Scala analysis: CD16_04_Morocco
Mon amour est avec moi - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (ushshaq, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 207.959 cents 207.959140 2: 413.144 cents 413.144293 3: 502.520 cents 502.520384 4: 708.974 cents 708.974206 5: 882.530 cents 882.529676 6: 987.442 cents 987.442492 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 212.5575 cents 212.5575 1: 207.9591 cents 207.9591 2: 205.1852 cents 205.1852 3: 89.3761 cents 89.3761 4: 206.4538 cents 206.4538 5: 173.5555 cents 173.5555 6: 104.9128 cents 104.9128 7: 212.5575 cents 212.5575
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 89.37609 cents 1: 1 104.91282 cents 1: 1 173.55547 cents 1: 1 205.18515 cents 1: 1 206.45382 cents 1: 1 207.95914 cents 1: 1 212.55751 cents 2: 1 278.46829 cents 2: 1 294.56124 cents 2: 1 295.82991 cents 2: 1 317.47032 cents 2: 1 380.00929 cents 2: 1 413.14429 cents 2: 1 420.51665 cents 3: 1 469.38538 cents 3: 1 484.92211 cents 3: 1 491.02579 cents 3: 1 501.01507 cents 3: 1 502.52038 cents 3: 1 525.42946 cents 3: 1 625.70180 cents 4: 1 574.29820 cents 4: 1 674.57054 cents 4: 1 697.47962 cents 4: 1 698.98493 cents 4: 1 708.97421 cents 4: 1 715.07789 cents 4: 1 730.61462 cents 5: 1 779.48335 cents 5: 1 786.85571 cents 5: 1 819.99071 cents 5: 1 882.52968 cents 5: 1 904.17009 cents 5: 1 905.43876 cents 5: 1 921.53171 cents 6: 1 987.44249 cents 6: 1 992.04086 cents 6: 1 993.54618 cents 6: 1 994.81485 cents 6: 1 1026.44453 cents 6: 1 1095.08718 cents 6: 1 1110.62391 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 208.0 413.1 502.5 709.0 882.5 987.4 1200.0 208.0 : 205.2 294.6 501.0 674.6 779.5 992.0 1200.0 413.1 : 89.4 295.8 469.4 574.3 786.9 994.8 1200.0 502.5 : 206.5 380.0 484.9 697.5 905.4 1110.6 1200.0 709.0 : 173.6 278.5 491.0 699.0 904.2 993.5 1200.0 882.5 : 104.9 317.5 525.4 730.6 820.0 1026.4 1200.0 987.4 : 212.6 420.5 625.7 715.1 921.5 1095.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 89.3761 .. 212.5575 cents 123.18142 cents 89.37609 cents 2: 278.4683 .. 420.5166 cents 142.04836 cents 65.91078 cents 3: 469.3854 .. 625.7018 cents 156.31642 cents 48.86874 cents 4: 574.2982 .. 730.6146 cents 156.31642 cents -51.40360 cents 5: 779.4834 .. 921.5317 cents 142.04836 cents 48.86874 cents 6: 987.4425 .. 1110.6239 cents 123.18142 cents 65.91078 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 89.37609 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 212.55751 cents Average / Smallest step : 1.918059 Largest / Average step : 1.239919 Largest / Smallest step : 2.378237 Median interval of one step : 205.18515 cents, amount: 1 Least squares average step : 172.25006 cents, oct.: 1205.75045 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : FDAECBG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 48.86874 cents Scale diversity : 1.614587 Lumma stability : 0.340259 Lumma impropriety factor : 0.042836 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.26867 cents Number of recognisable fifths : 4, average 705.1292 cents Number of appreciable fifths : 3, average 701.8129 cents Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 134.6760 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 