Turkish maqam music temperaments: Difference between revisions

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==Yarman temperament==
==Yarman temperament==
[[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:
[[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:


[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]
[&lt;1 2 3 2 4 4 4 5|, &lt;0 -33 -54 64 -43 -24 7 -60|]
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[&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]
[&lt;1 2 3 4 4 4 4 5|, &lt;0 -33 -54 -95 -43 -24 7 -60|]


The first mapping may be called 79&amp;159 in terms of [[Patent_val|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.
The first mapping may be called 79&amp;159 in terms of [[patent val]]s, and the second 80&amp;159. In any event both mappings can be used inconsistently. A Pythagorean tuning, i.e. one with pure fifths, is also possible.


==Karadeniz temperament==
==Karadeniz temperament==
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&lt;&lt;2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120||
&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, and can also be called 41&amp;106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators.
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.


Commas: 225/224, 243/242, 3125/3087
Commas: 225/224, 243/242, 3125/3087
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EDOs: 41, 106, 147, 253
EDOs: 41, 106, 147, 253
[[Category:temperaments]]
 
[[Category:temperament]]