Tuning systems for qanun: Difference between revisions
Wikispaces>hstraub **Imported revision 247433417 - Original comment: ** |
Wikispaces>hstraub **Imported revision 247434221 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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:hstraub|hstraub]] and made on <tt>2011-08-21 15: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-21 15:51:34 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>247434221</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> | ||
| Line 65: | Line 65: | ||
=Newer systems= | =Newer systems= | ||
==System 2 | ==System 2, better suited for ottoman maqams== | ||
J.J. Weiss, Qanun no. 9. Luthier: Kenan Ozten. | J.J. Weiss, Qanun no. 9. Luthier: Kenan Ozten. | ||
| Line 72: | Line 72: | ||
Interval table XXX | Interval table XXX | ||
==Symmetrical model J.J. Weiss | ==Symmetrical model== | ||
J.J. Weiss | |||
Advantage: marked contrast between Segah of Ushaq and Segah of arabic Rast. | Advantage: marked contrast between Segah of Ushaq and Segah of arabic Rast. | ||
Equal division of 65/54 (320.98 cents) | Equal division of 65/54 (320.98 cents) | ||
| Line 80: | Line 81: | ||
Interval table XXX | Interval table XXX | ||
==Super-symmetrical model J.J. Weiss | ==Super-symmetrical model== | ||
J.J. Weiss | |||
XXX | XXX | ||
| Line 87: | Line 89: | ||
Interval table XXX | Interval table XXX | ||
==Super-symmetrical model J.J. Weiss | ==Super-symmetrical model, variant== | ||
J.J. Weiss | |||
Unequal division of 65/54 (320.98 cents) | Unequal division of 65/54 (320.98 cents) | ||
XXX | XXX | ||
==Equal division of the Zarlinian semitone | ==Equal division of the Zarlinian semitone== | ||
Equal division of [[25_24|25/24]] into 5 parts (to make it easier for luthiers) | J.J. Weiss | ||
Equal division of [[25_24|25/24 (70.67 cents)]] into 5 parts (to make it easier for luthiers) | |||
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|14|14|14|14|22</span> | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|14|14|14|14|22</span> | ||
| Line 99: | Line 103: | ||
Interval table XXX | Interval table XXX | ||
==Super-symmetrical system, ascending/descending with 54/49 | ==Super-symmetrical system, ascending/descending with 54/49== | ||
J.J. Weiss | |||
XXX | XXX | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|17|13|13|13|22</span> | ||
Interval table XXX | Interval table XXX | ||
==Super-symmetrical system, ascending/descending with 14/13 | ==Super-symmetrical system, ascending/descending with 14/13== | ||
J.J. Weiss | |||
<span style="color: #00000a; font-family: Tahoma;">XXX</span> | |||
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22, 16, 13, 12, 13, 16, 22</span> | |||
Interval table XXX | Interval table XXX | ||
==Super-symmetrical system, ascening/descending with 11/10 | ==Super-symmetrical system, ascening/descending with 11/10== | ||
J.J. Weiss | |||
XXX | XXX | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|16|15|13|13|13|22</span> | ||
Interval table XXX | Interval table XXX | ||
==Super-symmetrical system, | ==Super-symmetrical system, ascending/descending with 35/32== | ||
J.J. Weiss | |||
XXX | XXX | ||
==System Jacques Dudon (2006)== | ==System Jacques Dudon (2006)== | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 14,5 | 14,5 | 14,5 | 15 | 12 | 21,5</span> | ||
Interval table XXX | Interval table XXX | ||
| Line 131: | Line 140: | ||
==Arithmetic system, Jacques Dudon== | ==Arithmetic system, Jacques Dudon== | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 12 | 15 | 14,5 | 14,5 | 14,5 | 21,5 </span> | ||
Interval table XXX | Interval table XXX</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"><html><head><title>tuning systems for qanun</title></head><body><span style="font-size: 150%;"><strong>Tuning systems for the qanun</strong></span><br /> | <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"><html><head><title>tuning systems for qanun</title></head><body><span style="font-size: 150%;"><strong>Tuning systems for the qanun</strong></span><br /> | ||
| Line 146: | Line 153: | ||
<!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 2em;"><a href="#Older systems-Variant with 43/40 ascending/descending">Variant with 43/40 ascending/descending</a></div> | <!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 2em;"><a href="#Older systems-Variant with 43/40 ascending/descending">Variant with 43/40 ascending/descending</a></div> | ||
<!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 1em;"><a href="#Newer systems">Newer systems</a></div> | <!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 1em;"><a href="#Newer systems">Newer systems</a></div> | ||
