|
|
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | ==Yarman temperament== |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | [[Ozan_Yarman|Ozan Yarman]] has proposed defining the tuning of Turkish maqam <span style="">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: |
| : This revision was by author [[User:Gedankenwelt|Gedankenwelt]] and made on <tt>2013-11-04 16:12:15 UTC</tt>.<br>
| |
| : The original revision id was <tt>466056850</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 <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|] | | [<1 2 3 2 4 4 4 5|, <0 -33 -54 64 -43 -24 7 -60|] |
| Line 15: |
Line 8: |
| [<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 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. | | 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 "hemigaribaldi" 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 "hemigaribaldi" 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: |
|
| |
|
| Line 26: |
Line 19: |
| Commas: 225/224, 243/242, 3125/3087 | | Commas: 225/224, 243/242, 3125/3087 |
|
| |
|
| [[POTE tuning|POTE generator]]: 350.994 | | [[POTE_tuning|POTE generator]]: 350.994 |
|
| |
|
| Map: [<1 1 7 11 2|, <0 2 -16 -28 5|] | | Map: [<1 1 7 11 2|, <0 2 -16 -28 5|] |
| EDOs: 41, 106, 147, 253</pre></div> | | |
| <h4>Original HTML content:</h4>
| | EDOs: 41, 106, 147, 253 |
| <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>
| | [[Category:temperament]] |
| <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;hemigaribaldi&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 -28 5|]<br />
| |
| EDOs: 41, 106, 147, 253</body></html></pre></div>
| |
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:
[<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 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 "hemigaribaldi" 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 generator: 350.994
Map: [<1 1 7 11 2|, <0 2 -16 -28 5|]
EDOs: 41, 106, 147, 253