Scala analysis: CD02_16_Egypt
Pourquoi donc ? / De longues nuits - Darwîsh Muhammad al-Harîrî (shawrak, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 131.788 cents 131.788050 2: 271.376 cents 271.376133 3: 479.328 cents 479.328015 4: 601.808 cents 601.808007 5: 672.973 cents 672.972973 6: 754.361 cents 754.361028 7: 865.748 cents 865.748101 8: 958.602 cents 958.602203 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 241.3978 cents 241.3978 1: 131.7880 cents 131.7880 2: 139.5881 cents 139.5881 3: 207.9519 cents 207.9519 4: 122.4800 cents 122.4800 5: 71.1650 cents 71.1650 6: 81.3881 cents 81.3881 7: 111.3871 cents 111.3871 8: 92.8541 cents 92.8541 9: 241.3978 cents 241.3978
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 71.16497 cents 1: 1 81.38805 cents 1: 1 92.85410 cents 1: 1 111.38707 cents 1: 1 122.47999 cents 1: 1 131.78805 cents 1: 1 139.58808 cents 1: 1 207.95188 cents 1: 1 241.39780 cents 2: 1 152.55302 cents 2: 1 192.77513 cents 2: 1 193.64496 cents 2: 1 204.24118 cents 2: 1 271.37613 cents 2: 1 330.43187 cents 2: 1 334.25190 cents 2: 1 347.53997 cents 2: 1 373.18585 cents 3: 1 263.94009 cents 3: 1 275.03301 cents 3: 1 285.62923 cents 3: 1 401.59684 cents 3: 1 445.63897 cents 3: 1 466.03995 cents 3: 1 470.01996 cents 3: 1 479.32801 cents 3: 1 512.77393 cents 4: 1 356.79420 cents 4: 1 386.42009 cents 4: 1 482.98489 cents 4: 1 527.02703 cents 4: 1 541.18492 cents 4: 1 577.42702 cents 4: 1 601.80801 cents 4: 1 605.62803 cents 4: 1 720.72581 cents 5: 1 479.27419 cents 5: 1 594.37197 cents 5: 1 598.19199 cents 5: 1 622.57298 cents 5: 1 658.81508 cents 5: 1 672.97297 cents 5: 1 717.01511 cents 5: 1 813.57991 cents 5: 1 843.20580 cents 6: 1 687.22607 cents 6: 1 720.67199 cents 6: 1 729.98004 cents 6: 1 733.96005 cents 6: 1 754.36103 cents 6: 1 798.40316 cents 6: 1 914.37077 cents 6: 1 924.96699 cents 6: 1 936.05991 cents 7: 1 826.81415 cents 7: 1 852.46004 cents 7: 1 865.74810 cents 7: 1 869.56813 cents 7: 1 928.62387 cents 7: 1 995.75882 cents 7: 1 1006.35504 cents 7: 1 1007.22487 cents 7: 1 1047.44698 cents 8: 1 958.60220 cents 8: 1 992.04812 cents 8: 1 1060.41192 cents 8: 1 1068.21195 cents 8: 1 1077.52001 cents 8: 1 1088.61293 cents 8: 1 1107.14590 cents 8: 1 1118.61195 cents 8: 1 1128.83503 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 131.8 271.4 479.3 601.8 673.0 754.4 865.7 958.6 1200.0 131.8 : 139.6 347.5 470.0 541.2 622.6 734.0 826.8 1068.2 1200.0 271.4 : 208.0 330.4 401.6 483.0 594.4 687.2 928.6 1060.4 1200.0 479.3 : 122.5 193.6 275.0 386.4 479.3 720.7 852.5 992.0 1200.0 601.8 : 71.2 152.6 263.9 356.8 598.2 730.0 869.6 1077.5 1200.0 673.0 : 81.4 192.8 285.6 527.0 658.8 798.4 1006.4 1128.8 1200.0 754.4 : 111.4 204.2 445.6 577.4 717.0 925.0 1047.4 1118.6 1200.0 865.7 : 92.9 334.3 466.0 605.6 813.6 936.1 1007.2 1088.6 1200.0 958.6 : 241.4 373.2 512.8 720.7 843.2 914.4 995.8 1107.