Tone

Revision as of 21:11, 20 June 2014 by Wikispaces>spt3125 (**Imported revision 514562152 - Original comment: **)

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This revision was by author spt3125 and made on 2014-06-20 21:11:32 UTC.
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Original Wikitext content:

The **Tone** as an interval measure was already known in Ancient Greece. [[http://en.wikipedia.org/wiki/Aristoxenus|Aristoxenus (fl. 335 BC)]] defined the tone as the difference between the [[3_2|just fifth (3/2)]] and the [[4_3|just fourth (4/3)]]. From this base size, he derived the size of other intervals as multiples or fractions of the tone, so for instance the just fourth was 2<span style="font-size: 70%; vertical-align: super;">1</span>/<span style="font-size: 70%; vertical-align: sub;">2</span> tones in size.

From a technical perspective, the tone as an interval with frequency ratio [[9_8|9/8]] and a size of ca. 204 [[cent|cents]] is exactly the same as the major diatonic second.

see also [[http://www.tonalsoft.com/monzo/aristoxenus/aristoxenus.aspx|The measurement of Aristoxenus's Divisions of the Tetrachord]]

Original HTML content:

<html><head><title>Tone</title></head><body>The <strong>Tone</strong> as an interval measure was already known in Ancient Greece. <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Aristoxenus" rel="nofollow">Aristoxenus (fl. 335 BC)</a> defined the tone as the difference between the <a class="wiki_link" href="/3_2">just fifth (3/2)</a> and the <a class="wiki_link" href="/4_3">just fourth (4/3)</a>. From this base size, he derived the size of other intervals as multiples or fractions of the tone, so for instance the just fourth was 2<span style="font-size: 70%; vertical-align: super;">1</span>/<span style="font-size: 70%; vertical-align: sub;">2</span> tones in size.<br />
<br />
From a technical perspective, the tone as an interval with frequency ratio <a class="wiki_link" href="/9_8">9/8</a> and a size of ca. 204 <a class="wiki_link" href="/cent">cents</a> is exactly the same as the major diatonic second.<br />
<br />
see also <a class="wiki_link_ext" href="http://www.tonalsoft.com/monzo/aristoxenus/aristoxenus.aspx" rel="nofollow">The measurement of Aristoxenus's Divisions of the Tetrachord</a></body></html>