36.4305 c. M: 70.2872 c. Lebeng 10: 2 1 1 2 1 1 2 P D3 I SD: 31.7164 c. M: 53.1443 c. 11: 2 2 1 2 1 1 2 N D3 SD: 28.2910 c. M:-54.6622 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 10.5959 c. M:-17.4703 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 23: 4 4 2 4 3 2 4 N SD: 11.2314 c. M:-21.4606 c. 27: 5 4 2 5 4 2 5 N SD: 10.0031 c. M:-14.2631 c. 29: 5 5 2 5 4 3 5 N SD: 6.3667 c. M: 13.5642 c. 34: 6 6 2 6 5 3 6 N SD: 5.3873 c. M:-10.3851 c. 41: 7 7 3 7 6 4 7 N SD: 4.8892 c. M:-7.6795 c. 46: 8 8 3 8 7 4 8 N SD: 4.1690 c. M: 6.8682 c. 52: 9 9 4 9 7 5 9 N SD: 4.2768 c. M:-6.4104 c. 57: 10 10 4 10 8 5 10 N SD: 4.3104 c. M:-7.9083 c. 64: 11 11 5 11 9 6 11 N SD: 3.1870 c. M:-6.3075 c. 69: 12 12 5 12 10 6 12 N SD: 3.2291 c. M:-4.4268 c. 79: 14 13 6 14 11 7 14 N SD: 2.9173 c. M:-4.9498 c. 90: 16 15 7 15 13 8 16 N SD: 2.8893 c. M:-5.3742 c. 91: 16 15 7 16 13 8 16 N SD: 2.4865 c. M: 4.3531 c. 98: 17 17 7 17 14 9 17 N SD: 2.1389 c. M:-4.3942 c. 102: 18 17 8 17 15 9 18 N SD: 2.3271 c. M:-3.8056 c. 105: 18 18 8 18 15 9 19 N SD: 2.2578 c. M: 4.5853 c. 110: 19 19 8 19 16 10 19 N SD: 2.1413 c. M:-5.2848 c. 114: 20 19 9 19 17 10 20 N SD: 2.4404 c. M: 3.7110 c. 117: 20 20 9 20 17 10 21 N SD: 1.9354 c. M: 2.8879 c. 122: 21 21 9 21 18 10 22 N SD: 1.9063 c. M: 3.8359 c. 139: 24 24 10 24 20 12 25 N SD: 1.7325 c. M: 3.2698 c. 146: 25 25 11 25 21 13 26 N SD: 1.9834 c. M: 3.0776 c. 148: 26 25 11 25 22 13 26 N SD: 1.9147 c. M: 3.5688 c. 151: 26 26 11 26 22 13 27 N SD: 1.3267 c. M: 2.0120 c. 174: 30 30 13 30 25 15 31 N SD: 0.9156 c. M:-1.3706 c. 186: 32 32 14 32 27 16 33 N SD: 0.8653 c. M: 1.5075 c. 203: 35 35 15 35 29 18 36 N SD: 0.8279 c. M: 1.7415 c. 215: 37 37 16 37 31 19 38 N SD: 0.6359 c. M: 1.4475 c. 249: 43 43 18 43 36 22 44 N SD: 0.8369 c. M: 1.3156 c. 276: 48 47 21 47 40 24 49 N SD: 0.7757 c. M:-1.8274 c. 284: 49 49 21 49 41 25 50 N SD: 0.8092 c. M:-1.2899 c. 288: 50 49 22 49 42 25 51 N SD: 0.7861 c. M:-1.6463 c. 294: 51 50 22 51 42 26 52 N SD: 0.7067 c. M:-1.2299 c. 299: 52 51 22 52 43 26 53 N SD: 0.7023 c. M:-1.3937 c. 305: 53 52 23 52 44 27 54 N SD: 0.7170 c. M: 1.2182 c. 306: 53 52 23 53 44 27 54 N SD: 0.7149 c. M: 1.3796 c. 310: 54 53 23 53 45 27 55 N SD: 0.6779 c. M:-1.0731 c. 311: 54 53 23 54 45 27 55 N SD: 0.6891 c. M:-1.0716 c. 317: 55 54 24 54 46 28 56 N SD: 0.6554 c. M: 1.0878 c. 322: 56 55 24 55 47 28 57 N SD: 0.5944 c. M: 0.8997 c. 389: 67 67 29 67 56 34 69 N SD: 0.5630 c. M: 1.2753 c. 416: 72 71 31 72 60 36 74 N SD: 0.5475 c. M: 0.9040 c. 427: 74 73 32 73 62 37 76 N SD: 0.5266 c. M: 1.0256 c. 435: 75 75 32 75 63 38 77 N SD: 0.5109 c. M: 1.0626 c. 445: 77 76 33 77 64 39 79 N SD: 0.5519 c. M: 0.9474 c. 457: 79 78 34 79 66 40 81 N SD: 0.5506 c. M: 0.9887 c. 462: 80 79 34 80 67 40 82 N SD: 0.5462 c. M: 1.2217 c. 473: 82 81 35 81 69 41 84 N SD: 0.5267 c. M: 1.1518 c. 479: 83 82 36 82 69 42 85 N SD: 0.4978 c. M:-1.0287 c. 480: 83 82 36 83 69 42 85 N SD: 0.4903 c. M:-1.0258 c. 491: 85 84 37 84 71 43 87 N SD: 0.3894 c. M:-0.9419 c. 496: 86 85 37 85 72 43 88 N SD: 0.4217 c. M:-0.7054 c. 514: 89 88 38 89 74 45 91 N SD: 0.3683 c. M:-0.7534 c. 525: 91 90 39 90 76 46 93 N SD: 0.3075 c. M:-0.5700 c. 537: 93 92 40 92 78 47 95 N SD: 