Scala analysis: CD13_16_rast_segah_Syria
Taqsîm, qânûn - Fawzî al-Qaltaqjî (rast, segah, Syria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 199.900 cents 199.899677 2: 363.128 cents 363.127627 3: 480.605 cents 480.605010 4: 702.436 cents 702.435673 5: 791.571 cents 791.571002 6: 899.870 cents 899.870182 7: 986.298 cents 986.298233 8: 1095.670 cents 1095.669789 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 104.3302 cents 104.3302 1: 199.8997 cents 199.8997 2: 163.2280 cents 163.2280 3: 117.4774 cents 117.4774 4: 221.8307 cents 221.8307 5: 89.1353 cents 89.1353 6: 108.2992 cents 108.2992 7: 86.4281 cents 86.4281 8: 109.3716 cents 109.3716 9: 104.3302 cents 104.3302
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 86.42805 cents 1: 1 89.13533 cents 1: 1 104.33021 cents 1: 1 108.29918 cents 1: 1 109.37156 cents 1: 1 117.47738 cents 1: 1 163.22795 cents 1: 1 199.89968 cents 1: 1 221.83066 cents 2: 1 194.72723 cents 2: 1 195.79961 cents 2: 1 197.43451 cents 2: 1 213.70177 cents 2: 1 280.70533 cents 2: 1 304.22989 cents 2: 1 310.96599 cents 2: 1 339.30805 cents 2: 1 363.12763 cents 3: 1 283.86256 cents 3: 1 300.12982 cents 3: 1 304.09879 cents 3: 1 413.60144 cents 3: 1 419.26517 cents 3: 1 428.44337 cents 3: 1 467.45784 cents 3: 1 480.60501 cents 3: 1 502.53600 cents 4: 1 393.23412 cents 4: 1 408.42900 cents 4: 1 500.02950 cents 4: 1 505.69322 cents 4: 1 536.74255 cents 4: 1 576.82939 cents 4: 1 584.93522 cents 4: 1 591.67133 cents 4: 1 702.43567 cents 5: 1 497.56433 cents 5: 1 608.32867 cents 5: 1 615.06478 cents 5: 1 623.17061 cents 5: 1 663.25745 cents 5: 1 694.30678 cents 5: 1 699.97050 cents 5: 1 791.57100 cents 5: 1 806.76588 cents 6: 1 697.46400 cents 6: 1 719.39499 cents 6: 1 732.54216 cents 6: 1 771.55663 cents 6: 1 780.73483 cents 6: 1 786.39856 cents 6: 1 895.90121 cents 6: 1 899.87018 cents 6: 1 916.13744 cents 7: 1 836.87237 cents 7: 1 860.69195 cents 7: 1 889.03401 cents 7: 1 895.77011 cents 7: 1 919.29467 cents 7: 1 986.29823 cents 7: 1 1002.56549 cents 7: 1 1004.20039 cents 7: 1 1005.27277 cents 8: 1 978.16934 cents 8: 1 1000.10032 cents 8: 1 1036.77205 cents 8: 1 1082.52262 cents 8: 1 1090.62844 cents 8: 1 1091.70082 cents 8: 1 1095.66979 cents 8: 1 1110.86467 cents 8: 1 1113.57195 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 199.9 363.1 480.6 702.4 791.6 899.9 986.3 1095.7 1200.0 199.9 : 163.2 280.7 502.5 591.7 700.0 786.4 895.8 1000.1 1200.0 363.1 : 117.5 339.3 428.4 536.7 623.2 732.5 836.9 1036.8 1200.0 480.6 : 221.8 311.0 419.3 505.7 615.1 719.4 919.3 1082.5 1200.0 702.4 : 89.1 197.4 283.9 393.2 497.6 697.5 860.7 978.2 1200.0 791.6 : 108.3 194.7 304.1 408.4 608.3 771.6 889.0 1110.9 1200.0 899.9 : 86.4 195.8 300.1 500.0 663.3 780.7 1002.6 1091.7 1200.0 986.3 : 109.4 213.7 413.6 576.8 694.3 916.1 1005.3 1113.6 1200.0 1095.7: 104.3 304.2 467.5 584.9 806.8 895.9 1004.2 1090.