Scala analysis: CD17_17_Tunisia
Combien nous avons été appelés - L'ensemble de Muhammad Ghânim (isbaayn, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 148.805 cents 148.805429 2: 234.637 cents 234.636725 3: 343.979 cents 343.979062 4: 461.009 cents 461.009082 5: 755.268 cents 755.267912 6: 848.933 cents 848.933309 7: 1055.122 cents 1055.121517 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 144.8785 cents 144.8785 1: 148.8054 cents 148.8054 2: 85.8313 cents 85.8313 3: 109.3423 cents 109.3423 4: 117.0300 cents 117.0300 5: 294.2588 cents 294.2588 6: 93.6654 cents 93.6654 7: 206.1882 cents 206.1882 8: 144.8785 cents 144.8785
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.83130 cents 1: 1 93.66540 cents 1: 1 109.34234 cents 1: 1 117.03002 cents 1: 1 144.87848 cents 1: 1 148.80543 cents 1: 1 206.18821 cents 1: 1 294.25883 cents 2: 1 195.17363 cents 2: 1 226.37236 cents 2: 1 234.63672 cents 2: 1 293.68391 cents 2: 1 299.85360 cents 2: 1 351.06669 cents 2: 1 387.92423 cents 2: 1 411.28885 cents 3: 1 312.20365 cents 3: 1 343.97906 cents 3: 1 379.51521 cents 3: 1 444.73209 cents 3: 1 499.87212 cents 3: 1 504.95425 cents 3: 1 520.63119 cents 3: 1 594.11243 cents 4: 1 461.00908 cents 4: 1 488.85755 cents 4: 1 585.70342 cents 4: 1 593.53752 cents 4: 1 606.46248 cents 4: 1 614.29658 cents 4: 1 711.14245 cents 4: 1 738.99092 cents 5: 1 605.88757 cents 5: 1 679.36881 cents 5: 1 695.04575 cents 5: 1 700.12788 cents 5: 1 755.26791 cents 5: 1 820.48479 cents 5: 1 856.02094 cents 5: 1 887.79635 cents 6: 1 788.71115 cents 6: 1 812.07577 cents 6: 1 848.93331 cents 6: 1 900.14640 cents 6: 1 906.31609 cents 6: 1 965.36328 cents 6: 1 973.62764 cents 6: 1 1004.82637 cents 7: 1 905.74117 cents 7: 1 993.81179 cents 7: 1 1051.19457 cents 7: 1 1055.12152 cents 7: 1 1082.96998 cents 7: 1 1090.65766 cents 7: 1 1106.33460 cents 7: 1 1114.16870 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 : 148.8 234.6 344.0 461.0 755.3 848.9 1055.1 1200.0 148.8 : 85.8 195.2 312.2 606.5 700.1 906.3 1051.2 1200.0 234.6 : 109.3 226.4 520.6 614.3 820.5 965.4 1114.2 1200.0 344.0 : 117.0 411.3 505.0 711.1 856.0 1004.8 1090.7 1200.0 461.0 : 294.3 387.9 594.1 739.0 887.8 973.6 1083.0 1200.0 755.3 : 93.7 299.9 444.7 593.5 679.4 788.7 905.7 1200.0 848.9 : 206.2 351.1 499.9 585.7 695.0 812.1 1106.3 1200.0 1055.1: 144.9 293.7 379.5 488.9 605.9 900.1 993.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.8313 .. 294.2588 cents 208.42753 cents 85.83130 cents 2: 195.1736 .. 