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1650 .. 241.3978 cents 170.23283 cents 71.16497 cents 2: 152.5530 .. 373.1858 cents 220.63283 cents -88.84478 cents 3: 263.9401 .. 512.7739 cents 248.83384 cents -109.24575 cents 4: 356.7942 .. 720.7258 cents 363.93162 cents -155.97973 cents 5: 479.2742 .. 843.2058 cents 363.93162 cents -241.45162 cents 6: 687.2261 .. 936.0599 cents 248.83384 cents -155.97973 cents 7: 826.8142 .. 1047.4470 cents 220.63283 cents -109.24575 cents 8: 958.6022 .. 1128.8350 cents 170.23283 cents -88.84478 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 71.16497 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 241.39780 cents Average / Smallest step : 1.873581 Largest / Average step : 1.810483 Largest / Smallest step : 3.392088 Median interval of one step : 122.47999 cents, amount: 1 Least squares average step : 129.61348 cents, oct.: 1166.52132 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : FGHEABDCI Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.05383 cents Scale diversity : 1.679473 Lumma stability : 0.118608 Lumma impropriety factor : 0.708174 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.05383 cents Number of recognisable fifths : 2, average 702.1206 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 1 1 2 1 0 1 1 0 2 N SD: 40.1065 c. M:-67.5852 c. 10: 1 1 2 1 1 0 1 1 2 N S SD: 24.0006 c. M:-47.0270 c. 14: 2 1 3 1 1 1 1 1 3 N SD: 20.4800 c. M:-39.6405 c. 15: 2 1 3 2 0 1 2 1 3 N G SD: 25.1935 c. M:-38.1920 c. 16: 2 2 2 2 1 1 2 1 3 N SD: 19.6627 c. M:-34.2519 c. 18: 2 2 3 2 1 1 2 1 4 N SD: 12.0621 c. M: 25.2689 c. 22: 2 3 4 2 1 2 2 2 4 N SD: 13.6124 c. M:-23.2160 c. 25: 3 3 4 3 1 2 2 2 5 N SD: 11.1075 c. M:-22.1920 c. 26: 3 3 4 3 2 1 3 2 5 N SD: 11.8299 c. M:-19.3347 c. 30: 3 4 5 3 2 2 3 2 6 N SD: 7.4781 c. M:-14.2519 c. 35: 4 4 6 4 2 2 3 3 7 N SD: 7.5358 c. M:-15.3349 c. 36: 4 4 6 4 2 3 3 3 7 N SD: 7.0334 c. M: 12.6613 c. 40: 4 5 7 4 2 3 4 3 8 N SD: 6.2532 c. M: 12.9730 c. 43: 5 5 7 5 2 3 4 3 9 N SD: 6.6467 c. M:-12.1455 c. 44: 5 5 8 4 3 3 4 3 9 N SD: 6.5793 c. M:-11.5811 c. 46: 5 5 8 5 3 3 4 4 9 N SD: 5.8783 c. M: 10.5066 c. 48: 5 6 8 5 3 3 5 3 10 N SD: 5.4153 c. M:-9.2519 c. 50: 5 6 9 5 3 3 5 4 10 N SD: 5.8727 c. M: 11.7880 c. 53: 6 6 9 6 3 3 5 4 11 N SD: 5.7785 c. M:-9.5127 c. 54: 6 6 10 5 3 4 5 4 11 N SD: 4.3534 c. M:-9.5609 c. 60: 7 7 10 6 4 4 5 5 12 N SD: 5.3924 c. M:-8.6239 c. 61: 7 7 10 7 3 4 6 5 12 N SD: 5.3695 c. M:-8.0281 c. 62: 7 7 11 6 4 4 6 5 12 N SD: 4.3271 c. M:-9.1397 c. 70: 8 8 12 7 4 5 7 5 14 N SD: 3.8742 c. M:-8.5376 c. 71: 8 8 12 8 4 5 6 6 14 N SD: 4.4583 c. M:-6.6427 c. 72: 8 8 13 7 4 5 7 5 15 N SD: 4.4411 c. M: 8.6022 c. 73: 8 9 12 8 4 5 7 5 15 N SD: 4.4018 c. M:-8.0759 c. 75: 8 9 13 8 4 5 7 6 15 N SD: 2.6887 c. M:-6.1920 c. 76: 8 9 13 8 5 5 7 6 15 N SD: 4.0808 c. M:-5.9744 c. 78: 9 9 13 8 5 5 7 6 16 N SD: 3.9520 c. M:-6.6735 c. 80: 9 9 14 8 5 5 8 6 16 N SD: 2.5623 c. M: 