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==Level 1 - Mohajira MODMOS by 1 alteration==
==Level 1 - Mohajira MODMOS by 1 alteration==
Rast - 1 2 v3 4 5 6 v7 1 or C D Ed F G A Bd C
Rast - 1 2 v3 4 5 6 v7 1  
 
Turkish Major - 1 2 3 4 5 v6 v7 1 or C D E F G Ad Bd C
 
==Level 2 - Mohajira MODMOS by 2 alterations ==
Altered Neapolitan Major - 1 b2 b3 4 5 6 v7 1 or C Db Eb F G A Bd C
 
Altered Melodic Minor - 1 2 b3 4 5 6 v7 1 or C D Eb F G A Bd C
 
Turkish Minor - 1 2 v3 4 5 b6 v7 1 or C D Ed F G Ab Bd C
 
Altered Major - 1 2 3 4 5 6 v7 1 and 1 v2 3 4 5 6 7 1 or C D E F G A Bd C and C Dd E F G A B C
 
Bayati or [[screamapillar]] - 1 v2 v3 4 5 b6 b7 1 or C Dd Ed F G Ab Bb
 
Altered Phrygian - 1 v2 b3 4 5 b6 b7 1 or C Dd Eb F G Ab Bb
 
==Level 3 - Meantone by 3 alterations==
 
[[File:altered_mohajira_levels.PNG|alt=altered mohajira levels.PNG|altered mohajira levels.PNG]]
 
==Modes of various Mohajira MOS and MODMOS.==
 
=== Rast===


{| class="wikitable"
{| class="wikitable"
|-
|-
| Mode 1
|Mode 1
| C D Ed F G A Bd C
| C D Ed F G A Bd C
|-
|-
| Mode 2
| Mode 2
| D Ed F G A Bd C D
|D Ed F G A Bd C D
|-
|-
| Mode 3
| Mode 3
Line 153: Line 130:
|-
|-
| Mode 4
| Mode 4
| F G A Bd C D Ed F
|F G A Bd C D Ed F
|-
|-
| Mode 5
|Mode 5
| G A Bd C D Ed F G
|G A Bd C D Ed F G
|-
|-
| Mode 6
| Mode 6
| A Bd C D Ed F G A
|A Bd C D Ed F G A
|-
|-
| Mode 7
|Mode 7
| Bd C D Ed F G A Bd
|Bd C D Ed F G A Bd
|}
|}


==='''Turkish Major'''===
Turkish Major - 1 2 3 4 5 v6 v7 1
{| class="wikitable"
{| class="wikitable"
|-
|-
| Mode 1
|Mode 1
| C D E F G Ad Bd C
|C D E F G Ad Bd C
|-
|-
| Mode 2
| Mode 2
Line 177: Line 154:
| E F G Ad Bd C D E
| E F G Ad Bd C D E
|-
|-
| Mode 4
|Mode 4
| F G Ad Bd C D E F
|F G Ad Bd C D E F
|-
|-
| Mode 5
|Mode 5
| G Ad Bd C D E F G
|G Ad Bd C D E F G
|-
|-
| Mode 6
| Mode 6
| Ad Bd C D E F G Ad
|Ad Bd C D E F G Ad
|-
|-
| Mode 7
|Mode 7
| Bd C D E F G Ad Bd
| Bd C D E F G Ad Bd
|}
|}


=== Altered Melodic Minor===
==Level 2 - Mohajira MODMOS by 2 alterations ==
Altered Neapolitan Major - 1 b2 b3 4 5 6 v7 1 or C Db Eb F G A Bd C
 
Altered Melodic Minor (Altered Dorian) - 1 2 b3 4 5 6 v7 1


{| class="wikitable"
{| class="wikitable"
|-
|-
| Mode 1
|Mode 1
| C D Eb F G A(d) Bd C
|C D Eb F G A Bd C
|-
|-
| Mode 2
|Mode 2
| D Eb F G A Bd C D
|D Eb F G A Bd C D
|-
|-
| Mode 3
|Mode 3
| Eb F G A Bd C D Eb
|Eb F G A Bd C D Eb
|-
|-
| Mode 4
|Mode 4
| F G A Bd C D Eb F
|F G A Bd C D Eb F
|-
|-
| Mode 5
|Mode 5
| G A Bd C D Eb F G
|G A Bd C D Eb F G
|-
|-
| Mode 6
|Mode 6
| A Bd C D Eb F G A
| A Bd C D Eb F G A
|-
|-
| Mode 7
| Mode 7
| Bd C D Eb F G A Bd
|Bd C D Eb F G A Bd
|}
|}


