Scala analysis: CD11_14_Iraq
Saisis-toi de la vie et profite des heures claires de l'existence - Ensemble de Muhammad Al-Qubbbânjî (lami, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 157.687 cents 157.686531 2: 309.378 cents 309.377981 3: 494.563 cents 494.563283 4: 702.152 cents 702.151627 5: 897.549 cents 897.548790 6: 937.549 cents 937.548790 7: 965.754 cents 965.753918 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 234.2461 cents 234.2461 1: 157.6865 cents 157.6865 2: 151.6914 cents 151.6914 3: 185.1853 cents 185.1853 4: 207.5883 cents 207.5883 5: 195.3972 cents 195.3972 6: 40.0000 cents 40.0000 7: 28.2051 cents 28.2051 8: 234.2461 cents 234.2461
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 28.20513 cents 1: 1 40.00000 cents 1: 1 151.69145 cents 1: 1 157.68653 cents 1: 1 185.18530 cents 1: 1 195.39716 cents 1: 1 207.58834 cents 1: 1 234.24608 cents 2: 1 68.20513 cents 2: 1 235.39716 cents 2: 1 262.45121 cents 2: 1 309.37798 cents 2: 1 336.87675 cents 2: 1 391.93261 cents 2: 1 392.77365 cents 2: 1 402.98551 cents 3: 1 263.60229 cents 3: 1 302.45121 cents 3: 1 420.13774 cents 3: 1 442.98551 cents 3: 1 494.56328 cents 3: 1 543.62406 cents 3: 1 544.46510 cents 3: 1 588.17081 cents 4: 1 460.13774 cents 4: 1 471.19064 cents 4: 1 497.84837 cents 4: 1 571.82919 cents 4: 1 628.17081 cents 4: 1 702.15163 cents 4: 1 728.80937 cents 4: 1 739.86226 cents 5: 1 611.82919 cents 5: 1 655.53490 cents 5: 1 656.37594 cents 5: 1 705.43672 cents 5: 1 757.01449 cents 5: 1 779.86226 cents 5: 1 897.54879 cents 5: 1 936.39771 cents 6: 1 797.01449 cents 6: 1 807.22635 cents 6: 1 808.06739 cents 6: 1 863.12325 cents 6: 1 890.62202 cents 6: 1 937.54879 cents 6: 1 964.60284 cents 6: 1 1131.79487 cents 7: 1 965.75392 cents 7: 1 992.41166 cents 7: 1 1004.60284 cents 7: 1 1014.81470 cents 7: 1 1042.31347 cents 7: 1 1048.30855 cents 7: 1 1160.00000 cents 7: 1 1171.79487 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 : 157.7 309.4 494.6 702.2 897.5 937.5 965.8 1200.0 157.7 : 151.7 336.9 544.5 739.9 779.9 808.1 1042.3 1200.0 309.4 : 185.2 392.8 588.2 628.2 656.4 890.6 1048.3 1200.0 494.6 : 207.6 403.0 443.0 471.2 705.4 863.1 1014.8 1200.0 702.2 : 195.4 235.4 263.6 497.8 655.5 807.2 992.4 1200.0 897.5 : 40.0 68.2 302.5 460.1 611.8 797.0 1004.6 1200.0 937.5 : 28.2 262.5 420.1 571.8 757.0 964.6 1160.0 1200.0 965.8 : 234.2 391.9 543.6 728.8 936.4 1131.8 1171.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 28.2051 .. 234.2461 cents 206.04095 cents 28.20513 cents 2: 68.2051 .. 402.9855 cents 334.78038 cents -166.04095 cents 3: 263.6023 .. 