Scala analysis: CD15_14_Morocco
Et je suis devenu amoureux - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (unknown maqam, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 194.389 cents 194.389075 2: 309.182 cents 309.181836 3: 490.677 cents 490.677053 4: 706.463 cents 706.462541 5: 888.863 cents 888.863182 6: 984.046 cents 984.045622 7: 1095.813 cents 1095.812852 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 104.1871 cents 104.1871 1: 194.3891 cents 194.3891 2: 114.7928 cents 114.7928 3: 181.4952 cents 181.4952 4: 215.7855 cents 215.7855 5: 182.4006 cents 182.4006 6: 95.1824 cents 95.1824 7: 111.7672 cents 111.7672 8: 104.1871 cents 104.1871
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.18244 cents 1: 1 104.18715 cents 1: 1 111.76723 cents 1: 1 114.79276 cents 1: 1 181.49522 cents 1: 1 182.40064 cents 1: 1 194.38907 cents 1: 1 215.78549 cents 2: 1 206.94967 cents 2: 1 215.95438 cents 2: 1 277.58308 cents 2: 1 296.28798 cents 2: 1 298.57622 cents 2: 1 309.18184 cents 2: 1 397.28071 cents 2: 1 398.18613 cents 3: 1 311.13682 cents 3: 1 389.35031 cents 3: 1 410.34345 cents 3: 1 413.36898 cents 3: 1 490.67705 cents 3: 1 493.36857 cents 3: 1 512.07347 cents 3: 1 579.68135 cents 4: 1 493.53746 cents 4: 1 505.52589 cents 4: 1 525.13621 cents 4: 1 594.86420 cents 4: 1 605.13580 cents 4: 1 674.86379 cents 4: 1 694.47411 cents 4: 1 706.46254 cents 5: 1 620.31865 cents 5: 1 687.92653 cents 5: 1 706.63143 cents 5: 1 709.32295 cents 5: 1 786.63102 cents 5: 1 789.65655 cents 5: 1 810.64969 cents 5: 1 888.86318 cents 6: 1 801.81387 cents 6: 1 802.71930 cents 6: 1 890.81816 cents 6: 1 901.42378 cents 6: 1 903.71202 cents 6: 1 922.41692 cents 6: 1 984.04562 cents 6: 1 993.05033 cents 7: 1 984.21451 cents 7: 1 1005.61093 cents 7: 1 1017.59936 cents 7: 1 1018.50478 cents 7: 1 1085.20724 cents 7: 1 1088.23277 cents 7: 1 1095.81285 cents 7: 1 1104.81756 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 : 194.4 309.2 490.7 706.5 888.9 984.0 1095.8 1200.0 194.4 : 114.8 296.3 512.1 694.5 789.7 901.4 1005.6 1200.0 309.2 : 181.5 397.3 579.7 674.9 786.6 890.8 1085.2 1200.0 490.7 : 215.8 398.2 493.4 605.1 709.3 903.7 1018.5 1200.0 706.5 : 182.4 277.6 389.4 493.5 687.9 802.7 984.2 1200.0 888.9 : 95.2 206.9 311.1 505.5 620.3 801.8 1017.6 1200.0 984.0 : 111.8 216.0 410.3 525.1 706.6 922.4 1104.8 1200.0 1095.8: 104.2 298.6 413.4 594.9 810.6 993.1 1088.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.1824 .. 215.7855 cents 120.60305 cents 95.18244 cents 2: 206.9497 .. 398.1861 cents 191.23646 cents -8.83582 cents 3: 311.1368 .. 579.6813 cents 268.54453 cents -87.04931 cents 4: 493.5375 .. 706.4625 cents 212.92508 cents -86.14389 cents 5: 620.3187 .. 888.8632 cents 268.54453 cents -86.14389 cents 6: 801.8139 .. 993.0503 cents 191.23646 cents -87.04931 cents 7: 984.2145 .. 