0.2953 c. M: 0.5943 c. 564: 98 96 42 97 82 49 100 N SD: 0.3894 c. M:-0.5515 c. 587: 102 100 44 101 85 51 104 N SD: 0.3811 c. M:-0.6049 c. 604: 105 103 45 104 87 53 107 N SD: 0.3178 c. M:-0.6501 c. 616: 107 105 46 106 89 54 109 N SD: 0.2169 c. M:-0.4824 c. 628: 109 107 47 108 91 55 111 N SD: 0.2812 c. M:-0.4556 c. 711: 123 122 53 122 103 62 126 N SD: 0.2674 c. M:-0.4332 c. 733: 127 125 55 126 106 64 130 N SD: 0.2558 c. M: 0.5931 c. 738: 128 126 55 127 107 64 131 N SD: 0.2438 c. M: 0.4506 c. 740: 128 127 55 127 107 65 131 N SD: 0.2877 c. M: 0.3916 c. 755: 131 129 56 130 109 66 134 N SD: 0.2682 c. M: 0.4226 c. 767: 133 131 57 132 111 67 136 N SD: 0.1858 c. M: 0.3040 c. 802: 139 137 60 138 116 70 142 N SD: 0.1782 c. M:-0.2633 c. 831: 144 142 62 143 120 73 147 N SD: 0.1479 c. M:-0.2831 c. 836: 145 143 62 144 121 73 148 N SD: 0.1684 c. M:-0.2528 c. 941: 163 161 70 162 136 82 167 N SD: 0.1645 c. M: 0.4074 c. 953: 165 163 71 164 138 83 169 N SD: 0.1483 c. M: 0.2442 c. 1051: 182 180 78 181 152 92 186 N SD: 0.1303 c. M:-0.1883 c. 1327: 230 227 99 228 192 116 235 N SD: 0.1152 c. M:-0.2679 c. 1478: 256 253 110 254 214 129 262 N SD: 0.1114 c. M: 0.1785 c. 1557: 270 266 116 268 225 136 276 N SD: 0.0893 c. M: 0.1593 c. 1569: 272 268 117 270 227 137 278 N SD: 0.0713 c. M: 0.1424 c. 1772: 307 303 132 305 256 155 314 N SD: 0.0720 c. M: 0.1369 c. 1784: 309 305 133 307 258 156 316 N SD: 0.0710 c. M: 0.1398 c. 1992: 345 341 148 343 288 174 353 N SD: 0.0870 c. M: 0.1278 c. 2082: 361 356 155 358 301 182 369 N SD: 0.0915 c. M: 0.1226 c. 2094: 363 358 156 360 303 183 371 N SD: 0.0531 c. M: 0.0917 c. 2309: 400 395 172 397 334 202 409 N SD: 0.0556 c. M: 0.0959 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 3.5096 cents 3 x x 4 x 5 x 6 S SD: 1.6116 cents 4 x 5 x 6 x 7:8 S SD: 8.3506 cents 5 x 6:7 x 8:9:10 S SD: 29.3627 cents 6:7 x 8:9:10:11:12 S SD: 14.3153 cents 7:8:9 x 11:12 x 14 SD: 18.9583 cents 8:9:10:11:12:13:14:16 S SD: 10.3781 cents 10:11:13 x 15:17:18:20 SD: 12.6869 cents 12:14:15:16:18:20:21:24 S SD: 9.6992 cents 13:15 x 17:20:22:23:26 SD: 12.0041 cents 14:16:18:19:21:23:25:28 SD: 7.2205 cents 15:17:19:20:23:25:27:30 SD: 6.3679 cents 18:20:23:24:27:30:32:36 SD: 4.3481 cents 26:29:33:35:39:43:46:52 SD: 3.7429 cents 30:34:38:40:45:50:53:60 SD: 1.8566 cents 48:54:61:64:72:80:85:96 SD: 1.3977 cents 63:71:80:84:95:105:111:126 SD: 1.2484 cents 71:80:90:95:107:118:126:142 SD: 1.0408 cents 77:87:98:103:116:128:136:154 SD: 0.9728 cents 95:107:121:127:143:158:168:190 SD: 0.9109 cents 101:114:128:135:152:168:179:202 SD: 0.7401 cents 125:141:159:167:188:208:221:250 SD: 0.6426 cents 134:151:170:179:202:223:237:268 SD: 0.3902 cents 164:185:208:219:247:273:290:328 SD: 0.3796 cents 211:238:268:282:318:351:373:422 SD: 0.3455 cents 259:292:329:346:390:431:458:518 SD: 0.2712 cents 312:352:396:417:470:519:552:624 SD: 0.2678 cents 320:361:406:428:482:533:566:640 SD: 0.2538 cents 330:372:419:441:497:549:584:660 SD: 0.2469 cents 338:381:429:452:509:563:598:676 SD: 0.1893 cents 415:468:527:555:625:691:734:830 SD: 0.1336 cents 516:582:655:690:777:859:913:1032 SD: 0.1322 cents 549:619:697:734:827:914:971:1098 SD: 0.0750 cents 579:653:735:774:872:964:1024:1158 SD: 0.0655 cents