Scala analysis: CD14_01_Algeria
Nûba Raml al-'ashiyya / Tûshiya - L'ensemble d'Al-'Arabî Ben Sârî (raml al-ashiyya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 105.224 cents 105.224324 2: 194.943 cents 194.942893 3: 292.073 cents 292.073013 4: 484.694 cents 484.693773 5: 687.023 cents 687.022615 6: 785.818 cents 785.817697 7: 984.945 cents 984.944855 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 215.0551 cents 215.0551 1: 105.2243 cents 105.2243 2: 89.7186 cents 89.7186 3: 97.1301 cents 97.1301 4: 192.6208 cents 192.6208 5: 202.3288 cents 202.3288 6: 98.7951 cents 98.7951 7: 199.1272 cents 199.1272 8: 215.0551 cents 215.0551
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 89.71857 cents 1: 1 97.13012 cents 1: 1 98.79508 cents 1: 1 105.22432 cents 1: 1 192.62076 cents 1: 1 199.12716 cents 1: 1 202.32884 cents 1: 1 215.05515 cents 2: 1 186.84869 cents 2: 1 194.94289 cents 2: 1 289.75088 cents 2: 1 297.92224 cents 2: 1 301.12392 cents 2: 1 320.27947 cents 2: 1 394.94960 cents 2: 1 414.18230 cents 3: 1 292.07301 cents 3: 1 379.46945 cents 3: 1 409.99804 cents 3: 1 492.07972 cents 3: 1 493.74468 cents 3: 1 500.25108 cents 3: 1 512.97739 cents 3: 1 519.40663 cents 4: 1 484.69377 cents 4: 1 507.12816 cents 4: 1 581.79829 cents 4: 1 590.87480 cents 4: 1 609.12520 cents 4: 1 618.20171 cents 4: 1 692.87184 cents 4: 1 715.30623 cents 5: 1 680.59337 cents 5: 1 687.02261 cents 5: 1 699.74892 cents 5: 1 706.25532 cents 5: 1 707.92028 cents 5: 1 790.00196 cents 5: 1 820.53055 cents 5: 1 907.92699 cents 6: 1 785.81770 cents 6: 1 805.05040 cents 6: 1 879.72053 cents 6: 1 898.87608 cents 6: 1 902.07776 cents 6: 1 910.24912 cents 6: 1 1005.05711 cents 6: 1 1013.15131 cents 7: 1 984.94485 cents 7: 1 997.67116 cents 7: 1 1000.87284 cents 7: 1 1007.37924 cents 7: 1 1094.77568 cents 7: 1 1101.20492 cents 7: 1 1102.86988 cents 7: 1 1110.28143 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 105.2 194.9 292.1 484.7 687.0 785.8 984.9 1200.0 105.2 : 89.7 186.8 379.5 581.8 680.6 879.7 1094.8 1200.0 194.9 : 97.1 289.8 492.1 590.9 790.0 1005.1 1110.3 1200.0 292.1 : 192.6 394.9 493.7 692.9 907.9 1013.2 1102.9 1200.0 484.7 : 202.3 301.1 500.3 715.3 820.5 910.2 1007.4 1200.0 687.0 : 98.8 297.9 513.0 618.2 707.9 805.1 997.7 1200.0 785.8 : 199.1 414.2 519.4 609.1 706.3 898.9 1101.2 1200.0 984.9 : 215.1 320.3 410.0 507.1 699.7 902.1 1000.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 89.7186 .. 215.0551 cents 125.33658 cents 89.71857 cents 2: 186.8487 .. 414.1823 cents 227.33361 cents -28.20646 cents 3: 292.0730 .. 519.4066 cents 227.33361 cents -122.10929 cents 4: 484.6938 .. 715.3062 cents 230.61245 cents -34.71285 cents 5: 680.5934 .. 907.9270 cents 227.33361 cents -34.71285 cents 6: 785.8177 .. 1013.1513 cents 227.33361 cents -122.10929 cents 7: 984.9449 .. 1110.2814 cents 125.33658 cents -28.20646 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 89.71857 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 215.05515 cents Average / Smallest step : 1.671895 Largest / Average step : 1.433701 Largest / Smallest step : 2.396997 Median interval of one step : 148.92254 cents, amount: 0 Least squares average step : 137.03303 cents, oct.: 1096.26422 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DABEGCFH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.32213 cents Scale diversity : 1.463083 Lumma stability : 0.149531 Lumma impropriety factor : 0.308381 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.66496 cents Number of recognisable fifths : 6, average 701.5209 cents Number of appreciable fifths : 4, average 701.6991 cents Formal octave complements present : 1 = 12.5000% Limited inverse transpositions with margin 227.3336 cents: 3 -- Rational properties --