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 86.4281 .. 221.8307 cents 135.40261 cents 86.42805 cents 2: 194.7272 .. 363.1276 cents 168.40040 cents -27.10343 cents 3: 283.8626 .. 502.5360 cents 218.67344 cents -79.26507 cents 4: 393.2341 .. 702.4357 cents 309.20156 cents -109.30188 cents 5: 497.5643 .. 806.7659 cents 309.20156 cents -204.87135 cents 6: 697.4640 .. 916.1374 cents 218.67344 cents -109.30188 cents 7: 836.8724 .. 1005.2728 cents 168.40040 cents -79.26507 cents 8: 978.1693 .. 1113.5719 cents 135.40261 cents -27.10343 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 86.42805 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 221.83066 cents Average / Smallest step : 1.542709 Largest / Average step : 1.663730 Largest / Smallest step : 2.566651 Median interval of one step : 109.37156 cents, amount: 1 Least squares average step : 143.87451 cents, oct.: 1294.87057 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : HGFIBDAEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.13110 cents Scale diversity : 1.578922 Lumma stability : 0.144047 Lumma impropriety factor : 0.521891 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.13110 cents Number of recognisable fifths : 5, average 702.7144 cents Number of appreciable fifths : 4, average 698.5442 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 1 1 1 2 1 0 1 1 1 N T3 SD: 62.5424 c. M: 99.8702 c. 10: 2 1 1 2 1 0 1 1 1 N SD: 31.2581 c. M: 59.8702 c. 11: 2 1 1 2 1 1 1 1 1 N D3 S SD: 28.7333 c. M: 47.8902 c. 12: 2 2 1 2 1 1 1 1 1 N SD: 14.9786 c. M:-36.8724 c. Raga Pahadi 17: 3 2 2 3 1 2 1 2 1 N S SD: 15.3671 c. M:-33.7420 c. 20: 3 3 2 4 1 2 1 2 2 N SD: 14.0858 c. M: 26.2982 c. 22: 4 3 2 4 2 2 1 2 2 N SD: 16.1101 c. M:-27.4025 c. 23: 4 3 2 4 2 2 2 2 2 N SD: 10.8535 c. M: 24.1748 c. 24: 4 3 3 4 2 2 2 2 2 N S SD: 9.6148 c. M:-19.3950 c. 29: 5 4 3 5 2 3 2 3 2 N SD: 10.7530 c. M:-21.5716 c. 31: 5 4 3 6 2 3 2 3 3 N SD: 12.5840 c. M: 18.5563 c. 32: 5 5 3 6 2 3 2 3 3 N SD: 8.5279 c. M: 12.3997 c. 36: 6 5 3 7 3 3 3 3 3 N SD: 7.3809 c. M: 13.9383 c. 43: 7 6 4 8 3 4 3 4 4 N SD: 6.4698 c. M: 10.1757 c. 44: 7 6 5 8 3 4 3 4 4 N SD: 6.2195 c. M:-10.3041 c. 49: 8 7 5 9 3 5 3 5 4 N SD: 6.3727 c. M:-9.1909 c. 53: 9 7 5 10 4 5 4 4 5 N SD: 5.3133 c. M:-9.9282 c. 56: 9 8 5 11 4 5 4 5 5 N SD: 4.3105 c. M: 9.1764 c. 60: 10 8 6 11 5 5 4 6 5 N SD: 4.0218 c. M:-8.4290 c. 65: 11 9 6 12 5 6 4 6 6 N SD: 4.4607 c. M: 7.8367 c. 67: 11 9 7 12 5 6 5 6 6 N SD: 3.3225 c. M: 4.9187 c. 77: 13 10 8 14 6 7 5 7 7 N SD: 3.4358 c. M: 4.7607 c. 79: 13 11 8 14 6 7 6 7 7 N SD: 2.8481 c. M:-5.4709 c. 80: 13 11 8 15 6 7 6 7 7 N SD: 2.7215 c. M: 4.8997 c. 103: 17 14 10 19 8 9 8 9 9 N SD: 2.4005 c. M:-3.9930 c. 112: 19 15 11 21 8 10 8 10 10 N SD: 2.3397 c. M:-4.7072 c. 123: 20 17 12 23 9 11 9 11 11 N SD: 2.3776 c. M: 4.7777 c. 125: 21 17 12 