588.1708 cents 324.56852 cents -139.38322 cents 4: 460.1377 .. 739.8623 cents 279.72452 cents -128.03307 cents 5: 611.8292 .. 936.3977 cents 324.56852 cents -128.03307 cents 6: 797.0145 .. 1131.7949 cents 334.78038 cents -139.38322 cents 7: 965.7539 .. 1171.7949 cents 206.04095 cents -166.04095 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 28.20513 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 234.24608 cents Average / Smallest step : 5.318182 Largest / Average step : 1.561641 Largest / Smallest step : 8.305088 Median interval of one step : 171.43592 cents, amount: 0 Least squares average step : 154.61791 cents, oct.: 1236.94325 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DCEGFBAH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.15108 cents Scale diversity : 1.681394 Lumma stability : 0.047009 Lumma impropriety factor : 0.722429 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 : 0.84103 cents Number of recognisable fifths : 2, average 703.7942 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 1 0 0 2 N SD: 35.6404 c. M: 65.7539 c. 9: 1 1 2 1 2 0 0 2 N SD: 30.6778 c. M: 42.7113 c. 12: 2 1 2 2 2 0 1 2 N SD: 23.7204 c. M:-42.3135 c. 14: 2 2 2 2 2 1 0 3 N SD: 22.7869 c. M: 40.4059 c. 15: 2 2 2 3 2 1 0 3 N SD: 13.6655 c. M:-22.4512 c. 22: 3 3 3 4 3 1 1 4 N SD: 13.2141 c. M: 24.8215 c. 24: 3 3 4 4 4 1 0 5 N SD: 8.5910 c. M: 15.7539 c. 31: 4 4 5 5 5 1 1 6 N SD: 5.4870 c. M:-8.6625 c. 36: 5 4 6 6 6 1 1 7 N SD: 5.3314 c. M: 9.3780 c. 46: 6 6 7 8 7 2 1 9 N SD: 4.1199 c. M: 10.5923 c. 51: 7 6 8 9 8 2 1 10 N SD: 3.5644 c. M:-7.0194 c. 63: 8 8 10 11 10 2 2 12 N SD: 3.7423 c. M:-5.6747 c. 68: 9 9 10 12 11 2 2 13 N SD: 3.8446 c. M:-8.2691 c. 70: 9 9 11 12 11 3 1 14 N SD: 3.8424 c. M: 6.1202 c. 75: 10 9 12 13 12 3 1 15 N SD: 3.8223 c. M:-6.4512 c. 77: 10 10 12 13 13 2 2 15 N SD: 3.0264 c. M:-6.3473 c. 78: 10 10 12 14 12 3 2 15 N SD: 3.4236 c. M:-5.5407 c. 82: 11 10 13 14 13 3 2 16 N SD: 2.4685 c. M: 4.8659 c. 92: 12 12 14 16 15 3 2 18 N SD: 1.9235 c. M:-3.6655 c. 123: 16 16 19 21 20 4 3 24 N SD: 1.5995 c. M:-2.9977 c. 128: 17 16 20 22 21 4 3 25 N SD: 1.3770 c. M:-2.4512 c. 174: 23 22 27 30 28 6 4 34 N SD: 1.0392 c. M:-1.9884 c. 191: 25 24 30 33 31 6 5 37 N SD: 1.3287 c. M:-1.7853 c. 205: 27 26 31 36 33 7 5 40 N SD: 1.3143 c. M: 2.8560 c. 206: 27 26 32 36 33 7 5 40 N SD: 1.1213 c. M:-2.7027 c. 214: 28 27 33 37 35 7 5 42 N SD: 0.9380 c. M: 1.2679 c. 265: 35 33 41 46 43 9 6 52 N SD: 0.8816 c. M: 1.4535 c. 282: 37 36 43 49 46 9 7 55 N SD: 0.7573 c. M: 1.3786 c. 306: 40 39 47 53 50 10 7 60 N SD: 0.5613 c. M: 1.0480 c. 333: 44 42 51 58 54 11 