4.3610 c. 100: 11 12 17 10 6 7 9 8 20 N SD: 1.9376 c. M:-4.6239 c. 110: 12 13 19 11 7 7 10 9 22 N SD: 2.0516 c. M: 3.9299 c. 111: 12 13 19 12 6 8 10 9 22 N SD: 2.5438 c. M: 3.6523 c. 116: 13 13 20 12 7 8 11 9 23 N SD: 2.3967 c. M:-3.4668 c. 118: 13 14 20 12 7 8 11 9 24 N SD: 1.8549 c. M:-3.2001 c. 143: 16 16 25 15 8 10 13 11 29 N SD: 1.8337 c. M: 2.8447 c. 145: 16 17 25 15 8 10 14 11 29 N SD: 1.8272 c. M:-3.2174 c. 148: 16 17 26 15 9 10 14 11 30 N SD: 1.8173 c. M: 3.8086 c. 155: 17 18 27 16 9 10 15 12 31 N SD: 1.5101 c. M: 3.3933 c. 164: 18 19 28 17 10 11 15 13 33 N SD: 1.6158 c. M: 3.7183 c. 173: 19 20 30 18 10 12 16 13 35 N SD: 1.0819 c. M:-1.7083 c. 218: 24 25 38 22 13 15 20 17 44 N SD: 1.1213 c. M: 1.8080 c. 237: 26 28 41 24 14 16 22 18 48 N SD: 1.0775 c. M:-2.0416 c. 243: 27 28 42 25 14 17 22 19 49 N SD: 1.0007 c. M: 1.5506 c. 248: 27 29 43 25 15 17 23 19 50 N SD: 0.7920 c. M: 1.8080 c. 273: 30 32 47 28 16 19 25 21 55 N SD: 0.7243 c. M:-1.6829 c. 283: 31 33 49 29 17 19 26 22 57 N SD: 0.5324 c. M:-1.2320 c. 353: 39 41 61 36 21 24 33 27 71 N SD: 0.5066 c. M:-1.1074 c. 401: 44 47 69 41 24 27 37 31 81 N SD: 0.6033 c. M: 0.9962 c. 403: 44 47 70 41 24 27 38 31 81 N SD: 0.5272 c. M: 1.0112 c. 421: 46 49 73 43 25 29 39 32 85 N SD: 0.6302 c. M:-0.9834 c. 423: 46 50 73 43 25 29 39 33 85 N SD: 0.6273 c. M: 1.2916 c. 428: 47 50 74 44 25 29 40 33 86 N SD: 0.4500 c. M:-0.9957 c. 439: 48 51 76 45 26 30 41 34 88 N SD: 0.6372 c. M: 0.9681 c. 446: 49 52 77 46 26 30 42 34 90 N SD: 0.5907 c. M: 0.9978 c. 453: 50 52 79 46 27 31 42 35 91 N SD: 0.5581 c. M: 1.1775 c. 456: 50 53 79 47 27 31 42 35 92 N SD: 0.5571 c. M:-0.9021 c. 463: 51 54 80 47 28 31 43 36 93 N SD: 0.4690 c. M:-0.8931 c. 464: 51 54 80 48 27 32 43 36 93 N SD: 0.6295 c. M:-0.8806 c. 466: 51 54 81 48 27 32 43 36 94 N SD: 0.6132 c. M: 0.9899 c. 471: 52 55 81 48 28 32 44 36 95 N SD: 0.6009 c. M:-1.2353 c. 473: 52 55 82 48 28 32 44 37 95 N SD: 0.4828 c. M: 0.8727 c. 503: 55 59 87 51 30 34 47 39 101 N SD: 0.4267 c. M: 0.6152 c. 528: 58 61 92 54 31 36 49 41 106 N SD: 0.4045 c. M: 0.9216 c. 571: 63 66 99 58 34 39 53 44 115 N SD: 0.3903 c. M: 0.7572 c. 592: 65 69 102 61 35 40 55 46 119 N SD: 0.3623 c. M: 0.9496 c. 606: 67 70 105 62 36 41 56 47 122 N SD: 0.3539 c. M:-0.8852 c. 628: 69 73 109 64 37 43 58 49 126 N SD: 0.3028 c. M:-0.6335 c. 636: 70 74 110 65 38 43 59 49 128 N SD: 0.2976 c. M:-0.6119 c. 646: 71 75 112 66 38 44 60 50 130 N SD: 0.2048 c. M: 0.5272 c. 676: 74 79 117 69 40 46 63 52 136 N SD: 0.2476 c. M:-0.5241 c. 786: 86 92 136 80 47 53 73 61 158 N SD: 0.2647 c. M: 0.4903 c. 819: 90 95 142 84 48 56 76 63 165 N SD: 0.2809 c. M: 0.4455 c. 826: 91 96 143 84 49 56 77 64 166 N SD: 0.2803 c. M:-0.4153 c. 854: 94 99 148 87 51 58 79 66 172 N SD: 0.2303 c. M: 0.4029 c. 911: 100 106 158 93 54 62 84 71 183 N SD: 0.2279 c. M:-0.4139 c. 929: 102 108 161 95 55 63 86 72 187 N SD: 0.1318 c. M: 0.3014 c. 