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The [[5L 2s]] MOS has multiple well-known [[MODMOS]]es, with at least five of these having names of their own. For the sake of ease, "A"- meaning "augmented"- refers to a step that is larger than the MOS's normal "L" step by a single chroma.
{{breadcrumb}}
The [[5L 2s]] MOS has multiple well-known [[MODMOS]]es, with at least five of these having names of their own. For the sake of ease, "A"- meaning "augmented"- refers to a step that is larger than the MOS's normal "L" step by a single chroma.


== LsLLLLs ==
== LsLLLLs ==
The '''LsLLLLs''' MODMOS is referred to here as the '''Melodic Scale'''. While it is perhaps better known by other names such as "'''melodic minor'''" and "'''jazz minor'''" after this scale's default mode, there is another mode of this scale that can be called "melodic major" and "jazz major", so the scale is referred to here as the "melodic scale" in an attempt to remain neutral concerning the major and minor distinction. The [[3-limit]] version of this MODMOS only differs from 3-limit Dorian by means of having [[243/128]] as a major seventh. Because of it being well known, this MODMOS has multiple [[MODmuddles]] derived from it.
The '''LsLLLLs''' MODMOS is referred to here as the '''Melodic Scale'''. While it is perhaps better known by other names such as "'''melodic minor'''" and "'''jazz minor'''" after this scale's default mode, there is another mode of this scale that can be called "melodic major" and "jazz major", so the scale is referred to here as the "melodic scale" in an attempt to remain neutral concerning the major and minor distinction. The [[3-limit]] version of this MODMOS only differs from 3-limit Dorian by means of having [[243/128]] as a major seventh. Because of it being well known, this MODMOS has multiple [[MODmuddles]] derived from it.
{{MOS mode degrees|MODMOS Step Pattern=LsLLLLs}}


== LsLLsAs ==
== LsLLsAs ==
The '''LsLLsAs''' MODMOS is known as the '''Harmonic Minor Scale'''. The 3-limit version of this MODMOS differs from 3-limit Aeolian by means of having [[243/128]] as a major seventh, and thus, having [[19683/16384]] as the augmented second step. Because of it being well known, this MODMOS has multiple MODmuddles derived from it.
The '''LsLLsAs''' MODMOS is known as the '''Harmonic Minor Scale'''. The 3-limit version of this MODMOS differs from 3-limit Aeolian by means of having [[243/128]] as a major seventh, and thus, having [[19683/16384]] as the augmented second step. Because of it being well known, this MODMOS has multiple MODmuddles derived from it.
{{MOS mode degrees|MODMOS Step Pattern=LsLLsAs}}
{| class="wikitable"
{| class="wikitable"
|+Common '''Harmonic Minor Tunings'''
|+ style="font-size: 105%;" | Common harmonic minor tunings
! rowspan="2" |'''Tuning'''
|-
! rowspan="2" |A:L:s
! rowspan="2" | '''Tuning'''
! rowspan="2" |Good Just Approximations
! rowspan="2" | A:L:s
! rowspan="2" |Other comments
! rowspan="2" | Good just approximations
! colspan="6" |Degrees
! rowspan="2" | Other comments
! colspan="6" | Degrees
|-
|-
!B
! B
!C
! C
!D
! D
!E
! E
!F
! F
!G#
! G#
|-
|-
|
|  
|
|  
|
|  
|
|  
|~9/8
| ~9/8
|~6/5
| ~6/5
|~4/3
| ~4/3
|~3/2
| ~3/2
|8/5
| 8/5
|~15/8
| ~15/8
|-
|-
|“Just”
| “Just”
|2.299:1.649:1
| 2.299:1.649:1
|Just 5/4
| Just 5/4
|
|  
|193.157
| 193.157
|310.265
| 310.265
|503.422
| 503.422
|696.578
| 696.578
|813.686
| 813.686
|1082.892
| 1082.892
|-
|-
|12edo
| 12edo
|3:2:1
| 3:2:1
|
|  
|
|  
|200
| 200
|300
| 300
|500
| 500
|700
| 700
|800
| 800
|1100
| 1100
|-
|-
|13edo
| 13edo
|4:2:1
| 4:2:1
|
|  
|Wolf fourth and fifth
| Wolf fourth and fifth<br />Chroma equals L
Chroma equals L
| 184.615
|184.615
| 276.923
|276.923
| 461.5385
|461.5385
| 646.154
|646.154
| 738.4615
|738.4615
| 1107.692
|1107.692
|-
|-
|14edo
| 14edo
|5:2:1
| 5:2:1
|
|  
|Chroma equals L+s
| Chroma equals {{nowrap|L + s}}
|171.429
| 171.429
|257.143
| 257.143
|428.571
| 428.571
|600
| 600
|685.714
| 685.714
|1114.286
| 1114.286
|-
|-
|15edo
| 15edo
|6:2:1
| 6:2:1
|
|  
|Chroma equals 2L
| Chroma equals 2L
|160
| 160
|240
| 240
|400
| 400
|560
| 560
|640
| 640
|1120
| 1120
|-
|-
|16edo
| 16edo
|4:3:1
| 4:3:1<br />7:2:1
7:2:1
|  
|
| Chroma equals {{nowrap|2L + s}}
|Chroma equals 2L+s
| 225<br />150
|225
| 300<br />225
150
| 525<br />375
|300
| 750<br />525
225
| 825<br />600
|525
| 1125
375
|750
525
|825
600
|1125
|-
|-
|17edo
| 17edo
|5:3:1
| 5:3:1<br />8:2:1
8:2:1
| 25/24
|25/24
| Gentle fifth<br />Chroma equals 3L
|Gentle fifth
| 211.765<br />141.1765
 
