8L 1s: Difference between revisions
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This MOS has a generator between 1\9edo (133 1/3 cents) and 1\8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. [http://www.neuroscience-of-music.se/pelog_main.htm Pelog] and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [ | This MOS has a generator between 1\9edo (133 1/3 cents) and 1\8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. [http://www.neuroscience-of-music.se/pelog_main.htm Pelog] and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [https://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata Raden Machjar Angga Koesoemadinata] or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator. | ||
{| class="wikitable" | {| class="wikitable" | ||
Line 15: | Line 15: | ||
! colspan="7" | Generator | ! colspan="7" | Generator | ||
! | Cents | ! | Cents | ||
!Remainder | |||
! | Comments | ! | Comments | ||
|- | |- | ||
Line 25: | Line 26: | ||
| | | | | | ||
| | 133.333 | | | 133.333 | ||
|133.333 | |||
| style="text-align:center;" | L/s = 1 | | style="text-align:center;" | L/s = 1 | ||
|- | |- | ||
Line 35: | Line 37: | ||
| | 8\71 | | | 8\71 | ||
| | 135.211 | | | 135.211 | ||
|118.310 | |||
| | | | | | ||
|- | |- | ||
Line 45: | Line 48: | ||
| | | | | | ||
| | 135.484 | | | 135.484 | ||
|116.129 | |||
| | | | | | ||
|- | |- | ||
Line 55: | Line 59: | ||
| | 13\115 | | | 13\115 | ||
| | 135.652 | | | 135.652 | ||
|114.782 | |||
| | | | | | ||
|- | |- | ||
Line 65: | Line 70: | ||
| | | | | | ||
| | 135.849 | | | 135.849 | ||
|113.207 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 75: | Line 81: | ||
| | 17\150 | | | 17\150 | ||
| | 136.000 | | | 136.000 | ||
|112.000 | |||
| | | | | | ||
|- | |- | ||
Line 85: | Line 92: | ||
| | | | | | ||
| | 136.082 | | | 136.082 | ||
|111.340 | |||
| | | | | | ||
|- | |- | ||
Line 95: | Line 103: | ||
| | 16\141 | | | 16\141 | ||
| | 136.170 | | | 136.170 | ||
|110.638 | |||
| | | | | | ||
|- | |- | ||
Line 105: | Line 114: | ||
| | | | | | ||
| | 136.364 | | | 136.364 | ||
|109.091 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 115: | Line 125: | ||
| | 19\167 | | | 19\167 | ||
| | 136.527 | | | 136.527 | ||
|107.784 | |||
| | | | | | ||
|- | |- | ||
Line 125: | Line 136: | ||
| | | | | | ||
| | 136.585 | | | 136.585 | ||
|107.317 | |||
| | | | | | ||
|- | |- | ||
Line 135: | Line 147: | ||
| | 23\202 | | | 23\202 | ||
| | 136.634 | | | 136.634 | ||
|106.931 | |||
| | | | | | ||
|- | |- | ||
Line 145: | Line 158: | ||
| | | | | | ||
| | 136.709 | | | 136.709 | ||
|106.329 | |||
| | | | | | ||
|- | |- | ||
Line 155: | Line 169: | ||
| | 22\193 | | | 22\193 | ||
| | 136.788 | | | 136.788 | ||
|105.699 | |||
| | | | | | ||
|- | |- | ||
Line 165: | Line 180: | ||
| | | | | | ||
| | 136.842 | | | 136.842 | ||
|105.263 | |||
| | | | | | ||
|- | |- | ||
Line 175: | Line 191: | ||
| | 17\149 | | | 17\149 | ||
| | 136.913 | | | 136.913 | ||
|104.698 | |||
| | | | | | ||
|- | |- | ||
Line 185: | Line 202: | ||
| | | | | | ||
| | 137.143 | | | 137.143 | ||
|102.857 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 195: | Line 213: | ||
| | 19\166 | | | 19\166 | ||
| | 137.349 | | | 137.349 | ||
|101.205 | |||