<!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 2em;"><a href="#Newer systems-System 2 | <!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 2em;"><a href="#Newer systems-System 2, better suited for ottoman maqams">System 2, better suited for ottoman maqams</a></div> | ||
<!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 2em;"><a href="#Newer systems-Symmetrical model | <!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 2em;"><a href="#Newer systems-Symmetrical model">Symmetrical model</a></div> | ||
<!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical model | <!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical model">Super-symmetrical model</a></div> | ||
<!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical model | <!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical model, variant">Super-symmetrical model, variant</a></div> | ||
<!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 2em;"><a href="#Newer systems-Equal division of the Zarlinian semitone | <!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 2em;"><a href="#Newer systems-Equal division of the Zarlinian semitone">Equal division of the Zarlinian semitone</a></div> | ||
<!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascending/descending with 54/49 | <!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascending/descending with 54/49">Super-symmetrical system, ascending/descending with 54/49</a></div> | ||
<!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascending/descending with 14/13 | <!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascending/descending with 14/13">Super-symmetrical system, ascending/descending with 14/13</a></div> | ||
<!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascening/descending with 11/10 | <!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascening/descending with 11/10">Super-symmetrical system, ascening/descending with 11/10</a></div> | ||
<!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, | <!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 2em;"><a href="#Newer systems-Super-symmetrical system, ascending/descending with 35/32">Super-symmetrical system, ascending/descending with 35/32</a></div> | ||
<!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 2em;"><a href="#Newer systems-System Jacques Dudon (2006)">System Jacques Dudon (2006)</a></div> | <!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 2em;"><a href="#Newer systems-System Jacques Dudon (2006)">System Jacques Dudon (2006)</a></div> | ||
<!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Newer systems-Arithmetic system, Jacques Dudon">Arithmetic system, Jacques Dudon</a></div> | <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Newer systems-Arithmetic system, Jacques Dudon">Arithmetic system, Jacques Dudon</a></div> | ||
| Line 392: | Line 399: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Newer systems"></a><!-- ws:end:WikiTextHeadingRule:12 -->Newer systems</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Newer systems"></a><!-- ws:end:WikiTextHeadingRule:12 -->Newer systems</h1> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Newer systems-System 2 | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Newer systems-System 2, better suited for ottoman maqams"></a><!-- ws:end:WikiTextHeadingRule:14 -->System 2, better suited for ottoman maqams</h2> | ||
J.J. Weiss, Qanun no. 9. Luthier: Kenan Ozten.<br /> | J.J. Weiss, Qanun no. 9. Luthier: Kenan Ozten.<br /> | ||
<br /> | <br /> | ||
| Line 399: | Line 406: | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Newer systems-Symmetrical model | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Newer systems-Symmetrical model"></a><!-- ws:end:WikiTextHeadingRule:16 -->Symmetrical model</h2> | ||
J.J. Weiss<br /> | |||
Advantage: marked contrast between Segah of Ushaq and Segah of arabic Rast.<br /> | |||
Equal division of 65/54 (320.98 cents)<br /> | Equal division of 65/54 (320.98 cents)<br /> | ||
<br /> | <br /> | ||
| Line 407: | Line 415: | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Newer systems-Super-symmetrical model | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Newer systems-Super-symmetrical model"></a><!-- ws:end:WikiTextHeadingRule:18 -->Super-symmetrical model</h2> | ||
J.J. Weiss<br /> | |||
XXX<br /> | |||
<br /> | <br /> | ||