| 282.353<br />211.765
Chroma equals 3L
| 494.118<br />352.941
|211.765
| 705.882<br />494.118
141.1765
| 776.412<br />564.706
|282.353
| 1129.412
211.765
|494.118
352.941
|705.882
494.118
|776.412
564.706
|1129.412
|-
|-
|18edo
| 18edo
|6:3:1
| 6:3:1
|26/25 and 7/6
| 26/25 and 7/6
|
|  
|200
| 200
|266.667
| 266.667
|466.667
| 466.667
|666.667
| 666.667
|733.333
| 733.333
|1133.333
| 1133.333
|-
|-
|19edo
| 19edo
|4:3:2
| 4:3:2<br />7:3:1
7:3:1
| 6/5 and 14/13<br />28/27
|6/5 and 14/13
| Chroma equals {{nowrap|L + s}}
28/27
| 189.474
|Chroma equals L+s
| 315.7895<br />252.632
|189.474
| 505.263<br />442.105
|315.7895
| 694.737<br />631.579
252.632
| 821.053<br />694.737
|505.263
| 1073.684<br />1136.842
442.105
|694.737
631.579
|821.053
694.737
|1073.684
1136.842
|-
|-
|20edo
| 20edo
|5:3:2
| 5:3:2<br />5:4:1<br />8:3:1
5:4:1
| 13/8 and 15/14
 
|  
8:3:1
| 180<br />240
|13/8 and 15/14
| 300<br />240
|
| 480<br />420<br />540
|180
| 720<br />660<br />780
240
| 840<br />720
|300
| 1080<br />1140
240
|480
420
 
