Scala analysis: CD15_10_Morocco
Toi au regard étincelant - 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: 110.019 cents 110.018807 2: 494.318 cents 494.317940 3: 717.452 cents 717.451870 4: 891.962 cents 891.962461 5: 1001.072 cents 1001.072430 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 198.9276 cents 198.9276 1: 110.0188 cents 110.0188 2: 384.2991 cents 384.2991 3: 223.1339 cents 223.1339 4: 174.5106 cents 174.5106 5: 109.1100 cents 109.1100 6: 198.9276 cents 198.9276
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.10997 cents 1: 1 110.01881 cents 1: 1 174.51059 cents 1: 1 198.92757 cents 1: 1 223.13393 cents 1: 1 384.29913 cents 2: 1 283.62056 cents 2: 1 308.03754 cents 2: 1 308.94638 cents 2: 1 397.64452 cents 2: 1 494.31794 cents 2: 1 607.43306 cents 3: 1 418.05635 cents 3: 1 482.54813 cents 3: 1 506.75449 cents 3: 1 693.24551 cents 3: 1 717.45187 cents 3: 1 781.94365 cents 4: 1 592.56694 cents 4: 1 705.68206 cents 4: 1 802.35548 cents 4: 1 891.05362 cents 4: 1 891.96246 cents 4: 1 916.37944 cents 5: 1 815.70087 cents 5: 1 976.86607 cents 5: 1 1001.07243 cents 5: 1 1025.48941 cents 5: 1 1089.98119 cents 5: 1 1090.89003 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 110.0 494.3 717.5 892.0 1001.1 1200.0 110.0 : 384.3 607.4 781.9 891.1 1090.0 1200.0 494.3 : 223.1 397.6 506.8 705.7 815.7 1200.0 717.5 : 174.5 283.6 482.5 592.6 976.9 1200.0 892.0 : 109.1 308.0 418.1 802.4 1025.5 1200.0 1001.1: 198.9 308.9 693.2 916.4 1090.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.1100 .. 384.2991 cents 275.18916 cents 109.10997 cents 2: 283.6206 .. 607.4331 cents 323.81250 cents -100.67857 cents 3: 418.0563 .. 781.9437 cents 363.88731 cents -189.37672 cents 4: 592.5669 .. 916.3794 cents 323.81250 cents -189.37672 cents 5: 815.7009 .. 1090.8900 cents 275.18916 cents -100.67857 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 109.10997 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 384.29913 cents Average / Smallest step : 1.833013 Largest / Average step : 1.921496 Largest / Smallest step : 3.522127 Median interval of one step : 186.71908 cents, amount: 0 Least squares average step : 209.05739 cents, oct.: 1254.34433 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BFECAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 11.76981 cents Scale diversity : 1.617317 Lumma stability : 0.181850 Lumma impropriety factor : 0.471037 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.90884 cents Number of recognisable fifths : 3, average 705.4598 cents Number of appreciable fifths : 2, average 699.4638 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 2 1 1 1 1 N T3 SD: 84.9050 c. M: 117.4519 c. 7: 1 2 1 1 1 1 P M ME SD: 34.5103 c. M:-61.4098 c. 8: 1 2 2 1 1 1 N D3 S SD: 34.3523 c. M:-48.9276 c. 10: 1 3 2 1 1 2 N SD: 27.9826 c. M: 51.9625 c. 12: 1 4 2 2 1 2 N SD: 9.1559 c. M: 17.4519 c. Raga Rasavali 30: 3 9 6 4 3 5 N SD: 8.7118 c. M: 14.3179 c. 31: 3 10 6 4 3 5 N SD: 8.8832 c. M:-18.0320 c. 32: 3 10 6 5 3 5 N SD: 6.7374 c. M:-11.4276 c. 42: 4 13 8 6 4 7 N SD: 4.8724 c. M: 8.6037 c. 43: 4 14 8 6 4 7 N SD: 4.9453 c. M:-8.1295 c. 54: 5 17 10 8 5 9 N SD: 3.6849 c. M: 6.3408 c. 55: 5 18 10 8 5 9 N SD: 3.5789 c. M:-7.5002 c. 65: 6 21 12 9 6 11 N SD: 3.5398 c. M: 5.8086 c. 75: 7 24 14 11 7 12 N SD: 3.5949 c. M:-6.9276 c. 77: 7 25 14 11 7 13 N SD: 2.8046 c. M:-4.3834 c. 78: 7 25 15 11 7 13 N SD: 2.6572 c. M:-5.6251 c. 85: 8 27 16 12 8 14 N SD: 1.9672 c. M:-2.9224 c. 90: 8 29 17 13 8 15 N SD: 1.9030 c. M: 