Scala analysis: CD15_20_Morocco
J'ai passé ma vie à t'aimer - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (istihlal, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 202.261 cents 202.261357 2: 364.277 cents 364.277100 3: 499.441 cents 499.440856 4: 712.450 cents 712.449806 5: 883.064 cents 883.063572 6: 992.551 cents 992.551070 7: 1068.737 cents 1068.736807 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 131.2632 cents 131.2632 1: 202.2614 cents 202.2614 2: 162.0157 cents 162.0157 3: 135.1638 cents 135.1638 4: 213.0089 cents 213.0089 5: 170.6138 cents 170.6138 6: 109.4875 cents 109.4875 7: 76.1857 cents 76.1857 8: 131.2632 cents 131.2632
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 76.18574 cents 1: 1 109.48750 cents 1: 1 131.26319 cents 1: 1 135.16376 cents 1: 1 162.01574 cents 1: 1 170.61377 cents 1: 1 202.26136 cents 1: 1 213.00895 cents 2: 1 185.67324 cents 2: 1 207.44893 cents 2: 1 280.10126 cents 2: 1 297.17950 cents 2: 1 333.52455 cents 2: 1 348.17271 cents 2: 1 364.27710 cents 2: 1 383.62272 cents 3: 1 316.93643 cents 3: 1 356.28700 cents 3: 1 409.71029 cents 3: 1 493.11021 cents 3: 1 495.54029 cents 3: 1 499.44086 cents 3: 1 510.18845 cents 3: 1 518.78647 cents 4: 1 487.55019 cents 4: 1 519.19778 cents 4: 1 569.29595 cents 4: 1 571.72603 cents 4: 1 628.27397 cents 4: 1 630.70405 cents 4: 1 680.80221 cents 4: 1 712.44981 cents 5: 1 681.21353 cents 5: 1 689.81155 cents 5: 1 700.55914 cents 5: 1 704.45971 cents 5: 1 706.88979 cents 5: 1 790.28971 cents 5: 1 843.71300 cents 5: 1 883.06357 cents 6: 1 816.37728 cents 6: 1 835.72290 cents 6: 1 851.82729 cents 6: 1 866.47545 cents 6: 1 902.82050 cents 6: 1 919.89874 cents 6: 1 992.55107 cents 6: 1 1014.32677 cents 7: 1 986.99105 cents 7: 1 997.73864 cents 7: 1 1029.38623 cents 7: 1 1037.98426 cents 7: 1 1064.83624 cents 7: 1 1068.73681 cents 7: 1 1090.51250 cents 7: 1 1123.81426 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 : 202.3 364.3 499.4 712.4 883.1 992.6 1068.7 1200.0 202.3 : 162.0 297.2 510.2 680.8 790.3 866.5 997.7 1200.0 364.3 : 135.2 348.2 518.8 628.3 704.5 835.7 1038.0 1200.0 499.4 : 213.0 383.6 493.1 569.3 700.6 902.8 1064.8 1200.0 712.4 : 170.6 280.1 356.3 487.6 689.8 851.8 987.0 1200.0 883.1 : 109.5 185.7 316.9 519.2 681.2 816.4 1029.4 1200.0 992.6 : 76.2 207.4 409.7 571.7 706.9 919.9 1090.5 1200.0 1068.7: 131.3 333.5 495.5 630.7 843.7 1014.3 1123.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 76.1857 .. 213.0089 cents 136.82321 cents 76.18574 cents 2: 185.6732 .. 383.6227 cents 197.94948 cents -27.33572 cents 3: 316.9364 .. 