540
|720
660
 
780
|840
720
|1080
1140
|-
|-
|21edo
| 21edo
|6:3:2
| 6:3:2<br />6:4:1
6:4:1
|  
|
|  
|
| 171.429<br />228.571
|171.429
| 285.714
228.571
| 457.143<br />514.286
|285.714
| 628.571<br />742.857
|457.143
| 742.857<br />800
514.286
| 1085.714<br />1142.857
|628.571
742.857
|742.857
800
|1085.714
1142.857
|-
|-
|22edo
| 22edo
|7:3:2
| 7:3:2<br />7:4:1
7:4:1
| 9/7 (and 11/10)
|9/7 (and 11/10)
|  
|
| 163.636<br />218.182
|163.636
| 272.727
218.182
| 436.364<br />490.909
|272.727
| 600<br />709.091
|436.364
| 709.091<br />763.636
490.909
| 1090.909<br />1145.4545
|600
709.091
|709.091
763.636
|1090.909
1145.4545
|-
|-
|23edo
| 23edo
|8:3:2
| 8:3:2<br />8:4:1
8:4:1
| 14/11
|14/11
|  
|
| 156.522<br />208.696
|156.522
| 260.87
208.696
| 417.391<br />469.565
|260.87
| 573.813<br />678.261
|417.391
| 678.261<br />730.435
469.565
| 1095.652<br />1147.826
|573.813
678.261
|678.261
730.435
|1095.652
1147.826
|-
|-
|24edo
| 24edo
|6:5:1
| 6:5:1
|
|  
|7 out of 4L 3m 3s
| 7 out of 4L&nbsp;3m&nbsp;3s
|250
| 250
|300
| 300
|550
| 550
|800
| 800
|850
| 850
|1150
| 1150
|-
|-
|25edo
| 25edo
|7:4:2
| 7:4:2<br />7:5:1
7:5:1
| 13/11
|13/11
|  
|
| 192<br />240
|192
| 288
240
| 480<br />528
|288
| 672<br />768
|480
| 864<br />816
528
| 1004<br />1148
|672
768
|864
816
|1004
1148
|-
|-
|26edo
| 26edo
|8:5:1
| 8:5:1
|8/7
| 8/7
|
|  
|230.769
| 230.769
|276.923
| 276.923
|507.692
| 507.692
|738.4615
| 738.4615
|784.615
| 784.615
|1153.846
| 1153.846
|-
|-
|27edo
| 27edo
|6:4:3
| 6:4:3<br />6:5:2
6:5:2
| 27/25 and 7/6
|27/25 and 7/6
|  
|
| 177.778<br />222.222
|177.778
| 311.111
222.222
| 488.889<br />533.333
|311.111
| 666.667<br />755.556
|488.889
| 800<br />844.444
533.333
| 1066.667<br />1111.111
|666.667
755.556
|800
844.444
|1066.667
1111.111
|-
|-
|28edo
| 28edo
|7:4:3
| 7:4:3<br />7:5:2<br />7:6:1
7:5:2
| 14/13<br />5/4
 
|  
7:6:1
| 171.429<br />214.286<br />257.143
|14/13
| 300
5/4
| 471.429<br />514.286<br />557.143
|
| 642.857<br />728.571<br />814.286
|171.429
| 771.429<br />814.286<br />857.143
214.286
| 1071.429<br />1111.286<br />1157.143
 
257.143
|300
|471.429
514.286
 
557.143
|642.857
728.571
 
814.286
|771.429
814.286
 
857.143
|1071.429
1111.286
 
1157.143
|-
|-
|29edo
| 29edo
|8:4:3
| 8:4:3<br />8:5:2<br />8:6:1
8:5:2
| (11/10 and) 13/11
 
| Gentle fifth
8:6:1
| 165.517<br />206.897<br />248.276
|(11/10 and) 13/11
| 289.655
|Gentle fifth
| 455.172<br />496.552<br />537.931
|165.517
| 620.69<br />703.448<br />786.207
206.897
| 744.828<br />786.207<br />827.586
 