411.2889 cents 216.11522 cents -99.08520 cents 3: 312.2037 .. 594.1124 cents 281.90878 cents -99.08520 cents 4: 461.0091 .. 738.9909 cents 277.98184 cents -133.10335 cents 5: 605.8876 .. 887.7963 cents 281.90878 cents -133.10335 cents 6: 788.7111 .. 1004.8264 cents 216.11522 cents -99.08520 cents 7: 905.7412 .. 1114.1687 cents 208.42753 cents -99.08520 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 85.83130 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 294.25883 cents Average / Smallest step : 1.747614 Largest / Average step : 1.961726 Largest / Smallest step : 3.428340 Median interval of one step : 130.95425 cents, amount: 0 Least squares average step : 143.87178 cents, oct.: 1150.97421 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FACDHBGE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.57492 cents Scale diversity : 1.628765 Lumma stability : 0.143052 Lumma impropriety factor : 0.552123 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 : 0.57492 cents Number of recognisable fifths : 3, average 702.1054 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 0 1 2 1 1 1 N T3 SD: 33.5241 c. M:-65.3633 c. 10: 1 1 1 1 2 1 2 1 N D3 SD: 20.6713 c. M: 35.2679 c. 14: 2 1 1 1 4 1 2 2 N SD: 19.7017 c. M: 32.4377 c. 16: 2 1 1 2 4 1 3 2 N SD: 18.6294 c. M: 43.9791 c. 17: 2 1 2 2 4 1 3 2 N SD: 16.6756 c. M:-33.1086 c. 18: 2 2 1 2 4 2 3 2 N SD: 17.1009 c. M:-32.0299 c. 19: 2 2 1 2 5 1 4 2 N SD: 19.7180 c. M: 28.1896 c. 21: 2 2 2 2 5 2 3 3 N SD: 16.4732 c. M: 34.5197 c. 24: 3 2 2 2 6 2 4 3 N SD: 7.5002 c. M:-15.3633 c. 34: 4 3 3 3 8 3 6 4 N SD: 8.0109 c. M: 14.0914 c. 38: 5 2 4 4 9 3 6 5 N SD: 8.8691 c. M: 13.5841 c. 39: 5 3 3 4 10 3 6 5 N SD: 8.8250 c. M:-13.9629 c. 40: 5 3 3 4 10 3 7 5 N SD: 7.7507 c. M: 13.9791 c. 41: 5 3 4 4 10 3 7 5 N SD: 4.2797 c. M:-7.2836 c. 57: 7 4 5 6 14 4 10 7 N SD: 3.9795 c. M: 7.1370 c. 65: 8 5 6 6 16 5 11 8 N SD: 3.3003 c. M:-6.7902 c. 72: 9 5 7 7 17 6 12 9 N SD: 3.9766 c. M:-6.0209 c. 73: 9 5 7 7 18 6 12 9 N SD: 2.9068 c. M:-5.8612 c. 81: 10 6 7 8 20 6 14 10 N SD: 2.5166 c. M: 4.4889 c. 83: 10 6 8 8 20 7 14 10 N SD: 2.9429 c. M: 4.2271 c. 91: 11 7 8 9 22 7 16 11 N SD: 2.7600 c. M: 4.9773 c. 97: 12 7 9 9 24 8 16 12 N SD: 2.5468 c. M:-4.6749 c. 99: 12 7 9 10 24 8 17 12 N SD: 2.8682 c. M: 4.5851 c. 102: 13 7 9 10 25 8 18 12 N SD: 2.5690 c. M:-4.1357 c. 107: 13 8 10 10 26 9 18 13 N SD: 2.5546 c. M: 3.8660 c. 114: 14 8 11 11 28 9 19 14 N SD: 2.6052 c. M:-3.6983 c. 115: 14 8 11 11 28 9 20 14 N SD: 2.9102 c. M: 5.0715 c. 116: 14 9 10 12 28 9 20 14 N SD: 2.6029 