Mandal positions (cents): <span style="font-family: Tahoma;">22|13|13|1</span><span style="color: #00000a; font-family: Tahoma;">8</span><span style="font-family: Tahoma;">|13|13</span><span style="color: #00000a; font-family: Tahoma;">|</span><span style="font-family: Tahoma;">22</span><br /> | Mandal positions (cents): <span style="font-family: Tahoma;">22|13|13|1</span><span style="color: #00000a; font-family: Tahoma;">8</span><span style="font-family: Tahoma;">|13|13</span><span style="color: #00000a; font-family: Tahoma;">|</span><span style="font-family: Tahoma;">22</span><br /> | ||
| Line 414: | Line 423: | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Newer systems-Super-symmetrical model | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Newer systems-Super-symmetrical model, variant"></a><!-- ws:end:WikiTextHeadingRule:20 -->Super-symmetrical model, variant</h2> | ||
J.J. Weiss<br /> | |||
Unequal division of 65/54 (320.98 cents)<br /> | |||
<br /> | <br /> | ||
XXX<br /> | XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Newer systems-Equal division of the Zarlinian semitone | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Newer systems-Equal division of the Zarlinian semitone"></a><!-- ws:end:WikiTextHeadingRule:22 -->Equal division of the Zarlinian semitone</h2> | ||
J.J. Weiss<br /> | |||
Equal division of <a class="wiki_link" href="/25_24">25/24 (70.67 cents)</a> into 5 parts (to make it easier for luthiers)<br /> | |||
<br /> | <br /> | ||
Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|14|14|14|14|22</span><br /> | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|14|14|14|14|22</span><br /> | ||
| Line 426: | Line 437: | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Newer systems-Super-symmetrical system, ascending/descending with 54/49 | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Newer systems-Super-symmetrical system, ascending/descending with 54/49"></a><!-- ws:end:WikiTextHeadingRule:24 -->Super-symmetrical system, ascending/descending with 54/49</h2> | ||
J.J. Weiss<br /> | |||
XXX<br /> | |||
<br /> | <br /> | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|14|17|13|13|13|22</span><br /> | ||
<br /> | <br /> | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Newer systems-Super-symmetrical system, ascending/descending with 14/13 | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Newer systems-Super-symmetrical system, ascending/descending with 14/13"></a><!-- ws:end:WikiTextHeadingRule:26 -->Super-symmetrical system, ascending/descending with 14/13</h2> | ||
<br /> | |||
J.J. Weiss<br /> | |||
<span style="color: #00000a; font-family: Tahoma;">XXX</span><br /> | |||
<br /> | <br /> | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22, 16, 13, 12, 13, 16, 22</span><br /> | ||
<br /> | <br /> | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Newer systems-Super-symmetrical system, ascening/descending with 11/10 | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Newer systems-Super-symmetrical system, ascening/descending with 11/10"></a><!-- ws:end:WikiTextHeadingRule:28 -->Super-symmetrical system, ascening/descending with 11/10</h2> | ||
J.J. Weiss<br /> | |||
XXX<br /> | |||
<br /> | <br /> | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">22|16|15|13|13|13|22</span><br /> | ||
<br /> | <br /> | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Newer systems-Super-symmetrical system, | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Newer systems-Super-symmetrical system, ascending/descending with 35/32"></a><!-- ws:end:WikiTextHeadingRule:30 -->Super-symmetrical system, ascending/descending with 35/32</h2> | ||
J.J. Weiss<br /> | |||
XXX<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Newer systems-System Jacques Dudon (2006)"></a><!-- ws:end:WikiTextHeadingRule:32 -->System Jacques Dudon (2006)</h2> | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Newer systems-System Jacques Dudon (2006)"></a><!-- ws:end:WikiTextHeadingRule:32 -->System Jacques Dudon (2006)</h2> | ||
<br /> | <br /> | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 14,5 | 14,5 | 14,5 | 15 | 12 | 21,5</span><br /> | ||
<br /> | <br /> | ||
Interval table XXX<br /> | Interval table XXX<br /> | ||
| Line 458: | Line 474: | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Newer systems-Arithmetic system, Jacques Dudon"></a><!-- ws:end:WikiTextHeadingRule:34 -->Arithmetic system, Jacques Dudon</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Newer systems-Arithmetic system, Jacques Dudon"></a><!-- ws:end:WikiTextHeadingRule:34 -->Arithmetic system, Jacques Dudon</h2> | ||
<br /> | <br /> | ||
Mandal positions (cents): <span style="color: #00000a; | Mandal positions (cents): <span style="color: #00000a; font-family: Tahoma;">21,5 | 12 | 15 | 14,5 | 14,5 | 14,5 | 21,5 </span><br /> | ||
<br /> | |||
<br /> | |||
Interval table XXX | Interval table XXX</body></html></pre></div> | ||