1104.8176 cents 120.60305 cents -8.83582 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 95.18244 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 215.78549 cents Average / Smallest step : 1.575921 Largest / Average step : 1.438570 Largest / Smallest step : 2.267072 Median interval of one step : 148.14399 cents, amount: 0 Least squares average step : 160.44075 cents, oct.: 1283.52603 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : GDEHFACB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.16889 cents Scale diversity : 1.464691 Lumma stability : 0.158637 Lumma impropriety factor : 0.303382 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 : 0.16889 cents Number of recognisable fifths : 5, average 700.9635 cents Number of appreciable fifths : 4, average 704.2228 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 2 0 1 1 N T3 SD: 55.1476 c. M: 106.4625 c. 9: 1 1 2 1 2 0 1 1 N SD: 42.3342 c. M: 61.0557 c. 10: 2 1 1 2 1 1 1 1 P D3 S SD: 31.9686 c. M:-50.8182 c. 11: 2 1 1 2 2 1 1 1 N D3 SD: 29.2149 c. M: 54.3134 c. 12: 2 1 2 2 2 1 1 1 N SD: 8.9483 c. M:-15.9544 c. Raga Mian Ki Malhar, Charju Ki Malhar, Bahar, Barwa, Lankadahan Sarang, Sindhura 27: 4 3 4 5 4 2 3 2 N SD: 8.4984 c. M: 16.6113 c. 32: 5 3 5 6 5 2 3 3 N SD: 7.5272 c. M:-11.1368 c. 34: 6 3 5 6 5 3 3 3 N SD: 7.4880 c. M:-17.3756 c. 39: 6 4 6 7 6 3 4 3 N SD: 5.6483 c. M:-11.8795 c. 46: 7 5 7 8 7 4 4 4 N SD: 5.4688 c. M: 11.7804 c. 49: 8 5 7 9 7 4 5 4 N SD: 5.1526 c. M:-9.1855 c. 51: 8 5 8 9 8 4 5 4 N SD: 5.0927 c. M:-10.0695 c. 54: 9 5 8 10 8 4 5 5 N SD: 4.2901 c. M: 6.9240 c. 61: 10 6 9 11 9 5 6 5 N SD: 3.3164 c. M:-5.8265 c. 66: 11 6 10 12 10 5 6 6 N SD: 2.9926 c. M:-5.6109 c. 73: 12 7 11 13 11 6 7 6 N SD: 2.7795 c. M:-5.5570 c. 85: 14 8 13 15 13 7 8 7 N SD: 2.9873 c. M:-5.3636 c. 88: 14 9 13 16 13 7 8 8 N SD: 3.0449 c. M: 4.9038 c. 93: 15 9 14 17 14 7 9 8 N SD: 1.8038 c. M: 3.4005 c. 105: 17 10 16 19 16 8 10 9 N SD: 1.3765 c. M:-2.5654 c. 166: 27 16 25 30 25 13 16 14 N SD: 1.4949 c. M:-2.9823 c. 171: 28 16 26 31 26 13 16 15 N SD: 1.5613 c. M:-2.3649 c. 173: 28 17 26 31 26 14 16 15 N SD: 1.3706 c. M:-2.9569 c. 178: 29 17 27 32 27 14 17 15 N SD: 1.4444 c. M:-3.0636 c. 185: 30 18 28 33 28 15 17 16 N SD: 1.3304 c. M:-2.2959 c. 205: 33 20 31 37 31 16 19 18 N SD: 1.0959 c. M:-1.8301 c. 217: 35 21 33 39 33 17 20 19 N SD: 1.0025 c. M:-1.4888 c. 228: 37 22 34 41 35 18 21 20 N SD: 0.8925 c. M:-1.3445 c. 265: 43 25 40 48 40 21 25 23 N SD: 1.0013 c. M: 1.6204 c. 267: 43 26 40 48 41 21 25 23 N SD: 0.8098 c. M: 1.1306 c. 277: 45 26 42 50 42 22 26 24 N SD: 0.8191 c. M: 1.6006 c. 278: 45 27 42 50 42 22 26 24 N SD: 0.9478 c. M:-1.6095 c. 279: 45 27 42 50 43 22 26 24 N SD: 0.8749 c. M:-1.4594 c. 284: 46 27 43 51 43 23 26 25 N SD: 0.8792 c. M: 1.5392 c. 289: 47 27 44 52 44 23 27 25 N SD: 0.8159 c. M: 1.9154 c. 290: 47 28 44 52 44 23 27 25 N SD: 0.9634 c. M:-1.7367 c. 296: 48 28 45 53 45 24 27 26 N SD: 0.8699 c. M: 1.2183 c. 301: 49 29 45 54 46 24 28 26 N SD: 0.8383 c. M:-1.7816 c. 311: 50 30 47 56 47 25 29 27 N SD: 0.7839 c. M: 1.4630 c. 321: 52 31 48 58 49 25 30 28 N SD: 0.6940 c. M:-1.0985 c. 323: 52 31 49 58 49 26 30 28 N SD: 0.6764 c. M: 1.2002 c. 333: 54 32 50 60 51 26 31 29 N SD: 0.5718 c. M:-1.2269 c. 377: 61 36 57 68 57 30 35 33 N SD: 0.5138 c. M: 0.8526 c. 389: 63 37 59 70 59 31 36 34 N SD: 0.3872 c. M: 0.6985 c. 450: 73 43 68 81 68 36 42 39 N SD: 0.3398 c. M: 0.8632 c. 462: 75 44 70 83 70 37 43 40 N SD: 0.3086 c. M: 0.5515 c. 555: 90 53 84 100 84 44 52 48 N SD: 0.2864 c. M:-0.5645 c. 567: 92 54 86 102 86 45 53 49 N SD: 0.2870 c. M:-0.4834 c. 656: 106 63 99 118 100 52 61 57 N SD: 0.2742 c. M: 0.4866 c. 668: 108 64 101 120 102 53 62 58 N SD: 0.3064 c. M: 0.4745 c. 690: 112 66 104 124 105 55 64 60 N SD: 0.2843 c. M:-0.3935 c. 717: 116 69 108 129 109 57 67 