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7L 6s: Difference between revisions

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For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.
Enipucrop range. See also [[7L 6s 7L 13s and 13L 7s]].


{| class="wikitable"
{| class="wikitable"
! colspan=7 | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
|-
! colspan="3" | Generator
| | 1\7
! | cents
| |
! colspan="2" | Syntonic comma
| |
! | cents
| |
! colspan="3" | <span style="font-size: 12.8000001907349px;">Generator</span>
| |
| |
| |
| | 1
| | 0
| |
| | 171.429
| |
|-
|-
| | 1/7
| |
| |  
| |
| |  
| |
| | 171 3/7
| |
| colspan="2" style="text-align:center;" | 0
| |
| | 184 8/13
| | 7\48
| |  
| |
| |  
| | 6
| | 2/13
| | 1
| | 6.000
| | 175.000
| |
|-
|-
| | 6/41
| |
| |  
| |
| |  
| |
| | 175 25/41
| |
| | 29 11/41
| | 6\41
| | 20 20/59
| |
| | 183 3/59
| |
| |  
| | 5
| |  
| | 1
| | 9/59
| | 5.000
| | 175.610
| | Sesquiquartififths, Monkey, Bunya
|-
|-
| |  
| |
| | 23/157
| |
| |  
| |
| | 175.796
| |
| | 30.573
| |
| | 21.525
| | 11\75
| | 182.96
| |
| |  
| | 9
| | 34/223
| | 2
| |  
| | 4.500
| | 176.000
| | Tetracot
|-
|-
| |  
| |
| | 17/116
| |
| |  
| |
| | 175 25/29
| | 5\34
| | 31 1/29
| |
| | 21 39/41
| |
| | 182 38/41
| |
| |  
| | 4
| | 25/164
| | 1
| |  
| | 4.000
| | 176.471
| |
|-
|-
| |  
| |
| | 11/75
| |
| |  
| |
| | 176
| |
| | 32
| |
| | 22 6/7
| | 14\95
| | 182 6/7
| |
| |  
| | 11
| | 16/105
| | 3
| |  
| | 3.667
| | 176.842
| |
|-
|-
| |  
| |
| | 16/109
| |
| |  
| |
| | 176.147
| |
| | 33.0275
| | 9\61
| | 23.841
| |
| | 182.7815
| |
| |  
| | 7
| | 23/151
| | 2
| |  
| | 3.500
| | 177.049
| | Modus
|-
|-
| |  
| |
| | 21/143
| |
| |  
| |
| | 176.224
| |
| | 33.5665
| |
| | 24.3655
| | 13\88
| | 182.721
| |
| |  
| | 10
| | 30/197
| | 3
| |  
| | 3.333
| | 177.273
| | Wollemia, Ponens
|-
|-
| |  
| |
| | 26/177
| |
| |  
| | 4\27
| | 176 16/59
| |
| | 33 53/59
| |
| | 24 56/81
| |
| | 182 20/27
| |
| |  
| | 3
| | 37/243
| | 1
| |  
| | 3.000
| | 177.778
| |
|-
|-
| |  
| |
| | 31/211
| |
| |  
| |
| | 176.303
| |
| | 34.171
| |
| | 24.9135
| | 15\101
| | 182.72
| |
| |  
| | 11
| | 44/289
| | 4
| |
| | 2.750
|-
| | 178.218
| |
| |
| | 36/245
| |
| | 176 16/49
| | 34 2/7
| | 25 5/67
| | 182 46/67
| |
| | 51/335
| |
|-
| | 5/34
| |
| |
| | 176 8/17
| | 35 5/17
| | 26 1/23
| | 182 14/23
| |
| |
| | 7/46
|-
| |
| | 24/163
| |
| | 176.687
| | 36.872
| | 27.843
| | 182.4885
| |
| | 33/217
| |
