Scala analysis: CD15_07_Algeria
Ils ont monté contre moi les esprits - L'ensemble d'Al-'Arabî Ben Sârî (iraq, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.004 cents 145.003515 2: 294.242 cents 294.241890 3: 488.540 cents 488.540162 4: 714.926 cents 714.926250 5: 771.952 cents 771.951567 6: 804.383 cents 804.383261 7: 988.647 cents 988.647219 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.3528 cents 211.3528 1: 145.0035 cents 145.0035 2: 149.2384 cents 149.2384 3: 194.2983 cents 194.2983 4: 226.3861 cents 226.3861 5: 57.0253 cents 57.0253 6: 32.4317 cents 32.4317 7: 184.2640 cents 184.2640 8: 211.3528 cents 211.3528
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 32.43169 cents 1: 1 57.02532 cents 1: 1 145.00352 cents 1: 1 149.23837 cents 1: 1 184.26396 cents 1: 1 194.29827 cents 1: 1 211.35278 cents 1: 1 226.38609 cents 2: 1 89.45701 cents 2: 1 216.69565 cents 2: 1 283.41141 cents 2: 1 294.24189 cents 2: 1 343.53665 cents 2: 1 356.35630 cents 2: 1 395.61674 cents 2: 1 420.68436 cents 3: 1 273.72097 cents 3: 1 315.84310 cents 3: 1 428.04843 cents 3: 1 477.70968 cents 3: 1 488.54016 cents 3: 1 505.59467 cents 3: 1 540.62025 cents 3: 1 569.92273 cents 4: 1 485.07375 cents 4: 1 500.10706 cents 4: 1 510.14137 cents 4: 1 573.05195 cents 4: 1 626.94805 cents 4: 1 689.85863 cents 4: 1 699.89294 cents 4: 1 714.92625 cents 5: 1 630.07726 cents 5: 1 659.37975 cents 5: 1 694.40533 cents 5: 1 711.45984 cents 5: 1 722.29032 cents 5: 1 771.95157 cents 5: 1 884.15690 cents 5: 1 926.27903 cents 6: 1 779.31564 cents 6: 1 804.38326 cents 6: 1 843.64370 cents 6: 1 856.46335 cents 6: 1 905.75811 cents 6: 1 916.58859 cents 6: 1 983.30435 cents 6: 1 1110.54299 cents 7: 1 973.61391 cents 7: 1 988.64722 cents 7: 1 1005.70173 cents 7: 1 1015.73604 cents 7: 1 1050.76163 cents 7: 1 1054.99648 cents 7: 1 1142.97468 cents 7: 1 1167.56831 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 : 145.0 294.2 488.5 714.9 772.0 804.4 988.6 1200.0 145.0 : 149.2 343.5 569.9 626.9 659.4 843.6 1055.0 1200.0 294.2 : 194.3 420.7 477.7 510.1 694.4 905.8 1050.8 1200.0 488.5 : 226.4 283.4 315.8 500.1 711.5 856.5 1005.7 1200.0 714.9 : 57.0 89.5 273.7 485.1 630.1 779.3 973.6 1200.0 772.0 : 32.4 216.7 428.0 573.1 722.3 916.6 1143.0 1200.0 804.4 : 184.3 395.6 540.6 689.9 884.2 1110.5 1167.6 1200.0 988.6 : 211.4 356.4 505.6 699.9 926.3 983.3 1015.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 32.4317 .. 226.3861 cents 193.95439 cents 32.43169 cents 2: 89.4570 .. 420.6844 cents 331.22735 cents -136.92908 cents 3: 273.7210 .. 