| | | | | | ||
|- | |- | ||
Line 205: | Line 224: | ||
| | | | | | ||
| | 137.405 | | | 137.405 | ||
|100.733 | |||
| | | | | | ||
|- | |- | ||
Line 215: | Line 235: | ||
| | 26\227 | | | 26\227 | ||
| | 137.445 | | | 137.445 | ||
|100.441 | |||
| | | | | | ||
|- | |- | ||
Line 225: | Line 246: | ||
| | | | | | ||
| | 137.500 | | | 137.500 | ||
|100.000 | |||
| | | | | | ||
|- | |- | ||
Line 235: | Line 257: | ||
| | 29\253 | | | 29\253 | ||
| | 137.549 | | | 137.549 | ||
|99.605 | |||
| | | | | | ||
|- | |- | ||
Line 245: | Line 268: | ||
| | | | | | ||
| | 137.580 | | | 137.580 | ||
|99.363 | |||
| | | | | | ||
|- | |- | ||
Line 255: | Line 279: | ||
| | 25\218 | | | 25\218 | ||
| | 134.615 | | | 134.615 | ||
|99.083 | |||
| | | | | | ||
|- | |- | ||
Line 265: | Line 290: | ||
| | | | | | ||
| | 137.705 | | | 137.705 | ||
|98.361 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 275: | Line 301: | ||
| | 24\209 | | | 24\209 | ||
| | 137.799 | | | 137.799 | ||
|97.608 | |||
| | | | | | ||
|- | |- | ||
Line 285: | Line 312: | ||
| | | | | | ||
| | 137.838 | | | 137.838 | ||
|97.297 | |||
| | | | | | ||
|- | |- | ||
Line 295: | Line 323: | ||
| | 27\235 | | | 27\235 | ||
| | 137.872 | | | 137.872 | ||
|97.021 | |||
| | | | | | ||
|- | |- | ||
Line 305: | Line 334: | ||
| | | | | | ||
| | 137.931 | | | 137.931 | ||
|96.552 | |||
| | | | | | ||
|- | |- | ||
Line 315: | Line 345: | ||
| | 23\200 | | | 23\200 | ||
| | 138.000 | | | 138.000 | ||
|96.000 | |||
| | | | | | ||
|- | |- | ||
Line 325: | Line 356: | ||
| | | | | | ||
| | 138.053 | | | 138.053 | ||
|95.575 | |||
| | | | | | ||
|- | |- | ||
Line 335: | Line 367: | ||
| | 16\139 | | | 16\139 | ||
| | 138.130 | | | 138.130 | ||
|94.964 | |||
| | | | | | ||
|- | |- | ||
Line 345: | Line 378: | ||
| | | | | | ||
| | 138.462 | | | 138.462 | ||
|92.308 | |||
| style="text-align:center;" | L/s = 1.5 | | style="text-align:center;" | L/s = 1.5 | ||
|- | |- | ||
Line 355: | Line 389: | ||
| | 17\147 | | | 17\147 | ||
| | 138.776 | | | 138.776 | ||
|89.796 | |||
| | | | | | ||
|- | |- | ||
Line 365: | Line 400: | ||
| | | | | | ||
| | 138.843 | | | 138.843 | ||
|89.256 | |||
| | | | | | ||
|- | |- | ||
Line 375: | Line 411: | ||
| | 25\216 | | | 25\216 | ||
| | 138.889 | | | 138.889 | ||
|88.889 | |||
| | | | | | ||
|- | |- | ||
Line 385: | Line 422: | ||
| | | | | | ||
| | 138.943 | | | 138.943 | ||
|88.454 | |||
| | | | | | ||
|- | |- | ||
Line 395: | Line 433: | ||
| | | | | | ||
| | 138.947 | | | 138.947 | ||
|88,421 | |||
| | | | | | ||
|- | |- | ||
Line 405: | Line 444: | ||
| | 30\259 | | | 30\259 | ||
| | 138.996 | | | 138.996 | ||
|88.031 | |||
| | | | | | ||
|- | |- | ||
Line 415: | Line 455: | ||
| | | | | | ||
| | 139.024 | | | 139.024 | ||
|87.805 | |||
| | | | | | ||
|- | |- | ||
Line 425: | Line 466: | ||
| | 27\233 | | | 27\233 | ||
| | 139.056 | | | 139.056 | ||
|87.554 | |||
| | | | | | ||
|- | |- | ||
Line 435: | Line 477: | ||
| | | | | | ||
| | 139.130 | | | 139.130 | ||
|86.957 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 445: | Line 488: | ||
| | 29\250 | | | 29\250 | ||
| | 139.200 | | | 139.200 | ||
|86.400 | |||
| | | | | | ||
|- | |- | ||
Line 455: | Line 499: | ||
| | | | | | ||