| 1075.862<br />1117.241<br />1158.621
248.276
|289.655
|455.172
496.552
 
537.931
|620.69
703.448
 
786.207
|744.828
786.207
 
827.586
|1075.862
1117.241
 
1158.621
|-
|-
|30edo
| 30edo
|6:5:3
| 6:5:3
|13/8 and 15/14
| 13/8 and 15/14
|
|  
|200
| 200<br />280
280
| 320
|320
| 520<br />600
|520
| 720<br />880
600
| 840<br />920
|720
| 1080<br />1160
880
|840
920
|1080
1160
|-
|-
|31edo
| 31edo
|7:5:3
| 7:5:3<br />7:6:2
7:6:2
| 5/4
|5/4
|  
|
| 193.548<br />232.258
|193.548
| 309.667
232.258
| 503.226<br />541.9355
|309.667
| 696.774<br />774.194
|503.226
| 812.903<br />851.613
541.9355
| 1083.871<br />1122.582
|696.774
774.194
|812.903
851.613
|1083.871
1122.582
|-
|-
|32edo
| 32edo
|8:5:3
| 8:5:3<br />8:7:1
8:7:1
| 16/15
|16/15
| Golden<br />7 out of 5L&nbsp;5m&nbsp;2s
|Golden
| 162.5<br />262.5
7 out of 5L 5m 2s
| 300
|162.5
| 412.5<br />562.5
262.5
| 675<br />825
|300
| 787.5<br />862.5
|412.5
| 1087.5<br />1162.5
562.5
|675
825
|787.5
862.5
|1087.5
1162.5
|-
|-
|33edo
| 33edo
|6:5:4
| 6:5:4
|
|  
|
|  
|181.818
| 181.818
|327.273
| 327.273
|509.091
| 509.091
|690.909
| 690.909
|836.364
| 836.364
|1054.5455
| 1054.5455
|-
|-
|34edo
| 34edo
|7:5:4
| 7:5:4<br />7:6:3
7:6:3
|  
|
|  
|
| 176.471<br />211.765
|176.471
| 317.647
211.765
| 494.118<br />529.412
|317.647
| 670.588<br />741.1765
|494.118
| 811.765
529.412
| 1058.8235<br />1094.118
|670.588
741.1765
|811.765
|1058.8235
1094.118
|-
|-
|35edo
| 35edo
|8:5:4
| 8:5:4<br />8:6:3<br />8:7:2
 
|  
8:6:3
|  
 
| 171.429<br />205.714<br />240
8:7:2
| 308.571
|
| 480<br />514.286<br />548.571
|
| 651.429<br />720<br />788.571
|171.429
| 788.571<br />822.857<br />857.143
205.714
| 1062.857<br />1097.143<br />1131.429
 
240
|308.571
|480
514.286
 
548.571
|651.429
720
 
788.571
|788.571
822.857
 
857.143
|1062.857
1097.143
 
1131.429
|-
|-
|37edo
| 37edo
|7:6:4
| 7:6:4
|
|  
|
|  
|194.595
| 194.595
|324.324
| 324.324
|518.919
| 518.919
|713.5135
| 713.5135
|843.243
| 843.243
|1070.27
| 1070.27
|-
|-
|38edo
| 38edo
|8:7:3
| 8:7:3
|6/5
| 6/5
|
|  
|221.053
| 221.053
|315.7895
| 315.7895
|536.842
| 536.842
|757.895
| 757.895
|852.632
| 852.632
|1105.263
| 1105.263
|-
|-
|40edo
| 40edo
|7:6:5
| 7:6:5
|13/8
| 13/8
|
|  
|180
| 180
|330
| 330
|510
| 510
|690
| 690
|840
| 840
|1050
| 1050
|-
|-
|41edo
| 41edo
|8:6:5
| 8:6:5<br />8:7:4
8:7:4
| 4/3<br />9/8
|4/3
|  
9/8
| 175.61<br />204.878
|
| 321.951
|175.61
| 497.561<br />526.829
204.878
| 673.171<br />731.707
|321.951
| 819.512<br />848.7805
|497.561
| 1053.6585<br />1082.927
526.829
|673.171
731.707
|819.512
848.7805
|1053.6585
1082.927
|-
|-
|44edo
| 44edo
|8:7:5
| 8:7:5
|
|  
|
|  
|190.909
| 190.909
|327.273
| 327.273
|518.182
| 518.182
|709.091
| 709.091
|845.4545
| 845.4545
|1063.636
| 1063.636
|-
|-
|47edo
| 47edo
|8:7:6
| 8:7:6
|
|  
|
|  
|178.723
| 178.723
|331.915
| 331.915
|510.638
| 510.638
|689.372
| 689.372
|842.553
| 842.553
|1046.8085
| 1046.8085
|}
|}


