating at 110 Hz (110 times per second) and a piano string vibrating at 220 Hz are in a 2:1 ratio (since 220/110 reduces to 2/1).&lt;br /&gt;
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Ratios of frequencies may be written several ways:&lt;br /&gt;
Ratios of frequencies may be written several ways:&lt;br /&gt;