23 9 12 9 11 11 N SD: 2.1630 c. M: 4.3710 c. 133: 22 18 13 25 10 12 9 12 12 N SD: 2.3473 c. M: 3.9405 c. 135: 22 19 13 25 10 12 10 12 12 N SD: 1.8619 c. M: 4.3441 c. 139: 23 19 14 25 11 12 10 13 12 N SD: 2.0129 c. M: 3.1551 c. 140: 23 19 14 26 10 13 10 13 12 N SD: 1.8090 c. M: 3.1276 c. 148: 25 20 14 28 11 13 11 13 13 N SD: 2.1941 c. M:-3.0236 c. 149: 25 20 15 27 11 14 10 14 13 N SD: 2.0181 c. M: 3.7479 c. 150: 25 20 15 28 11 13 11 14 13 N SD: 1.9194 c. M: 3.8702 c. 152: 25 21 15 28 11 14 11 14 13 N SD: 1.2906 c. M: 2.5313 c. 173: 29 23 17 32 13 16 12 16 15 N SD: 1.5243 c. M: 2.4340 c. 174: 29 24 17 32 13 16 12 16 15 N SD: 1.7423 c. M:-3.5781 c. 175: 29 24 17 32 13 16 13 16 15 N SD: 1.6846 c. M: 3.0071 c. 179: 30 24 18 33 13 16 13 16 16 N SD: 1.5327 c. M: 2.9324 c. 185: 31 25 18 34 14 17 13 17 16 N SD: 0.9947 c. M: 1.8951 c. 215: 36 29 21 40 16 19 16 19 19 N SD: 1.0710 c. M: 1.7163 c. 220: 37 30 21 41 16 20 16 20 19 N SD: 1.1921 c. M:-2.3269 c. 229: 38 31 23 42 17 21 16 21 20 N SD: 1.0003 c. M: 1.5556 c. 232: 39 31 23 43 17 21 17 21 20 N SD: 1.0087 c. M:-1.8245 c. 241: 40 33 24 44 18 22 17 22 21 N SD: 0.9772 c. M:-2.3825 c. 264: 44 36 26 49 19 24 19 24 23 N SD: 0.8626 c. M:-2.1098 c. 265: 44 36 26 49 20 24 19 24 23 N SD: 0.7456 c. M:-1.2619 c. 275: 46 37 27 51 20 25 20 25 24 N SD: 0.8249 c. M: 1.7528 c. 287: 48 39 28 53 21 26 21 26 25 N SD: 0.6620 c. M: 1.3271 c. 320: 53 44 31 59 24 29 23 29 28 N SD: 0.6710 c. M: 1.1857 c. 337: 56 46 33 62 25 31 24 31 29 N SD: 0.7059 c. M: 1.0666 c. 347: 58 47 34 64 26 31 25 32 30 N SD: 0.4889 c. M: 0.7347 c. 427: 71 58 42 79 32 38 31 39 37 N SD: 0.4537 c. M:-0.9349 c. 449: 75 61 44 83 33 41 32 41 39 N SD: 0.4388 c. M:-0.7980 c. 499: 83 68 49 92 37 45 36 46 43 N SD: 0.4221 c. M:-0.9234 c. 529: 88 72 52 98 39 48 38 48 46 N SD: 0.4115 c. M:-0.7779 c. 552: 92 75 54 102 41 50 40 50 48 N SD: 0.2659 c. M:-0.6583 c. 584: 97 80 57 108 43 53 42 53 51 N SD: 0.3750 c. M: 0.5846 c. 612: 102 83 60 113 46 55 44 56 53 N SD: 0.3257 c. M:-0.5859 c. 644: 107 88 63 119 48 58 46 59 56 N SD: 0.3034 c. M: 0.5839 c. 647: 108 88 63 120 48 58 47 59 56 N SD: 0.3772 c. M:-0.5010 c. 655: 109 89 64 121 49 59 47 60 57 N SD: 0.4317 c. M: 0.7563 c. 661: 110 90 65 122 49 60 47 61 57 N SD: 0.4257 c. M:-0.8506 c. 664: 111 90 65 123 49 60 48 60 58 N SD: 0.3820 c. M:-0.7027 c. 667: 111 91 65 123 50 60 48 61 58 N SD: 0.3432 c. M: 0.7865 c. 714: 119 97 70 132 53 64 52 65 62 N SD: 0.2625 c. M: 0.7105 c. 779: 130 106 76 144 58 70 56 71 68 N SD: 0.2910 c. M: 0.4195 c. 796: 133 108 78 147 59 72 57 73 69 N SD: 0.2899 c. M:-0.6028 c. 816: 136 111 80 151 60 74 59 74 71 N SD: 0.2888 c. M:-0.5055 c. 852: 142 116 83 158 63 77 61 78 74 N SD: 0.2354 c. M: 0.3827 c. 876: 146 119 86 162 65 79 63 80 76 N SD: 0.1739 c. M:-0.3041 c. 1163: 194 158 114 215 86 105 84 106 101 N SD: 0.1676 c. M:-0.2723 c. 1184: 197 161 