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Carlos Beta: Difference between revisions

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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:guest|guest]] and made on <tt>2011-03-02 04:03:00 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-03-20 21:16:25 UTC</tt>.<br>
: The original revision id was <tt>206384938</tt>.<br>
: The original revision id was <tt>212246872</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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==Theory==  
==Theory==  
Beta is a non-octave, equally tempered scale discovered by [[Wendy Carlos]]. It divides the [[just perfect fifth]] into 11 parts. Each interval is 63.8 [[cent]]s in size. The [[sycamore family]] of temperaments is related to Beta; betic and 5-limit sycamore in particular.
Beta is a non-octave, equally tempered scale discovered by [[Wendy Carlos]]. It divides the [[just perfect fifth]] into 11 parts. Each interval is 63.8 [[cent]]s in size. The [[sycamore family]] of temperaments is related to Beta; betic and 5-limit sycamore in particular.
==Intervals==
|| Degrees || Cents ~ Cents octave reduced ||
|| 0 || 0 ||
|| 1 || 64 ||
|| 2 || 128 ||
|| 3 || 191 ||
|| 4 || 255 ||
|| 5 || 319 ||
|| 6 || 383 ||
|| 7 || 447 ||
|| 8 || 511 ||
|| 9 || 574 ||
|| 10 || 638 ||
|| 11 || 702 ||
|| 12 || 766 ||
|| 13 || 830 ||
|| 14 || 893 ||
|| 15 || 957 ||
|| 16 || 1021 ||
|| 17 || 1085 ||
|| 18 || 1149 ||
|| 19 || 1212 ~ 12 ||
|| 20 || 1276 ~ 76 ||
|| 21 || 1340 ~ 140 ||
|| 22 || 1404 ~ 204 ||
|| 23 || 1468 ~ 268 ||
|| 24 || 1532 ~ 332 ||
|| 25 || 1595 ~ 395 ||
|| 26 || 1659 ~ 459 ||
|| 27 || 1723 ~ 523 ||
|| 28 || 1787 ~ 587 ||
|| 29 || 1851 ~ 651 ||
|| 30 || 1914 ~ 714 ||
|| 31 || 1978 ~ 778 ||
|| 32 || 2042 ~ 842 ||
|| 33 || 2106 ~ 906 ||
|| 34 || 2170 ~ 970 ||
|| 35 || 2233 ~ 1033 ||
|| 36 || 2297 ~ 1097 ||


[[http://www.wendycarlos.com/resources/pitch.html|Article by Wendy Carlos]]
[[http://www.wendycarlos.com/resources/pitch.html|Article by Wendy Carlos]]
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  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Theory&lt;/h2&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Theory&lt;/h2&gt;
  Beta is a non-octave, equally tempered scale discovered by &lt;a class="wiki_link" href="/Wendy%20Carlos"&gt;Wendy Carlos&lt;/a&gt;. It divides the &lt;a class="wiki_link" href="/just%20perfect%20fifth"&gt;just perfect fifth&lt;/a&gt; into 11 parts. Each interval is 63.8 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size. The &lt;a class="wiki_link" href="/sycamore%20family"&gt;sycamore family&lt;/a&gt; of temperaments is related to Beta; betic and 5-limit sycamore in particular.&lt;br /&gt;
  Beta is a non-octave, equally tempered scale discovered by &lt;a class="wiki_link" href="/Wendy%20Carlos"&gt;Wendy Carlos&lt;/a&gt;. It divides the &lt;a class="wiki_link" href="/just%20perfect%20fifth"&gt;just perfect fifth&lt;/a&gt; into 11 parts. Each interval is 63.8 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size. The &lt;a class="wiki_link" href="/sycamore%20family"&gt;sycamore family&lt;/a&gt; of temperaments is related to Beta; betic and 5-limit sycamore in particular.&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="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Intervals&lt;/h2&gt;
&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Degrees&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Cents ~ Cents octave reduced&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;128&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;191&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;255&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;319&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;383&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;447&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;511&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;574&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;638&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;702&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;766&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;830&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;893&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;957&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1021&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1085&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1149&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1212 ~ 12&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1276 ~ 76&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1340 ~ 140&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1404 ~ 204&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1468 ~ 268&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1532 ~ 332&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1595 ~ 395&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1659 ~ 459&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1723 ~ 523&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1787 ~ 587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1851 ~ 651&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1914 ~ 714&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1978 ~ 778&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2042 ~ 842&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2106 ~ 906&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2170 ~ 970&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2233 ~ 1033&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2297 ~ 1097&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.wendycarlos.com/resources/pitch.html" rel="nofollow"&gt;Article by Wendy Carlos&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.wendycarlos.com/resources/pitch.html" rel="nofollow"&gt;Article by Wendy Carlos&lt;/a&gt;&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/Carlos_Beta"