| | 139.227 | | | 139.227 | ||
|86.188 | |||
| | | | | | ||
|- | |- | ||
Line 465: | Line 510: | ||
| | | | | | ||
| | 139.242 | | | 139.242 | ||
|86.057 | |||
| | | | | | ||
|- | |- | ||
Line 473: | Line 519: | ||
| | | | | | ||
| | | | | | ||
| | 34\ | | | 34\293 | ||
| | 139.249 | | | 139.249 | ||
|86.007 | |||
| | | | | | ||
|- | |- | ||
Line 485: | Line 532: | ||
| | | | | | ||
| | 139.286 | | | 139.286 | ||
|85.714 | |||
| | | | | | ||
|- | |- | ||
Line 495: | Line 543: | ||
| | 31\267 | | | 31\267 | ||
| | 139.326 | | | 139.326 | ||
|85.393 | |||
| | | | | | ||
|- | |- | ||
Line 505: | Line 554: | ||
| | | | | | ||
| | 139.355 | | | 139.355 | ||
|85.161 | |||
| | | | | | ||
|- | |- | ||
Line 515: | Line 565: | ||
| | 23\198 | | | 23\198 | ||
| | 139.394 | | | 139.394 | ||
|84.848 | |||
| | | | | | ||
|- | |- | ||
Line 525: | Line 576: | ||
| | | | | | ||
| | 139.535 | | | 139.535 | ||
|83.721 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 535: | Line 587: | ||
| | 22\189 | | | 22\189 | ||
| | 139.683 | | | 139.683 | ||
|82.540 | |||
| | | | | | ||
|- | |- | ||
Line 545: | Line 598: | ||
| | | | | | ||
| | 139.726 | | | 139.726 | ||
|82.192 | |||
| | | | | | ||
|- | |- | ||
Line 555: | Line 609: | ||
| | 29\249 | | | 29\249 | ||
| | 139.759 | | | 139.759 | ||
|81.928 | |||
| | | | | | ||
|- | |- | ||
Line 565: | Line 620: | ||
| | | | | | ||
| | 139.803 | | | 139.803 | ||
|81.553 | |||
| | | | | | ||
|- | |- | ||
Line 575: | Line 631: | ||
| | 31\266 | | | 31\266 | ||
| | 139.850 | | | 139.850 | ||
|81.203 | |||
| | | | | | ||
|- | |- | ||
Line 585: | Line 642: | ||
| | | | | | ||
| | 139.877 | | | 139.877 | ||
|80.982 | |||
| | | | | | ||
|- | |- | ||
Line 595: | Line 653: | ||
| | | | | | ||
| | 139.903 | | | 139.903 | ||
|80.773 | |||
| | | | | | ||
|- | |- | ||
Line 605: | Line 664: | ||
| | 26\223 | | | 26\223 | ||
| | 139.910 | | | 139.910 | ||
|80.717 | |||
| | | | | | ||
|- | |- | ||
Line 615: | Line 675: | ||
| | | | | | ||
| | 140.000 | | | 140.000 | ||
|80.000 | |||
| style="text-align:center;" | Bleu is around here | | style="text-align:center;" | Bleu is around here | ||
|- | |- | ||
Line 625: | Line 686: | ||
| | 23\197 | | | 23\197 | ||
| | 140.102 | | | 140.102 | ||
|79.188 | |||
| | | | | | ||
|- | |- | ||
Line 635: | Line 697: | ||
| | | | | | ||
| | 140.146 | | | 140.146 | ||
|78.832 | |||
| | | | | | ||
|- | |- | ||
Line 645: | Line 708: | ||
| | 25\214 | | | 25\214 | ||
| | 140.187 | | | 140.187 | ||
|78.505 | |||
| | | | | | ||
|- | |- | ||
Line 655: | Line 719: | ||
| | | | | | ||
| | 140.260 | | | 140.260 | ||
|77.922 | |||
| | Tsaharuk is between here… | | | Tsaharuk is between here… | ||
|- | |- | ||
Line 665: | Line 730: | ||
| | 20\171 | | | 20\171 | ||
| | 140.351 | | | 140.351 | ||
|77.193 | |||
| | | | | | ||
|- | |- | ||
Line 675: | Line 741: | ||
| | | | | | ||
| | 140.426 | | | 140.426 | ||
|76.595 | |||
| style="text-align:center;" | …and here | | style="text-align:center;" | …and here | ||
Line 687: | Line 754: | ||
| | 13\111 | | | 13\111 | ||
| | 140.541 | | | 140.541 | ||
|75.676 | |||
| style="text-align:center;" | …and here | | style="text-align:center;" | …and here | ||
|- | |- | ||
Line 697: | Line 765: | ||
| | | | | | ||