==='''Altered Major'''===
Turkish Minor - 1 2 b3 4 5 v6 b7 1 or C D Eb F G Ad Bb C
 
Altered Major - 1 2 3 4 5 6 v7 1 and 1 v2 3 4 5 6 7 1
{| class="wikitable"
{| class="wikitable"
|-
|-
| Mode 1
|Mode 1
| C D E F G A Bd C
|C D E F G A Bd C
| C Dd E F G A B C
|C Dd E F G A B C
|-
|-
| Mode 2
|Mode 2
| D E F G A Bd C D
|D E F G A Bd C D
| Dd E F G A B C Dd
|Dd E F G A B C Dd
|-
|-
| Mode 3
|Mode 3
| E F G A Bd C D E
|E F G A Bd C D E
| E F G A B C Dd E
|E F G A B C Dd E
|-
|-
| Mode 4
|Mode 4
| F G A B C Dd E F
|F G A B C Dd E F
| F G A Bd C D E F
| F G A Bd C D E F
|-
|-
| Mode 5
|Mode 5
| G A Bd C D E F G
|G A Bd C D E F G
| G A B C Dd E F G
|G A B C Dd E F G
|-
|-
| Mode 6
|Mode 6
| A B C Dd E F G A
|A B C Dd E F G A
| A B C Dd E F G A
|A B C Dd E F G A
|-
|-
| Mode 7
| Mode 7
| Bd C D E F G A Bd
|Bd C D E F G A Bd
| B C Dd E F G A B
| B C Dd E F G A B
|}
|}


=Harmonization of Mohajira=
Bayati or [[screamapillar]] - 1 v2 v3 4 5 b6 b7 1 or C Dd Ed F G Ab Bb
 
Altered Phrygian - 1 v2 b3 4 5 b6 b7 1 or C Dd Eb F G Ab Bb
 
==Level 3 - Meantone by 3 alterations==
 
[[File:altered_mohajira_levels.PNG|alt=altered mohajira levels.PNG|altered mohajira levels.PNG]]
 
== 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.
{| class="wikitable"
|+Common '''Turkish Major''' Tunings
! rowspan="2" | Tuning
! rowspan="2" |L:m:s
! rowspan="2" | Good Just Approximations
! rowspan="2" | other comments
! colspan="6" |Degrees
|-
! D
!E
! F
!G
!Ad
!Bd
|-
|
|
|
|
|(~)9/8
| 5/4
''81/64''
| (~)4/3
|(~)3/2
|~175/108
''~44/27''
| ~175/96
''~11/6''
|-
|“Just”
| 1.649:1.256:1
''2.26:1.63:1''
| Just 5/4
''Just 9/8 and 4/3''
|
| 193.157
''203.91''
|386.314
''407.82''
|503.422
''498.045''
|696.578
''701.955''
| 843.646
''849.0225''
| 1036.803
''1052.9325''
|-
|17edo
|3:2:1
|25/24
|
|211.765
| 423.529
|494.118
| 705.882
| 847.059
|1058.8235
|-
|21edo
| 4:2:1
|
|
| 228.571
|457.143
|514.286
|742.857
|857.143
| 1085.714
|-
|23edo
|4:3:1
| Neogothic thirds
|Mavila
|208.696
|417.381
|469.565
|678.261
|834.783
|1043.478
|-
|24edo
|4:3:2
| 4/3
| Mohajira
|200
|400
| 500
|700
|850
|1050
|-
| 25edo
|5:2:1
|36/35
|Mavila
|240
|480
| 528
|768
|864
|1104
|-
| 27edo
|5:3:1
| 27/25
|
|222.222
|444.444
|488.889
|711.111
| 844.444
|1066.667
|-
|28edo
|5:3:2
|
|Antikythera
|214.286
|428.571
|514.286
|728.571
|857.143
|1071.429
|-
|29edo
|5:4:1
6:2:1
|Neogothic thirds
|Score
|206.897
248.276
|413.793
496.552
|455.172
537.931
|662.069
786.206
| 827.586
868.9655
|1034.483
1117.241
|-
|30edo
|5:4:2
|13/8
|Mavila
|200
| 400
| 480
|680
|840
|1040
|-
| 31edo
| 5:4:3
6:3:1
|5/4
8/7
|Mohajira
|193.548
232.258
|387.097
464.516
|503.226
|696.774
735.484
|851.613
|1045.161
1083.871
|-
|32edo
|6:3:2
|
|Mavila
|225
|450
|525
|750
|862.5
|1087.5
|-
|33edo
|6:4:1
7:2:1
|9/7
|
|218.182
254.5455
|436.364
509.091
|472.727
545.4545
|690.909
763.636
|836.364
|1054.5455
1090.909
|-
|35edo
|6:4:3
6:5:1
 
