Turkish maqam music temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>~~2010~~-12-~~28 11~~:02:11 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 23:10:37 UTC</tt>.<br>

: The original revision id was <tt>~~190117482~~</tt>.<br>

: The original revision id was <tt>216535996</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>

<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==

[[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 13-limit ~~wedgie~~:

[[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:

<<33 54 95 43 24 ~~9 58 -46 -84 69 -87 -144 -208~~ -~~284 -76|~~|

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

which gives a temperament tempering out 325/324, 364/363, 6250/6237, 4000/3993, 1001/1000, 3025/3024 and 123201/123200, and which can also be called 80&159. Note that another mapping for 7 is possible, and that in any event both can be used inconsistently. The generators 3/239 or 5/398 provide a little more accuracy than 159, at the expense of a slightly sharp fifth. However a Pythagorean tuning, ie one with pure fifths, is also possible and perhaps accords better with Yarman's ideas.

or

~~Commas: 325/324~~, ~~364/363, 1001/1000, 10976/10935~~

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

~~[[POTE tuning|POTE generator]]: 15.075~~

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.

~~Map: [~~<~~1 2 3 4 4 4|~~, <~~0 -33 -54 -95 -43 -24|]~~

~~EDOs: 80,~~ 159, ~~239~~, ~~398~~

==Karadeniz temperament==

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<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><h2 id="toc0"><a name="x-Yarman temperament"></a>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 13-limit ~~wedgie~~:~~<br />~~

<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 />

~~<br />~~

~~&lt;&lt;33 54 95 43 24 9 58 -46 -84 69 -87 -144 -208 -284 -76||~~<br />

<br />

~~which gives a temperament tempering out 325/324, 364/363, 6250/6237, 4000/3993, 1001/1000, 3025/3024 and 123201/123200, and which can also be called 80~~&~~amp~~;~~159. Note that another mapping for 7 is possible, and that in any event both can be used inconsistently. The generators~~ 3~~/239 or~~ 5~~/398 provide a little more accuracy than 159~~, ~~at the expense of a slightly sharp fifth. However a Pythagorean tuning, ie one with pure fifths, is also possible and perhaps accords better with Yarman's ideas.~~<br />

[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]<br />

<br />

~~Commas: 325/324, 364/363, 1001/1000, 10976/10935~~<br />

or<br />

<br />

<~~a class="wiki_link" href="/POTE%20tuning"~~>~~POTE generator&~~lt;~~/a>: 15.075~~<br />

[&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]<br />

<br />

~~Map: [~~&lt;~~1 2 3 4 4 4|~~, &~~lt;0 -33 -54 -95 -43 -24|]&lt~~;~~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 />

~~EDOs: 80,~~ 159, ~~239~~, ~~398~~<br />

<br />

<h2 id="toc1"><a name="x-Karadeniz temperament"></a>Karadeniz temperament</h2>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-28 11:02:11 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 23:10:37 UTC</tt>.<br>
-: The original revision id was <tt>190117482</tt>.<br>
+: The original revision id was <tt>216535996</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>
 <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==
-[[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 13-limit wedgie:
+[[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:
-&lt;&lt;33 54 95 43 24 9 58 -46 -84 69 -87 -144 -208 -284 -76||
+[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]
-which gives a temperament tempering out 325/324, 364/363, 6250/6237, 4000/3993, 1001/1000, 3025/3024 and 123201/123200, and which can also be called 80&amp;159. Note that another mapping for 7 is possible, and that in any event both can be used inconsistently. The generators 3/239 or 5/398 provide a little more accuracy than 159, at the expense of a slightly sharp fifth. However a Pythagorean tuning, ie one with pure fifths, is also possible and perhaps accords better with Yarman's ideas.
+or
-Commas: 325/324, 364/363, 1001/1000, 10976/10935
+[&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]
-[[POTE tuning|POTE generator]]: 15.075
+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.
-Map: [&lt;1 2 3 4 4 4|, &lt;0 -33 -54 -95 -43 -24|]
-EDOs: 80, 159, 239, 398
 ==Karadeniz temperament==
@@ Line 35: / Line 32: @@
 <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;
-&lt;a class="wiki_link" href="/Ozan%20Yarman"&gt;Ozan Yarman&lt;/a&gt; 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 13-limit wedgie:&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 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:&lt;br /&gt;
-&lt;br /&gt;
-&amp;lt;&amp;lt;33 54 95 43 24 9 58 -46 -84 69 -87 -144 -208 -284 -76||&lt;br /&gt;
 &lt;br /&gt;
-which gives a temperament tempering out 325/324, 364/363, 6250/6237, 4000/3993, 1001/1000, 3025/3024 and 123201/123200, and which can also be called 80&amp;amp;159. Note that another mapping for 7 is possible, and that in any event both can be used inconsistently. The generators 3/239 or 5/398 provide a little more accuracy than 159, at the expense of a slightly sharp fifth. However a Pythagorean tuning, ie one with pure fifths, is also possible and perhaps accords better with Yarman's ideas.&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;
 &lt;br /&gt;
-Commas: 325/324, 364/363, 1001/1000, 10976/10935&lt;br /&gt;
+or&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 15.075&lt;br /&gt;
+[&amp;lt;1 2 3 4 4 4 4 5|, &amp;lt;0 -33 -54 -95 -43 -24 7 -60|]&lt;br /&gt;
 &lt;br /&gt;
-Map: [&amp;lt;1 2 3 4 4 4|, &amp;lt;0 -33 -54 -95 -43 -24|]&lt;br /&gt;
+The first mapping may be called 79&amp;amp;159 in terms of patent vals, and the second 80&amp;amp;159. In any event both mappings can be used inconsistently. A Pythagorean tuning, ie one with pure fifths, is also possible.&lt;br /&gt;
-EDOs: 80, 159, 239, 398&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Karadeniz temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Karadeniz temperament&lt;/h2&gt;