== LLsLsAs ==
== LLsLsAs ==
The '''LLsLsAs''' MODMOS is known as the '''Harmonic Major Scale'''. The 3-limit version of this MODMOS differs from 3-limit Ionian by means of having [[128/81]] as a minor sixth, and thus, having 19683/16384 as the augmented second step. Because of it being at least somewhat well known, this MODMOS has multiple MODmuddles derived from it.
The '''LLsLsAs''' MODMOS is known as the '''Harmonic Major Scale'''. The 3-limit version of this MODMOS differs from 3-limit Ionian by means of having [[128/81]] as a minor sixth, and thus, having 19683/16384 as the augmented second step. Because of it being at least somewhat well known, this MODMOS has multiple MODmuddles derived from it.
{{MOS mode degrees|MODMOS Step Pattern=LLsLsAs}}
{| class="wikitable"
{| class="wikitable"
|+Common '''Harmonic Major Tunings'''
|+ style="font-size: 105%;" | Common harmonic major tunings
! rowspan="2" |'''Tuning'''
|-
! rowspan="2" |A:L:s
! rowspan="2" | '''Tuning'''
! rowspan="2" |Good Just Approximations
! rowspan="2" | A:L:s
! rowspan="2" |Other comments
! rowspan="2" | Good just approximations
! colspan="6" |Degrees
! rowspan="2" | Other comments
! colspan="6" | Degrees
|-
|-
!D
! D
!E
! E
!F
! F
!G
! G
!Ab
! Ab
!B
! B
|-
|-
|
|  
|
|  
|
|  
|
|  
|~9/8
| ~9/8
|5/4
| 5/4
|~4/3
| ~4/3
|~3/2
| ~3/2
|8/5
| 8/5
|~15/8
| ~15/8
|-
|-
|“Just”
| “Just”
|2.299:1.649:1
| 2.299:1.649:1
|Just 5/4
| Just 5/4
|
|  
|193.157
| 193.157
|386.314
| 386.314
|503.422
| 503.422
|696.578
| 696.578
|813.686
| 813.686
|1082.892
| 1082.892
|-
|-
|12edo
| 12edo
|3:2:1
| 3:2:1
|
|  
|
|  
|200
| 200
|400
| 400
|500
| 500
|700
| 700
|800
| 800
|1100
| 1100
|-
|-
|13edo
| 13edo
|4:2:1
| 4:2:1
|
|  
|Wolf fourth and fifth
| Wolf fourth and fifth<br />Chroma equals L
Chroma equals L
| 184.615
|184.615
| 369.308
|369.308
| 461.5385
|461.5385
| 646.154
|646.154
| 738.4615
|738.4615
| 1107.692
|1107.692
|-
|-
|14edo
| 14edo
|5:2:1
| 5:2:1
|
|  
|Chroma equals L+s
| Chroma equals {{nowrap|L + s}}
|171.429
| 171.429
|342.857
| 342.857
|428.571
| 428.571
|600
| 600
|685.714
| 685.714
|1114.286
| 1114.286
|-
|-
|15edo
| 15edo
|6:2:1
| 6:2:1
|
|  
|Chroma equals 2L
| Chroma equals 2L
|160
| 160
|320
| 320
|400
| 400
|560
| 560
|640
| 640
|1120
| 1120
|-
|-
|16edo
| 16edo
|4:3:1
| 4:3:1<br />7:2:1
7:2:1
|  
|
| Chroma equals {{nowrap|2L + s}}
|Chroma equals 2L+s
| 225<br />150
|225
| 450<br />300
150
| 525<br />375
|450
| 750<br />525
300
| 825<br />600
|525
| 1125
375
|750
525
|825
600
|1125
|-
|-
|17edo
| 17edo
|5:3:1
| 5:3:1<br />8:2:1
8:2:1
| 25/24
|25/24
| Gentle fifth<br />Chroma equals 3L
|Gentle fifth
| 211.765<br />141.1765
 
