Scala analysis: CD12_10_Iraq
Taqsîm, Jôza - Ensemble de Muhammad Al-Qubbbânjî (ushshaq, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 111.080 cents 111.079763 2: 200.070 cents 200.070364 3: 322.912 cents 322.911629 4: 513.809 cents 513.809225 5: 604.783 cents 604.783211 6: 686.693 cents 686.692683 7: 881.474 cents 881.473918 8: 931.781 cents 931.781103 9: 974.357 cents 974.356916 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 225.6431 cents 225.6431 1: 111.0798 cents 111.0798 2: 88.9906 cents 88.9906 3: 122.8413 cents 122.8413 4: 190.8976 cents 190.8976 5: 90.9740 cents 90.9740 6: 81.9095 cents 81.9095 7: 194.7812 cents 194.7812 8: 50.3072 cents 50.3072 9: 42.5758 cents 42.5758 10: 225.6431 cents 225.6431
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 42.57581 cents 1: 1 50.30718 cents 1: 1 81.90947 cents 1: 1 88.99060 cents 1: 1 90.97399 cents 1: 1 111.07976 cents 1: 1 122.84127 cents 1: 1 190.89760 cents 1: 1 194.78124 cents 1: 1 225.64308 cents 2: 1 92.88300 cents 2: 1 172.88346 cents 2: 1 200.07036 cents 2: 1 211.83187 cents 2: 1 245.08842 cents 2: 1 268.21890 cents 2: 1 276.69071 cents 2: 1 281.87158 cents 2: 1 313.73886 cents 2: 1 336.72285 cents 3: 1 287.66423 cents 3: 1 318.52608 cents 3: 1 322.91163 cents 3: 1 326.99789 cents 3: 1 363.78105 cents 3: 1 367.66469 cents 3: 1 379.29866 cents 3: 1 402.72946 cents 3: 1 404.71285 cents 3: 1 425.71345 cents 4: 1 369.57371 cents 4: 1 417.97188 cents 4: 1 429.60585 cents 4: 1 468.28926 cents 4: 1 486.62232 cents 4: 1 493.70345 cents 4: 1 513.30732 cents 4: 1 513.80922 cents 4: 1 548.55471 cents 4: 1 558.56229 cents 5: 1 460.54769 cents 5: 1 518.59645 cents 5: 1 575.61292 cents 5: 1 591.13053 cents 5: 1 595.21679 cents 5: 1 604.78321 cents 5: 1 608.86947 cents 5: 1 624.38708 cents 5: 1 681.40355 cents 5: 1 739.45231 cents 6: 1 641.43771 cents 6: 1 651.44529 cents 6: 1 686.19078 cents 6: 1 686.69268 cents 6: 1 706.29655 cents 6: 1 713.37768 cents 6: 1 731.71074 cents 6: 1 770.39415 cents 6: 1 782.02812 cents 6: 1 830.42630 cents 7: 1 774.28655 cents 7: 1 795.28715 cents 7: 1 797.27054 cents 7: 1 820.70134 cents 7: 1 832.33531 cents 7: 1 836.21895 cents 7: 1 873.00211 cents 7: 1 877.08837 cents 7: 1 881.47392 cents 7: 1 912.33577 cents 8: 1 863.27715 cents 8: 1 886.26114 cents 8: 1 918.12842 cents 8: 1 923.30929 cents 8: 1 931.78110 cents 8: 1 954.91158 cents 8: 1 988.16813 cents 8: 1 999.92964 cents 8: 1 1027.11654 cents 8: 1 1107.11700 cents 9: 1 