FIT/MODE
8: 0 1 1 1 1 1 1 2 N T3 SD: 61.6745 c. M: 105.2243 c. 9: 1 0 1 2 1 1 1 2 N D3 SD: 36.8721 c. M: 61.6096 c. 10: 1 1 1 1 2 1 1 2 P D3 S SD: 37.9639 c. M:-67.9270 c. 11: 1 1 1 1 2 1 2 2 N SD: 26.6608 c. M: 48.3301 c. 12: 1 1 1 2 2 1 2 2 N D3 SD: 10.8754 c. M:-15.3062 c. Raga Gandhari, Komal Desi, Phrygian/Aeolian mixed 30: 3 2 2 5 5 3 5 5 N SD: 10.5404 c. M:-15.0551 c. 32: 3 2 3 5 5 3 5 6 N SD: 7.2914 c. M: 12.0226 c. 35: 3 3 3 5 6 3 6 6 N SD: 8.0031 c. M:-16.4984 c. 37: 3 3 3 6 6 3 6 7 N SD: 6.1255 c. M: 11.9719 c. 38: 3 3 3 6 7 3 6 7 N SD: 7.3465 c. M: 11.0096 c. 44: 4 3 4 7 7 4 7 8 N SD: 4.9431 c. M:-7.9270 c. 49: 4 4 4 8 8 4 8 9 N SD: 3.8403 c. M: 7.2651 c. 61: 5 5 5 10 10 5 10 11 N SD: 3.7924 c. M:-7.1095 c. 66: 6 5 5 11 11 5 11 12 N SD: 3.8953 c. M:-6.2153 c. 67: 6 5 5 11 11 6 11 12 N SD: 3.3012 c. M: 6.4256 c. 78: 7 6 6 13 13 6 13 14 N SD: 3.8597 c. M:-7.6139 c. 79: 7 6 6 13 13 7 13 14 N SD: 2.6413 c. M:-4.0557 c. 91: 8 7 7 15 15 8 15 16 N SD: 2.9532 c. M:-5.3911 c. 94: 8 7 8 15 16 8 15 17 N SD: 2.8630 c. M:-5.6717 c. 99: 9 7 8 16 17 8 16 18 N SD: 2.4100 c. M:-3.8865 c. 107: 9 8 9 17 18 9 18 19 N SD: 2.6454 c. M: 4.2897 c. 110: 10 8 9 17 19 9 18 20 N SD: 2.6240 c. M: 4.6938 c. 111: 10 8 9 18 19 9 18 20 N SD: 2.4523 c. M:-4.8693 c. 112: 10 8 9 18 19 9 19 20 N SD: 2.1828 c. M: 3.6748 c. 116: 10 9 9 19 19 10 19 21 N SD: 2.1503 c. M: 4.2640 c. 122: 11 9 10 19 21 10 20 22 N SD: 2.0516 c. M:-3.0090 c. 124: 11 9 10 20 21 10 21 22 N SD: 1.3972 c. M:-2.1519 c. 136: 12 10 11 22 23 11 23 24 N SD: 1.3624 c. M:-3.2904 c. 161: 14 12 13 26 27 13 27 29 N SD: 1.4700 c. M: 3.2090 c. 168: 15 12 14 27 28 14 28 30 N SD: 1.2248 c. M: 2.0858 c. 173: 15 13 14 28 29 14 29 31 N SD: 0.9557 c. M: 2.0027 c. 180: 16 13 15 29 30 15 30 32 N SD: 1.3212 c. M:-1.9729 c. 185: 16 14 15 30 31 15 31 33 N SD: 0.9779 c. M:-1.7927 c. 238: 21 18 19 38 40 20 39 43 N SD: 1.0724 c. M: 1.7516 c. 241: 21 18 20 38 41 20 40 43 N SD: 1.0332 c. M: 1.7062 c. 250: 22 19 20 40 42 21 41 45 N SD: 0.9566 c. M:-1.8571 c. 252: 22 19 20 41 42 21 42 45 N SD: 0.8808 c. M: 1.5968 c. 272: 24 20 22 44 46 22 45 49 N SD: 0.8124 c. M:-1.2127 c. 295: 26 22 24 47 50 24 49 53 N SD: 0.5532 c. M:-0.8083 c. 307: 27 23 25 49 52 25 51 55 N SD: 0.5488 c. M:-1.0866 c. 374: 33 28 30 60 63 31 62 67 N SD: 0.4073 c. M:-0.7790 c. 431: 38 32 35 69 73 35 72 77 N SD: 0.4771 c. M:-0.6804 c. 468: 41 35 38 75 79 38 78 84 N SD: 0.4547 c. M: 1.2023 c. 480: 42 36 39 77 81 39 80 86 N SD: 0.3920 c. M: 0.8177 c. 547: 48 41 44 88 92 45 91 98 N SD: 0.2602 c. M: 0.4429 c. 559: 49 42 45 90 94 46 93 100 N SD: 0.2654 c. M:-0.4583 c. 629: 55 47 51 101 106 52 104 113 N SD: 0.2773 c. M: 0.5251 c. 641: 56 48 52 103 108 53 106 115 N SD: 0.2510 c. M:-0.4538 c. 753: 66 56 61 121 127 62 125 135 N SD: 0.2696 c. M: 