12L 1s: Difference between revisions
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+Infobox, name still missing, misc. edits |
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{{Infobox MOS | |||
| Name = | |||
| Periods = 1 | |||
| nLargeSteps = 12 | |||
| nSmallSteps = 1 | |||
| Equalized = 1 | |||
| Paucitonic = 1 | |||
| Pattern = LLLLLLLLLLLLs | |||
}} | |||
The '''12L 1s''' [[MOS scale]], the grumpy tridecatonic, apparently belongs to no particularly important temperament. However, it becomes a compressed 12ed scale when you ignore the octave (this obviously does not work when the generator is very near 12edo (within -7/24¢ of it), for the 13th degree of the scale registers as identical to the octave for human listeners, and it becomes indistinct from 13edo or the Happy dodecatonic ([[1L 11s]]) in the 1.75¢ above 1/13edo because the large and small steps register as identical to one another for human listeners). | |||
== Scale tree == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Revision as of 03:32, 5 August 2022
| ← 11L 1s | 12L 1s | 13L 1s → |
| ↙ 11L 2s | ↓ 12L 2s | 13L 2s ↘ |
Scale structure
sLLLLLLLLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
The 12L 1s MOS scale, the grumpy tridecatonic, apparently belongs to no particularly important temperament. However, it becomes a compressed 12ed scale when you ignore the octave (this obviously does not work when the generator is very near 12edo (within -7/24¢ of it), for the 13th degree of the scale registers as identical to the octave for human listeners, and it becomes indistinct from 13edo or the Happy dodecatonic (1L 11s) in the 1.75¢ above 1/13edo because the large and small steps register as identical to one another for human listeners).
Scale tree
| Generator | Cents | 12g | ||
|---|---|---|---|---|
| 1/13 | 92.308 | 1107.692 | ||
| 5/64 | 93.75 | 1125 | ||
| 9/115 | 93.913 | 1126.9565 | ||
| 13/166 | 93.976 | 1127.711 | ||
| 17/217 | 94.009 | 1128.111 | ||
| 4/51 | 94.118 | 1129.412 | ||
| 15/191 | 94.241 | 1130.89 | ||
| 11/140 | 94.296 | 1131 3/7 | ||
| 7/89 | 94.382 | 1132.584 | ||
| 10/127 | 94.448 | 1133.858 | ||
| 13/165 | 94.5455 | 1134.5455 | ||
| 16/203 | 94.581 | 1134.975 | ||
| 19/241 | 94.606 | 1135.27 | ||
| 3/38 | 94.737 | 1136.842 | ||
| 26/329 | 94.8875 | 1137.6505 | ||
| 23/291 | 94.845 | 1138.1443 | ||
| 20/253 | 94.862 | 1138.34 | ||
| 17/215 | 94.884 | 1138.605 | ||
| 14/177 | 94.915 | 1138.983 | ||
| 94.962 | 1139.545 | |||
| 11/139 | 94.964 | 1139.568 | ||
| 8/101 | 95.0495 | 1140.594 | ||
| 95.102 | 1141.224 | |||
| 13/164 | 95.122 | 1141.463 | ||
| 5/63 | 95.238 | 1142.714 | ||
| 17/214 | 95.374 | 1143.486 | ||
| 12/151 | 95.362 | 1144.371 | ||
| 95.41 | 1144.915 | |||
| 7/88 | 95,4545 | 1145.4545 | ||
| 9/113 | 95.575 | 1146.903 | ||
| 11/138 | 95.652 | 1147.826 | ||
| 13/163 | 95.7055 | 1148.466 | ||
| 15/188 | 95.745 | 1148.936 | ||
| 17/213 | 95.775 | 1149.296 | ||
| 19/238 | 95.798 | 1149.58 | ||
| 21/263 | 95.8175 | 1149.81 | ||
| 23/288 | 95.833 | 1150 | ||
| 25/313 | 95.847 | 1150.16 | ||
| 27/338 | 95.858 | 1150.296 | ||
| 29/363 | 95.868 | 1150.467 | ||
| 31/388 | 95.876 | 1150.5155 | ||
| 33/413 | 95.884 | 1150.605 | ||
| 35/438 | 95.89 | 1150.685 | ||
| 37/463 | 95.896 | 1150.75 | ||
| 39/488 | 95.902 | 1150.82 | ||
| 41/513 | 95.906 | 1150.877 | ||
| 43/538 | 95.911 | 1150.929 | ||
| 45/563 | 95.915 | 1150.977 | ||
| 47/588 | 95.918 | 1151.02 | ||
| 2/25 | 96 | 1152 | ||
| 25/312 | 96.154 | 1153.846 | ||
| 23/287 | 96.167 | 1154.007 | ||
| 21/262 | 96.183 | 1154.1985 | ||
| 19/237 | 96.2025 | 1154,43 | ||
| 17/212 | 96.226 | 1154.717 | ||
| 15/187 | 96.257 | 1155.08 | ||
| 13/162 | 96.296 | 1155.556 | ||
| 11/137 | 96.35 | 1156.204 | ||
| 9/112 | 96.429 | 1157.143 | ||
| 7/87 | 96.552 | 1158.621 | ||
| 12/149 | 96.644 | 1159.7315 | ||
| 17/211 | 96.6825 | 1160.278 | ||
| 5/62 | 96.774 | 1161.29 | ||
| 13/161 | 96.894 | 1162.733 | ||
| 96.915 | 1162.982 | |||
| 8/99 | 96.97 | 1163.636 | ||
| 11/136 | 97.059 | 1164.706 | ||
| 97.0255 | 1164.306 | |||
| 14/173 | 97.11 | 1165.318 | ||
| 17/210 | 97.143 | 1165.714 | ||
| 20/247 | 97.166 | 1165.992 | ||
| 23/284 | 97.183 | 1166.197 | ||
| 3/37 | 97.297 | 1167.568 | ||
| 25/308 | 97.403 | 1168.831 | ||
| 97.416 | 1168.9915 | |||
| 22/271 | 97.417 | 1169.004 | ||
| 19/234 | 97.436 | 1169.231 | ||
| 16/197 | 97.462 | 1169.543 | ||
| 13/160 | 97.5 | 1170 | ||
| 10/123 | 97.561 | 1170.731 | ||
| 17/209 | 97.608 | 1171.292 | ||
| 7/86 | 97.674 | 1172.093 | ||
| 11/135 | 97,778 | 1173.333 | ||
| 15/184 | 97.826 | 1173.913 | ||
| 19/233 | 97.854 | 1174.249 | ||
| 4/49 | 97.959 | 1175.51 | ||
| 17/208 | 98.077 | 1176.923 | ||
| 13/159 | 98.113 | 1177.3585 | ||
| 9/110 | 98.182 | 1178.182 | ||
| 14/171 | 98.246 | 1178.947 | ||
| 19/232 | 98.276 | 1179.31 | ||
| 5/61 | 98.361 | 1180.323 | ||
| 1/12 | 100 | 1200 | ||