| 423.529<br />282.353
Chroma equals 3L
| 494.118<br />352.941
|211.765
| 705.882<br />494.118
141.1765
| 776.412<br />564.706
|423.529
| 1129.412
282.353
|494.118
352.941
|705.882
494.118
|776.412
564.706
|1129.412
|-
|-
|18edo
| 18edo
|6:3:1
| 6:3:1
|26/25 and 7/6
| 26/25 and 7/6
|
|  
|200
| 200
|400
| 400
|466.667
| 466.667
|666.667
| 666.667
|733.333
| 733.333
|1133.333
| 1133.333
|-
|-
|19edo
| 19edo
|4:3:2
| 4:3:2<br />7:3:1
7:3:1
| 14/13<br />28/27
|14/13
| Chroma equals {{nowrap|L + s}}
28/27
| 189.474
|Chroma equals L+s
| 378.947
|189.474
| 505.263<br />442.105
|378.947
| 694.737<br />631.579
|505.263
| 821.053<br />694.737
442.105
| 1073.684<br />1136.842
|694.737
631.579
|821.053
694.737
|1073.684
1136.842
|-
|-
|20edo
| 20edo
|5:3:2
| 5:3:2<br />5:4:1<br />8:3:1
5:4:1
| 13/8 and 15/14
 
|  
8:3:1
| 180<br />240
|13/8 and 15/14
| 360<br />480
|
| 480<br />420<br />540
|180
| 720<br />660<br />780
240
| 840<br />720
|360
| 1080<br />1140
480
|480
420
 
540
|720
660
 
780
|840
720
|1080
1140
|-
|-
|21edo
| 21edo
|6:3:2
| 6:3:2<br />6:4:1
6:4:1
|  
|
|  
|
| 171.429<br />228.571
|171.429
| 342.857<br />457.143
228.571
| 457.143<br />514.286
|342.857
| 628.571<br />742.857
457.143
| 742.857<br />800
|457.143
| 1085.714<br />1142.857
514.286
|628.571
742.857
|742.857
800
|1085.714
1142.857
|-
|-
|22edo
| 22edo
|7:3:2
| 7:3:2<br />7:4:1
7:4:1
| 9/7 (and 11/10)
|9/7 (and 11/10)
|  
|
| 163.636<br />218.182
|163.636
| 327.273<br />436.364
218.182
| 436.364<br />490.909
|327.273
| 600<br />709.091
436.364
| 709.091<br />763.636
|436.364
| 1090.909<br />1145.4545
490.909
|600
709.091
|709.091
763.636
|1090.909
1145.4545
|-
|-
|23edo
| 23edo
|8:3:2
| 8:3:2<br />8:4:1
8:4:1
| 14/11
|14/11
|  
|
| 156.522<br />208.696
|156.522
| 313.0435<br />417.391
208.696
| 417.391<br />469.565
|313.0435
| 573.813<br />678.261
417.391
| 678.261<br />730.435
|417.391
| 1095.652<br />1147.826
469.565
|573.813
678.261
|678.261
730.435
|1095.652
1147.826
|-
|-
|24edo
| 24edo
|6:5:1
| 6:5:1
|
|  
|7 out of 4L 3m 3s
| 7 out of 4L&nbsp;3m&nbsp;3s
|250
| 250
|500
| 500
|550
| 550
|800
| 800
|850
| 850
|1150
| 1150
|-
|-
|25edo
| 25edo
|7:4:2
| 7:4:2<br />7:5:1
7:5:1
| 13/11
|13/11
|  
|
| 192<br />240
|192
| 384<br />480
240
| 480<br />528
|384
| 672<br />768
480
| 864<br />816
|480
| 1004<br />1148
528
|672
768
|864
816
|1004
1148
|-
|-
|26edo
| 26edo
|8:5:1
| 8:5:1
|8/7
| 8/7
|
|  
|230.769
| 230.769
|461.5385
| 461.5385
|507.692
| 507.692
|738.4615
| 738.4615
|784.615
| 784.615
|1153.846
| 1153.846
|-
|-
|27edo
| 27edo
|6:4:3
| 6:4:3<br />6:5:2
6:5:2
| 27/25 and 7/6
|27/25 and 7/6
|  
|
| 177.778<br />222.222
|177.778
| 355.556<br />444.444
222.222
| 488.889<br />533.333
|355.556
| 666.667<br />755.556
444.444
| 800<br />844.444
|488.889
| 1066.667<br />1111.111
533.333
|666.667
755.556
|800
844.444
|1066.667
1111.111
|-
|-
|28edo
| 28edo
|7:4:3
| 7:4:3<br />7:5:2<br />7:6:1
7:5:2
| 14/13<br />5/4
 