|-
| |
| | 19/129
| |
| | 176 32/43
| | 37 9/43
| | 28 4/57
| | 182 26/57
| |
| | 26/171
| |
|-
| |
| | 14/95
| |
| | 176 16/19
| | 37 17/19
| | 28.8
| | 182.4
| |
| | 19/125
| |
|-
| |
| |
| | 23/156
| | 176 12/13
| | 38 6/13
| | 29 7/17
| | 182 6/17
| | 31/204
| |
| |
|-
| |
| | 9/61
| |
| | 177 3/61
| | 39 21/61
| | 30 30/79
| | 182 22/79
| |
| | 12/79
| |
|-
| |
| |
| | 22/149
| | 177.181
| | 40.2685
| | 31.414
| | 182.199
| | 29/191
| |
| |
|-
| |
| | 13/88
| |
| | 177 3/11
| | 40 10/11
| | 32 1/7
| | 182 1/7
| |
| | 17/112
| |
|-
| |
| | 17/115
| |  
| | 177 9/23
| | 41 17/23
| | 33 3/29
| | 182 2/29
| |
| | 22/145
| |
|-
| |
| | 21/142
| |
| | 177 33/71
| | 42 18/71
| | 33 63/89
| | 182 2/89
| |
| | 27/178
| |
|-
| |
| | 25/169
| |
| | 177.515
| | 42.604
| | 33.825
| | 181.9905
| |
| | 32/211
| |
|-
| |
| | 29/196
| |
| | 177 27/49
| | 42 6/7
| | 34 26/61
| | 181 59/61
| |
| | 37/244
| |
|-
| |
| |
| |
| | 177.553
| | 42.871
| | 34.542
| | 181.958
| |
| |
| |
|-
| |
| | 33/223
| |
| | 177.5785
| | 43.049
| | 34.657
| | 181.9495
| |
| | 42/277
| |  
|-
|-
| |  
| |
| | 37/250
| |
| |  
| |
| | 177.6
| |
| | 43.2
| | 11\74
| | 34 26/31
| |
| | 181 29/31
| |
| |  
| | 8
| | 47/310
| | 3
| |  
| | 2.667
| | 178.378
| |
|-
|-
| |  
| |
| | 41/277
| |
| |  
| |
| | 177.617
| | 7\47
| | 43.321
| |
| | 34.985
| |
| | 181.924
| |
| |  
| | 5
| | 52/343
| | 2
| |  
| | 2.500
| | 178.723
| |
|-
|-
| |  
| |
| | 45/304
| |
| |  
| |
| | 177 12/19
| |
| | 43 8/19
| |
| | 35 5/47
| | 17\114
| | 181 43/47
| |
| |  
| | 12
| | 57/376
| | 5
| |  
| | 2.400
| | 178.947
| |
|-
|-
| | 4/27
| |
| |  
| |
| |  
| |
| | 177 7/9
| |
| | 44 4/9
| | 10\67
| | 36 4/11
| |
| | 181 9/11
| |
| |  
| | 7
| |  
| | 3
| | 5/33
| | 2.333
| | 179.104
| |
|-
|-
| |  
| |
| | 39/263
| |
| |  
| |
| | 177.947
| |
| | 45.585
| |
| | 37.539
| | 13\87
| | 181.7035
| |
| |  
| | 9
| | 48/317
| | 4
| |  
| | 2.250
| | 179.310
| |
|-
|-
| |  
| |
| | 35/236
| | 3\20
| |  
| |
| | 177 57/59
| |
| | 45 45/59
| |
| | 38 2/71
| |
| | 181 49/71
| |
| |  
| | 2
| | 43/284
| | 1
| |  
| | 2.000
| | 180.000
| |
|-
|-
| |  
| |
| | 31/209
| |
| |  
| |
| | 177.99
| |
| | 45.933
| |
| | 38.247
| | 14\93
| | 181.673
| |
| |  
| | 9
| | 38/251
| | 5
| |  
| | 1.800
| | 180.645
| |
|-
|-
| |  
| |
| | 27/182
| |
| |  
| |
| | 178 2/91
| |
| | 46 2/13
| | 11\73
| | 38.514
| |
| | 181.651
| |
| |  
| | 7
| | 33/218
| | 4
| |  
| | 1.750
| | 180.822
| |
|-
|-
| |  
| |
| | 23/155
| |
| |  
