Carlos Beta: Difference between revisions

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**Imported revision 206384938 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 212246872 - 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: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]]
Line 21: Line 62:
  &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;

Revision as of 21:16, 20 March 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Andrew_Heathwaite and made on 2011-03-20 21:16:25 UTC.
The original revision id was 212246872.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

=Carlos Beta (equal division of the [[perfect fifth]] into 11 equal parts)= 
= = 
==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.

==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.seraph.it/dep/det/DawnOfBeta.mp3|The Dawn Of Beta]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html|blog entry]])
[[http://www.seraph.it/dep/det/LonelyBetaWoman.mp3|Lonely Beta Woman]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html|blog entry]])
[[http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3|Over The Beta Rainbow]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html|blog entry]])

Original HTML content:

<html><head><title>Carlos Beta</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)"></a><!-- ws:end:WikiTextHeadingRule:0 -->Carlos Beta (equal division of the <a class="wiki_link" href="/perfect%20fifth">perfect fifth</a> into 11 equal parts)</h1>
 <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><!-- ws:end:WikiTextHeadingRule:2 --> </h1>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Theory"></a><!-- ws:end:WikiTextHeadingRule:4 -->Theory</h2>
 Beta is a non-octave, equally tempered scale discovered by <a class="wiki_link" href="/Wendy%20Carlos">Wendy Carlos</a>. It divides the <a class="wiki_link" href="/just%20perfect%20fifth">just perfect fifth</a> into 11 parts. Each interval is 63.8 <a class="wiki_link" href="/cent">cent</a>s in size. The <a class="wiki_link" href="/sycamore%20family">sycamore family</a> of temperaments is related to Beta; betic and 5-limit sycamore in particular.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals</h2>
 <br />


<table class="wiki_table">
    <tr>
        <td>Degrees<br />
</td>
        <td>Cents ~ Cents octave reduced<br />
</td>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>64<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>128<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>191<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>255<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>319<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>383<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>447<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>511<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>574<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>638<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>702<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>766<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>830<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>893<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>957<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>1021<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>1085<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>1149<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>1212 ~ 12<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>1276 ~ 76<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>1340 ~ 140<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>1404 ~ 204<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>1468 ~ 268<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>1532 ~ 332<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>1595 ~ 395<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>1659 ~ 459<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>1723 ~ 523<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>1787 ~ 587<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>1851 ~ 651<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>1914 ~ 714<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>1978 ~ 778<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>2042 ~ 842<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>2106 ~ 906<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>2170 ~ 970<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>2233 ~ 1033<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>2297 ~ 1097<br />
</td>
    </tr>
</table>

<br />
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