| | 141.176 | | | 141.176 | ||
|70.588 | |||
| style="text-align:center;" | L/s = 2 | | style="text-align:center;" | L/s = 2 | ||
|- | |- | ||
Line 707: | Line 776: | ||
| | 13\110 | | | 13\110 | ||
| | 141.818 | | | 141.818 | ||
|65.455 | |||
| | | | | | ||
|- | |- | ||
Line 717: | Line 787: | ||
| | | | | | ||
| | 141.936 | | | 141.936 | ||
|64.516 | |||
| | | | | | ||
|- | |- | ||
Line 727: | Line 798: | ||
| | 20\169 | | | 20\169 | ||
| | 142.012 | | | 142.012 | ||
|63.905 | |||
| | | | | | ||
|- | |- | ||
Line 737: | Line 809: | ||
| | | | | | ||
| | 142.105 | | | 142.105 | ||
|63.158 | |||
| | | | | | ||
|- | |- | ||
Line 747: | Line 820: | ||
| | 25\211 | | | 25\211 | ||
| | 142.180 | | | 142.180 | ||
|62.559 | |||
| | | | | | ||
|- | |- | ||
Line 757: | Line 831: | ||
| | | | | | ||
| | 142.222 | | | 142.222 | ||
|62.222 | |||
| | | | | | ||
|- | |- | ||
Line 767: | Line 842: | ||
| | 23\194 | | | 23\194 | ||
| | 142.268 | | | 142.268 | ||
|61.856 | |||
| | | | | | ||
|- | |- | ||
Line 777: | Line 853: | ||
| | | | | | ||
| | 142.373 | | | 142.373 | ||
|61.017 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 787: | Line 864: | ||
| | 26\219 | | | 26\219 | ||
| | 142.466 | | | 142.466 | ||
|60.273 | |||
| | | | | | ||
|- | |- | ||
Line 797: | Line 875: | ||
| | | | | | ||
| | 142.500 | | | 142.500 | ||
|60.000 | |||
| | | | | | ||
|- | |- | ||
Line 807: | Line 886: | ||
| | 31\261 | | | 31\261 | ||
| | 142.529 | | | 142.529 | ||
|59.770 | |||
| | | | | | ||
|- | |- | ||
Line 817: | Line 897: | ||
| | | | | | ||
| | 142.574 | | | 142.574 | ||
|59.406 | |||
| | | | | | ||
|- | |- | ||
Line 827: | Line 908: | ||
| | 29\244 | | | 29\244 | ||
| | 142.623 | | | 142.623 | ||
|59.016 | |||
| | | | | | ||
|- | |- | ||
Line 837: | Line 919: | ||
| | | | | | ||
| | 142.657 | | | 142.657 | ||
|58.741 | |||
| | | | | | ||
|- | |- | ||
Line 847: | Line 930: | ||
| | 22\185 | | | 22\185 | ||
| | 142.703 | | | 142.703 | ||
|58.378 | |||
| | | | | | ||
|- | |- | ||
Line 857: | Line 941: | ||
| | | | | | ||
| | 142.857 | | | 142.857 | ||
|57.143 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 867: | Line 952: | ||
| | 23\193 | | | 23\193 | ||
| | 143.005 | | | 143.005 | ||
|55.959 | |||
| | | | | | ||
|- | |- | ||
Line 877: | Line 963: | ||
| | | | | | ||
| | 143.046 | | | 143.046 | ||
|55.629 | |||
| | | | | | ||
|- | |- | ||
Line 887: | Line 974: | ||
| | 31\260 | | | 31\260 | ||
| | 143.077 | | | 143.077 | ||
|55.285 | |||
| | | | | | ||
|- | |- | ||
Line 897: | Line 985: | ||
| | | | | | ||
| | 143.119 | | | 143.119 | ||
|55.045 | |||
| | | | | | ||
|- | |- | ||
Line 907: | Line 996: | ||
| | 34\285 | | | 34\285 | ||
| | 143.158 | | | 143.158 | ||
|54.737 | |||
| | | | | | ||
|- | |- | ||
Line 917: | Line 1,007: | ||
| | | | | | ||
| | 143.1645 | | | 143.1645 | ||
|54.684 | |||
| | | | | | ||
|- | |- | ||
Line 927: | Line 1,018: | ||
| | | | | | ||
| | 143.182 | | | 143.182 | ||
|54.545 | |||
| | | | | | ||
|- | |- | ||
Line 937: | Line 1,029: | ||
| | 29\243 | | | 29\243 | ||
| | 143.210 | | | 143.210 | ||
|54.321 | |||
| | | | | | ||
|- | |- | ||
Line 947: | Line 1,040: | ||
| | | | | | ||
| | 143.284 | | | 143.284 | ||
|53.731 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 957: | Line 1,051: | ||
| | 27\226 | | | 27\226 | ||
| | 143.363 | | | 143.363 | ||
|53.097 | |||
| | | | | | ||
|- | |- | ||
Line 967: | Line 1,062: | ||
| | | | | | ||
| | 143.396 | | | 143.396 | ||
|52.830 | |||
| | | | | | ||
|- | |- | ||
Line 977: | Line 1,073: | ||
| | | | | | ||
| | 143.406 | | | 143.406 | ||
|52.756 | |||
| style="text-align:center;" | L/s = e | | style="text-align:center;" | L/s = e | ||
|- | |- | ||
Line 987: | Line 1,084: | ||
| | 30\251 | | | 30\251 | ||
| | 143.426 | | | 143.426 | ||
|52.590 | |||
| | | | | | ||
|- | |- | ||
Line 997: | Line 1,095: | ||
| | | | | | ||
| | 143.478 | | | 143.478 | ||
|52.174 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 1,007: | Line 1,106: | ||
| | 25\209 | | | 25\209 | ||
| | 143.541 | | | 143.541 | ||
|51.675 | |||
| | | | | | ||
|- | |- | ||
Line 1,017: | Line 1,117: | ||
| | | | | | ||
| | 143.590 | | | 143.590 | ||
|51.282 | |||
| | | | | | ||
|- | |- | ||
Line 1,027: | Line 1,128: | ||
| | 17\142 | | | 17\142 | ||
| | 143.662 | | | 143.662 | ||
|50.704 | |||
| | | | | | ||
|- | |- | ||
Line 1,037: | Line 1,139: | ||
| | | | | | ||
| | 144.000 | | | 144.000 | ||
|48.000 | |||
| style="text-align:center;" | L/s = 3 | | style="text-align:center;" | L/s = 3 | ||
|- | |- | ||
Line 1,047: | Line 1,150: | ||
| | | | | | ||
| | 144.260 | | | 144.260 | ||
|45.919 | |||
| style="text-align:center;" | L/s = pi | | style="text-align:center;" | L/s = pi | ||
|- | |- | ||
Line 1,057: | Line 1,161: | ||
| | 16\133 | | | 16\133 | ||
| | 144.361 | | | 144.361 | ||
|45.113 | |||
| | | | | | ||
|- | |- | ||
Line 1,067: | Line 1,172: | ||
| | | | | | ||
| | 144.444 | | | 144.444 | ||
|44.444 | |||
| | | | | | ||
|- | |- | ||
Line 1,077: | Line 1,183: | ||
| | 23\191 | | | 23\191 | ||
| | 144.503 | | | 144.503 | ||
|43.979 | |||
| | | | | | ||
|- | |- | ||
Line 1,087: | Line 1,194: | ||
| | | | | | ||
| | 144.578 | | | 144.578 | ||
|43.373 | |||
| | | | | | ||
|- | |- | ||
Line 1,097: | Line 1,205: | ||
| | 27\224 | | | 27\224 | ||
| | 144.643 | | | 144.643 | ||
|42.857 | |||
| | | | | | ||
|- | |- | ||
Line 1,107: | Line 1,216: | ||
| | | | | | ||
| | 144.681 | | | 144.681 | ||
|42.553 | |||
| | | | | | ||
|- | |- | ||
Line 1,117: | Line 1,227: | ||
| | 24\199 | | | 24\199 | ||
| | 144.724 | | | 144.724 | ||
|42.211 | |||
| | | | | | ||
|- | |- | ||
Line 1,127: | Line 1,238: | ||
| | | | | | ||
| | 144.828 | | | 144.828 | ||
|41.379 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
Line 1,137: | Line 1,249: | ||
| | 25\207 | | | 25\207 | ||
| | 144.928 | | | 144.928 | ||
|40.580 | |||
| | | | | | ||
|- | |- | ||
Line 1,147: | Line 1,260: | ||
| | | | | | ||
| | 144.966 | | | 144.966 | ||
|40.268 | |||
| | | | | | ||
|- | |- | ||
Line 1,157: | Line 1,271: | ||
| | 29\240 | | | 29\240 | ||
| | 145.000 | | | 145.000 | ||
|40.000 | |||
| | | | | | ||
|- | |- | ||
Line 1,167: | Line 1,282: | ||
| | | | | | ||
| | 145.055 | | | 145.055 | ||
|39.560 | |||
| | | | | | ||
|- | |- | ||
Line 1,177: | Line 1,293: | ||
| | 26\215 | | | 26\215 | ||
| | 145.116 | | | 145.116 | ||
|39.070 | |||
| | | | | | ||
|- | |- | ||
Line 1,187: | Line 1,304: | ||
| | | | | | ||
| | 145.161 | | | 145.161 | ||