c. M:-4.5082 c. 117: 15 8 11 11 29 9 20 14 N SD: 2.9718 c. M:-5.0407 c. 118: 15 8 11 11 29 9 21 14 N SD: 2.8833 c. M: 4.8655 c. 119: 15 8 11 12 29 9 21 14 N SD: 2.2651 c. M:-3.7020 c. 122: 15 9 11 12 30 9 21 15 N SD: 1.8063 c. M: 3.0317 c. 123: 15 9 11 12 30 10 21 15 N SD: 2.1595 c. M: 4.0484 c. 130: 16 9 12 13 32 10 22 16 N SD: 2.0365 c. M: 3.8675 c. 133: 16 10 12 13 33 10 23 16 N SD: 1.9229 c. M: 4.4445 c. 140: 17 10 13 14 34 11 24 17 N SD: 1.8137 c. M: 3.2082 c. 143: 18 10 13 14 35 11 25 17 N SD: 1.2384 c. M:-2.2435 c. 154: 19 11 14 15 38 12 26 19 N SD: 1.3588 c. M: 3.1735 c. 164: 20 12 15 16 40 13 28 20 N SD: 1.1765 c. M: 2.4640 c. 175: 22 12 16 17 43 14 30 21 N SD: 1.3116 c. M:-2.0517 c. 184: 23 13 17 18 45 14 32 22 N SD: 1.2818 c. M:-2.0344 c. 205: 25 15 19 20 50 16 35 25 N SD: 1.2482 c. M: 2.4640 c. 208: 26 15 19 20 51 16 36 25 N SD: 1.1968 c. M:-2.1748 c. 216: 27 15 20 21 53 17 37 26 N SD: 0.7715 c. M: 1.3034 c. 240: 30 17 22 23 59 19 41 29 N SD: 0.7781 c. M:-1.1946 c. 281: 35 20 26 27 69 22 48 34 N SD: 0.8298 c. M:-1.9284 c. 283: 35 20 26 28 69 22 49 34 N SD: 0.8184 c. M: 1.4212 c. 291: 36 21 26 29 71 23 50 35 N SD: 0.7858 c. M: 1.7110 c. 297: 37 21 27 29 73 23 51 36 N SD: 0.4523 c. M:-0.6895 c. 307: 38 22 28 30 75 24 53 37 N SD: 0.4308 c. M: 0.8705 c. 461: 57 33 42 45 113 36 79 56 N SD: 0.4470 c. M: 0.8916 c. 513: 64 36 47 50 126 40 88 62 N SD: 0.4362 c. M:-0.9022 c. 516: 64 37 47 50 127 40 89 62 N SD: 0.3853 c. M:-0.6924 c. 523: 65 37 48 51 128 41 90 63 N SD: 0.3168 c. M: 0.6023 c. 604: 75 43 55 59 148 47 104 73 N SD: 0.2787 c. M: 0.5889 c. 615: 76 44 56 60 151 48 106 74 N SD: 0.4148 c. M: 0.5644 c. 628: 78 45 57 61 154 49 108 76 N SD: 0.3707 c. M: 0.5257 c. 629: 78 45 57 62 154 49 108 76 N SD: 0.3262 c. M:-0.6761 c. 645: 80 46 59 63 158 50 111 78 N SD: 0.2781 c. M: 0.5612 c. 653: 81 47 59 64 160 51 112 79 N SD: 0.2764 c. M:-0.5853 c. 669: 83 48 61 65 164 52 115 81 N SD: 0.3022 c. M: 0.5028 c. 680: 84 49 62 66 167 53 117 82 N SD: 0.2666 c. M: 0.5701 c. 809: 100 58 74 79 198 63 139 98 N SD: 0.3439 c. M: 0.4862 c. 812: 101 58 74 79 199 63 140 98 N SD: 0.3351 c. M: 0.6574 c. 813: 101 58 74 79 200 63 140 98 N SD: 0.2808 c. M: 0.4925 c. 820: 102 58 75 80 201 64 141 99 N SD: 0.2516 c. M: 0.4904 c. 823: 102 59 75 80 202 64 142 99 N SD: 0.2476 c. M:-0.5285 c. 844: 105 60 77 82 207 66 145 102 N SD: 0.2461 c. M:-0.4837 c. 864: 107 62 79 84 212 67 149 104 N SD: 0.2844 c. M:-0.4654 c. 869: 108 62 79 85 213 68 149 105 N SD: 0.1962 c. M:-0.3315 c. 896: 111 64 82 87 220 70 