518.7865 cents 201.85004 cents -66.68629 cents 4: 487.5502 .. 712.4498 cents 224.89961 cents -31.23628 cents 5: 681.2135 .. 883.0636 cents 201.85004 cents -31.23628 cents 6: 816.3773 .. 1014.3268 cents 197.94948 cents -66.68629 cents 7: 986.9910 .. 1123.8143 cents 136.82321 cents -27.33572 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 76.18574 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 213.00895 cents Average / Smallest step : 1.968872 Largest / Average step : 1.420060 Largest / Smallest step : 2.795916 Median interval of one step : 148.58975 cents, amount: 0 Least squares average step : 160.44470 cents, oct.: 1283.55762 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : GEDHFBAC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.41131 cents Scale diversity : 1.596578 Lumma stability : 0.126976 Lumma impropriety factor : 0.208764 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 : 0.41131 cents Number of recognisable fifths : 5, average 702.8340 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 2 0 1 1 N T3 SD: 62.4057 c. M: 112.4498 c. 9: 1 1 1 2 1 1 1 1 P M ME SD: 67.7071 c. M: 99.4409 c. 10: 2 1 1 2 1 1 1 1 P D3 S SD: 24.7950 c. M: 43.0636 c. 12: 2 2 1 2 2 1 1 1 N D3 SD: 18.5616 c. M:-35.7229 c. Genus diatonicum, Dominant Bebop, Raga Khamaj, Alhaiya Bilaval, Bihagara, Desh Malhar (Des), Devagandhari, Lankeshree, Malagunji, Nat Bihag, Nat Malhar, Maqam Shawq Awir, Gregorian nr.6, Chinese Eight-Tone, Rast: Greece, Ionian/Mixolydian mixed 17: 3 2 2 3 3 1 1 2 N SD: 14.1563 c. M:-34.5835 c. 19: 3 3 2 3 3 2 1 2 N G SD: 11.5936 c. M:-17.9752 c. 24: 4 3 3 4 4 2 1 3 N SD: 11.4981 c. M: 18.7368 c. Maqam Rast, Dilkashidah, Dilnishin 27: 4 4 3 5 4 2 2 3 N SD: 11.4298 c. M: 24.4836 c. 29: 5 4 3 5 4 3 2 3 N SD: 7.3049 c. M: 14.0981 c. 34: 6 4 4 6 5 3 2 4 N SD: 7.1387 c. M: 11.3359 c. 44: 7 6 5 8 6 4 3 5 N SD: 8.3344 c. M: 11.3523 c. 45: 8 6 5 8 6 4 3 5 N SD: 6.7279 c. M:-11.0720 c. 46: 8 6 5 8 7 4 3 5 N SD: 4.1785 c. M: 8.1020 c. 64: 11 8 8 11 9 6 4 7 N SD: 4.0534 c. M: 8.0271 c. 65: 11 9 7 12 9 6 4 7 N SD: 3.8073 c. M:-7.5502 c. 67: 11 9 8 12 9 6 5 7 N SD: 5.0573 c. M: 7.4764 c. 69: 12 9 8 12 10 6 5 7 N SD: 4.6655 c. M:-9.5241 c. 72: 12 10 8 13 10 7 4 8 N SD: 3.3310 c. M:-7.4489 c. 76: 13 10 9 13 11 7 5 8 N SD: 3.1311 c. M:-5.8223 c. 79: 13 11 9 14 11 7 5 9 N SD: 3.3458 c. M: 5.4457 c. 82: 14 11 9 15 11 8 5 9 N SD: 2.8766 c. M: 5.0148 c. 91: 15 13 10 16 13 8 6 10 N SD: 2.7479 c. M:-4.9537 c. 99: 17 13 11 18 14 9 6 11 N SD: 2.1694 c. M:-3.7992 c. 111: 19 15 12 20 16 10 7 12 N SD: 2.3633 c. M:-3.4229 c. 118: 20 16 13 21 17 11 7 13 N SD: 