12L 3s (21/10-equivalent): Difference between revisions

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Created page with "This is an Augene MOS which is generated by a neutral semitone (1/15edo to 1/12ed15\14, 80 to 107.143 cents). Having three periods of 4L 1s, it may be more specifically referr..."
 
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{| class="wikitable"
{| class="wikitable"
! colspan="7" |Generator
! colspan="8" |Generator
!Cents
!Cents
! colspan="2" |Normalized Cents
! colspan="2" |Normalized Cents
! colspan="3" |ed27\26
! colspan="3" |ed27\26
|-
|-
! colspan="7" |
! colspan="8" |
!
!
!Generator
!Generator
Line 14: Line 14:
!''True''
!''True''
|-
|-
! colspan="7" |
! colspan="8" |
!
!
!
!
Line 29: Line 29:
| |
| |
| |
| |
|
| |80
| |80
|85.714
|85.714
Line 43: Line 44:
|
|
|7\102
|7\102
|
|82.353
|82.353
|87.5
|87.5
Line 56: Line 58:
|
|
|6\87
|6\87
|
|
|
|82.759
|82.759
Line 71: Line 74:
|
|
|11/159
|11/159
|
|83.019
|83.019
|88
|88
Line 85: Line 89:
| |
| |
| |
| |
|
| |83.333
| |83.333
|88.235
|88.235
Line 98: Line 103:
|
|
|9/129
|9/129
|
|
|
|83.721
|83.721
Line 113: Line 119:
|
|
|13/186
|13/186
|
|83.871
|83.871
|88.636
|88.636
Line 127: Line 134:
| |
| |
| |
| |
|
| |84.2105
| |84.2105
|88.889
|88.889
Line 140: Line 148:
|
|
|11/156
|11/156
|
|
|
|84.615
|84.615
Line 155: Line 164:
| |
| |
| |
| |
|
| |84.8485
| |84.8485
|89.362
|89.362
Line 161: Line 171:
|912.766
|912.766
|''190.909''
|''190.909''
|-
|
|
|
|
|
|10/141
|
|
|85.106
|89.552
|420.8955
|194.03
|911.84
|''191.489''
|-
|-
| |
| |
Line 169: Line 194:
| |
| |
| |
| |
|
| |85.714
| |85.714
|90
|90
Line 175: Line 201:
|910
|910
|''192.857''
|''192.857''
|-
|
|
|
|
|
|
|14/195
|
|86.154
|90.323
|419.355
|195.698
|908.602
|''193.418''
|-
|-
| |
| |
Line 183: Line 224:
| |
| |
| |
| |
|
| |86.27
| |86.27
|90.4075
|419.185
|195.883
|908.234
|''194.107''
|-
|
|
|
|
Line 189: Line 237:
|
|
|
|
|11/153
|
|
|86.2745
|90.411
|419.178
|195.89
|908.219
|''194.118''
|-
|-
| |
| |
Line 197: Line 254:
| |
| |
| |
| |
|
| |86.4865
| |86.4865
|
|90.566
|
|418.868
|
|196.226
|
|907.547
|
|''194.595''
|-
|-
| |
| |
Line 211: Line 269:
| |
| |
| |
| |
|
| |86.617
| |86.617
|
|90.661
|
|418.677
|
|196.433
|
|907.134
|
|''194.888''
|-
|-
| |
| |
Line 225: Line 284:
| |
| |
| |
| |
|
| |86.9565
| |86.9565
|90.909
|418.182
|197.273
|906.061
|''195.652''
|-
|
|
|
|
|
|
|
|
|12/165
|
|
|
|
|87.273
|91.139
|417.7215
|197.468
|905.063
|''196.364''
|-
|-
| |
| |
Line 239: Line 314:
| |
| |
| |
| |
|
| |87.5
| |87.5
|91.304
|417.391
|197.826
|904.348
|''196.875''
|-
|
|
|
|
Line 245: Line 327:
|
|
|
|
|9/123
|
|
|87.805
|91.525
|416.949
|198.305
|903.39
|''197.561''
|-
|
|
|
|
|
|
|11/150
|
|88
|91.833
|416.667
|198.972
|902.778
|''198''
|-
|-
| |
| |
Line 253: Line 359:
| |
| |
| |
| |
|
| |88.889
| |88.889
|
|92.308
|
|415.385
|
|200
|
|900
|
|''200''
|-
