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== Tuning the Turkish Major scale == | == Tuning the Turkish Major scale == | ||
'''Turkish Major''' is a tempered max-variety 3 scale that is equivalent to a [[4L 3s|smitonic]] scale with one of its small steps diminished. This makes a Neapolitan Major scale which does not temper out 36/35. Not tempering 36/35 is actually quite useful, because it's the difference between 4:5:6 and 6:7:9 triads. This is important in a neutral third tone system because the smoothest neutral chord with a perfect fifth is 6:7:9:11. As a result, results of tempering out [[81/80]] or [[64/63]] are not as bad, because the scale must detemper one if it tempers out the other. Strangely, the detempering of 36/35 is not evident due to the odd intervalic nature of the Turkish Major scale. Smitonic in a sense does the opposite of what Neapolitan Major does in common practice, exaggerating 36/35 to the point that 4:5:6 and 6:7:9 triads no longer a recognizable 3/2, and the small step of Turkish Major becomes equal to the medium steps. | '''Turkish Major''' is a tempered max-variety 3 scale that is equivalent to a [[4L 3s|smitonic]] scale with one of its small steps diminished. This makes a Neapolitan Major scale which does not temper out 36/35. Not tempering 36/35 is actually quite useful, because it's the difference between 4:5:6 and 6:7:9 triads. This is important in a neutral third tone system because the smoothest neutral chord with a perfect fifth is 6:7:9:11. As a result, results of tempering out [[81/80]] or [[64/63]] are not as bad, because the scale must detemper one if it tempers out the other. Strangely, the detempering of 36/35 is not evident due to the odd intervalic nature of the Turkish Major scale. Smitonic in a sense does the opposite of what Neapolitan Major does in common practice, exaggerating 36/35 to the point that 4:5:6 and 6:7:9 triads no longer have a recognizable 3/2, and the small step of Turkish Major becomes equal to the medium steps. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Common '''Turkish Major''' Tunings | |+Common '''Turkish Major''' Tunings | ||
Line 284: | Line 284: | ||
''701.955'' | ''701.955'' | ||
| 843.646 | | 843.646 | ||
''849.0225'' | ''[[Tel:849.0225|849.0225]]'' | ||
| 1036.803 | | 1036.803 | ||
''1052.9325'' | ''1052.9325'' | ||
Line 379: | Line 379: | ||
786.206 | 786.206 | ||
| 827.586 | | 827.586 | ||
868.9655 | [[Tel:868.9655|868.9655]] | ||
|1034.483 | |1034.483 | ||
1117.241 | 1117.241 | ||
Line 428: | Line 428: | ||
| | | | ||
|218.182 | |218.182 | ||
254.5455 | [[Tel:254.5455|254.5455]] | ||
|436.364 | |436.364 | ||
509.091 | 509.091 | ||
|472.727 | |472.727 | ||
545.4545 | [[Tel:545.4545|545.4545]] | ||
|690.909 | |690.909 | ||
763.636 | 763.636 | ||
Line 493: | Line 493: | ||
227.027 | 227.027 | ||
259.4595 | [[Tel:259.4595|259.4595]] | ||
|389.189 | |389.189 | ||
454.054 | 454.054 | ||
518.919 | 518.919 | ||
|486.4865 | |[[Tel:486.4865|486.4865]] | ||
551.352 | 551.352 | ||
|681.081 | |681.081 | ||
713.5135 | [[Tel:713.5135|713.5135]] | ||
810.811 | 810.811 | ||
Line 540: | Line 540: | ||
492.308 | 492.308 | ||
|523.077 | |523.077 | ||
461.5385 | [[Tel:461.5385|461.5385]] | ||
|738.4615 | |[[Tel:738.4615|738.4615]] | ||
676.923 | 676.923 | ||
769.231 | 769.231 | ||
|861.5385 | |[[Tel:861.5385|861.5385]] | ||
830.769 | 830.769 | ||
|1076.923 | |1076.923 | ||
Line 587: | Line 587: | ||
731.707 | 731.707 | ||
|848.7805 | |[[Tel:848.7805|848.7805]] | ||
819.512 | 819.512 | ||
848.7805 | [[Tel:848.7805|848.7805]] | ||
|1053.6585 | |1053.6585 | ||
1024.39 | 1024.39 | ||
Line 646: | Line 646: | ||
|681.818 | |681.818 | ||
709.091 | 709.091 | ||
|845.4545 | |[[Tel:845.4545|845.4545]] | ||
|1036.364 | |1036.364 | ||
1063.636 | 1063.636 | ||
Line 721: | Line 721: | ||
465.306 | 465.306 | ||
|710.204 | |710.204 | ||
661.2245 | [[Tel:661.2245|661.2245]] | ||
|857.143 | |857.143 | ||
832.653 | 832.653 | ||
Line 771: | Line 771: | ||
|- | |- | ||
|Mode 1 | |Mode 1 | ||
|3 6 7 10 13 14 17 20 23 | |3 6 [[Tel:7 10 13 14 17 20 23|7 10 13 14 17 20 23]] | ||
|4 8 9 13 17 18 22 26 30 | |4 8 [[Tel:9 13 17 18 22 26 30|9 13 17 18 22 26 30]] | ||
|- | |- | ||
|Mode 2 | |Mode 2 | ||
|3 4 7 10 11 14 17 20 21 | |3 4 [[Tel:7 10 11 14 17 20 21|7 10 11 14 17 20 21]] | ||
|4 5 9 13 14 18 22 26 27 | |4 5 [[Tel:9 13 14 18 22 26 27|9 13 14 18 22 26 27]] | ||
|- | |- | ||
|Mode 3 | |Mode 3 | ||
|1 4 7 8 11 14 17 18 21 | |1 4 7 [[Tel:8 11 14 17 18 21|8 11 14 17 18 21]] | ||
|1 5 9 10 14 18 22 23 27 | |1 5 [[Tel:9 10 14 18 22 23 27|9 10 14 18 22 23 27]] | ||
|- | |- | ||
|Mode 4 | |Mode 4 | ||
|3 6 7 10 13 16 17 20 23 | |3 6 [[Tel:7 10 13 16 17 20 23|7 10 13 16 17 20 23]] | ||
|4 8 9 13 17 21 22 26 30 | |4 8 [[Tel:9 13 17 21 22 26 30|9 13 17 21 22 26 30]] | ||
|- | |- | ||
|Mode 5 | |Mode 5 | ||
|3 4 7 10 13 14 17 20 21 | |3 4 [[Tel:7 10 13 14 17 20 21|7 10 13 14 17 20 21]] | ||
|4 5 9 13 17 18 22 26 27 | |4 5 [[Tel:9 13 17 18 22 26 27|9 13 17 18 22 26 27]] | ||
|- | |- | ||
|Mode 6 | |Mode 6 | ||
|1 4 7 10 11 14 17 18 21 | |1 4 [[Tel:7 10 11 14 17 18 21|7 10 11 14 17 18 21]] | ||
|1 5 9 13 14 18 22 23 27 | |1 5 [[Tel:9 13 14 18 22 23 27|9 13 14 18 22 23 27]] | ||
|- | |- | ||
|Mode 7 | |Mode 7 | ||
|3 6 9 10 13 16 17 20 23 | |3 6 [[Tel:9 10 13 16 17 20 23|9 10 13 16 17 20 23]] | ||
|4 8 12 13 17 21 22 26 30 | |4 [[Tel:8 12 13 17 21 22 26 30|8 12 13 17 21 22 26 30]] | ||
|- | |- | ||
|Mode 8 | |Mode 8 | ||
|3 6 7 10 13 14 17 20 21 | |3 6 [[Tel:7 10 13 14 17 20 21|7 10 13 14 17 20 21]] | ||
|4 8 9 13 17 18 22 26 27 | |4 8 [[Tel:9 13 17 18 22 26 27|9 13 17 18 22 26 27]] | ||
|- | |- | ||
|Mode 9 | |Mode 9 | ||
|3 4 7 10 11 14 17 18 21 | |3 4 [[Tel:7 10 11 14 17 18 21|7 10 11 14 17 18 21]] | ||
|4 5 9 13 14 18 22 23 27 | |4 5 [[Tel:9 13 14 18 22 23 27|9 13 14 18 22 23 27]] | ||
|- | |- | ||
|Mode 10 | |Mode 10 | ||
|1 4 7 8 11 14 15 18 21 | |1 4 7 [[Tel:8 11 14 15 18 21|8 11 14 15 18 21]] | ||
|1 4 9 10 14 18 19 23 27 | |1 4 [[Tel:9 10 14 18 19 23 27|9 10 14 18 19 23 27]] | ||
|} | |} | ||