3.3521 c. 97: 9 31 18 14 9 16 N SD: 0.8707 c. M:-1.3214 c. 187: 17 60 35 27 17 31 N SD: 0.6456 c. M:-1.2647 c. 199: 18 64 37 29 18 33 N SD: 0.6423 c. M: 1.4761 c. 206: 19 66 38 30 19 34 N SD: 0.7376 c. M: 0.9470 c. 241: 22 77 45 35 22 40 N SD: 0.6852 c. M: 1.3719 c. 284: 26 91 53 41 26 47 N SD: 0.4178 c. M:-0.8580 c. 296: 27 95 55 43 27 49 N SD: 0.2845 c. M: 0.5593 c. 393: 36 126 73 57 36 65 N SD: 0.2800 c. M:-0.4543 c. 537: 49 172 100 78 49 89 N SD: 0.3224 c. M: 0.5216 c. 580: 53 186 108 84 53 96 N SD: 0.3000 c. M:-0.4792 c. 634: 58 203 118 92 58 105 N SD: 0.2680 c. M: 0.4798 c. 646: 59 207 120 94 59 107 N SD: 0.2967 c. M: 0.4240 c. 677: 62 217 126 98 62 112 N SD: 0.3025 c. M:-0.4211 c. 689: 63 221 128 100 63 114 N SD: 0.2566 c. M:-0.3789 c. 694: 64 222 129 101 63 115 N SD: 0.3016 c. M:-0.6440 c. 706: 65 226 131 103 64 117 N SD: 0.2852 c. M:-0.4628 c. 729: 67 233 136 106 66 121 N SD: 0.2836 c. M: 0.4908 c. 731: 67 234 136 106 67 121 N SD: 0.2805 c. M: 0.5808 c. 741: 68 237 138 108 67 123 N SD: 0.2427 c. M: 0.3908 c. 784: 72 251 146 114 71 130 N SD: 0.2429 c. M:-0.4053 c. 796: 73 255 148 116 72 132 N SD: 0.2228 c. M:-0.4999 c. 838: 77 268 156 122 76 139 N SD: 0.1738 c. M: 0.2845 c. 850: 78 272 158 124 77 141 N SD: 0.1903 c. M: 0.2754 c. 881: 81 282 164 128 80 146 N SD: 0.2210 c. M:-0.3688 c. 893: 82 286 166 130 81 148 N SD: 0.1746 c. M:-0.3108 c. 935: 86 299 174 136 85 155 N SD: 0.1669 c. M:-0.3555 c. 947: 87 303 176 138 86 157 N SD: 0.1514 c. M: 0.2396 c. 990: 91 317 184 144 90 164 N SD: 0.1792 c. M:-0.2842 c. 1025: 94 328 191 149 93 170 N SD: 0.1547 c. M: 0.2692 c. 1037: 95 332 193 151 94 172 N SD: 0.1358 c. M:-0.2265 c. 1122: 103 359 209 163 102 186 N SD: 0.1282 c. M: 0.2003 c. 1134: 104 363 211 165 103 188 N SD: 0.0715 c. M: 0.1380 c. 1231: 113 394 229 179 112 204 N SD: 0.0708 c. M:-0.1355 c. 1430: 131 458 266 208 130 237 N SD: 0.0548 c. M: 0.0887 c. 1527: 140 489 284 222 139 253 N SD: 0.0465 c. M:-0.1064 c. 2377: 218 761 442 346 216 394 N SD: 0.0602 c. M:-0.0863 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 7.7484 cents 3 x 4 x 5 x 6 S SD: 2.8227 cents 4 x 5:6 x 7:8 S SD: 28.4439 cents 5 x 7 x 8:9:10 SD: 29.7683 cents 6:7:8:9:10:11:12 H SD: 27.5108 cents 7:8:9:11:12 x 14 SD: 31.0562 cents 8:9:11:12:13:14:16 SD: 21.0753 cents 9:10:12:14:15:16:18 S SD: 14.5191 cents 10:11:13:15:17:18:20 SD: 12.7548 cents 12:13:16:18:20:21:24 SD: 7.7585 cents 15:16:20:23:25:27:30 SD: 4.8772 cents 18:19:24:27:30:32:36 SD: 4.1034 cents 27:29:36:41:45:48:54 SD: 2.9677 cents 31:33:41:47:52:55:62 SD: 2.3717 cents 33:35:44:50:55:59:66 SD: 2.1414 cents 43:46:57:65:72:77:86 SD: 2.0257 cents 45:48:60:68:75:80:90 SD: 1.7229 cents 60:64:80:91:100:107:120 SD: 1.5636 cents 61:65:81:92:102:109:122 SD: 1.3630 cents 64:68:85:97:107:114:128 SD: 1.1586 cents 88:94:117:133:147:157:176 SD: 1.0483 cents 91:97:121:138:152:162:182 SD: 0.9764 cents 105:112:140:159:176:187:210 SD: 0.8556 cents 107:114:142:162:179:191:214 SD: 0.8385 cents 121:129:161:183:203:216:242 SD: 0.7706 cents 136:145:181:206:228:242:272 SD: 0.7653 cents 138:147:184:209:231:246:276 SD: 0.6607 cents 148:158:197:224:248:264:296 SD: 0.6333 cents 152:162:202:230:254:271:304 SD: 0.6115 cents 154:164:205:233:258:275:308 SD: 0.5698 cents 166:177:221:251:278:296:332 SD: 0.3963 cents 197:210:262:298:330:351:394 SD: 0.3462 cents 212:226:282:321:355:378:424 SD: 0.2036 cents 230:245:306:348:385:410:460 SD: 0.1453 cents 411:438:547:622:688:733:822 SD: 0.1335 cents 442:471:588:669:740:788:884 SD: 0.0531 cents