0.5206 c. 765: 67 57 62 123 129 63 127 137 N SD: 0.2024 c. M: 0.4331 c. 777: 68 58 63 125 131 64 129 139 N SD: 0.2599 c. M:-0.3833 c. 788: 69 59 64 126 133 65 131 141 N SD: 0.2414 c. M: 0.4298 c. 854: 75 64 69 137 144 70 142 153 N SD: 0.2061 c. M:-0.3733 c. 887: 78 66 72 142 150 73 147 159 N SD: 0.2126 c. M: 0.3646 c. 936: 82 70 76 150 158 77 155 168 N SD: 0.1639 c. M: 0.3295 c. 1003: 88 75 81 161 169 83 166 180 N SD: 0.1844 c. M: 0.2988 c. 1015: 89 76 82 163 171 84 168 182 N SD: 0.1590 c. M:-0.3892 c. 1060: 93 79 86 170 179 87 176 190 N SD: 0.1274 c. M: 0.2259 c. 1139: 100 85 92 183 192 94 189 204 N SD: 0.1247 c. M: 0.2381 c. 1188: 104 89 96 191 200 98 197 213 N SD: 0.1186 c. M: 0.1738 c. 1434: 126 107 116 230 242 118 238 257 N SD: 0.1004 c. M:-0.2150 c. 1446: 127 108 117 232 244 119 240 259 N SD: 0.0944 c. M:-0.1699 c. 1483: 130 111 120 238 250 122 246 266 N SD: 0.0829 c. M: 0.1842 c. 1495: 131 112 121 240 252 123 248 268 N SD: 0.0795 c. M:-0.1223 c. 1619: 142 121 131 260 273 133 269 290 N SD: 0.0732 c. M: 0.1475 c. 2075: 182 155 168 333 350 171 344 372 N SD: 0.0580 c. M:-0.1100 c. 2248: 197 168 182 361 379 185 373 403 N SD: 0.0601 c. M: 0.1030 c. 2260: 198 169 183 363 381 186 375 405 N SD: 0.0577 c. M: 0.0916 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 7.4662 cents 3 x x x 4 x 5 x 6 S SD: 33.1471 cents 4 x x 5 x 6 x 7:8 S SD: 24.1921 cents 5 x x 6:7 x 8:9:10 S SD: 21.8785 cents 6 x x 7:8:9 x 11:12 SD: 14.4029 cents 7 x 8 x 9:10:11:12:14 S SD: 17.7207 cents 8 x 9 x 11:12:13:14:16 SD: 14.9026 cents 9 x 10:11:12:13:14:16:18 S SD: 11.5168 cents 10 x 11:12:13:15:16:18:20 SD: 9.5261 cents 11 x 12:13:15:16:17:19:22 SD: 13.3318 cents 12:13 x 14:16:18:19:21:24 SD: 7.1474 cents 13:14 x 15:17:19:20:23:26 SD: 10.5183 cents 14:15:16:17:19:21:22:25:28 SD: 9.6670 cents 15:16:17:18:20:22:24:27:30 S SD: 7.5688 cents 16:17:18:19:21:24:25:28:32 SD: 3.8738 cents 31:33:35:37:41:46:49:55:62 SD: 2.9610 cents 33:35:37:39:44:49:52:58:66 SD: 2.1332 cents 43:46:48:51:57:64:68:76:86 SD: 1.9212 cents 49:52:55:58:65:73:77:87:98 SD: 1.5397 cents 59:63:66:70:78:88:93:104:118 SD: 1.4279 cents 65:69:73:77:86:97:102:115:130 SD: 1.3591 cents 77:82:86:91:102:115:121:136:154 SD: 1.2811 cents 82:87:92:97:108:122:129:145:164 SD: 1.2234 cents 92:98:103:109:122:137:145:163:184 SD: 1.0565 cents 93:99:104:110:123:138:146:164:186 SD: 0.9788 cents 99:105:111:117:131:147:156:175:198 SD: 0.7904 cents 115:122:129:136:152:171:181:203:230 SD: 0.7050 cents 125:133:140:148:165:186:197:221:250 SD: 0.6767 cents 127:135:142:150:168:189:200:224:254 SD: 0.6452 cents 142:151:159:168:188:211:224:251:284 SD: 0.5398 cents 158:168:177:187:209:235:249:279:316 SD: 0.3330 cents 244:259:273:289:323:363:384:431:488 SD: 0.3249 cents 287:305:321:340:380:427:452:507:574 SD: 0.2916 cents 300:319:336:355:397:446:472:530:600 SD: 0.2836 cents 304:323:340:360:402:452:479:537:608 SD: 0.2696 cents 337:358:377:399:446:501:531:595:674 SD: 0.2469 cents 353:375:395:418:467:525:556:624:706 SD: 0.2140 cents 369:392:413:437:488:549:581:652:738 SD: 0.1945 cents 386:410:432:457:511:574:608:682:772 SD: 0.1943 cents 402:427:450:476:532:598:633:710:804 SD: 0.1480 cents 446:474:499:528:590:663:702:788:892 SD: 0.1436 cents 495:526:554:586:655:736:779:874:990 SD: 0.1389 cents