1.8175 c. M:-4.0591 c. 125: 21 17 14 22 18 11 8 14 N SD: 1.9006 c. M: 3.7511 c. 135: 23 18 15 24 19 13 8 15 N SD: 2.0016 c. M: 3.0636 c. 145: 24 20 16 26 21 13 9 16 N SD: 1.9299 c. M: 3.6407 c. 148: 25 20 17 26 21 13 10 16 N SD: 1.8195 c. M: 3.3619 c. 152: 26 20 17 27 22 14 9 17 N SD: 2.0322 c. M:-3.0018 c. 154: 26 21 17 27 22 14 10 17 N SD: 2.0106 c. M: 3.3589 c. 155: 26 21 17 28 22 14 10 17 N SD: 1.5678 c. M: 3.9570 c. 156: 26 21 18 28 22 14 10 17 N SD: 1.7411 c. M:-2.9348 c. 158: 27 21 18 28 22 15 10 17 N SD: 1.8692 c. M:-2.8019 c. 162: 27 22 18 29 23 15 10 18 N SD: 1.7787 c. M: 3.1446 c. 164: 28 22 18 29 24 15 10 18 N SD: 2.0072 c. M: 2.6937 c. 165: 28 22 19 29 23 15 11 18 N SD: 1.9207 c. M: 3.4602 c. 167: 28 23 19 29 24 15 11 18 N SD: 1.7628 c. M:-3.5532 c. 168: 28 23 19 30 24 15 11 18 N SD: 1.7016 c. M:-2.6918 c. 173: 29 24 19 31 24 16 11 19 N SD: 1.6483 c. M:-3.3530 c. 174: 29 24 19 31 25 16 11 19 N SD: 1.5764 c. M: 2.8891 c. 178: 30 24 20 32 25 16 12 19 N SD: 1.4779 c. M:-3.1733 c. 185: 31 25 21 33 26 17 12 20 N SD: 0.9200 c. M:-1.5335 c. 219: 37 29 25 39 31 20 14 24 N SD: 1.0751 c. M: 2.6333 c. 231: 39 31 26 41 33 21 15 25 N SD: 0.6811 c. M:-1.3931 c. 254: 43 34 29 45 36 23 16 28 N SD: 0.7991 c. M:-1.3465 c. 266: 45 36 30 47 38 24 17 29 N SD: 0.8053 c. M:-1.3110 c. 273: 46 37 31 48 39 25 17 30 N SD: 0.7499 c. M:-1.6580 c. 283: 48 38 32 50 40 26 18 31 N SD: 0.7004 c. M:-1.2722 c. 303: 51 41 34 54 43 28 19 33 N SD: 0.6184 c. M:-1.5083 c. 310: 52 42 35 55 44 28 20 34 N SD: 0.7084 c. M: 1.5833 c. 322: 54 44 36 57 46 29 21 35 N SD: 0.7596 c. M: 1.2467 c. 330: 56 44 37 59 47 30 21 36 N SD: 0.7456 c. M:-1.3750 c. 337: 57 45 38 60 48 31 21 37 N SD: 0.6773 c. M: 1.0724 c. 372: 63 50 42 66 53 34 23 41 N SD: 0.7195 c. M:-0.9973 c. 375: 63 51 42 67 53 34 24 41 N SD: 0.5498 c. M:-1.1502 c. 409: 69 55 46 73 58 37 26 45 N SD: 0.5344 c. M: 0.8640 c. 416: 70 56 47 74 59 38 26 46 N SD: 0.6308 c. M: 1.4291 c. 421: 71 57 47 75 60 38 27 46 N SD: 0.4279 c. M: 0.6285 c. 428: 72 58 48 76 61 39 27 47 N SD: 0.2969 c. M: 0.5125 c. 613: 103 83 69 109 87 56 39 67 N SD: 0.2631 c. M: 0.6300 c. 659: 111 89 74 117 94 60 42 72 N SD: 0.2610 c. M: 0.5031 c. 711: 120 96 80 126 101 65 45 78 N SD: 0.2538 c. M: 0.3824 c. 788: 133 106 89 140 112 72 50 86 N SD: 0.2446 c. M:-0.3423 c. 867: 146 117 98 154 123 79 55 95 N SD: 0.2095 c. M:-0.3530 c. 879: 148 119 99 156 125 80 56 96 N SD: 0.1830 c. M:-0.2280 c. 896: 151 121 101 159 127 82 57 98 N SD: 0.1806 c. M: 0.4743 c. 913: 154 123 103 162 130 83 58 100 N SD: 0.1489 c. M: 0.2181 c. 1216: 205 164 137 216 173 111 77 133 N SD: 0.1131 