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

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| Collapsed = 1
| Collapsed = 1
| Pattern = LLLLsLLLLsLLLLs
| Pattern = LLLLsLLLLsLLLLs
|Equave=21/10}}
|Equave=23/11}}


{| class="wikitable"
{| class="wikitable"

Revision as of 20:56, 15 May 2023

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].

↖ 11L 2s⟨21/10⟩ ↑ 12L 2s⟨21/10⟩ 13L 2s⟨21/10⟩ ↗
← 11L 3s⟨21/10⟩ 12L 3s (21/10-equivalent) 13L 3s⟨21/10⟩ →
↙ 11L 4s⟨21/10⟩ ↓ 12L 4s⟨21/10⟩ 13L 4s⟨21/10⟩ ↘ 
┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐
│║║║║│║║║║│║║║║││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLLsLLLLs
sLLLLsLLLLsLLLL
Equave 21/10 (1284.5 ¢)
Period 1\3 (428.2 ¢)
Generator size(ed21/10)
Bright 1\15 to 1\12 (85.6 ¢ to 107.0 ¢)
Dark 3\12 to 4\15 (321.1 ¢ to 342.5 ¢)
Related MOS scales
Parent 3L 9s⟨21/10⟩
Sister 3L 12s⟨21/10⟩
Daughters 15L 12s⟨21/10⟩, 12L 15s⟨21/10⟩
Neutralized 9L 6s⟨21/10⟩
2-Flought 27L 3s⟨21/10⟩, 12L 18s⟨21/10⟩
Equal tunings(ed21/10)
Equalized (L:s = 1:1) 1\15 (85.6 ¢)
Supersoft (L:s = 4:3) 4\57 (90.1 ¢)
Soft (L:s = 3:2) 3\42 (91.7 ¢)
Semisoft (L:s = 5:3) 5\69 (93.1 ¢)
Basic (L:s = 2:1) 2\27 (95.1 ¢)
Semihard (L:s = 5:2) 5\66 (97.3 ¢)
Hard (L:s = 3:1) 3\39 (98.8 ¢)
Superhard (L:s = 4:1) 4\51 (100.7 ¢)
Collapsed (L:s = 1:0) 1\12 (107.0 ¢)
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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