154 108 N SD: 0.1992 c. M: 0.2948 c. 977: 121 70 89 95 240 76 168 118 N SD: 0.1849 c. M: 0.4154 c. 1033: 128 74 94 101 253 81 177 125 N SD: 0.1807 c. M: 0.3296 c. 1176: 146 84 107 115 288 92 202 142 N SD: 0.1226 c. M:-0.2154 c. 1500: 186 107 137 146 368 117 258 181 N SD: 0.1269 c. M: 0.2367 c. 1525: 189 109 139 149 374 119 262 184 N SD: 0.1080 c. M: 0.1449 c. 1549: 192 111 141 151 380 121 266 187 N SD: 0.0693 c. M:-0.1306 c. 1846: 229 132 168 180 453 144 317 223 N SD: 0.0761 c. M: 0.1207 c. 1856: 230 133 169 181 455 145 319 224 N SD: 0.0568 c. M: 0.0985 c. 2153: 267 154 196 210 528 168 370 260 N SD: 0.0512 c. M: 0.0868 c. 2194: 272 157 200 214 538 171 377 265 N SD: 0.0520 c. M: 0.0728 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 26.6565 cents 3 x x x 4 x 5 x 6 S SD: 17.0835 cents 4 x x 5 x 6 x 7:8 S SD: 27.4789 cents 5 x x 6:7 x 8:9:10 S SD: 26.9937 cents 6 x 7 x 8:9:10:11:12 S SD: 13.4795 cents 7 x 8 x 9:11 x 13:14 SD: 8.2466 cents 8 x 9:10 x 12:13:15:16 SD: 13.6910 cents 9:10 x 11:12:14:15:17:18 SD: 11.0373 cents 10:11 x 12:13:15:16:18:20 SD: 11.6096 cents 11:12:13 x 14:17:18:20:22 SD: 10.3953 cents 13:14:15:16:17:20:21:24:26 SD: 4.5460 cents 17 x 19:21:22:26:28:31:34 SD: 8.2062 cents 18:20:21:22:23:28:29:33:36 SD: 8.0913 cents 19:21:22:23:25:29:31:35:38 SD: 5.4288 cents 20:22:23:24:26:31:33:37:40 SD: 5.0005 cents 22:24:25:27:29:34:36:40:44 SD: 3.9751 cents 32:35:37:39:42:50:52:59:64 SD: 3.5474 cents 33:36:38:40:43:51:54:61:66 SD: 2.2044 cents 46:50:53:56:60:71:75:85:92 SD: 1.8895 cents 55:60:63:67:72:85:90:101:110 SD: 0.9771 cents 68:74:78:83:89:105:111:125:136 SD: 0.8929 cents 111:121:127:135:145:172:181:204:222 SD: 0.8653 cents 112:122:128:137:146:173:183:206:224 SD: 0.8636 cents 122:133:140:149:159:189:199:224:244 SD: 0.8297 cents 123:134:141:150:161:190:201:226:246 SD: 0.7996 cents 124:135:142:151:162:192:202:228:248 SD: 0.7356 cents 131:143:150:160:171:203:214:241:262 SD: 0.6049 cents 144:157:165:176:188:223:235:265:288 SD: 0.5471 cents 145:158:166:177:189:224:237:267:290 SD: 0.5342 cents 177:193:203:216:231:274:289:326:354 SD: 0.4858 cents 187:204:214:228:244:289:305:344:374 SD: 0.4358 cents 199:217:228:243:260:308:325:366:398 SD: 0.3941 cents 223:243:255:272:291:345:364:410:446 SD: 0.3411 cents 256:279:293:312:334:396:418:471:512 SD: 0.2370 cents 269:293:308:328:351:416:439:495:538 SD: 0.2185 cents 324:353:371:395:423:501:529:596:648 SD: 0.1739 cents 400:436:458:488:522:619:653:736:800 SD: 0.1368 cents 455:496:521:555:594:704:743:837:910 SD: 0.1087 cents