974.35692 cents 9: 1 1005.21876 cents 9: 1 1009.10240 cents 9: 1 1077.15873 cents 9: 1 1088.92024 cents 9: 1 1109.02601 cents 9: 1 1111.00940 cents 9: 1 1118.09053 cents 9: 1 1149.69282 cents 9: 1 1157.42419 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 111.1 200.1 322.9 513.8 604.8 686.7 881.5 931.8 974.4 1200.0 111.1 : 89.0 211.8 402.7 493.7 575.6 770.4 820.7 863.3 1088.9 1200.0 200.1 : 122.8 313.7 404.7 486.6 681.4 731.7 774.3 999.9 1111.0 1200.0 322.9 : 190.9 281.9 363.8 558.6 608.9 651.4 877.1 988.2 1077.2 1200.0 513.8 : 91.0 172.9 367.7 418.0 460.5 686.2 797.3 886.3 1009.1 1200.0 604.8 : 81.9 276.7 327.0 369.6 595.2 706.3 795.3 918.1 1109.0 1200.0 686.7 : 194.8 245.1 287.7 513.3 624.4 713.4 836.2 1027.1 1118.1 1200.0 881.5 : 50.3 92.9 318.5 429.6 518.6 641.4 832.3 923.3 1005.2 1200.0 931.8 : 42.6 268.2 379.3 468.3 591.1 782.0 873.0 954.9 1149.7 1200.0 974.4 : 225.6 336.7 425.7 548.6 739.5 830.4 912.3 1107.1 1157.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 42.5758 .. 225.6431 cents 183.06727 cents 42.57581 cents 2: 92.8830 .. 336.7228 cents 243.83985 cents -132.76009 cents 3: 287.6642 .. 425.7134 cents 138.04922 cents -49.05861 cents 4: 369.5737 .. 558.5623 cents 188.98858 cents -56.13974 cents 5: 460.5477 .. 739.4523 cents 278.90462 cents -98.01460 cents 6: 641.4377 .. 830.4263 cents 188.98858 cents -98.01460 cents 7: 774.2866 .. 912.3358 cents 138.04922 cents -56.13974 cents 8: 863.2772 .. 1107.1170 cents 243.83985 cents -49.05861 cents 9: 974.3569 .. 1157.4242 cents 183.06727 cents -132.76009 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 42.57581 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 225.64308 cents Average / Smallest step : 2.818502 Largest / Average step : 1.880359 Largest / Smallest step : 5.299795 Median interval of one step : 101.02687 cents, amount: 0 Least squares average step : 117.07284 cents, oct.: 1170.72839 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJ Step pattern size order : FDGHECIBAJ Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.90901 cents Scale diversity : 1.726041 Lumma stability : 0.070960 Lumma impropriety factor : 0.559955 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 0.50191 cents Number of recognisable fifths : 4, average 698.1394 cents Number of appreciable fifths : 2, average 709.8371 cents Formal octave complements present : 1 = 10.