Tuning systems for qanun: Difference between revisions

Wikispaces>hstraub
**Imported revision 247640345 - Original comment: **
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**Imported revision 247642481 - 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>
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: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-22 08:34:05 UTC</tt>.<br>
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<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">&lt;span style="font-size: 150%;"&gt;**Tuning systems for the qanun**&lt;/span&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;white-space: pre-wrap ! important" class="old-revision-html">&lt;span style="font-size: 150%;"&gt;**Tuning systems for the qanun**&lt;/span&gt;
[[toc]]
[[toc]]
Julien Jalaleddine Weiss, used with permission.
Julien Jalaleddine Weiss, used with permission.§
Reference: Pohlit, Stefan. 2011. Julien Jalâl Ed-Dine Weiss – A New Qānūn System: Its Application in the Performance
Reference: Pohlit, Stefan. 2011. Julien Jalâl Ed-Dine Weiss – A New Qānūn System: Its Application in the Performance
Practice of the Ensemble “Al-Kindi” and in Contemporary Western Music. PhD Thesis, MIAM/Istanbul Technical
Practice of the Ensemble “Al-Kindi” and in Contemporary Western Music. PhD Thesis, MIAM/Istanbul Technical
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Interval table of just intervals (ascending, descending):
Interval table of just intervals (ascending, descending):
XXX
|| 1/1 || 81/80 ||  ||  ||  ||  ||  ||  ||
|| 256/243 || 16/15 || 100/93 || 400/369 (asc.)
248/225 (desc.) || 200/183 (asc.)
82/75 (desc.) || 400/363 (asc.)
248/225 (desc.) || 10/9 || 9/8 ||
|| 32/27 || 6/5 || 75/62 (asc.)
121/100 (desc.) || 50/41 (asc.)
61/50 (desc.) || 75/61 (asc.)
49/40 (desc.) || 150/121 (asc.)
31/25 (desc.) || 5/4 || 81/64 ||


===Ascending/descending with 54/49===  
===Ascending/descending with 54/49===  
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&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Newer systems-System Jacques Dudon (2006)-Arithmetic system"&gt;Arithmetic system&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Newer systems-System Jacques Dudon (2006)-Arithmetic system"&gt;Arithmetic system&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:58 --&gt;Julien Jalaleddine Weiss, used with permission.&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:58 --&gt;Julien Jalaleddine Weiss, used with permission.§&lt;br /&gt;
Reference: Pohlit, Stefan. 2011. Julien Jalâl Ed-Dine Weiss – A New Qānūn System: Its Application in the Performance&lt;br /&gt;
Reference: Pohlit, Stefan. 2011. Julien Jalâl Ed-Dine Weiss – A New Qānūn System: Its Application in the Performance&lt;br /&gt;
Practice of the Ensemble “Al-Kindi” and in Contemporary Western Music. PhD Thesis, MIAM/Istanbul Technical&lt;br /&gt;
Practice of the Ensemble “Al-Kindi” and in Contemporary Western Music. PhD Thesis, MIAM/Istanbul Technical&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
Interval table of just intervals (ascending, descending):&lt;br /&gt;
Interval table of just intervals (ascending, descending):&lt;br /&gt;
XXX&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;1/1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;81/80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;256/243&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;100/93&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;400/369 (asc.)&lt;br /&gt;
248/225 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;200/183 (asc.)&lt;br /&gt;
82/75 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;400/363 (asc.)&lt;br /&gt;
248/225 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;75/62 (asc.)&lt;br /&gt;
121/100 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;50/41 (asc.)&lt;br /&gt;
61/50 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;75/61 (asc.)&lt;br /&gt;
49/40 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;150/121 (asc.)&lt;br /&gt;
31/25 (desc.)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;81/64&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 54/49"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Ascending/descending with 54/49&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="Newer systems-Symmetrical and super-symmetrical models-Ascending/descending with 54/49"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Ascending/descending with 54/49&lt;/h3&gt;