8 65 N SD: 0.5636 c. M:-0.8720 c. 342: 45 43 53 59 56 11 8 67 N SD: 0.5352 c. M: 0.8416 c. 357: 47 45 55 62 58 12 8 70 N SD: 0.4493 c. M: 1.0480 c. 388: 51 49 60 67 63 13 9 76 N SD: 0.4107 c. M: 0.8055 c. 480: 63 61 74 83 78 16 11 94 N SD: 0.4042 c. M: 0.7539 c. 497: 65 63 77 86 81 16 12 97 N SD: 0.4977 c. M: 0.7449 c. 504: 66 64 78 87 82 17 12 98 N SD: 0.4952 c. M:-0.9127 c. 508: 67 64 78 88 83 17 12 99 N SD: 0.4526 c. M: 0.8625 c. 512: 67 65 79 89 83 17 12 100 N SD: 0.4196 c. M:-0.9734 c. 516: 68 65 80 89 84 17 12 101 N SD: 0.4177 c. M:-0.7856 c. 539: 71 68 83 93 88 18 13 105 N SD: 0.4165 c. M: 0.8529 c. 548: 72 69 85 95 89 18 13 107 N SD: 0.3963 c. M:-0.7681 c. 563: 74 71 87 97 92 19 13 110 N SD: 0.3716 c. M: 0.9083 c. 600: 79 76 92 104 98 20 14 117 N SD: 0.4021 c. M:-0.6220 c. 614: 81 77 95 106 100 21 14 120 N SD: 0.4519 c. M:-0.6197 c. 624: 82 79 96 108 102 21 14 122 N SD: 0.4283 c. M:-0.9127 c. 631: 83 80 97 109 103 21 15 123 N SD: 0.2930 c. M:-0.6062 c. 655: 86 83 101 113 107 22 15 128 N SD: 0.2775 c. M: 0.4722 c. 682: 90 86 105 118 111 23 16 133 N SD: 0.3031 c. M:-0.6712 c. 687: 90 87 106 119 112 23 16 134 N SD: 0.2818 c. M: 0.4813 c. 718: 94 91 111 124 117 24 17 140 N SD: 0.2529 c. M: 0.5835 c. 737: 97 93 114 127 120 25 17 144 N SD: 0.2932 c. M:-0.4164 c. 745: 98 94 115 129 121 25 18 145 N SD: 0.2920 c. M:-0.6890 c. 759: 100 96 117 131 124 25 18 148 N SD: 0.3234 c. M:-0.5034 c. 769: 101 97 119 133 125 26 18 150 N SD: 0.2179 c. M: 0.4053 c. 837: 110 106 129 145 136 28 20 163 N SD: 0.2596 c. M:-0.5543 c. 846: 111 107 131 146 138 28 20 165 N SD: 0.2381 c. M:-0.4722 c. 861: 113 109 133 149 140 29 20 168 N SD: 0.2124 c. M:-0.4303 c. 896: 118 113 138 155 146 30 21 175 N SD: 0.2401 c. M: 0.3669 c. 897: 118 113 139 155 146 30 21 175 N SD: 0.2378 c. M:-0.4200 c. 959: 126 121 148 166 156 32 23 187 N SD: 0.2531 c. M: 0.3642 c. 973: 128 123 150 168 159 32 23 190 N SD: 0.2173 c. M: 0.4045 c. 988: 130 125 152 171 161 33 23 193 N SD: 0.1826 c. M:-0.3386 c. 1019: 134 129 157 176 166 34 24 199 N SD: 0.1891 c. M:-0.3374 c. 1020: 134 129 157 177 166 34 24 199 N SD: 0.1863 c. M: 0.4456 c. 1051: 138 133 162 182 171 35 25 205 N SD: 0.1230 c. M:-0.1833 c. 1179: 155 149 182 204 192 39 28 230 N SD: 0.1139 c. M:-0.1611 c. 1536: 202 194 237 266 250 51 36 300 N SD: 0.1027 c. M:-0.1921 c. 1706: 224 216 263 295 278 57 40 333 N SD: 0.0917 c. M: 0.1587 c. 1742: 229 220 269 301 284 58 41 340 N SD: 0.0825 c. M: 0.1998 c. 1834: 241 232 283 317 299 61 43 358 N SD: 0.0855 c. M:-0.1611 c. 1912: 251 242 295 331 311 64 45 373 N SD: 0.1026 c. M: 0.1552 c. 1916: 252 242 296 331 312 