569.9227 cents 296.20177 cents -146.96339 cents 4: 485.0737 .. 714.9263 cents 229.85250 cents -84.84898 cents 5: 630.0773 .. 926.2790 cents 296.20177 cents -84.84898 cents 6: 779.3156 .. 1110.5430 cents 331.22735 cents -146.96339 cents 7: 973.6139 .. 1167.5683 cents 193.95439 cents -136.92908 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 32.43169 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 226.38609 cents Average / Smallest step : 4.625105 Largest / Average step : 1.509241 Largest / Smallest step : 6.980397 Median interval of one step : 166.75117 cents, amount: 0 Least squares average step : 148.35981 cents, oct.: 1186.87846 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CDFHBAEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.12921 cents Scale diversity : 1.733192 Lumma stability : 0.054053 Lumma impropriety factor : 0.614569 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 : 3.12921 cents Number of recognisable fifths : 5, average 702.1086 cents Number of appreciable fifths : 4, average 698.9042 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 0 0 2 1 N T3 S SD: 35.3150 c. M:-61.3528 c. 9: 1 1 2 1 1 0 1 2 N SD: 33.7223 c. M: 55.3139 c. 12: 1 2 2 2 1 0 2 2 N SD: 20.4555 c. M: 45.0035 c. 14: 2 1 3 2 1 0 3 2 N SD: 27.9978 c. M:-39.9242 c. 15: 2 2 2 3 1 0 2 3 N SD: 18.0750 c. M: 28.6472 c. 17: 2 2 3 3 1 0 3 3 N SD: 11.5575 c. M: 27.9127 c. 22: 3 2 4 4 1 1 3 4 N SD: 12.0203 c. M: 21.5146 c. 24: 3 3 4 4 1 1 4 4 N S SD: 11.4139 c. M: 21.9516 c. 25: 3 3 4 5 1 1 4 4 N SD: 9.1086 c. M:-19.3528 c. 28: 3 4 4 6 1 1 4 5 N SD: 10.5422 c. M: 17.1116 c. 30: 4 3 5 6 1 1 5 5 N SD: 10.1078 c. M:-14.9965 c. 33: 4 4 5 7 1 1 5 6 N SD: 8.2824 c. M: 15.8129 c. 34: 4 4 6 6 2 1 5 6 N SD: 6.5572 c. M: 11.8889 c. 40: 5 5 6 8 2 1 6 7 N SD: 5.6453 c. M: 8.5402 c. 42: 5 5 7 8 2 1 7 7 N SD: 5.4094 c. M:-11.3528 c. 52: 6 7 8 10 2 2 8 9 N SD: 5.2956 c. M: 10.4131 c. 57: 7 7 9 11 3 1 9 10 N SD: 3.4309 c. M:-6.9958 c. 64: 8 8 10 12 3 2 10 11 N SD: 3.6205 c. M:-5.7581 c. 67: 8 8 11 13 3 2 10 12 N SD: 3.6606 c. M: 7.6747 c. 73: 9 9 12 13 4 2 11 13 N SD: 3.6227 c. M: 8.0769 c. 74: 9 9 12 14 4 2 11 13 N SD: 3.4557 c. M:-6.4275 c. 81: 10 10 13 15 4 2 13 14 N SD: 2.8737 c. M: 4.3833 c. 91: 11 11 15 17 4 3 14 16 N SD: 3.0883 c. M: 7.1164 c. 94: 11 12 15 18 4 3 14 17 N SD: 3.5570 c. M: 5.9941 c. 97: 12 12 16 18 4 3 15 17 N SD: 3.3744 c. M:-6.3052 c. 98: 12 12 16 18 5 3 15 17 N SD: 2.5615 c. M: 4.7222 c. 101: 12 13 16 19 5 3 15 18 N SD: 2.2023 c. M:-3.5375 c. 106: 13 13 17 20 5 3 16 19 N SD: 1.9256 c. M: 3.7416 c. 118: 14 15 19 22 6 