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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]]
|}
|}