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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This is a collection of some proposed [[temperament]]s for [[Arabic, Turkish, Persian music|Turkish maqam music]]. |
| 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>
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| : The original revision id was <tt>147537559</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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==
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| [[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:
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| <<33 54 95 43 24 9 58 -46 -84 69 -87 -144 -208 -284 -76||
| | == Yarman temperament == |
| | {{See also| Quartonic family }} |
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| 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.
| | [[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 mappings: |
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| ==Karadeniz temperament==
| | * {{Mapping| 1 2 3 2 4 4 4 5 | 0 -33 -54 64 -43 -24 7 -60 }} |
| 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:
| | * {{Mapping| 1 2 3 4 4 4 4 5 | 0 -33 -54 -95 -43 -24 7 -60 }} |
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| <<2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120|| | | The first mapping may be called 79 & 159 in terms of [[patent val]]s, and the second 80 & 159. In any event both mappings can be used inconsistently, and both temperaments are weak [[7-limit]] extensions of [[Quartonic family|quartonic temperament]]. A Pythagorean tuning, i.e. one with pure fifths, is also possible. |
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| 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.
| | == Karadeniz temperament == |
| | {{See also| Schismatic family #Garibaldi }} |
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| </pre></div>
| | K. E. Karadeniz proposed a 41-note mos with generator 31/106, giving a "hemigaribaldi" type of tuning, with an 11/9 neutral third generator. |
| <h4>Original HTML content:</h4>
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| <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>
| | It tempers out [[225/224]], [[243/242]], [[3025/3024]], [[3125/3087]], [[4000/3969]], and [[5120/5103]], and can also be called 41 & 106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators. |
| <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 />
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| | [[Category:Temperament collections]] |
| &lt;&lt;33 54 95 43 24 9 58 -46 -84 69 -87 -144 -208 -284 -76||<br />
| | [[Category:Pages with mostly numerical content]] |
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| | [[Category:Rank 2]] |
| 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 />
| | [[Category:Turkish music]] |
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Karadeniz temperament"></a><!-- ws:end:WikiTextHeadingRule:2 -->Karadeniz temperament</h2>
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| 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 /> | |
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| &lt;&lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||<br />
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| 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>
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This is a collection of some proposed temperaments for Turkish maqam music.
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 mappings:
- [⟨1 2 3 2 4 4 4 5], ⟨0 -33 -54 64 -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, and both temperaments are weak 7-limit extensions of quartonic temperament. A Pythagorean tuning, i.e. one with pure fifths, is also possible.
Karadeniz temperament
K. E. Karadeniz proposed a 41-note mos with generator 31/106, giving a "hemigaribaldi" type of tuning, with an 11/9 neutral third generator.
It tempers out 225/224, 243/242, 3025/3024, 3125/3087, 4000/3969, and 5120/5103, and can also be called 41 & 106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators.