Scala analysis: CD12_03_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (mukhalif, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 124.266 cents 124.266191 2: 263.915 cents 263.915273 3: 378.801 cents 378.800533 4: 606.703 cents 606.703173 5: 747.100 cents 747.099822 6: 947.752 cents 947.751859 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 252.2481 cents 252.2481 1: 124.2662 cents 124.2662 2: 139.6491 cents 139.6491 3: 114.8853 cents 114.8853 4: 227.9026 cents 227.9026 5: 140.3966 cents 140.3966 6: 200.6520 cents 200.6520 7: 252.2481 cents 252.2481
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.88526 cents 1: 1 124.26619 cents 1: 1 139.64908 cents 1: 1 140.39665 cents 1: 1 200.65204 cents 1: 1 227.90264 cents 1: 1 252.24814 cents 2: 1 254.53434 cents 2: 1 263.91527 cents 2: 1 341.04869 cents 2: 1 342.78790 cents 2: 1 368.29929 cents 2: 1 376.51433 cents 2: 1 452.90018 cents 3: 1 378.80053 cents 3: 1 482.43698 cents 3: 1 483.18455 cents 3: 1 516.16341 cents 3: 1 568.95133 cents 3: 1 577.16637 cents 3: 1 593.29683 cents 4: 1 606.70317 cents 4: 1 622.83363 cents 4: 1 631.04867 cents 4: 1 683.83659 cents 4: 1 716.81545 cents 4: 1 717.56302 cents 4: 1 821.19947 cents 5: 1 747.09982 cents 5: 1 823.48567 cents 5: 1 831.70071 cents 5: 1 857.21210 cents 5: 1 858.95131 cents 5: 1 936.08473 cents 5: 1 945.46566 cents 6: 1 947.75186 cents 6: 1 972.09736 cents 6: 1 999.34796 cents 6: 1 1059.60335 cents 6: 1 1060.35092 cents 6: 1 1075.73381 cents 6: 1 1085.11474 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 124.3 263.9 378.8 606.7 747.1 947.8 1200.0 124.3 : 139.6 254.5 482.4 622.8 823.5 1075.7 1200.0 263.9 : 114.9 342.8 483.2 683.8 936.1 1060.4 1200.0 378.8 : 227.9 368.3 569.0 821.2 945.5 1085.1 1200.0 606.7 : 140.4 341.0 593.3 717.6 857.2 972.1 1200.0 747.1 : 200.7 452.9 577.2 716.8 831.7 1059.6 1200.0 947.8 : 252.2 376.5 516.2 631.0 859.0 999.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.8853 .. 252.2481 cents 137.36288 cents 114.88526 cents 2: 254.5343 .. 452.9002 cents 198.36584 cents 2.28620 cents 3: 378.8005 .. 593.2968 cents 214.49629 cents -74.09964 cents 4: 606.7032 .. 821.1995 cents 214.49629 cents 13.40635 cents 5: 747.0998 .. 945.4657 cents 198.36584 cents -74.09964 cents 6: 947.7519 .. 1085.1147 cents 137.36288 cents 2.28620 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 114.88526 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 252.24814 cents Average / Smallest step : 1.492172 Largest / Average step : 1.471447 Largest / Smallest step : 2.195653 Median interval of one step : 140.39665 cents, amount: 1 Least squares average step : 157.40944 cents, oct.: 1101.86606 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BCAFDEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.28620 cents Scale diversity : 1.540722 Lumma stability : 0.206458 Lumma impropriety factor : 0.123499 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.74757 cents Number of recognisable fifths : 2, average 717.1892 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 80.8941 c. M: 124.2662 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 36.5812 c. M:-71.1995 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 31.9400 c. M:-59.9635 c. 10: 1 1 1 2 1 2 2 N D3 SD: 16.3574 c. M: 27.0998 c. 18: 2 2 2 3 2 3 4 N SD: 11.8415 c. M:-21.1995 c. 19: 2 2 2 4 2 3 4 N SD: 11.1293 c. M:-24.8758 c. 22: 2 3 2 4 3 3 5 N SD: 12.2756 c. M: 20.4791 c. 26: 3 3 2 5 3 5 5 N SD: 12.2077 c. M:-21.4789 c. 28: 3 3 3 5 3 5 6 N SD: 8.6552 c. M: 18.5284 c. 29: 3 3 3 6 3 5 6 N SD: 8.4681 c. M: 15.6394 c. 32: 3 4 3 6 4 5 7 N SD: 6.6904 c. M: 11.7662 c. 37: 4 4 4 7 4 6 8 N SD: 6.5625 c. M:-10.3887 c. 38: 4 4 4 7 5 6 8 N SD: 6.4714 c. M: 11.2837 c. 42: 4 5 4 8 5 7 9 N SD: 6.3999 c. M: 9.9805 c. 47: 5 5 5 9 5 8 10 N SD: 5.2590 c. M: 8.5961 c. 51: 5 6 5 10 6 8 11 N SD: 5.0447 c. M: 6.6191 c. 58: 6 7 5 11 7 10 12 N SD: 4.3455 c. M: 6.7032 c. 67: 7 8 6 13 8 11 14 N SD: 3.0386 c. M:-5.1390 c. 77: 8 9 7 15 9 13 16 N SD: 2.2198 c. M: 4.7746 c. 85: 9 10 8 16 10 14 18 N SD: 2.2996 c. M:-4.3200 c. 95: 10 11 9 18 11 16 20 N SD: 1.1777 c. M:-2.0496 c. 172: 18 20 16 33 20 29 36 N SD: 1.1339 c. M: 2.0563 c. 186: 19 22 18 35 22 31 39 N SD: 1.1167 c. M:-1.8446 c. 196: 20 23 19 37 23 33 41 N SD: 0.9427 c. M: 1.8172 c. 210: 22 24 20 40 25 35 44 N SD: 1.1820 c. M: 1.6577 c. 222: 23 26 21 42 26 37 47 N SD: 1.0254 c. M: 1.8059 c. 228: 24 26 22 43 27 38 48 N SD: 1.0063 c. M:-2.0496 c. 241: 25 28 23 46 28 40 51 N SD: 0.7259 c. M: 1.6938 c. 251: 26 29 24 48 29 42 53 N SD: 0.8728 c. M: 1.2831 c. 263: 27 31 25 50 31 44 55 N SD: 0.8280 c. M:-1.2976 c. 281: 29 33 27 53 33 47 59 N SD: 0.6266 c. M:-1.2706 c. 291: 30 34 28 55 34 49 61 N SD: 0.5220 c. M: 0.7081 c. 358: 37 42 34 68 42 60 75 N SD: 0.4964 c. M:-0.8892 c. 395: 41 46 38 75 46 66 83 N SD: 0.5337 c. M:-0.9463 c. 405: 42 47 39 77 47 68 85 N SD: 0.4014 c. M:-0.7042 c. 427: 44 50 41 81 50 71 90 N SD: 0.4703 c. M: 0.6793 c. 437: 45 51 42 83 51 73 92 N SD: 0.3392 c. M: 0.6964 c. 495: 51 58 47 94 58 83 104 N SD: 0.4634 c. M: 0.6426 c. 500: 52 58 48 95 58 84 105 N SD: 0.4226 c. M: 0.6998 c. 504: 52 59 48 96 59 84 106 N SD: 0.3543 c. M:-0.5192 c. 514: 53 60 49 98 60 86 108 N SD: 0.3258 c. M: 0.5904 c. 532: 55 62 51 101 62 89 112 N SD: 0.2532 c. M: 0.4833 c. 609: 63 71 58 