Turkish maqam music temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 216535996 - Original comment: ** |
Wikispaces>hstraub **Imported revision 248099651 - Original comment: ** |
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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: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-24 02:53:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>248099651</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> | ||
<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 music using a 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 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: | ||
[<1 2 3 2 4 4 4 5|, <0 -33 -54 64 -43 -24 7 -60|] | [<1 2 3 2 4 4 4 5|, <0 -33 -54 64 -43 -24 7 -60|] | ||
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[<1 2 3 4 4 4 4 5|, <0 -33 -54 -95 -43 -24 7 -60|] | [<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 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. | 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== | ==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: | 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: | ||
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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"><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> | <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>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 music using a MOS of 79 or 80 notes out of 159. This means a generator of 2/159, which suggests the 19-limit mapping:<br /> | <a class="wiki_link" href="/Ozan%20Yarman">Ozan Yarman</a> has proposed defining the tuning of Turkish maqam music 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 /> | <br /> | ||
[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]<br /> | [&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]<br /> | ||
| Line 40: | Line 40: | ||
[&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]<br /> | [&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]<br /> | ||
<br /> | <br /> | ||
The first mapping may be called 79&amp;159 in terms of patent vals, 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 /> | 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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Karadeniz temperament"></a><!-- ws:end:WikiTextHeadingRule:2 -->Karadeniz temperament</h2> | <!-- 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 /> | 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 /> | <br /> | ||
&lt;&lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||<br /> | &lt;&lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||<br /> | ||