|  
7:6:1
| 171.429<br />214.286<br />257.143
|14/13
| 342.857<br />428.571<br />514.286
5/4
| 471.429<br />514.286<br />557.143
|
| 642.857<br />728.571<br />814.286
|171.429
| 771.429<br />814.286<br />857.143
214.286
| 1071.429<br />1111.286<br />1157.143
 
257.143
|342.857
428.571
 
514.286
|471.429
514.286
 
557.143
|642.857
728.571
 
814.286
|771.429
814.286
 
857.143
|1071.429
1111.286
 
1157.143
|-
|-
|29edo
| 29edo
|8:4:3
| 8:4:3<br />8:5:2<br />8:6:1
8:5:2
| (11/10 and) 13/11
 
| Gentle fifth
8:6:1
| 165.517<br />206.897<br />248.276
|(11/10 and) 13/11
| 331.0345<br />413.793<br />496.552
|Gentle fifth
| 455.172<br />496.552<br />537.931
|165.517
| 620.69<br />703.448<br />786.207
206.897
| 744.828<br />786.207<br />827.586
 
| 1075.862<br />1117.241<br />1158.621
248.276
|331.0345
413.793
 
496.552
|455.172
496.552
 
537.931
|620.69
703.448
 
786.207
|744.828
786.207
 
827.586
|1075.862
1117.241
 
1158.621
|-
|-
|30edo
| 30edo
|6:5:3
| 6:5:3
|13/8 and 15/14
| 13/8 and 15/14
|
|  
|200
| 200<br />280
280
| 400<br />560
|400
| 520<br />600
560
| 720<br />880
|520
| 840<br />920
600
| 1080<br />1160
|720
880
|840
920
|1080
1160
|-
|-
|31edo
| 31edo
|7:5:3
| 7:5:3<br />7:6:2
7:6:2
| 5/4
|5/4
|  
|
| 193.548<br />232.258
|193.548
| 387.097<br />464.516
232.258
| 503.226<br />541.9355
|387.097
| 696.774<br />774.194
464.516
| 812.903<br />851.613
|503.226
| 1083.871<br />1122.582
541.9355
|696.774
774.194
|812.903
851.613
|1083.871
1122.582
|-
|-
|32edo
| 32edo
|8:5:3
| 8:5:3<br />8:7:1
8:7:1
| 16/15
|16/15
| Golden<br />7 out of 5L&nbsp;5m&nbsp;2s
|Golden
| 162.5<br />262.5
7 out of 5L 5m 2s
| 325<br />525
|162.5
| 412.5<br />562.5
262.5
| 675<br />825
|325
| 787.5<br />862.5
525
| 1087.5<br />1162.5
|412.5
562.5
|675
825
|787.5
862.5
|1087.5
1162.5
|-
|-
|33edo
| 33edo
|6:5:4
| 6:5:4
|
|  
|
|  
|181.818
| 181.818
|363.636
| 363.636
|509.091
| 509.091
|690.909
| 690.909
|836.364
| 836.364
|1054.5455
| 1054.5455
|-
|-
|34edo
| 34edo
|7:5:4
| 7:5:4<br />7:6:3
7:6:3
|  
|
|  
|
| 176.471<br />211.765
|176.471
| 352.941<br />423.529
211.765
| 494.118<br />529.412
|352.941
| 670.588<br />741.1765
423.529
| 811.765
|494.118
| 1058.8235<br />1094.118
529.412
|670.588
741.1765
|811.765
|1058.8235
1094.118
|-
|-
|35edo
| 35edo
|8:5:4
| 8:5:4<br />8:6:3<br />8:7:2
 
