Scala analysis: CD01_14_saba_Egypt
Baisse tes paupières / J'aime un astre - Darwîsh Muhammad al-Harîrî (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 141.315 cents 141.315273 2: 272.600 cents 272.599735 3: 412.757 cents 412.757387 4: 664.868 cents 664.868211 5: 817.532 cents 817.532005 6: 961.945 cents 961.945098 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 238.0549 cents 238.0549 1: 141.3153 cents 141.3153 2: 131.2845 cents 131.2845 3: 140.1577 cents 140.1577 4: 252.1108 cents 252.1108 5: 152.6638 cents 152.6638 6: 144.4131 cents 144.4131 7: 238.0549 cents 238.0549
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 131.28446 cents 1: 1 140.15765 cents 1: 1 141.31527 cents 1: 1 144.41309 cents 1: 1 152.66379 cents 1: 1 238.05490 cents 1: 1 252.11082 cents 2: 1 271.44211 cents 2: 1 272.59974 cents 2: 1 297.07689 cents 2: 1 379.37017 cents 2: 1 382.46799 cents 2: 1 392.26848 cents 2: 1 404.77462 cents 3: 1 412.75739 cents 3: 1 510.65464 cents 3: 1 523.55294 cents 3: 1 523.78327 cents 3: 1 535.13179 cents 3: 1 544.93227 cents 3: 1 549.18771 cents 4: 1 650.81229 cents 4: 1 655.06773 cents 4: 1 664.86821 cents 4: 1 676.21673 cents 4: 1 676.44706 cents 4: 1 689.34536 cents 4: 1 787.24261 cents 5: 1 795.22538 cents 5: 1 807.73152 cents 5: 1 817.53201 cents 5: 1 820.62983 cents 5: 1 902.92311 cents 5: 1 927.40026 cents 5: 1 928.55789 cents 6: 1 947.88918 cents 6: 1 961.94510 cents 6: 1 1047.33621 cents 6: 1 1055.58691 cents 6: 1 1058.68473 cents 6: 1 1059.84235 cents 6: 1 1068.71554 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 : 141.3 272.6 412.8 664.9 817.5 961.9 1200.0 141.3 : 131.3 271.4 523.6 676.2 820.6 1058.7 1200.0 272.6 : 140.2 392.3 544.9 689.3 927.4 1068.7 1200.0 412.8 : 252.1 404.8 549.2 787.2 928.6 1059.8 1200.0 664.9 : 152.7 297.1 535.1 676.4 807.7 947.9 1200.0 817.5 : 144.4 382.5 523.8 655.1 795.2 1047.3 1200.0 961.9 : 238.1 379.4 510.7 650.8 902.9 1055.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.2845 .. 252.1108 cents 120.82636 cents 131.28446 cents 2: 271.4421 .. 404.7746 cents 133.33250 cents 19.33129 cents 3: 412.7574 .. 549.1877 cents 136.43032 cents 7.98277 cents 4: 650.8123 .. 787.2426 cents 136.43032 cents 101.62458 cents 5: 795.2254 .. 928.5579 cents 133.33250 cents 7.98277 cents 6: 947.8892 .. 1068.7155 cents 120.82636 cents 19.33129 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 131.28446 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 252.11082 cents Average / Smallest step : 1.305780 Largest / Average step : 1.470646 Largest / Smallest step : 1.920340 Median interval of one step : 144.41309 cents, amount: 1 Least squares average step : 163.16850 cents, oct.: 1142.17952 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CABGEDF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.98277 cents Scale diversity : 1.390468 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.349018 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 : 0.23033 cents Number of recognisable fifths : 1, average 689.3454 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 136.4303 cents: 3 -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 110.9222 c. M: 150.5825 