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 0 2 N T3 SD: 28.3678 c. M: 41.4739 c. 11: 1 1 1 2 1 0 2 1 0 2 N SD: 27.3825 c. M:-50.0371 c. 12: 1 1 1 2 1 1 2 0 1 2 N D3 SD: 17.4619 c. M: 31.7811 c. 14: 1 1 2 2 1 1 2 1 0 3 N SD: 18.9541 c. M: 31.4998 c. 18: 2 1 2 3 1 1 3 1 1 3 N SD: 15.1267 c. M:-25.6431 c. 19: 2 1 2 3 2 1 3 1 0 4 N SD: 14.9323 c. M: 26.9885 c. 22: 2 2 2 3 2 2 3 1 1 4 N SD: 12.4598 c. M: 22.9001 c. 23: 2 2 2 4 2 1 4 1 1 4 N SD: 10.8453 c. M:-21.3037 c. 25: 2 2 3 4 2 1 4 1 1 5 N SD: 14.6735 c. M: 19.7811 c. 26: 2 2 3 4 2 2 4 1 1 5 N SD: 8.9769 c. M: 18.7721 c. 30: 3 2 3 5 2 2 5 1 1 6 N SD: 7.3562 c. M: 14.3569 c. 37: 3 3 4 6 3 2 6 2 1 7 N SD: 7.2285 c. M: 13.7825 c. 42: 4 3 4 7 3 3 7 2 1 8 N SD: 5.0792 c. M:-11.0760 c. 44: 4 3 5 7 3 3 7 2 2 8 N SD: 5.7023 c. M: 9.1613 c. 49: 5 3 5 8 4 3 8 2 2 9 N SD: 5.0280 c. M:-11.3692 c. 52: 5 4 5 8 4 4 8 2 2 10 N SD: 5.3965 c. M: 8.7042 c. 53: 5 4 5 9 4 3 9 2 2 10 N SD: 4.6362 c. M: 7.4474 c. 54: 5 4 6 8 4 4 9 2 2 10 N SD: 4.6119 c. M:-10.4217 c. 63: 6 5 6 10 5 4 10 3 2 12 N SD: 4.0374 c. M:-9.4534 c. 67: 6 5 7 11 5 4 11 3 2 13 N SD: 4.1879 c. M: 7.1927 c. 68: 6 5 7 11 5 5 11 3 2 13 N SD: 3.8330 c. M: 5.9527 c. 75: 7 6 7 12 6 5 12 3 3 14 N SD: 3.2665 c. M:-7.9296 c. 77: 7 6 8 12 6 5 13 3 3 14 N SD: 3.9091 c. M:-7.4613 c. 79: 7 6 8 13 6 5 13 3 3 15 N SD: 3.1885 c. M: 5.1988 c. 86: 8 6 9 14 6 6 14 4 3 16 N SD: 2.9229 c. M: 4.7832 c. 89: 8 7 9 14 7 6 14 4 3 17 N SD: 2.5081 c. M: 5.0694 c. 107: 10 8 11 17 8 7 18 4 4 20 N SD: 2.1080 c. M:-4.5074 c. 119: 11 9 12 19 9 8 19 5 5 22 N SD: 2.2814 c. M: 4.1630 c. 121: 11 9 13 19 9 8 20 5 4 23 N SD: 2.0713 c. M:-4.3611 c. 127: 12 9 13 20 10 9 20 6 4 24 N SD: 2.3460 c. M:-3.6520 c. 129: 12 10 13 20 10 9 21 5 5 24 N SD: 2.2171 c. M:-4.5808 c. 131: 12 10 13 21 10 9 21 6 4 25 N SD: 1.7851 c. M: 3.3645 c. 133: 12 10 14 21 10 9 22 5 5 25 N SD: 1.6963 c. M: 2.8091 c. 143: 13 11 14 23 11 10 23 6 5 27 N SD: 1.7060 c. M: 4.0305 c. 161: 15 12 16 26 12 11 26 7 6 30 N SD: 1.3448 c. M: 2.4147 c. 175: 16 13 18 28 13 12 28 8 6 33 N SD: 1.4805 c. M: 3.7596 c. 182: 17 13 19 29 14 12 30 7 7 34 N SD: 1.4639 c. M: 2.2682 c. 185: 17 14 19 29 14 13 30 8 6 35 N SD: 1.2752 c. M:-2.2730 c. 187: 17 14 19 30 14 13 30 8 7 35 N SD: 1.4271 c. M: 2.3295 c. 192: 18 14 20 30 15 13 31 8 7 36 N SD: 1.0792 c. M:-2.0884 c. 196: 18 15 20 31 15 13 32 8 7 37 N SD: 1.1089 c. M:-1.9705 c. 215: 20 16 22 34 16 15 35 9 8 40 N SD: 1.0838 c. M:-2.3873 c. 218: 20 16 23 34 17 15 35 9 8 41 N SD: 1.2981 c. M: 1.9052 c. 222: 21 16 23 35 17 15 36 9 8 42 N SD: 1.2132 