|38.710 | |||
| | | | | | ||
|- | |- | ||
Line 1,197: | Line 1,315: | ||
| | 19\157 | | | 19\157 | ||
| | 145.223 | | | 145.223 | ||
|38.217 | |||
| | | | | | ||
|- | |- | ||
Line 1,207: | Line 1,326: | ||
| | | | | | ||
| | 145.455 | | | 145.455 | ||
|36.364 | |||
| style="text-align:center;" | L/s = 4 | | style="text-align:center;" | L/s = 4 | ||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|17\140 | |||
|145.714 | |||
|34.286 | |||
| | |||
|- | |- | ||
| | | | | | ||
Line 1,214: | Line 1,345: | ||
| | | | | | ||
| | | | | | ||
| | 13\107 | |||
| | | | | | ||
| | 145.794 | | | 145.794 | ||
|33.645 | |||
| | | | | | ||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|22\181 | |||
|145.856 | |||
|33.149 | |||
| | |||
|- | |- | ||
| | | | | | ||
Line 1,223: | Line 1,366: | ||
| | | | | | ||
| | | | | | ||
| | 9\74 | |||
| | | | | | ||
| | | | | | ||
| | 145.946 | | | 145.946 | ||
|32.432 | |||
| | | | | | ||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|23\189 | |||
|146.031 | |||
|31.746 | |||
| | |||
|- | |- | ||
| | | | | | ||
Line 1,234: | Line 1,389: | ||
| | | | | | ||
| | | | | | ||
| | 14\115 | |||
| | | | | | ||
| | 146.087 | | | 146.087 | ||
|31.304 | |||
| | | | | | ||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|19\156 | |||
|146.154 | |||
|30.769 | |||
| | |||
|- | |- | ||
| | | | | | ||
Line 1,247: | Line 1,414: | ||
| | | | | | ||
| | 146.341 | | | 146.341 | ||
|29.268 | |||
| style="text-align:center;" | Bohpier is between here… | | style="text-align:center;" | Bohpier is between here… | ||
|- | |- | ||
Line 1,257: | Line 1,425: | ||
| | 16\131 | | | 16\131 | ||
| | 146.565 | | | 146.565 | ||
|27.481 | |||
| | | | | | ||
|- | |- | ||
Line 1,267: | Line 1,436: | ||
| | | | | | ||
| | 146.667 | | | 146.667 | ||
|26.667 | |||
| | | | | | ||
|- | |- | ||
Line 1,277: | Line 1,447: | ||
| | 17\139 | | | 17\139 | ||
| | 146.763 | | | 146.763 | ||
|25.899 | |||
| | | | | | ||
|- | |- | ||
Line 1,287: | Line 1,458: | ||
| | | | | | ||
| | 146.939 | | | 146.939 | ||
|24.490 | |||
| style="text-align:center;" | …and here | | style="text-align:center;" | …and here | ||
|- | |- | ||
Line 1,297: | Line 1,469: | ||
| | 13\106 | | | 13\106 | ||
| | 147.170 | | | 147.170 | ||
|22.642 | |||
| | | | | | ||
|- | |- | ||
Line 1,307: | Line 1,480: | ||
| | | | | | ||
| | 147.368 | | | 147.368 | ||
|21.052 | |||
| | | | | | ||
|- | |- | ||
Line 1,317: | Line 1,491: | ||
| | 8\65 | | | 8\65 | ||
| | 147.692 | | | 147.692 | ||
|18.462 | |||
| | | | | | ||
|- | |- | ||
Line 1,327: | Line 1,502: | ||
| | | | | | ||
| | 150.000 | | | 150.000 | ||
|0.000 | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|} | |} |
Revision as of 00:22, 24 August 2022
← 7L 1s | 8L 1s | 9L 1s → |
↙ 7L 2s | ↓ 8L 2s | 9L 2s ↘ |
┌╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║││ │││││││││││ └┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLLLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
This MOS has a generator between 1\9edo (133 1/3 cents) and 1\8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. Pelog and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher Raden Machjar Angga Koesoemadinata or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.