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 46.0107 c. M: 67.5320 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 14.0961 c. M: 28.6118 c. 20: 2 3 2 4 3 2 4 P T3 SD: 15.9905 c. M:-27.4003 c. 21: 2 3 2 5 2 3 4 P SD: 16.4630 c. M: 27.0296 c. 22: 3 2 3 4 3 3 4 SP T3 S SD: 14.9161 c. M:-23.6062 c. 23: 3 2 3 5 3 2 5 P T3 SD: 14.0802 c. M: 22.8147 c. 24: 3 2 3 5 3 3 5 P T3 S SD: 14.2430 c. M: 22.5997 c. 25: 3 3 3 5 3 3 5 SP M DE S SD: 9.7954 c. M:-19.2426 c. Pelogic-7, Antilydian 26: 3 3 3 5 4 3 5 P SD: 9.3524 c. M: 18.7144 c. 29: 3 4 3 6 4 3 6 P T3 SD: 10.6932 c. M: 17.1773 c. 31: 4 3 4 6 4 4 6 SP T3 S SD: 8.0812 c. M:-13.5234 c. 32: 4 3 4 7 4 4 6 P SD: 8.5050 c. M:-13.0549 c. 34: 4 4 4 7 4 4 7 SP M DE S SD: 7.1537 c. M:-10.7720 c. 35: 4 4 4 7 5 4 7 P SD: 5.7914 c. M: 13.4396 c. 40: 5 4 5 8 5 5 8 SP T3 S SD: 5.5915 c. M:-8.6847 c. 41: 5 4 5 9 5 5 8 P SD: 5.4349 c. M: 9.1851 c. 44: 5 5 5 9 6 5 9 P SD: 5.3414 c. M: 10.3228 c. 50: 6 5 6 11 6 6 10 P SD: 4.7927 c. M: 8.5997 c. 56: 7 6 6 12 7 7 11 P SD: 4.7654 c. M:-8.6847 c. 60: 7 7 7 12 8 7 12 SP SD: 4.5123 c. M:-7.4003 c. 61: 7 7 7 13 8 7 12 P SD: 4.0802 c. M:-8.6975 c. 65: 8 7 7 14 8 8 13 P SD: 4.3770 c. M: 6.6035 c. 66: 8 7 8 14 8 8 13 SP SD: 3.9932 c. M:-7.8591 c. 67: 8 7 8 14 9 8 13 P SD: 3.6330 c. M:-6.3486 c. 69: 8 8 8 14 9 8 14 SP SD: 3.8492 c. M:-5.6611 c. 70: 8 8 8 15 9 8 14 P SD: 3.1138 c. M:-5.3251 c. 76: 9 8 9 16 10 9 15 P SD: 2.3861 c. M: 4.1787 c. 85: 10 9 10 18 11 10 17 P SD: 2.3147 c. M: 4.3644 c. 87: 10 10 10 18 11 11 17 SP SD: 2.8721 c. M: 3.7389 c. 92: 11 10 11 19 12 11 18 SP SD: 2.8387 c. M:-4.6339 c. 96: 11 11 11 20 12 12 19 SP SD: 2.7156 c. M: 5.0320 c. 101: 12 11 12 21 13 12 20 SP SD: 1.5634 c. M:-3.0842 c. 110: 13 12 13 23 14 13 22 SP SD: 1.0701 c. M: 1.9451 c. 172: 20 19 20 36 22 21 34 SP SD: 1.2707 c. M: 2.0775 c. 181: 21 20 21 38 23 22 36 SP SD: 1.5152 c. M: 2.0888 c. 186: 22 20 22 39 24 22 37 SP SD: 0.9960 c. M:-1.8228 c. 197: 23 22 23 41 25 24 39 SP SD: 1.1088 c. M:-1.5119 c. 229: 27 25 27 48 29 28 45 SP SD: 0.9983 c. M:-2.2470 c. 238: 28 26 28 50 30 29 47 SP SD: 0.6273 c. M:-1.0801 c. 273: 32 30 32 57 35 33 54 SP SD: 0.5835 c. M: 1.1319 c. 282: 33 31 33 59 36 34 56 SP SD: 0.5678 c. M: 1.0384 c. 323: 38 35 38 68 41 39 64 SP SD: 0.5654 c. M: 1.3923 c. 338: 40 37 39 71 43 41 67 SP SD: 0.7393 c. M: 0.9640 c. 339: 40 37 40 71 43 41 67 SP SD: 0.6804 c. M:-1.4019 c. 348: 41 38 41 73 44 42 69 SP SD: 0.4829 c. M:-1.0357 c. 357: 42 39 42 75 45 43 71 SP SD: 0.5276 c. M: 0.7253 c. 383: 45 42 45 80 49 46 76 SP SD: 0.4205 c. M:-0.8196 c. 392: 46 43 46 82 50 47 78 SP SD: 0.4508 c. M: 0.7206 c. 424: 50 46 50 89 54 51 84 SP SD: 0.4408 c. M: 0.9016 c. 433: 51 47 51 91 55 52 86 SP SD: 0.4125 c. M: 1.0062 c. 448: 53 49 52 94 57 54 89 SP SD: 0.4842 c. M:-0.6490 c. 489: 58 53 57 103 62 59 97 SP SD: 0.4575 c. M:-1.0160 c. 509: 60 56 59 107 65 61 101 SP SD: 0.4004 c. M:-0.8777 c. 518: 61 57 60 109 66 62 103 SP SD: 0.3962 c. M:-0.7593 c. 520: 61 57 61 109 66 63 103 SP SD: 0.3876 c. M: 0.6089 c. 529: 62 58 62 111 67 64 105 SP SD: 0.4600 c. M: 0.8968 c. 534: 63 58 63 112 68 64 106 SP SD: 0.4439 c. M:-0.7258 c. 549: 65 60 64 115 70 66 109 SP SD: 0.4289 c. M:-0.7612 c. 