c. M:-2.4338 c. 227: 21 17 23 36 17 16 37 9 8 43 N SD: 1.1535 c. M: 2.1400 c. 229: 21 17 24 36 17 16 37 10 8 43 N SD: 1.1398 c. M: 2.1631 c. 234: 22 17 24 37 18 16 38 10 8 44 N SD: 0.8449 c. M:-1.7407 c. 238: 22 18 24 38 18 16 39 10 8 45 N SD: 0.8504 c. M:-1.6103 c. 260: 24 19 27 41 20 18 42 11 9 49 N SD: 0.8085 c. M: 1.6088 c. 264: 24 20 27 42 20 18 43 11 9 50 N SD: 0.8346 c. M: 1.9889 c. 278: 26 20 29 44 21 19 45 12 10 52 N SD: 0.8494 c. M: 1.5092 c. 282: 26 21 29 45 21 19 46 12 10 53 N SD: 0.6951 c. M: 1.5863 c. 294: 27 22 30 47 22 20 48 12 11 55 N SD: 0.7337 c. M: 1.1689 c. 313: 29 23 32 50 24 21 51 13 11 59 N SD: 0.5313 c. M:-0.9676 c. 421: 39 31 43 67 32 29 68 18 15 79 N SD: 0.5156 c. M: 0.8214 c. 425: 39 32 43 68 32 29 69 18 15 80 N SD: 0.5588 c. M: 1.0293 c. 430: 40 32 44 68 33 29 70 18 15 81 N SD: 0.5364 c. M:-0.8599 c. 456: 42 34 47 72 35 31 74 19 16 86 N SD: 0.4571 c. M:-0.7726 c. 498: 46 37 51 79 38 34 81 21 17 94 N SD: 0.4343 c. M: 0.8629 c. 516: 48 38 53 82 39 35 84 22 18 97 N SD: 0.3864 c. M:-0.7770 c. 528: 49 39 54 84 40 36 86 22 19 99 N SD: 0.2911 c. M:-0.6431 c. 617: 57 46 63 98 47 42 100 26 22 116 N SD: 0.2224 c. M: 0.4366 c. 930: 86 69 95 148 71 63 151 39 33 175 N SD: 0.2202 c. M:-0.3781 c. 984: 91 73 101 156 75 67 160 41 35 185 N SD: 0.1789 c. M: 0.3946 c. 1048: 97 78 107 167 79 72 170 44 37 197 N SD: 0.2170 c. M:-0.3302 c. 1111: 103 82 114 177 84 76 180 47 39 209 N SD: 0.2035 c. M:-0.3521 c. 1123: 104 83 115 179 85 77 182 47 40 211 N SD: 0.1823 c. M:-0.3955 c. 1145: 106 85 117 182 87 78 186 48 41 215 N SD: 0.1636 c. M:-0.3156 c. 1319: 122 98 135 210 100 90 214 55 47 248 N SD: 0.1373 c. M:-0.2206 c. 1553: 144 115 159 247 118 106 252 65 55 292 N SD: 0.1408 c. M:-0.2393 c. 1597: 148 118 164 254 121 109 259 67 57 300 N SD: 0.1380 c. M:-0.2204 c. 1665: 154 124 170 265 126 114 270 70 59 313 N SD: 0.1213 c. M:-0.2900 c. 1728: 160 128 177 275 131 118 280 73 61 325 N SD: 0.1052 c. M: 0.2239 c. 1740: 161 129 178 277 132 119 282 73 62 327 N SD: 0.1011 c. M:-0.2039 c. 1824: 169 135 187 290 138 125 296 76 65 343 N SD: 0.1163 c. M: 0.2022 c. 1835: 170 136 188 292 139 125 298 77 65 345 N SD: 0.0991 c. M:-0.1962 c. 1861: 172 138 191 296 141 127 302 78 66 350 N SD: 0.0995 c. M: 0.1778 c. 1936: 179 144 198 308 147 132 314 81 69 364 N SD: 0.1043 c. M:-0.1755 c. 1978: 183 147 202 315 150 135 321 83 70 372 N SD: 0.0802 c. M: 0.1614 c. 2256: 209 167 231 359 171 154 366 95 80 424 N SD: 0.0733 c. M:-0.1338 