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→Tunings: cleanup table
Line 69: Line 69:
! rowspan="2" |Tuning
! rowspan="2" |Tuning
! rowspan="2" |L:m:s
! rowspan="2" |L:m:s
! rowspan="2" |Good Just Approximations
! rowspan="2" |Good JI approximations
! rowspan="2" |other comments
! rowspan="2" |other comments
! colspan="8" |Degrees of the mode LMLSLMLSL  
! colspan="8" |Degrees of the mode LMLSLMLSL  
Line 75: Line 75:
!1!!2!!3!!4!!5 !!6 !! 7!!8
!1!!2!!3!!4!!5 !!6 !! 7!!8
|-
|-
| Interpretation || ||
|colspan=4 |2.3.7 subgroup interpretation
| || 9/8||7/6||21/16||4/3||3/2|| 14/9 ||7/4 ||16/9
| 9/8||7/6||21/16||4/3||3/2|| 14/9 ||7/4 ||16/9
|-
|-
|JI||7.479:2.309:1||Just 7/6, 8/7, and 3/2
|JI||7.479:2.309:1||Just 7/6, 8/7, and 3/2
Line 112: Line 112:
|30edo
|30edo
| 4:3:2
| 4:3:2
|
|13/8
| cross between Mavila and Semaphore
| [[superdiatonic]] fifth
|160
|160
|280
|280
Line 141: Line 141:
|35edo
|35edo
| 5:3:2
| 5:3:2
5:4:1
|
|
|Uses 21/16 as inconsistent 4/3
|
|171.429
|171.429
|274.286
|274.286
308.571
|445.714
|445.714
480
|514.286
|514.286
|685.714
|685.714
|788.571
|788.571
822.857
|960
|960
994.286
|1028.571
|-
|35edo
| 5:4:1
|
|
|171.429
|308.571
|480
|514.286
|685.714
|822.857
|994.286
|1028.571
|1028.571
|-
|-
Line 163: Line 171:
|5:4:2
|5:4:2
|35/32
|35/32
|cross between Mavila and Semaphore
|[[superdiatonic]] fifth
|162.162
|162.162
|291.892
|291.892
Line 189: Line 197:
|5:4:3
|5:4:3
|
|
| cross between Mavila and Semaphore
| [[superdiatonic]] fifth
|153.846
|153.846
|276.923
|276.923
Line 201: Line 209:
|40edo
|40edo
|6:3:2
|6:3:2
6:4:1
|
|
|Uses 21/16 as inconsistent 4/3
|
| 180
| 180
| 270
| 270
300
|450
|450
480
| 510
| 510
|690
|690
| 780
| 780
810
|960
|960
990
|1020
|-
|40edo
|6:4:1
|
|
| 180
| 300
|480
| 510
|690
|810
|990
|1020
|1020
|-
|-
Line 233: Line 249:
|6:5:1
|6:5:1
|
|
|Uses 21/16 as inconsistent 4/3
|
|171.429
|171.429
| 314.286
| 314.286
Line 258: Line 274:
|44edo
|44edo
|6:4:3
|6:4:3
6:5:2
|11/10 (and 9/7)
|11/10 (and 9/7)
|cross between Mavila and Semaphore
|[[superdiatonic]] fifth
|163.636
|163.636
|272.727
|272.727
300
|436.364
|436.364
463.636
|518.182
|518.182
|681.818
|681.818
|790.909
|790.909
818.182
|954.5455
|954.5455
981.818
|1036.364
|-
|44edo
|6:5:2
|11/10 (and 9/7)
|[[superdiatonic]] fifth
|163.636
|300
|463.636
|518.182
|681.818
|818.182
|981.818
|1036.364
|1036.364
|-
|-
|45edo
|45edo
|7:3:2
|7:3:2
7:4:1
|
|
|
|
|186.667
|186.667
|266.667
|266.667
293.333
|453.333
|453.333
480
|506.667
|506.667
|693.333
|693.333
|773.333
|773.333
800
|960
|960
986.667
|1013.333
|-
|45edo
|7:4:1
|
|
|186.667
|293.333
|480
|506.667
|693.333
|800
|986.667
|1013.333
|1013.333
|-
|-
|46edo
|46edo
|6:5:3
|6:5:3
8:2:1
|Neogothic thirds
|Neogothic thirds
|cross between Mavila and Semaphore
|[[superdiatonic]] fifth
Gentle fifth
|156.522
|156.522
208.696
|286.9565
|286.9565
260.87
|443.478
|443.478
469.565
|521.739
|521.739
495.652
|678.231
|678.231
704.348
|808.696
|808.696
756.522
|965.218
|965.218
|1043.418
|1043.418
991.314
|-
|46edo
|8:2:1
|Neogothic thirds
|[[gentle region|gentle]] fifth
|208.696
|260.87
|469.565
|495.652
|704.348
|756.522
|965.218
|991.314
|-
|-
|47edo
|47edo
|7:4:2
|7:4:2
7:5:1
|
|
|Uses 21/16 as inconsistent 4/3
|
|178.723
|178.723
|280.851
|280.851
306.383
|459.578
|459.578
485.106
|510.638
|510.638
|689.362
|689.362
|791.489
|791.489
817.021
|970.212
|970.212
995.744
|1021.277
|1021.27h
|-
|47edo
|7:5:1
|
|
|178.723
|306.383
|485.106
|510.638
|689.362
|817.021
|995.744
|1021.277
|-
|-
|48edo
|48edo
|6:5:4
|6:5:4
8:3:1
|
|
|cross between Mavila and Semaphore
|[[superdiatonic]] fifth
|150
|150
200
|275
|275
|425
|425
475
|525
|525
500
|675
|675
700
|800
|800
775
|950
|950
975
|1050
|1050
1000
|-
|48edo
|8:3:1
|
|[[superdiatonic]] fifth
|200
|275
|475
|500
|700
|775
|975
|1000
|-
|-
|49edo
|49edo
|7:4:3
|7:4:3
7:5:2
7:6:1
|
|
|Uses 21/16 as inconsistent 4/3
|
|171.429
|171.429
|269.388
|269.388
293.878
318.367
|440.817
|440.817
465.756
489.796
|514.286
|514.286
|685.714
|685.714
|783.6735
|783.6735
808.163
832.653
|955.102
|955.102
979.592
|1028.571
 