7:3:1
|Neogothic thirds
|Has both “perfect“ fifths of 35edo
|205.714
240
|411.429
480
|514.286
445.714
|720
651.429
 
754.286
|925.714
822.857
 
857.143
|1131.429
1028.571
 
1097.143
|-
|36edo
|6:5:2
7:3:2
|
|Mavila
|200
233.333
|400
466.667
|466.667
533.333
|666.667
766.667
|833.333
866.667
|1033.333
1100
|-
|37edo
|6:5:3
7:4:1
 
8:2:1
|13/10
|Has 5/4 and both “perfect” fifths of 37edo
|194.595
227.027
 
259.4595
|389.189
454.054
 
518.919
|486.4865
551.352
|681.081
713.5135
 
810.811
|843.243
875.676
|1037.838
1065.866
 
1135.135
|-
|38edo
|6:5:4
7:4:2
|6/5
14/13
|
|189.474
221.052
|378.947
442.105
|505.263
|694.737
726.316
|852.632
|1042.105
1073.684
|-
|39edo
|7:4:3
7:5:1
 
8:3:1
|
|Misses 39edo perfect fifth
|215.385
246.154
|430.769
492.308
|523.077
461.5385
|738.4615
676.923
 
769.231
|861.5385
830.769
|1076.923
1046.154
 
1107.692
|-
|40edo
|7:5:2
8:3:2
|13/8
|Has both “perfect“ fifths of 40edo
|210
240
|420
480
|480
540
|690
780
|840
870
|1050
1110
|-
|41edo
|7:5:3
7:6:1
 
8:4:1
|
|
|204.878
234.146
|409.756
468.296
|497.561
439.024
|702.439
643.902
 
731.707
|848.7805
819.512
 
848.7805
|1053.6585
1024.39
 
1082.927
|-
|42edo
|7:5:4
7:6:2
|
|Has both “perfect“ fifths of 42edo
|200
|400
|514.286
457.143
|714.286
657.143
|857.143
828.571
|1057.143
1028.571
|-
|43edo
|7:6:3
8:4:3
 
8:5:1
|16/15
|
|195.349
223.256
|390.698
446.512
|502.326
530.233
 
474.419
|697.767
753.488
|865.116
837.209
|1060.465
1088.372
|-
|44edo
|7:6:4
8:5:2
|
|Has both “perfect“ fifths of 44edo
|190.909
218.182
|381.818
436.364
|490.909
|681.818
709.091
|845.4545
|1036.364
1063.636
|-
|45edo
|7:6:5
8:5:3
 
8:6:1
|27/25
|Golden
Has both “perfect“ fifths of 45edo
|186.667
213.333
|373.333
426.667
|506.667
453.333
|693.333
720
 
