Turkish maqam music temperaments: Difference between revisions

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Wikispaces>2708uu
**Imported revision 293438828 - Original comment: **
Wikispaces>hstraub
**Imported revision 293784916 - Original comment: Removed what looks like spam**
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:2708uu|2708uu]] and made on <tt>2012-01-19 00:47:22 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2012-01-20 03:13:41 UTC</tt>.<br>
: The original revision id was <tt>293438828</tt>.<br>
: The original revision id was <tt>293784916</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Removed what looks like spam</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">==Yarman temperament==  
<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">==Yarman temperament==  
[[Ozan Yarman]] has proposed defining the tuning of Turkish maqam [[http://www.honeymp3.com|music]] using a [[MOSScales|MOS]] of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:
[[Ozan Yarman]] has proposed defining the tuning of Turkish maqam &lt;span class="wiki_link_ext"&gt;music&lt;/span&gt; using a [[MOSScales|MOS]] of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:


[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]
[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]
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<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Turkish maqam music temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Yarman temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Yarman temperament&lt;/h2&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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Turkish maqam music temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Yarman temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Yarman temperament&lt;/h2&gt;
  &lt;a class="wiki_link" href="/Ozan%20Yarman"&gt;Ozan Yarman&lt;/a&gt; has proposed defining the tuning of Turkish maqam &lt;a class="wiki_link_ext" href="http://www.honeymp3.com" rel="nofollow"&gt;music&lt;/a&gt; using a &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:&lt;br /&gt;
  &lt;a class="wiki_link" href="/Ozan%20Yarman"&gt;Ozan Yarman&lt;/a&gt; has proposed defining the tuning of Turkish maqam &lt;span class="wiki_link_ext"&gt;music&lt;/span&gt; using a &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[&amp;lt;1 2 3 2 4 4 4 5|, &amp;lt;0 -33 -54 64 -43 -24 7 -60|]&lt;br /&gt;
[&amp;lt;1 2 3 2 4 4 4 5|, &amp;lt;0 -33 -54 64 -43 -24 7 -60|]&lt;br /&gt;

Revision as of 03:13, 20 January 2012

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author hstraub and made on 2012-01-20 03:13:41 UTC.
The original revision id was 293784916.
The revision comment was: Removed what looks like spam

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

Original Wikitext content:

==Yarman temperament== 
[[Ozan Yarman]] has proposed defining the tuning of Turkish maqam <span class="wiki_link_ext">music</span> using a [[MOSScales|MOS]] of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:

[<1 2 3 2 4 4 4 5|, <0 -33 -54 64 -43 -24 7 -60|]

or

[<1 2 3 4 4 4 4 5|, <0 -33 -54 -95 -43 -24 7 -60|]

The first mapping may be called 79&159 in terms of [[Patent val|patent vals]], and the second 80&159. In any event both mappings can be used inconsistently. A Pythagorean tuning, ie one with pure fifths, is also possible.

==Karadeniz temperament== 
K. E. Karadeniz proposed a 41 note MOS with generator 31/106. giving a "hemigarabaldi" type of tuning, with an 11/9 neutral third generator. It's more plausible as an 11-limit system than 13-limit; the 13-limit wedgie is:

<<2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||

which in the 11-limit becomes <<2 -16 -28 5 -30 -50 1 -20 67 111||. It tempers out 3125/3087, 4000/3969, 243/242, 5120/5103, 225/224, and 3025/3024, and can also be called 41&106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators.

Commas: 225/224, 243/242, 3125/3087

[[POTE tuning|POTE generator]]: 350.994

Map: [<1 1 7 11 2|, <0 2 -16 -25 5|]
EDOs: 41, 106, 147, 253

Original HTML content:

<html><head><title>Turkish maqam music temperaments</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Yarman temperament"></a><!-- ws:end:WikiTextHeadingRule:0 -->Yarman temperament</h2>
 <a class="wiki_link" href="/Ozan%20Yarman">Ozan Yarman</a> has proposed defining the tuning of Turkish maqam <span class="wiki_link_ext">music</span> using a <a class="wiki_link" href="/MOSScales">MOS</a> of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:<br />
<br />
[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]<br />
<br />
or<br />
<br />
[&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]<br />
<br />
The first mapping may be called 79&amp;159 in terms of <a class="wiki_link" href="/Patent%20val">patent vals</a>, and the second 80&amp;159. In any event both mappings can be used inconsistently. A Pythagorean tuning, ie one with pure fifths, is also possible.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Karadeniz temperament"></a><!-- ws:end:WikiTextHeadingRule:2 -->Karadeniz temperament</h2>
 K. E. Karadeniz proposed a 41 note MOS with generator 31/106. giving a &quot;hemigarabaldi&quot; type of tuning, with an 11/9 neutral third generator. It's more plausible as an 11-limit system than 13-limit; the 13-limit wedgie is:<br />
<br />
&lt;&lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||<br />
<br />
which in the 11-limit becomes &lt;&lt;2 -16 -28 5 -30 -50 1 -20 67 111||. It tempers out 3125/3087, 4000/3969, 243/242, 5120/5103, 225/224, and 3025/3024, and can also be called 41&amp;106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators.<br />
<br />
Commas: 225/224, 243/242, 3125/3087<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 350.994<br />
<br />
Map: [&lt;1 1 7 11 2|, &lt;0 2 -16 -25 5|]<br />
EDOs: 41, 106, 147, 253</body></html>