62 N SD: 0.2709 c. M:-0.4416 c. 722: 117 69 109 130 110 57 67 63 N SD: 0.2622 c. M: 0.5220 c. 729: 118 70 110 131 111 58 68 63 N SD: 0.2602 c. M:-0.4834 c. 761: 123 73 115 137 116 60 71 66 N SD: 0.2590 c. M:-0.4929 c. 783: 127 75 118 141 119 62 73 68 N SD: 0.1958 c. M:-0.3967 c. 795: 129 76 120 143 121 63 74 69 N SD: 0.1716 c. M:-0.3279 c. 888: 144 85 134 160 135 70 83 77 N SD: 0.2283 c. M:-0.3260 c. 900: 146 86 136 162 137 71 84 78 N SD: 0.2236 c. M:-0.4702 c. 944: 153 90 143 170 143 75 88 82 N SD: 0.1962 c. M:-0.3171 c. 956: 155 91 145 172 145 76 89 83 N SD: 0.1878 c. M: 0.3952 c. 1106: 179 106 167 199 168 88 103 96 N SD: 0.1526 c. M: 0.2611 c. 1118: 181 107 169 201 170 89 104 97 N SD: 0.1369 c. M:-0.2120 c. 1184: 192 113 179 213 180 94 110 103 N SD: 0.1195 c. M:-0.2055 c. 1211: 196 116 183 218 184 96 113 105 N SD: 0.1043 c. M: 0.1733 c. 1223: 198 117 185 220 186 97 114 106 N SD: 0.1007 c. M:-0.1806 c. 1600: 259 153 242 288 243 127 149 139 N SD: 0.1140 c. M: 0.1818 c. 1612: 261 154 244 290 245 128 150 140 N SD: 0.1060 c. M: 0.2488 c. 1673: 271 160 253 301 254 133 156 145 N SD: 0.0935 c. M:-0.1824 c. 1785: 289 171 270 321 271 142 166 155 N SD: 0.0930 c. M:-0.1561 c. 2006: 325 192 303 361 305 159 187 174 N SD: 0.0759 c. M: 0.1486 c. 2018: 327 193 305 363 307 160 188 175 N SD: 0.0845 c. M:-0.1358 c. 2118: 343 203 320 381 322 168 197 184 N SD: 0.0822 c. M:-0.1666 c. 2395: 388 229 362 431 364 190 223 208 N SD: 0.0580 c. M: 0.1551 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 2.2538 cents 3 x x 4 x 5 x x 6 S SD: 2.8786 cents 4 x 5 x 6 x 7 x 8 S SD: 19.6871 cents 5 x 6:7 x 8:9 x 10 S SD: 24.7003 cents 6 x 7:8:9:10 x 11:12 S SD: 10.5970 cents 7:8 x 9:11:12 x 13:14 SD: 18.8304 cents 8:9:10:11:12:13:14:15:16 H SD: 13.8983 cents 9:10:11:12:14:15:16:17:18 S SD: 9.0732 cents 10:11:12:13:15:17:18:19:20 SD: 8.3892 cents 15:17:18:20:23:25:26:28:30 SD: 6.8257 cents 16:18:19:21:24:27:28:30:32 SD: 4.3671 cents 24:27:29:32:36:40:42:45:48 SD: 3.5666 cents 25:28:30:33:38:42:44:47:50 SD: 3.0838 cents 34:38:41:45:51:57:60:64:68 SD: 2.1963 cents 42:47:50:56:63:70:74:79:84 SD: 1.6065 cents 51:57:61:68:77:85:90:96:102 SD: 1.4005 cents 52:58:62:69:78:87:92:98:104 SD: 1.1965 cents 67:75:80:89:101:112:118:126:134 SD: 0.8533 cents 76:85:91:101:114:127:134:143:152 SD: 0.7687 cents 101:113:121:134:152:169:178:190:202 SD: 0.7274 cents 103:115:123:137:155:172:182:194:206 SD: 0.7034 cents 119:133:142:158:179:199:210:224:238 SD: 0.5150 cents 143:160:171:190:215:239:252:269:286 SD: 0.4966 cents 153:171:183:203:230:256:270:288:306 SD: 0.4351 cents 195:218:233:259:293:326:344:367:390 SD: 0.3786 cents 204:228:244:271:307:341:360:384:408 SD: 0.3475 cents 250:280:299:332:376:418:441:471:500 SD: 0.3439 cents 260:291:311:345:391:434:459:490:520 SD: 0.3372 cents 277:310:331:368:417:463:489:522:554 SD: 0.3262 cents 286:320:342:380:430:478:505:539:572 SD: 0.2499 cents 302:338:361:401:454:505:533:569:604 SD: 0.2303 cents 353:395:422:469:531:590:623:665:706 SD: 0.2004 cents 379:424:453:503:570:633:669:714:758 SD: 0.1698 cents 455:509:544:604:684:760:803:857:910 SD: 0.1573 cents 470:526:562:624:707:785:830:885:940 SD: 0.1510 cents 486:544:581:645:731:812:858:915:972 SD: 0.1466 cents 522:584:624:693:785:872:922:983:1044 SD: 0.1255 cents 589:659:704:782:886:984:1040:1109:1178 SD: 0.0993 cents