|  
8:6:3
|  
 
| 171.429<br />205.714<br />240
8:7:2
| 342.857<br />411.429<br />480
|
| 480<br />514.286<br />548.571
|
| 651.429<br />720<br />788.571
|171.429
| 788.571<br />822.857<br />857.143
205.714
| 1062.857<br />1097.143<br />1131.429
 
240
|342.857
411.429
 
480
|480
514.286
 
548.571
|651.429
720
 
788.571
|788.571
822.857
 
857.143
|1062.857
1097.143
 
1131.429
|-
|-
|37edo
| 37edo
|7:6:4
| 7:6:4
|
|  
|
|  
|194.595
| 194.595
|389.189
| 389.189
|518.919
| 518.919
|713.5135
| 713.5135
|843.243
| 843.243
|1070.27
| 1070.27
|-
|-
|38edo
| 38edo
|8:7:3
| 8:7:3
|6/5
| 6/5
|
|  
|221.053
| 221.053
|442.106
| 442.106
|536.842
| 536.842
|757.895
| 757.895
|852.632
| 852.632
|1105.263
| 1105.263
|-
|-
|40edo
| 40edo
|7:6:5
| 7:6:5
|13/8
| 13/8
|
|  
|180
| 180
|360
| 360
|510
| 510
|690
| 690
|840
| 840
|1050
| 1050
|-
|-
|41edo
| 41edo
|8:6:5
| 8:6:5<br />8:7:4
8:7:4
| 4/3<br />9/8
|4/3
|  
9/8
| 175.61<br />204.878
|
| 351.22<br />409.756
|175.61
| 497.561<br />526.829
204.878
| 673.171<br />731.707
|351.22
| 819.512<br />848.7805
409.756
| 1053.6585<br />1082.927
|497.561
526.829
|673.171
731.707
|819.512
848.7805
|1053.6585
1082.927
|-
|-
|44edo
| 44edo
|8:7:5
| 8:7:5
|
|  
|
|  
|190.909
| 190.909
|381.818
| 381.818
|518.182
| 518.182
|709.091
| 709.091
|845.4545
| 845.4545
|1063.636
| 1063.636
|-
|-
|47edo
| 47edo
|8:7:6
| 8:7:6
|
|  
|
|  
|178.723
| 178.723
|357.446
| 357.446
|510.638
| 510.638
|689.372
| 689.372
|842.553
| 842.553
|1046.8085
| 1046.8085
|}
|}


== sLLLLLs ==
== sLLLLLs ==
The '''sLLLLLs''' MODMOS is referred to here as the '''Greater Neapolitan Scale'''.  While it is perhaps better known as "'''Neapolitan major'''", this terminology can be considered confusing on account of the scale's third degree technically being a minor third.  The 3-limit version of this MODMOS differs from the 3-limit Melodic Scale by means of having [[256/243]] as a minor second.  Because of it being at least somewhat well known, this MODMOS has multiple MODmuddles derived from it.
The '''sLLLLLs''' MODMOS is referred to here as the '''Greater Neapolitan Scale'''.  While it is perhaps better known as "'''Neapolitan major'''", this terminology can be considered confusing on account of the scale's third degree technically being a minor third.  The 3-limit version of this MODMOS differs from the 3-limit Melodic Scale by means of having [[256/243]] as a minor second.  Because of it being at least somewhat well known, this MODMOS has multiple MODmuddles derived from it.
{{MOS mode degrees|MODMOS Step Pattern=sLLLLLs}}
[[Category:Diatonic]]
[[Category:Diatonic]]
[[Category:MODMOS]]
[[Category:MODMOS]]
[[Category:Table]]
[[Category:Tables]]
Retrieved from "https://en.xen.wiki/w/5L_2s/MODMOSes"