|-
| |
| |
Line 267: Line 374:
| |
| |
| |11/147
| |11/147
|
| |89.796
| |89.796
|
|92.958
|
|414.0845
|
|201.4085
|
|897.183
|
|''202.041''
|-
|-
| |
| |
Line 281: Line 389:
| |9/120
| |9/120
| |
| |
|
| |90
| |90
|
|93.103
|
|413.793
|
|201.724
|
|896.552
|
|''202.5''
|-
|-
| |
| |
Line 295: Line 404:
| |
| |
| |
| |
|
| |90.323
| |90.323
|93.333
|413.333
|202.222
|895.556
|''203.226''
|-
|
|
|
|
Line 301: Line 417:
|
|
|
|
|12/159
|
|
|90.566
|93.5065
|412.987
|202.597
|894.805
|''203.774''
|-
|-
| |
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Line 309: Line 434:
| |
| |
| |
| |
|
| |90.909
| |90.909
|
|93.75
|
|412.5
|
|203.125
|
|893.75
|
|''204.5455''
|-
|-
| |
| |
Line 323: Line 449:
| |
| |
| |
| |
|
| |91.283
| |91.283
|
|94.015
|
|411.97
|
|203.7
|
|892.602
|
|''205.387''
|-
|-
| |
| |
Line 337: Line 464:
| |
| |
| |
| |
|
| |91.429
| |91.429
|
|94.118
|
|411.765
|
|203.921
|
|892.157
|
|''205.714''
|-
|-
| |
| |
Line 351: Line 479:
| |
| |
| |
| |
|
| |91.578
| |91.578
|94.223
|411.554
|204.1495
|891.701
|''206.05''
|-
|
|
|
|
|
|11/144
|
|
|91.667
|94.286
|411.429
|204.286
|891.429
|''206.25''
|-
|
|
|
|
Line 357: Line 507:
|
|
|
|
|
|14/183
|
|91.803
|94.382
|411.235
|204.494
|891.011
|''206.557''
|-
|-
| |
| |
Line 365: Line 524:
| |
| |
| |
| |
|
| |92.308
| |92.308
|
|94.737
|
|410.526
|
|205.263
|
|889.474
|
|''207.692''
|-
|-
| |
| |
Line 379: Line 539:
| |
| |
| |
| |
|
| |92.629
| |92.629
|94.962
|410.076
|205.751
|888.4975
|''208.415''
|-
|
|
|
|
|
|
|
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|10/129
|
|
|
|
|93.023
|95.238
|409.524
|206.349
|887.302
|''209.302''
|-
|-
| |
| |
Line 393: Line 569:
| |
| |
| |
| |
|
| |93.333
| |93.333
|95.4545
|409.091
|206.818
|886.364
|''210''
|-
|
|
|
|
|
|
|
|
|11/141
|
|
|
|
|93.617
|95.652
|408.696
|207.246
|885.507
|''210.638''
|-
|-
| |
| |
Line 407: Line 599:
| |
| |
| |
| |
|
| |94.118
| |94.118
|96
|408
|208
|884
|''211.765''
|-
|
|
|
|
|
|
|13/165
|
|94.5455
|96.296
|407.407
|208.642
|882.716
|''212.727''
|-
|
|
|
|
|
|9/114
|
|
|94.737
|96.429
|407.143
|208.929
|882.143
|''213.158''
|-
|
|
|
|
|
|
|
|
|
|
|14/177
|
|
|94.915
|96.552
|406.897
|209.195
|881.609
|''213.559''
|-
|-
| |
| |
Line 421: Line 659:
| |
| |
| |
| |
|
| |95.238
| |95.238
|96.774
|406.452
|209.677
|880.645
|''214.286''
|-
|
|
|
|
|
Line 427: Line 673:
|
|
|
|
|11/138
|
|95.652
|97.059
|405.882
|210.294
|879.412
|''215.217''
|-
|-
|
|
Line 434: Line 688:
|
|
|6/75
|6/75
|
|
|
|96
|96
|97.297
|405.405
|210.811
|878.378
|''216''
|-
|
|
|
|
Line 441: Line 702:
|
|
|
|
|
|
|13/162
|96.296
|97.5
|405
|211.25
|877.5
|''216.667''
|-
|-
|
|
Line 449: Line 719:
|
|
|7/87
|7/87
|
|96.552
|96.552
|
|97.674
|
|404.651
|
|211.628
|
|876.744
|
|''217.241''
|-
|-
| |1/12
| |1/12
Line 463: Line 734:
| |
| |
| |
| |
|
| |100
| |100
|
|100
|
|400
|
|216.667
|
|866.667
|
|''225''
|}
|}

