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>2010-06-~~07 21~~:13:27 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-09 06:11:25 UTC</tt>.<br>

: The original revision id was <tt>~~147537559~~</tt>.<br>

: The original revision id was <tt>147854703</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>

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

which gives a temperament tempering out 325/324, 364/363, 6250/6237, 4000/3993, 1001/1000, 3025/3024 and 123201/123200. 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.

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.

==Karadeniz temperament==

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<<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. Aside from 31/106, 74/253 can be recommended as a generator.

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, 74/253 can be recommended as a generator.

</pre></div>

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&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. 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 />

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 />

<br />

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

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&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. Aside from 31/106, 74/253 can be recommended as a generator.</body></html></pre></div>

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, 74/253 can be recommended as a generator.</body></html></pre></div>

@@ 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>2010-06-07 21:13:27 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-09 06:11:25 UTC</tt>.<br>
-: The original revision id was <tt>147537559</tt>.<br>
+: The original revision id was <tt>147854703</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>
@@ Line 11: / Line 11: @@
 &lt;&lt;33 54 95 43 24 9 58 -46 -84 69 -87 -144 -208 -284 -76||
-which gives a temperament tempering out 325/324, 364/363, 6250/6237, 4000/3993, 1001/1000, 3025/3024 and 123201/123200. 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.
+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.
 ==Karadeniz temperament==
@@ Line 18: / Line 18: @@
 &lt;&lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||
-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. Aside from 31/106, 74/253 can be recommended as a generator.
+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, 74/253 can be recommended as a generator.
 </pre></div>
@@ Line 27: / Line 27: @@
 &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. 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;
+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;
 &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;
@@ Line 34: / Line 34: @@
 &amp;lt;&amp;lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||&lt;br /&gt;
 &lt;br /&gt;
-which in the 11-limit becomes &amp;lt;&amp;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. Aside from 31/106, 74/253 can be recommended as a generator.&lt;/body&gt;&lt;/html&gt;</pre></div>
+which in the 11-limit becomes &amp;lt;&amp;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;amp;106. Aside from 31/106, 74/253 can be recommended as a generator.&lt;/body&gt;&lt;/html&gt;</pre></div>