|-
1004.082
|49edo
|7:5:2
|
|
|171.429
|293.878
|465.756
|514.286
|685.714
|808.163
|979.592
|1028.571
|-
|49edo
|7:6:1
|
|
|171.429
|318.367
|489.796
|514.286
|685.714
|832.653
|1004.082
|1028.571
|1028.571
|-
|-
|50edo
|50edo
|8:3:2
|8:3:2
8:4:1
|
|
|
|
|192
|192
|264
|264
288
|456
|456
480
|504
|504
|696
|696
|768
|768
792
|960
|960
984
|1008
|-
|50edo
|8:4:1
|
|
|192
|288
|480
|504
|696
|792
|984
|1008
|1008
|-
|-
|51edo
|51edo
|7:5:3
|7:5:3
7:6:2
|
|
|cross between Mavila and Semaphore
|[[superdiatonic]] fifth
|164.706
|164.706
|282.353
|282.353
305.882
|447.059
|447.059
470.588
|517.647
|517.647
|682.353
|682.353
|800
|800
823.529
|964.706
|964.706
988.235
|1035.294
|-
|51edo
|7:6:2
|
|[[superdiatonic]] fifth
|164.706
|305.882
|470.588
|517.647
|682.353
|823.529
|988.235
|1035.294
|1035.294
|-
|-
Line 420: Line 496:
|8:5:1
|8:5:1
|
|
|Uses 21/16 as inconsistent 4/3
|
|184.615
|184.615
|300
|300
Line 432: Line 508:
|53edo
|53edo
|7:5:4
|7:5:4
7:6:3
|27/20
|27/20
|cross between Mavila and Semaphore
|[[superdiatonic]] fifth
|158.491
|158.491
|271.698
|271.698
294.34
|429.189
|429.189
452.831
452.831
Line 443: Line 517:
|679.245
|679.245
|792.453
|792.453
815.094
|950.944
|950.944
973.585
|1041.509
|1041.509
|-
|-
|54edo
|53edo
|8:4:3
|7:6:3
8:5:2
|27/20
 