| |
| | 178 2/31
| | 8\53
| | 46 14/31
| |
| | 38 34/37
| |
| | 181 23/37
| |
| |  
| | 5
| | 28/185
| | 3
| |  
| | 1.667
| | 181.132
| |
|-
|-
| |  
| |
| | 19/128
| |
| |  
| |
| | 178.125
| |
| | 46.875
| | 13\86
| | 39 9/19
| |
| | 181 11/19
| |
| |  
| | 8
| | 23/152
| | 5
| |  
| | 1.600
| | 181.395
| |
|-
|-
| |  
| |
| | 15/101
| |
| |  
| |
| | 178.218
| |
| | 47.525
| |
| | 40.336
| | 18\119
| |
| | 11
| | 7
| | 1.571
| | 181.513
| | 181.513
| |
| |
| | 18/119
| |
|-
| |
| |
| |
| | 178.278
| | 47.946
| | 41.099
| | 181.453
| |
| |
| |
|-
| |
| | 11/74
| |
| | 178 14/37
| | 48 24/37
| | 41 37/43
| | 181 17/43
| |
| | 13/86
| |
|-
| |
| |
| | 29/195
| | 178 6/13
| | 49 3/13
| | 42 2/3
| | 181 1/3
| | 34/225
| |
| |
|-
| |
| | 18/121
| |
| | 178.512
| | 49.587
| | 43.1655
| | 181.295
| |
| | 21/139
| |
|-
| |
| | 25/168
| |
| | 178 4/7
| | 50
| | 43.75
| | 181.25
| |
| | 29/192
| |  
|-
|-
| |  
| |
| | 32/215
| |
| |  
| | 5\33
| | 178.605
| |
| | 50.233
| |
| | 44 4/49
| |
| | 181 11/49
| |
| |  
| | 3
| | 37/245
| | 2
| |  
| | 1.500
| | 181.818
| |
|-
|-
| | 7/47
| |
| |  
| |
| |  
| |
| | 178 34/47
| |
| | 51 3/47
| |
| | 45 15/53
| | 17\112
| | 181 7/53
| |
| |  
| | 10
| |  
| | 7
| | 8/53
| | 1.429
| | 182.143
| |
|-
|-
| |  
| |
| | 24/161
| |
| |  
| |
| | 178.882
| |
| | 52.174
| | 12\79
| | 46.927
| |
| | 181.006
| |
| |  
| | 7
| | 27/179
| | 5
| |  
| | 1.400
| | 182.278
| |
|-
|-
| |  
| |
| | 17/114
| |
| |  
| |
| | 178 18/19
| | 7\46
| | 52 12/19
| |
| | 47 13/21
| |
| | 180 20/21
| |
| |  
| | 4
| | 19/126
| | 3
| |  
| | 1.333
| | 182.609
| | Mitonic
|-
|-
| |  
| |
| | 27/181
| |
| |  
| |
| | 179 1/181
| |
| | 53 7/181
| |
| | 48.241
| | 16\105
| | 180.814
| |
| |  
| | 9
| | 30/199
| | 7
| |  
| | 1.286
| | 182.857
| |
|-
|-
| | 10/67
| |
| |  
| |
| |  
| |
| | 179 7/67
| |
| | 53 49/67
| | 9\59
| | 49 23/73
| |
| | 180 42/73
| |
| |  
| | 5
| |  
| | 4
| | 11/73
| | 1.250
| | 183.051
| |
|-
|-
| |  
| |
| | 23/154
| |
| |  
| |
| | 179 17/77
| |
| | 54 6/11
| |
| | 50 50/83
| | 11\72
| | 180 42/83
| |
| |  
| | 6
| | 25/166
| | 5
| |  
| | 1.200
| | 183.333
| |
|-
|-
| | 13/87
| | 2\13
| |
| |
| |  
| |
| | 179 9/29
| |
| | 55 5/29
| |
| | 51 19/31
| |
| | 180 14/31
| |
| |  
| | 1
| |  
| | 1
| | 14/93
| | 1.000
|-
| | 184.615
| | 3/20
| |
| |
| |
| | 180
| colspan="2" style="text-align:center;" | 60
| | 180
| |  
| |  
| | 3/20
|}
|}
[[category:todo:intro]]
Retrieved from "https://en.xen.wiki/w/7L_6s"