Generator | Cents | Remainder | Comments | ||||||
---|---|---|---|---|---|---|---|---|---|
1\9 | 133.333 | 133.333 | L/s = 1 | ||||||
8\71 | 135.211 | 118.310 | |||||||
7\62 | 135.484 | 116.129 | |||||||
13\115 | 135.652 | 114.782 | |||||||
6\53 | 135.849 | 113.207 | |||||||
17\150 | 136.000 | 112.000 | |||||||
11\97 | 136.082 | 111.340 | |||||||
16\141 | 136.170 | 110.638 | |||||||
5\44 | 136.364 | 109.091 | |||||||
19\167 | 136.527 | 107.784 | |||||||
14\123 | 136.585 | 107.317 | |||||||
23\202 | 136.634 | 106.931 | |||||||
9\79 | 136.709 | 106.329 | |||||||
22\193 | 136.788 | 105.699 | |||||||
13\114 | 136.842 | 105.263 | |||||||
17\149 | 136.913 | 104.698 | |||||||
4\35 | 137.143 | 102.857 | |||||||
19\166 | 137.349 | 101.205 | |||||||
15\131 | 137.405 | 100.733 | |||||||
26\227 | 137.445 | 100.441 | |||||||
11\96 | 137.500 | 100.000 | |||||||
29\253 | 137.549 | 99.605 | |||||||
18\157 | 137.580 | 99.363 | |||||||
25\218 | 134.615 | 99.083 | |||||||
7\61 | 137.705 | 98.361 | |||||||
24\209 | 137.799 | 97.608 | |||||||
17\148 | 137.838 | 97.297 | |||||||
27\235 | 137.872 | 97.021 | |||||||
10\87 | 137.931 | 96.552 | |||||||
23\200 | 138.000 | 96.000 | |||||||
13\113 | 138.053 | 95.575 | |||||||
16\139 | 138.130 | 94.964 | |||||||
3\26 | 138.462 | 92.308 | L/s = 1.5 | ||||||
17\147 | 138.776 | 89.796 | |||||||
14\121 | 138.843 | 89.256 | |||||||
25\216 | 138.889 | 88.889 | |||||||
138.943 | 88.454 | ||||||||
11\95 | 138.947 | 88,421 | |||||||
30\259 | 138.996 | 88.031 | |||||||
19\164 | 139.024 | 87.805 | |||||||
27\233 | 139.056 | 87.554 | |||||||
8\69 | 139.130 | 86.957 | |||||||
29\250 | 139.200 | 86.400 | |||||||
21\181 | 139.227 | 86.188 | |||||||
139.242 | 86.057 | ||||||||
34\293 | 139.249 | 86.007 | |||||||
13\112 | 139.286 | 85.714 | |||||||
31\267 | 139.326 | 85.393 | |||||||
18\155 | 139.355 | 85.161 | |||||||
23\198 | 139.394 | 84.848 | |||||||
5\43 | 139.535 | 83.721 | |||||||
22\189 | 139.683 | 82.540 | |||||||
17\146 | 139.726 | 82.192 | |||||||
29\249 | 139.759 | 81.928 | |||||||
12\103 | 139.803 | 81.553 | |||||||
31\266 | 139.850 | 81.203 | |||||||
19\163 | 139.877 | 80.982 | |||||||
139.903 | 80.773 | ||||||||
26\223 | 139.910 | 80.717 | |||||||
7\60 | 140.000 | 80.000 | Bleu is around here | ||||||
23\197 | 140.102 | 79.188 | |||||||
16\137 | 140.146 | 78.832 | |||||||
25\214 | 140.187 | 78.505 | |||||||
9\77 | 140.260 | 77.922 | Tsaharuk is between here… | ||||||
20\171 | 140.351 | 77.193 | |||||||
11\94 | 140.426 | 76.595 | …and here
Quanic is between here… | ||||||
