Turkish maqam music temperaments: Difference between revisions

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Phase out wedgies
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{{See also| Schismatic family #Garibaldi }}
{{See also| Schismatic family #Garibaldi }}


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 is 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.  
 
{{Multival| 2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120 }}
 
which in the 11-limit becomes:
 
{{Multival| 2 -16 -28 5 -30 -50 1 -20 67 111 }}


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.
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.