550: 65 60 64 116 70 66 109 SP SD: 0.4220 c. M:-0.6498 c. 559: 66 61 65 118 71 67 111 SP SD: 0.3841 c. M:-0.6058 c. 594: 70 65 69 125 76 71 118 SP SD: 0.3799 c. M:-0.6498 c. 605: 71 66 71 127 77 73 120 SP SD: 0.4321 c. M: 0.8642 c. 619: 73 68 72 130 79 74 123 SP SD: 0.3964 c. M:-0.7444 c. 621: 73 68 73 130 79 75 123 SP SD: 0.3487 c. M:-0.7692 c. 630: 74 69 74 132 80 76 125 SP SD: 0.3107 c. M:-0.5759 c. 646: 76 71 75 136 82 78 128 SP SD: 0.2714 c. M:-0.4653 c. 722: 85 79 84 152 92 87 143 SP SD: 0.2706 c. M: 0.5690 c. 731: 86 80 85 154 93 88 145 SP SD: 0.2796 c. M: 0.7191 c. 747: 88 82 87 157 95 90 148 SP SD: 0.2398 c. M:-0.4926 c. 756: 89 83 88 159 96 91 150 SP SD: 0.1813 c. M:-0.4161 c. 765: 90 84 89 161 97 92 152 SP SD: 0.2537 c. M: 0.3765 c. 823: 97 90 96 173 105 99 163 SP SD: 0.2350 c. M:-0.4510 c. 832: 98 91 97 175 106 100 165 SP SD: 0.1413 c. M: 0.2574 c. 942: 111 103 110 198 120 113 187 SP SD: 0.1391 c. M:-0.3024 c. 1070: 126 117 125 225 136 129 212 SP SD: 0.1364 c. M:-0.2979 c. 1079: 127 118 126 227 137 130 214 SP SD: 0.1173 c. M:-0.1920 c. 1180: 139 129 138 248 150 142 234 SP SD: 0.1096 c. M:-0.2165 c. 1189: 140 130 139 250 151 143 236 SP SD: 0.1080 c. M:-0.2285 c. 1224: 144 134 143 257 156 147 243 SP SD: 0.1160 c. M: 0.1804 c. 1462: 172 160 171 307 186 176 290 SP SD: 0.0762 c. M: 0.1388 c. 1980: 233 217 231 416 252 238 393 SP SD: 0.0813 c. M:-0.1275 c. 2021: 238 221 236 425 257 243 401 SP SD: 0.0785 c. M:-0.1491 c. 2209: 260 242 258 464 281 266 438 SP SD: 0.0789 c. M:-0.1192 c. 2218: 261 243 259 466 282 267 440 SP SD: 0.0590 c. M: 0.1070 c. 2294: 270 251 268 482 292 276 455 SP SD: 0.0518 c. M:-0.0792 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 18.5434 cents 3 x x 4 x 5 x 6 S SD: 36.1168 cents 4 x x 5:6 x 7:8 S SD: 11.5164 cents 5 x 6 x 7:8:9:10 S SD: 21.6767 cents 6 x 7:8:9:10 x 12 S SD: 22.9330 cents 7 x 8:9:10:11:12:14 S SD: 13.4553 cents 8:9 x 10:12:13:14:16 S SD: 13.5082 cents 9:10 x 11:13:14:16:18 SD: 17.2331 cents 10:11:12:13:15:16:17:20 SD: 12.2872 cents 11:12:13:14:16:18:19:22 SD: 6.5848 cents 22:24:26:28:32:35:38:44 SD: 4.7021 cents 23:25:27:29:34:37:40:46 SD: 2.6757 cents 36:39:42:46:53:58:63:72 SD: 2.5190 cents 45:49:53:57:66:72:78:90 SD: 2.3721 cents 47:51:55:60:69:75:82:94 SD: 1.8869 cents 58:63:68:74:85:93:101:116 SD: 1.4651 cents 70:76:82:89:103:112:122:140 SD: 0.9146 cents 81:88:95:103:119:130:141:162 SD: 0.8509 cents 94:102:110:119:138:151:164:188 SD: 0.8110 cents 116:126:136:147:170:186:202:232 SD: 0.8011 cents 118:128:138:150:173:189:206:236 SD: 0.7435 cents 129:140:151:164:189:207:225:258 SD: 0.7015 cents 141:153:165:179:207:226:246:282 SD: 0.2705 cents 293:318:343:372:430:470:511:586 SD: 0.2172 cents 316:343:370:401:464:507:551:632 SD: 0.2054 cents 386:419:452:490:567:619:673:772 SD: 0.1976 cents 412:447:482:523:605:661:718:824 SD: 0.1976 cents 423:459:495:537:621:678:737:846 SD: 0.1769 cents 446:484:522:566:655:715:777:892 SD: 0.1687 cents 457:496:535:580:671:733:797:914 SD: 0.1622 cents 494:536:578:627:725:792:861:988 SD: 0.1545 cents 517:561:605:656:759:829:901:1034 SD: 0.1131 cents 587:637:687:745:862:941:1023:1174 SD: 0.1102 cents 598:649:700:759:878:959:1042:1196 SD: 0.1005 cents