116 71 102 128 N SD: 0.2352 c. M: 0.4754 c. 665: 69 77 64 126 78 111 140 N SD: 0.2899 c. M: 0.4566 c. 694: 72 81 66 132 81 116 146 N SD: 0.2872 c. M:-0.6380 c. 704: 73 82 67 134 82 118 148 N SD: 0.2770 c. M: 0.5089 c. 732: 76 85 70 139 86 122 154 N SD: 0.2324 c. M:-0.4412 c. 742: 77 86 71 141 87 124 156 N SD: 0.2251 c. M: 0.3639 c. 795: 82 93 76 151 93 133 167 N SD: 0.2221 c. M: 0.4926 c. 890: 92 104 85 169 104 149 187 N SD: 0.1742 c. M:-0.3544 c. 928: 96 108 89 176 109 155 195 N SD: 0.1696 c. M:-0.3140 c. 1023: 106 119 98 194 120 171 215 N SD: 0.1144 c. M: 0.2516 c. 1137: 118 132 109 216 133 190 239 N SD: 0.1351 c. M:-0.2721 c. 1179: 122 137 113 224 138 197 248 N SD: 0.1546 c. M: 0.3020 c. 1264: 131 147 121 240 148 211 266 N SD: 0.1175 c. M: 0.2835 c. 1274: 132 148 122 242 149 213 268 N SD: 0.1370 c. M: 0.1851 c. 1333: 138 155 128 253 156 223 280 N SD: 0.1227 c. M:-0.1942 c. 1428: 148 166 137 271 167 239 300 N SD: 0.1024 c. M:-0.1911 c. 1460: 151 170 140 277 171 244 307 N SD: 0.0964 c. M: 0.1566 c. 1537: 159 179 147 292 180 257 323 N SD: 0.0853 c. M: 0.1408 c. 1555: 161 181 149 295 182 260 327 N SD: 0.0849 c. M: 0.1437 c. 1632: 169 190 156 310 191 273 343 N SD: 0.0646 c. M: 0.1241 c. 2027: 210 236 194 385 237 339 426 N SD: 0.0743 c. M:-0.1202 c. 2037: 211 237 195 387 238 341 428 N SD: 0.0689 c. M: 0.1190 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 22.5724 cents 3 x x x 4 x 5:6 S SD: 41.9329 cents 4 x x 5 x 6:7:8 S SD: 12.5962 cents 5 x 6 x 7:8:9:10 S SD: 22.4257 cents 6 x 7 x x 9:10:12 SD: 19.4703 cents 7 x 8:9:10:11:12:14 S SD: 12.7176 cents 8 x 9:10:11:12:14:16 S SD: 15.9920 cents 9:10 x 11:13:14:16:18 SD: 14.8271 cents 10:11:12 x 14:15:17:20 SD: 14.7251 cents 11:12:13:14:16:17:19:22 SD: 9.7320 cents 12:13:14:15:17:18:21:24 SD: 7.5129 cents 17:18:20:21:24:26:29:34 SD: 6.1864 cents 24:26:28:30:34:37:41:48 SD: 3.8199 cents 26:28:30:32:37:40:45:52 SD: 3.7084 cents 29:31:34:36:41:45:50:58 SD: 3.1515 cents 37:40:43:46:53:57:64:74 SD: 2.7585 cents 41:44:48:51:58:63:71:82 SD: 1.7136 cents 65:70:76:81:92:100:112:130 SD: 1.6251 cents 66:71:77:82:94:102:114:132 SD: 1.4157 cents 67:72:78:83:95:103:116:134 SD: 1.3056 cents 78:84:91:97:111:120:135:156 SD: 1.0035 cents 107:115:125:133:152:165:185:214 SD: 0.9207 cents 110:118:128:137:156:169:190:220 SD: 0.7909 cents 122:131:142:152:173:188:211:244 SD: 0.5064 cents 176:189:205:219:250:271:304:352 SD: 0.2947 cents 200:215:233:249:284:308:346:400 SD: 0.2526 cents 298:320:347:371:423:459:515:596 SD: 0.2182 cents 310:333:361:386:440:477:536:620 SD: 0.2078 cents 376:404:438:468:534:579:650:752 SD: 0.1123 cents 565:607:658:703:802:870:977:1130 SD: 0.1032 cents