3 18 21 N SD: 1.7187 c. M: 3.0618 c. 131: 16 16 21 25 6 4 20 23 N SD: 1.6850 c. M: 3.0440 c. 143: 17 18 23 27 7 4 22 25 N SD: 1.4023 c. M: 2.3462 c. 148: 18 18 24 28 7 4 23 26 N SD: 1.5235 c. M: 2.3500 c. 171: 21 21 28 32 8 5 26 30 N SD: 1.6367 c. M:-2.6879 c. 176: 21 22 29 33 8 5 27 31 N SD: 1.2888 c. M:-2.3689 c. 180: 22 22 29 34 9 5 27 32 N SD: 1.6080 c. M:-2.2834 c. 182: 22 23 29 34 9 5 28 32 N SD: 1.3655 c. M: 2.8383 c. 188: 23 23 31 35 9 5 29 33 N SD: 1.2760 c. M:-2.9492 c. 191: 23 24 31 36 9 5 29 34 N SD: 1.1808 c. M: 2.2598 c. 197: 24 24 32 37 10 5 30 35 N SD: 1.4838 c. M: 2.2359 c. 199: 24 25 32 38 9 5 31 35 N SD: 1.3430 c. M:-2.6617 c. 215: 26 27 35 40 10 6 33 38 N SD: 1.3020 c. M:-2.6226 c. 216: 26 27 35 41 10 6 33 38 N SD: 0.7914 c. M:-1.7404 c. 233: 28 29 38 44 11 6 36 41 N SD: 0.6908 c. M:-0.9536 c. 297: 36 37 48 56 14 8 46 52 N SD: 0.5718 c. M:-1.2518 c. 322: 39 40 52 61 15 9 49 57 N SD: 0.5456 c. M: 1.0696 c. 339: 41 42 55 64 16 9 52 60 N SD: 0.5102 c. M: 1.0366 c. 364: 44 45 59 69 17 10 56 64 N SD: 0.4625 c. M: 0.8353 c. 415: 50 52 67 78 20 11 64 73 N SD: 0.4401 c. M: 0.7094 c. 482: 58 60 78 91 23 13 74 85 N SD: 0.3918 c. M: 0.6052 c. 555: 67 69 90 105 26 15 85 98 N SD: 0.3401 c. M:-0.7494 c. 619: 75 77 100 117 29 17 95 109 N SD: 0.2922 c. M:-0.4269 c. 631: 76 79 102 119 30 17 97 111 N SD: 0.2862 c. M:-0.5283 c. 636: 77 79 103 120 30 17 98 112 N SD: 0.2675 c. M: 0.6097 c. 653: 79 81 106 123 31 18 100 115 N SD: 0.2357 c. M:-0.5172 c. 710: 86 88 115 134 34 19 109 125 N SD: 0.2159 c. M:-0.4428 c. 762: 92 95 123 144 36 21 117 134 N SD: 0.2534 c. M: 0.3512 c. 779: 94 97 126 147 37 21 120 137 N SD: 0.2026 c. M:-0.3130 c. 970: 117 121 157 183 46 26 149 171 N SD: 0.1731 c. M: 0.2612 c. 1068: 129 133 173 201 51 29 164 188 N SD: 0.1593 c. M: 0.3195 c. 1101: 133 137 178 208 52 30 169 194 N SD: 0.1438 c. M: 0.2894 c. 1289: 156 160 209 243 61 35 198 227 N SD: 0.1321 c. M:-0.2253 c. 1334: 161 166 216 252 63 36 205 235 N SD: 0.1359 c. M:-0.2162 c. 1341: 162 167 217 253 64 36 206 236 N SD: 0.1441 c. M:-0.3079 c. 1390: 168 173 225 262 66 38 213 245 N SD: 0.1321 c. M:-0.2211 c. 1407: 170 175 228 265 67 38 216 248 N SD: 0.1229 c. M: 0.2141 c. 1408: 170 175 228 266 67 38 216 248 N SD: 0.1495 c. M: 0.2078 c. 1432: 173 178 232 270 68 39 220 252 N SD: 0.1084 c. M:-0.1796 c. 1447: 175 180 234 273 69 39 222 255 N SD: 0.1029 c. M:-0.1603 c. 1623: 196 202 263 306 77 44 249 286 N SD: 0.0874 c. M:-0.1844 c. 1680: 203 209 272 317 80 45 258 296 N SD: 0.0867 c. M:-0.1913 c. 1771: 214 220 287 334 84 48 272 312 N SD: 0.1001 c. M: 