13\111 | 140.541 | 75.676 | …and here | ||||||
2\17 | 141.176 | 70.588 | L/s = 2 | ||||||
13\110 | 141.818 | 65.455 | |||||||
11\93 | 141.936 | 64.516 | |||||||
20\169 | 142.012 | 63.905 | |||||||
9\76 | 142.105 | 63.158 | |||||||
25\211 | 142.180 | 62.559 | |||||||
16\135 | 142.222 | 62.222 | |||||||
23\194 | 142.268 | 61.856 | |||||||
7\59 | 142.373 | 61.017 | |||||||
26\219 | 142.466 | 60.273 | |||||||
19\160 | 142.500 | 60.000 | |||||||
31\261 | 142.529 | 59.770 | |||||||
12\101 | 142.574 | 59.406 | |||||||
29\244 | 142.623 | 59.016 | |||||||
17\143 | 142.657 | 58.741 | |||||||
22\185 | 142.703 | 58.378 | |||||||
5\42 | 142.857 | 57.143 | |||||||
23\193 | 143.005 | 55.959 | |||||||
18\151 | 143.046 | 55.629 | |||||||
31\260 | 143.077 | 55.285 | |||||||
13\109 | 143.119 | 55.045 | |||||||
34\285 | 143.158 | 54.737 | |||||||
143.1645 | 54.684 | ||||||||
21\176 | 143.182 | 54.545 | |||||||
29\243 | 143.210 | 54.321 | |||||||
8\67 | 143.284 | 53.731 | |||||||
27\226 | 143.363 | 53.097 | |||||||
19\159 | 143.396 | 52.830 | |||||||
143.406 | 52.756 | L/s = e | |||||||
30\251 | 143.426 | 52.590 | |||||||
11\92 | 143.478 | 52.174 | |||||||
25\209 | 143.541 | 51.675 | |||||||
14\117 | 143.590 | 51.282 | |||||||
17\142 | 143.662 | 50.704 | |||||||
3\25 | 144.000 | 48.000 | L/s = 3 | ||||||
144.260 | 45.919 | L/s = pi | |||||||
16\133 | 144.361 | 45.113 | |||||||
13\108 | 144.444 | 44.444 | |||||||
23\191 | 144.503 | 43.979 | |||||||
10\83 | 144.578 | 43.373 | |||||||
27\224 | 144.643 | 42.857 | |||||||
17\141 | 144.681 | 42.553 | |||||||
24\199 | 144.724 | 42.211 | |||||||
7\58 | 144.828 | 41.379 | |||||||
25\207 | 144.928 | 40.580 | |||||||
18\149 | 144.966 | 40.268 | |||||||
29\240 | 145.000 | 40.000 | |||||||
11\91 | 145.055 | 39.560 | |||||||
26\215 | 145.116 | 39.070 | |||||||
15\124 | 145.161 | 38.710 | |||||||
19\157 | 145.223 | 38.217 | |||||||
4\33 | 145.455 | 36.364 | L/s = 4 | ||||||
17\140 | 145.714 | 34.286 | |||||||
13\107 | 145.794 | 33.645 | |||||||
22\181 | 145.856 | 33.149 | |||||||
9\74 | 145.946 | 32.432 | |||||||
23\189 | 146.031 | 31.746 | |||||||
14\115 | 146.087 | 31.304 | |||||||
19\156 | 146.154 | 30.769 | |||||||
5\41 | 146.341 | 29.268 | Bohpier is between here… | ||||||
16\131 | 146.565 | 27.481 | |||||||
11\90 | 146.667 | 26.667 | |||||||
17\139 | 146.763 | 25.899 | |||||||
6\49 | 146.939 | 24.490 | …and here | ||||||
13\106 | 147.170 | 22.642 | |||||||
7\57 | 147.368 | 21.052 | |||||||
8\65 | 147.692 | 18.462 | |||||||
1\8 | 150.000 | 0.000 |