Revision as of 02:01, 8 April 2022

This is an Augene MOS which is generated by a neutral semitone (1/15edo to 1/12ed15\14, 80 to 107.143 cents). Having three periods of 4L 1s, it may be more specifically referred to as the Ternary mode of Augene[15].

Generator Cents Normalized Cents ed27\26
Generator Period Normalized True
Generator Period
1/15 80 85.714 428.571 185.714 928.571 180
7\102 82.353 87.5 425 189.583 920.833 185.294
6\87 82.759 87.805 424.39 190.244 919.512 186.207
11/159 83.019 88 424 190.667 918.667 186.7925
5/72 83.333 88.235 423.529 191.1765 917.647 187.5
9/129 83.721 88.525 422.951 191.803 916.393 188.372
13/186 83.871 88.636 422.727 192.0455 915.909 188.71
4/57 84.2105 88.889 422.222 192.593 914.815 189.474
11/156 84.615 89.189 421.621 193.243 913.5135 190.385
7/99 84.8485 89.362 421.277 193.617 912.766 190.909
10/141 85.106 89.552 420.8955 194.03 911.84 191.489
3/42 85.714 90 420 195 910 192.857
14/195 86.154 90.323 419.355 195.698 908.602 193.418
86.27 90.4075 419.185 195.883 908.234 194.107
11/153 86.2745 90.411 419.178 195.89 908.219 194.118
8/111 86.4865 90.566 418.868 196.226 907.547 194.595
86.617 90.661 418.677 196.433 907.134 194.888
5/69 86.9565 90.909 418.182 197.273 906.061 195.652
12/165 87.273 91.139 417.7215 197.468 905.063 196.364
7/96 87.5 91.304 417.391 197.826 904.348 196.875
9/123 87.805 91.525 416.949 198.305 903.39 197.561
11/150 88 91.833 416.667 198.972 902.778 198
2/27 88.889 92.308 415.385 200 900 200
11/147 89.796 92.958 414.0845 201.4085 897.183 202.041
9/120 90 93.103 413.793 201.724 896.552 202.5
7/93 90.323 93.333 413.333 202.222 895.556 203.226
12/159 90.566 93.5065 412.987 202.597 894.805 203.774
5/66 90.909 93.75 412.5 203.125 893.75 204.5455
91.283 94.015 411.97 203.7 892.602 205.387
8/105 91.429 94.118 411.765 203.921 892.157 205.714
91.578 94.223 411.554 204.1495 891.701 206.05
11/144 91.667 94.286 411.429 204.286 891.429 206.25
14/183 91.803 94.382 411.235 204.494 891.011 206.557
3/39 92.308 94.737 410.526 205.263 889.474 207.692
92.629 94.962 410.076 205.751 888.4975 208.415
10/129 93.023 95.238 409.524 206.349 887.302 209.302
7/90 93.333 95.4545 409.091 206.818 886.364 210
11/141 93.617 95.652 408.696 207.246 885.507 210.638
4/51 94.118 96 408 208 884 211.765
13/165 94.5455 96.296 407.407 208.642 882.716 212.727
9/114 94.737 96.429 407.143 208.929 882.143 213.158
14/177 94.915 96.552 406.897 209.195 881.609 213.559
5/63 95.238 96.774 406.452 209.677 880.645 214.286
11/138 95.652 97.059 405.882 210.294 879.412 215.217
6/75 96 97.297 405.405 210.811 878.378 216
13/162 96.296 97.5 405 211.25 877.5 216.667
7/87 96.552 97.674 404.651 211.628 876.744 217.241
1/12 100 100 400 216.667 866.667 225
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