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 7.6312 cents 3 x x x 4 x x 5 x x 6 S SD: 5.3420 cents 4 x x 5 x x 6 x x 7:8 S SD: 16.3618 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 16.7495 cents 6 x x 7:8 x 9:10 x 11:12 S SD: 16.0349 cents 7 x 8 x 9:10 x x 12 x 14 S SD: 17.1211 cents 8 x 9:10:11 x 12:13 x 14:16 S SD: 12.2737 cents 9 x 10:11:12:13 x 15 x 16:18 SD: 7.3606 cents 10 x 11:12:13:14:15 x 17:18:20 SD: 10.9011 cents 11:12 x 13:15 x 16:18:19 x 22 SD: 10.8071 cents 12:13 x 14:16:17:18:20 x 21:24 S SD: 8.3104 cents 13:14:15:16:17:18:19 x 22:23:26 SD: 10.8643 cents 14:15:16:17:19:20:21:23:24:25:28 SD: 5.6407 cents 15:16:17:18:20:21:22:25:26 x 30 SD: 5.0437 cents 16:17:18:19:22:23:24:27 x 28:32 SD: 6.5871 cents 17:18:19:20:23:24:25:28:29:30:34 SD: 5.3706 cents 19:20:21:23:26:27:28:32 x 33:38 SD: 6.2519 cents 20:21:22:24:27:28:30:33:34:35:40 S SD: 5.6272 cents 21:22:24:25:28:30:31:35:36:37:42 SD: 5.4381 cents 23:25:26:28:31:33:34:38:39:40:46 SD: 5.3001 cents 24:26:27:29:32:34:36:40:41:42:48 SD: 3.6581 cents 29:31:33:35:39:41:43:48:50:51:58 SD: 2.9230 cents 33:35:37:40:44:47:49:55:57:58:66 SD: 2.6846 cents 41:44:46:49:55:58:61:68:70:72:82 SD: 2.1015 cents 48:51:54:58:65:68:71:80:82:84:96 SD: 1.8472 cents 49:52:55:59:66:69:73:82:84:86:98 SD: 1.8280 cents 57:61:64:69:77:81:85:95:98:100:114 SD: 1.5451 cents 58:62:65:70:78:82:86:97:99:102:116 SD: 1.4498 cents 72:77:81:87:97:102:107:120:123:126:144 SD: 1.1527 cents 74:79:83:89:100:105:110:123:127:130:148 SD: 0.9492 cents 98:104:110:118:132:139:146:163:168:172:196 SD: 0.9326 cents 105:112:118:127:141:149:156:175:180:184:210 SD: 0.8981 cents 107:114:120:129:144:152:159:178:183:188:214 SD: 0.4923 cents 122:130:137:147:164:173:181:203:209:214:244 SD: 0.4563 cents 179:191:201:216:241:254:266:298:307:314:358 SD: 0.4269 cents 196:209:220:236:264:278:291:326:336:344:392 SD: 0.3745 cents 220:235:247:265:296:312:327:366:377:386:440 SD: 0.3500 cents 229:244:257:276:308:325:340:381:392:402:458 SD: 0.3394 cents 244:260:274:294:328:346:363:406:418:428:488 SD: 0.2773 cents 304:324:341:366:409:431:452:506:521:534:608 SD: 0.2629 cents 316:337:355:381:425:448:470:526:541:555:632 SD: 0.2444 cents 318:339:357:383:428:451:473:529:545:558:636 SD: 0.1865 cents 376:401:422:453:506:533:559:626:644:660:752 SD: 0.1459 cents 425:453:477:512:572:603:632:707:728:746:850 SD: 0.1386 cents 483:515:542:582:650:685:718:804:827:848:966 SD: 0.1275 cents 512:546:575:617:689:726:761:852:877:899:1024 SD: 0.1131 cents