|[[superdiatonic]] fifth
8:6:1
|158.491
|Septimal thirds
|294.34
Neogothic thirds
|452.831
|Uses 21/16 as inconsistent 4/3
|520.755
|177.778
|679.245
|266.667
|815.094
288.889
|973.585
 
|1041.509
311.111
|444.444
466.667
 
488.889
|511.111
|688.889
|777.778
800
 
822.222
|955.556
977.778
 
1000
|1022.222
|-
|55edo
|7:6:4
|
|cross between Mavila and Semaphore
|152.727
|283.636
|436.364
|523.636
|676.364
|807.273
|960
|1047.273
|-
|56edo
|8:5:3
8:7:1
|
|Golden tuning
Uses 21/16 as inconsistent 4/3
|171.429
|278.571
321.429
|450
492.857
|514.286
|685.714
|792.857
814.286
|964.286
985.714
|1028.571
|-
|57edo
|7:6:5
|
|cross between Mavila and Semaphore
|147.368
|273.684
|421.053
|526.316
|673.684
|800
|947.368
|1052.684
|-
|58edo
|8:5:4
8:6:3
 
8:7:2
|(Septimal and) Neogothic thirds
|cross between Mavila and Semaphore
|165.517
|268.9655
290.394
 
311.084
|435.222
455.911
 
476.601
|517.98
|682.02
|786.946
807.6355
 
828.325
|952.463
973.153
 
993.842
|1034.483
|-
|60edo
|8:7:3
|
|cross between Mavila and Semaphore
|160
|300
|460
|520
|680
|820
|980
|1040
|-
|62edo
|8:7:4
|Neogothic thirds
|cross between Mavila and Semaphore
|154.839
|290.323
|445.161
|522.581
|677.419
|812.903
|967.742
|1045.161
|-
|64edo
|8:7:5
|
|cross between Mavila and Semaphore
|150
|281.25
|431.25
|525
|675
|806.25
|956.25
|1050
|-
|66edo
|8:7:6
|Neogothic thirds
|cross between Mavila and Semaphore
|145.4545
|272.727
|418.182
|527.273
|672.727
|800
|945.4545
|1054.5455
|}
|}


Line 610: Line 541:
[[File:Diasem Lydian Example 14edo.mp3]] [[14edo]], L:M:S = 2:1:1 (degenerate; this is [[basic]] [[semiquartal]])
[[File:Diasem Lydian Example 14edo.mp3]] [[14edo]], L:M:S = 2:1:1 (degenerate; this is [[basic]] [[semiquartal]])


[[File:Diasem Lydian Example 16edo.mp3]] [[16edo]], L:M:S = 2:2:1 (degenerate; this is [[basic]] [[superdiatonic]])
[[File:Diasem Lydian Example 16edo.mp3]] [[16edo]], L:M:S = 2:2:1 (degenerate; this is [[basic]] [[[[superdiatonic]]]])


[[File:Diasem Lydian Example 19edo.mp3]] [[19edo]], L:M:S = 3:1:1 (degenerate; this is [[hard]] [[semiquartal]])
[[File:Diasem Lydian Example 19edo.mp3]] [[19edo]], L:M:S = 3:1:1 (degenerate; this is [[hard]] [[semiquartal]])
Line 642: Line 573:
[[File:Diasem Locrian Example 14edo.mp3]] [[14edo]], L:M:S = 2:1:1 (degenerate; this is [[basic]] [[semiquartal]])
[[File:Diasem Locrian Example 14edo.mp3]] [[14edo]], L:M:S = 2:1:1 (degenerate; this is [[basic]] [[semiquartal]])


[[File:Diasem Locrian Example 16edo.mp3]] [[16edo]], L:M:S = 2:2:1 (degenerate; this is [[basic]] [[superdiatonic]])
[[File:Diasem Locrian Example 16edo.mp3]] [[16edo]], L:M:S = 2:2:1 (degenerate; this is [[basic]] [[[[superdiatonic]]]])


[[File:Diasem Locrian Example 19edo.mp3]] [[19edo]], L:M:S = 3:1:1 (degenerate; this is [[hard]] [[semiquartal]])
[[File:Diasem Locrian Example 19edo.mp3]] [[19edo]], L:M:S = 3:1:1 (degenerate; this is [[hard]] [[semiquartal]])
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