0.1842 c. 1811: 219 225 293 342 86 49 278 319 N SD: 0.0816 c. M: 0.1912 c. 1977: 239 246 320 373 94 53 304 348 N SD: 0.1060 c. M:-0.1435 c. 1987: 240 247 322 375 94 54 305 350 N SD: 0.0847 c. M: 0.1348 c. 2044: 247 254 331 386 97 55 314 360 N SD: 0.0795 c. M:-0.1422 c. 2226: 269 277 360 420 106 60 342 392 N SD: 0.0735 c. M: 0.1305 c. 2333: 282 290 378 440 111 63 358 411 N SD: 0.0637 c. M:-0.1016 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: 6.4856 cents 3 x x 4 x x 5 x 6 S SD: 26.8461 cents 4 x 5 x 6 x x 7:8 S SD: 23.7676 cents 5 x 6:7 x x 8:9:10 S SD: 20.2121 cents 6 x 7:8:9 x 10:11:12 S SD: 17.5517 cents 7 x 8:9 x 11 x 12:14 SD: 20.0284 cents 8:9 x 11:12 x 13:14:16 SD: 16.0542 cents 9:10:11:12 x 14 x 16:18 S SD: 11.0813 cents 10:11:12:13:15 x 16:18:20 SD: 7.9912 cents 11:12:13:15 x 17:18:19:22 SD: 11.8342 cents 12:13:14:16:18 x 19:21:24 SD: 5.5694 cents 13:14:15:17 x 20:21:23:26 SD: 9.4518 cents 14:15:17:19:21:22 x 25:28 SD: 9.6137 cents 15:16:18:20:23 x 24:27:30 SD: 8.0924 cents 16:17:19:21:24:25 x 28:32 SD: 7.1308 cents 17:18:20:23:26 x 27:30:34 SD: 8.9930 cents 18:20:21:24:27:28:29:32:36 SD: 6.8058 cents 19:21:23:25:29 x 30:34:38 SD: 8.0121 cents 20:22:24:27:30:31:32:35:40 SD: 6.4255 cents 21:23:25:28:32:33 x 37:42 SD: 3.7387 cents 22:24:26:29:33:34:35:39:44 SD: 3.2429 cents 26:28:31:34:39 x 41:46:52 SD: 5.3186 cents 27:29:32:36:41:42:43:48:54 SD: 3.3508 cents 34:37:40:45:51:53:54:60:68 SD: 2.4967 cents 37:40:44:49:56:58:59:65:74 SD: 2.4021 cents 43:47:51:57:65:67:68:76:86 SD: 1.8822 cents 55:60:65:73:83:86:88:97:110 SD: 1.7545 cents 59:64:70:78:89:92:94:104:118 SD: 1.3874 cents 70:76:83:93:106:109:111:124:140 SD: 1.2388 cents 71:77:84:94:107:111:113:126:142 SD: 1.1447 cents 80:87:95:106:121:125:127:142:160 SD: 0.9327 cents 92:100:109:122:139:144:146:163:184 SD: 0.7986 cents 113:123:134:150:171:176:180:200:226 SD: 0.7777 cents 114:124:135:151:172:178:181:202:228 SD: 0.7314 cents 123:134:146:163:186:192:196:218:246 SD: 0.6871 cents 125:136:148:166:189:195:199:221:250 SD: 0.5712 cents 135:147:160:179:204:211:215:239:270 SD: 0.3754 cents 205:223:243:272:310:320:326:363:410 SD: 0.2983 cents 264:287:313:350:399:412:420:467:528 SD: 0.2591 cents 297:323:352:394:449:464:473:526:594 SD: 0.2351 cents 340:370:403:451:514:531:541:602:680 SD: 0.2103 cents 356:387:422:472:538:556:567:630:712 SD: 0.1961 cents 377:410:447:500:570:589:600:667:754 SD: 0.1836 cents 399:434:473:529:603:623:635:706:798 SD: 0.1420 cents 448:487:531:594:677:700:713:793:896 SD: 0.1096 cents 561:610:665:744:848:876:893:993:1122 SD: 0.0945 cents