666.667
|853.333
826.667
|1040
1066.666
|-
|46edo
|8:5:4
|
|Misses fifth of 46edo
|208.696
|417.381
|521.739
|730.435
|860.87
|1069.566
|-
|47edo
|8:6:3
8:7:1
|9/8
|Has both “perfect“ fifths of 47edo, all sizes of 47edo major third
|204.255
|408.511
|485.106
434.043
|689.362
638.297
|842.553
817.021
|1046.8085
1021.277
|-
|48edo
|8:7:2
|
|
|200
|400
|450
|650
|825
|1025
|-
|49edo
|8:6:5
8:7:3
|
|Has both “perfect“ fifths of 49edo
|195.918
|391.837
|514.286
465.306
|710.204
661.2245
|857.143
832.653
|1053.061
1028.571
|-
|50edo
|8:7:4
|
|Mavila, only has one 50edo interval
|192
|384
|480
|672
|840
|1032
|-
|51edo
|8:7:5
|
|
|188.235
|376.471
|494.118
|682.353
|847.059
|1035.294
|-
|52edo
|8:7:6
|
|
|184.615
|369.231
|507.692
|692.308
|853.846
|1038.4615
|}
 
==Harmonization of Mohajira==
While the structure of mohajira[7] may seem similar to the shape of meantone, because of there being only one size of thirds, it's better to harmonize the scale with a combination of various voicings of 1-5-7-4 and 1-5-7-3 as well as other combinations of chords such as quartal tetrads. The Rast scales generally have more variety as they contain major and minor thirds as well as neutral thirds.
While the structure of mohajira[7] may seem similar to the shape of meantone, because of there being only one size of thirds, it's better to harmonize the scale with a combination of various voicings of 1-5-7-4 and 1-5-7-3 as well as other combinations of chords such as quartal tetrads. The Rast scales generally have more variety as they contain major and minor thirds as well as neutral thirds.


Line 257: Line 770:
{| class="wikitable"
{| class="wikitable"
|-
|-
| Mode 1
|Mode 1
| 3 6 7 10 13 14 17 20 23
|3 6 7 10 13 14 17 20 23
| 4 8 9 13 17 18 22 26 30
|4 8 9 13 17 18 22 26 30
|-
|-
| Mode 2
|Mode 2
| 3 4 7 10 11 14 17 20 21
|3 4 7 10 11 14 17 20 21
| 4 5 9 13 14 18 22 26 27
|4 5 9 13 14 18 22 26 27
|-
|-
| Mode 3
|Mode 3
| 1 4 7 8 11 14 17 18 21
|1 4 7 8 11 14 17 18 21
| 1 5 9 10 14 18 22 23 27
|1 5 9 10 14 18 22 23 27
|-
|-
| Mode 4
|Mode 4
| 3 6 7 10 13 16 17 20 23
|3 6 7 10 13 16 17 20 23
| 4 8 9 13 17 21 22 26 30
|4 8 9 13 17 21 22 26 30
|-
|-
| Mode 5
|Mode 5
| 3 4 7 10 13 14 17 20 21
|3 4 7 10 13 14 17 20 21
| 4 5 9 13 17 18 22 26 27
|4 5 9 13 17 18 22 26 27
|-
|-
| Mode 6
|Mode 6
| 1 4 7 10 11 14 17 18 21
|1 4 7 10 11 14 17 18 21
| 1 5 9 13 14 18 22 23 27
|1 5 9 13 14 18 22 23 27
|-
|-
| Mode 7
|Mode 7
| 3 6 9 10 13 16 17 20 23
|3 6 9 10 13 16 17 20 23
| 4 8 12 13 17 21 22 26 30
|4 8 12 13 17 21 22 26 30
|-
|-
| Mode 8
|Mode 8
| 3 6 7 10 13 14 17 20 21
|3 6 7 10 13 14 17 20 21
| 4 8 9 13 17 18 22 26 27
|4 8 9 13 17 18 22 26 27
|-
|-
| Mode 9
|Mode 9
| 3 4 7 10 11 14 17 18 21
|3 4 7 10 11 14 17 18 21
| 4 5 9 13 14 18 22 23 27
|4 5 9 13 14 18 22 23 27
|-
|-
| Mode 10
|Mode 10
| 1 4 7 8 11 14 15 18 21
|1 4 7 8 11 14 15 18 21
| 1 4 9 10 14 18 19 23 27
|1 4 9 10 14 18 19 23 27
|}
|}


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