1109: 122 129 192 113 66 75 103 86 223 N SD: 0.1437 c. M:-0.2228 c. 1282: 141 149 222 131 76 87 119 99 258 N SD: 0.0937 c. M:-0.1932 c. 1605: 176 187 278 164 95 109 149 124 323 N SD: 0.0871 c. M: 0.1993 c. 1755: 193 204 304 179 104 119 163 136 353 N SD: 0.1120 c. M:-0.1778 c. 1785: 196 208 309 182 106 121 166 138 359 N SD: 0.1016 c. M:-0.2205 c. 1920: 211 223 333 196 114 130 178 149 386 N SD: 0.1003 c. M:-0.1520 c. 1928: 212 224 334 197 114 131 179 149 388 N SD: 0.0869 c. M:-0.1622 c. 2038: 224 237 353 208 121 138 189 158 410 N SD: 0.0859 c. M: 0.1936 c. 2068: 227 241 358 211 123 140 192 160 416 N SD: 0.0857 c. M:-0.1906 c. 2211: 243 257 383 226 131 150 205 171 445 N SD: 0.0741 c. M: 0.1219 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x 4 S SD: 14.4910 cents 3 x x 4 x x x 5 x 6 S SD: 8.7982 cents 4 x x 5 x 6 x x 7:8 S SD: 24.4900 cents 5 x 6 x 7 x x 8:9:10 S SD: 18.4634 cents 6 x 7:8 x 9 x 10 x 12 S SD: 7.8916 cents 7 x 8:9:10 x 11 x 12:14 S SD: 12.0874 cents 8 x 9 x 11:12 x 13:14:16 SD: 15.5291 cents 9:10:11:12:13 x 14:15:16:18 S SD: 13.5600 cents 10:11:12:13:14:15 x 16:17:20 SD: 11.9980 cents 11:12:13:15 x 16:17:18:19:22 SD: 8.7601 cents 12:13:14:16:17:18:19:20:21:24 S SD: 6.4846 cents 17:18:20:22:24:25:26:28:30:34 SD: 6.3662 cents 19:21:22:25:27:28:29:31:33:38 SD: 6.0144 cents 22:24:26:29:31:32:34:36:38:44 SD: 4.5236 cents 23:25:27:30:33:34:36:38:40:46 SD: 4.4263 cents 24:26:28:32:34:35:37:40:42:48 SD: 3.9834 cents 28:30:33:37:40:41:43:46:49:56 SD: 3.5519 cents 29:31:34:38:41:43:45:48:50:58 SD: 3.1887 cents 34:37:40:45:48:50:53:56:59:68 SD: 2.7742 cents 38:41:44:50:54:56:59:63:66:76 SD: 2.5416 cents 40:43:47:53:57:59:62:66:70:80 SD: 2.2772 cents 46:50:54:61:65:68:71:76:80:92 SD: 2.0125 cents 48:52:56:63:68:71:74:79:84:96 SD: 1.9335 cents 51:55:60:67:72:75:79:84:89:102 SD: 1.7322 cents 53:57:62:70:75:78:82:87:92:106 SD: 1.2741 cents 65:70:76:86:92:96:100:107:113:130 SD: 1.2622 cents 77:83:90:102:109:114:119:127:134:154 SD: 1.1224 cents 88:95:103:116:125:130:136:145:153:176 SD: 0.7554 cents 123:133:144:162:174:181:190:203:214:246 SD: 0.7485 cents 125:135:146:165:177:184:193:206:217:250 SD: 0.7329 cents 128:138:150:169:181:189:198:211:223:256 SD: 0.6054 cents 137:148:160:181:194:202:212:226:238:274 SD: 0.5969 cents 154:166:180:203:218:227:238:254:268:308 SD: 0.3351 cents 200:216:234:264:283:295:309:330:348:400 SD: 0.3109 cents 242:261:283:319:343:357:374:399:421:484 SD: 0.2915 cents 253:273:296:334:358:373:391:417:440:506 SD: 0.2552 cents 276:298:323:364:391:407:427:455:480:552 SD: 0.2519 cents 330:356:386:435:467:487:510:544:574:660 SD: 0.1981 cents 354:382:414:467:501:522:547:584:616:708 SD: 0.1883 cents 419:452:490:553:593:618:648:691:729:838 SD: 0.1666 cents 430:464:503:567:609:634:665:709:748:860 SD: 0.1433 cents 495:534:579:653:701:730:765:816:861:990 SD: 0.1392 cents 507:547:593:669:718:748:784:836:882:1014 SD: 0.1177 cents