116 219 88 107 85 108 103 N SD: 0.1594 c. M: 0.2898 c. 1196: 199 163 117 221 89 108 86 109 104 N SD: 0.1014 c. M: 0.2341 c. 1428: 238 194 140 264 106 129 103 130 124 N SD: 0.1212 c. M:-0.2564 c. 1471: 245 200 144 272 109 133 106 134 128 N SD: 0.1146 c. M: 0.2726 c. 1483: 247 202 145 274 110 134 107 135 129 N SD: 0.1055 c. M: 0.2022 c. 1543: 257 210 151 285 115 139 111 141 134 N SD: 0.1037 c. M: 0.1674 c. 1910: 318 260 187 353 142 172 138 174 166 N SD: 0.0812 c. M: 0.1843 c. 1992: 332 271 195 368 148 180 143 182 173 N SD: 0.1020 c. M: 0.1537 c. 2072: 345 282 203 383 154 187 149 189 180 N SD: 0.0832 c. M:-0.1298 c. 2095: 349 285 205 387 156 189 151 191 182 N SD: 0.0736 c. M: 0.1922 c. 2207: 368 300 216 408 164 199 159 201 192 N SD: 0.0826 c. M:-0.1909 c. 2347: 391 319 230 434 174 212 169 214 204 N SD: 0.0561 c. M: 0.1110 c. 2359: 393 321 231 436 175 213 170 215 205 N SD: 0.0572 c. M:-0.1072 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x x 4 S SD: 0.2403 cents 3 x x 4 x x 5 x x 6 S SD: 7.7800 cents 4 x 5 x 6 x x 7 x 8 S SD: 7.2591 cents 5 x 6:7 x 8 x 9 x 10 S SD: 23.7560 cents 6:7 x 8:9 x 10 x 11:12 S SD: 14.1170 cents 7:8 x 9 x 11:12 x 13:14 SD: 11.5630 cents 8:9:10:11:12:13 x 14:15:16 S SD: 11.3956 cents 9:10:11:12 x 14:15:16:17:18 S SD: 5.4961 cents 11:12:14:15 x 17 x 19:21:22 SD: 15.7611 cents 12:13:15:16:18:19:20:21:23:24 SD: 8.6810 cents 14:16:17:18:21:22:24:25:26:28 S SD: 8.4975 cents 16:18:20:21:24:25:27:28:30:32 SD: 4.1652 cents 22:25:27:29:33:35:37:39:41:44 SD: 3.5709 cents 26:29:32:34:39:41:44:46:49:52 SD: 2.5476 cents 34:38:42:45:51:54:57:60:64:68 SD: 1.6039 cents 50:56:62:66:75:79:84:88:94:100 SD: 1.4435 cents 60:67:74:79:90:95:101:106:113:120 SD: 1.2050 cents 72:81:89:95:108:114:121:127:136:144 SD: 1.0657 cents 82:92:101:108:123:130:138:145:154:164 SD: 1.0072 cents 90:101:111:119:135:142:151:159:169:180 SD: 0.8167 cents 100:112:123:132:150:158:168:177:188:200 SD: 0.8018 cents 112:126:138:148:168:177:188:198:211:224 SD: 0.6511 cents 116:130:143:153:174:183:195:205:218:232 SD: 0.5815 cents 138:155:170:182:207:218:232:244:260:276 SD: 0.3436 cents 172:193:212:227:258:272:289:304:324:344 SD: 0.3139 cents 188:211:232:248:282:297:316:332:354:376 SD: 0.2743 cents 288:323:355:380:432:455:484:509:542:576 SD: 0.2733 cents 309:347:381:408:464:488:520:546:582:618 SD: 0.2650 cents 318:357:392:420:477:502:535:562:599:636 SD: 0.2427 cents 326:366:402:430:489:515:548:576:614:652 SD: 0.2079 cents 352:395:434:465:528:556:592:622:663:704 SD: 0.2032 cents 400:449:493:528:600:632:673:707:753:800 SD: 0.1893 cents 450:505:555:594:675:711:757:795:847:900 SD: 0.1733 cents 481:540:593:635:722:760:809:850:906:962 SD: 0.1607 cents 497:558:613:656:746:785:836:879:936:994 SD: 0.1474 cents 522:586:644:689:783:825:878:923:983:1044 SD: 0.1404 cents 531:596:655:701:797:839:893:939:1000:1062 SD: 0.1117 cents