c. M:-0.2121 c. 1470: 248 198 166 261 209 134 93 161 N SD: 0.1643 c. M:-0.2033 c. 1482: 250 200 167 263 211 135 94 162 N SD: 0.1654 c. M:-0.3372 c. 1489: 251 201 168 264 212 136 94 163 N SD: 0.1642 c. M:-0.3301 c. 1492: 251 202 168 265 212 136 95 163 N SD: 0.1612 c. M: 0.3847 c. 1499: 253 202 169 266 213 137 95 164 N SD: 0.1138 c. M:-0.2737 c. 1526: 257 206 172 271 217 139 97 167 N SD: 0.1115 c. M: 0.1880 c. 1538: 259 208 173 273 219 140 98 168 N SD: 0.1261 c. M:-0.1839 c. 1590: 268 215 179 282 226 145 101 174 N SD: 0.1179 c. M:-0.2512 c. 1620: 273 219 182 288 230 148 103 177 N SD: 0.1214 c. M: 0.1816 c. 1644: 277 222 185 292 234 150 104 180 N SD: 0.1104 c. M: 0.1708 c. 1684: 284 227 190 299 239 154 107 184 N SD: 0.1207 c. M: 0.1657 c. 1775: 299 240 200 315 252 162 113 194 N SD: 0.1162 c. M:-0.1648 c. 1792: 302 242 202 318 255 163 114 196 N SD: 0.0963 c. M:-0.1954 c. 1821: 307 246 205 323 259 166 116 199 N SD: 0.0921 c. M:-0.1381 c. 1927: 325 260 217 342 274 176 122 211 N SD: 0.0739 c. M: 0.1328 c. 2112: 356 285 238 375 300 193 134 231 N SD: 0.0547 c. M: 0.1090 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: 5.2474 cents 3 x x 4 x 5 x x 6 S SD: 0.6347 cents 4 x 5 x 6 x 7 x 8 S SD: 8.5097 cents 5 x 6:7 x 8:9 x 10 S SD: 24.2543 cents 6:7 x 8:9:10 x 11:12 S SD: 11.3816 cents 7:8 x 9:11:12 x 13:14 SD: 18.5585 cents 8:9:10:11:12:13:14:15:16 H SD: 9.7174 cents 9:10:11:12:14:15:16:17:18 S SD: 8.3774 cents 11:12:14:15:17:18 x 20:22 SD: 14.7558 cents 12:13:15:16:18:20:21:22:24 SD: 9.3490 cents 13:15:16:17:20:22:23:24:26 SD: 9.0778 cents 14:16:17:19:21:23:25:26:28 SD: 7.1663 cents 16:18:20:21:24:27:28:30:32 S SD: 6.7130 cents 17:19:21:23:26:28:30:32:34 SD: 6.0560 cents 18:20:22:24:27:30:32:33:36 S SD: 4.2949 cents 26:29:32:35:39:43:46:48:52 SD: 3.4465 cents 30:34:37:40:45:50:53:56:60 SD: 2.8409 cents 33:37:41:44:50:55:59:61:66 SD: 2.5181 cents 39:44:48:52:59:65:69:72:78 SD: 1.6028 cents 57:64:70:76:86:95:101:106:114 SD: 1.3323 cents 63:71:78:84:95:105:112:117:126 SD: 1.1095 cents 81:91:100:108:122:135:144:150:162 SD: 0.7106 cents 90:101:111:120:136:150:160:167:180 SD: 0.7063 cents 98:110:121:131:148:163:174:182:196 SD: 0.7062 cents 120:135:148:160:181:200:213:222:240 SD: 0.5999 cents 128:144:158:171:193:213:227:237:256 SD: 0.5075 cents 137:154:169:183:207:228:243:254:274 SD: 0.3951 cents 200:225:247:267:302:333:355:371:400 SD: 0.3407 cents 218:245:269:291:329:363:387:404:436 SD: 0.1845 cents 371:417:458:495:560:618:658:688:742 SD: 0.1260 cents 452:508:558:603:682:753:802:838:904 SD: 0.1126 cents 589:662:727:786:889:981:1045:1092:1178 SD: 0.0408 cents