64 45 374 N SD: 0.0973 c. M:-0.2175 c. 1948: 256 246 301 337 317 65 46 380 N SD: 0.0913 c. M:-0.1598 c. 2075: 273 262 320 359 338 69 49 405 N SD: 0.0912 c. M:-0.1930 c. 2094: 275 265 323 362 341 70 49 409 N SD: 0.0946 c. M: 0.1459 c. 2099: 276 265 324 363 342 70 49 410 N SD: 0.0834 c. M: 0.1513 c. 2126: 279 269 328 368 346 71 50 415 N SD: 0.0925 c. M: 0.2077 c. 2162: 284 273 334 374 352 72 51 422 N SD: 0.0879 c. M: 0.2198 c. 2191: 288 277 338 379 357 73 51 428 N SD: 0.0879 c. M: 0.1674 c. 2222: 292 281 343 384 362 74 52 434 N SD: 0.0771 c. M: 0.1374 c. 2254: 296 285 348 390 367 75 53 440 N SD: 0.0526 c. M: 0.1000 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: 0.0983 cents 3 x x 4 x 5 x x 6 S SD: 4.5473 cents 4 x 5 x 6 x x 7:8 S SD: 19.2493 cents 5 x 6:7 x 8 x 9:10 S SD: 26.4536 cents 6 x 7:8:9:10 x x 12 S SD: 8.9286 cents 7:8 x 9:11 x 12 x 14 SD: 24.8293 cents 8:9:10:11:12:13 x 14:16 S SD: 17.2246 cents 9:10:11:12:14:15 x 16:18 S SD: 12.0399 cents 10:11:12:13:15 x 17 x 20 SD: 7.5982 cents 11:12:13:15:17:18:19 x 22 SD: 11.9521 cents 12:13:14:16:18:20 x 21:24 S SD: 6.9514 cents 13:14:16:17:20:22 x 23:26 SD: 11.8186 cents 14:15:17:19:21 x 24 x 28 SD: 9.6641 cents 15:16:18:20:23:25 x 26:30 SD: 8.9810 cents 16:18:19:21:24:27 x 28:32 SD: 7.7217 cents 17:19:20:23:26 x 29:30:34 SD: 9.4980 cents 18:20:22:24:27:30:31 x 36 SD: 6.7856 cents 19:21:23:25:29:32 x 33:38 SD: 6.5423 cents 20:22:24:27:30 x 34:35:40 SD: 4.7037 cents 21:23:25:28:32:35:36:37:42 SD: 4.3559 cents 22:24:26:29:33:37:38 x 44 SD: 4.0487 cents 23:25:28:31:35:39 x 40:46 SD: 7.2705 cents 24:26:29:32:36:40:41:42:48 SD: 3.9584 cents 26:28:31:35:39:44:45 x 52 SD: 5.7362 cents 27:30:32:36:41:45:46:47:54 SD: 5.2125 cents 28:31:33:37:42:47:48:49:56 SD: 4.2196 cents 30:33:36:40:45:50 x 52:60 SD: 3.0674 cents 31:34:37:41:47:52:53:54:62 SD: 2.9894 cents 32:35:38:43:48:54:55:56:64 SD: 2.8322 cents 40:44:48:53:60:67:69:70:80 SD: 1.8452 cents 52:57:62:69:78:87:89:91:104 SD: 1.5462 cents 60:66:72:80:90:101:103:105:120 SD: 1.4509 cents 72:79:86:96:108:121:124:126:144 SD: 0.8620 cents 82:90:98:109:123:138:141:143:164 SD: 0.7769 cents 106:116:127:141:159:178:182:185:212 SD: 0.5731 cents 118:129:141:157:177:198:203:206:236 SD: 0.5455 cents 158:173:189:210:237:265:272:276:316 SD: 0.5375 cents 178:195:213:237:267:299:306:311:356 SD: 0.2354 cents 296:324:354:394:444:497:509:517:592 SD: 0.2186 cents 312:342:373:415:468:524:536:545:624 SD: 0.2043 cents 378:414:452:503:567:635:650:660:756 SD: 0.1732 cents 408:447:488:543:612:685:701:713:816 SD: 0.1567 cents 430:471:514:572:645:722:739:751:860 SD: 0.1137 cents