Scala analysis: CD01_15_saba_Egypt
Le jour où tu me rendras visite / Gloire à Dieu qui t'a rendu parfait / Le soucis par Hasard - 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: 112.428 cents 112.428396 2: 250.889 cents 250.888564 3: 378.357 cents 378.356808 4: 656.180 cents 656.179937 5: 773.357 cents 773.356808 6: 953.720 cents 953.720216 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 246.2798 cents 246.2798 1: 112.4284 cents 112.4284 2: 138.4602 cents 138.4602 3: 127.4682 cents 127.4682 4: 277.8231 cents 277.8231 5: 117.1769 cents 117.1769 6: 180.3634 cents 180.3634 7: 246.2798 cents 246.2798
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 112.42840 cents 1: 1 117.17687 cents 1: 1 127.46824 cents 1: 1 138.46017 cents 1: 1 180.36341 cents 1: 1 246.27978 cents 1: 1 277.82313 cents 2: 1 250.88856 cents 2: 1 265.92841 cents 2: 1 297.54028 cents 2: 1 358.70818 cents 2: 1 395.00000 cents 2: 1 405.29137 cents 2: 1 426.64319 cents 3: 1 378.35681 cents 3: 1 497.16835 cents 3: 1 522.46824 cents 3: 1 539.07159 cents 3: 1 543.75154 cents 3: 1 543.82006 cents 3: 1 575.36341 cents 4: 1 624.63659 cents 4: 1 656.17994 cents 4: 1 656.24846 cents 4: 1 660.92841 cents 4: 1 677.53176 cents 4: 1 702.83165 cents 4: 1 821.64319 cents 5: 1 773.35681 cents 5: 1 794.70863 cents 5: 1 805.00000 cents 5: 1 841.29182 cents 5: 1 902.45972 cents 5: 1 934.07159 cents 5: 1 949.11144 cents 6: 1 922.17687 cents 6: 1 953.72022 cents 6: 1 1019.63659 cents 6: 1 1061.53983 cents 6: 1 1072.53176 cents 6: 1 1082.82313 cents 6: 1 1087.57160 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 : 112.4 250.9 378.4 656.2 773.4 953.7 1200.0 112.4 : 138.5 265.9 543.8 660.9 841.3 1087.6 1200.0 250.9 : 127.5 405.3 522.5 702.8 949.1 1061.5 1200.0 378.4 : 277.8 395.0 575.4 821.6 934.1 1072.5 1200.0 656.2 : 117.2 297.5 543.8 656.2 794.7 922.2 1200.0 773.4 : 180.4 426.6 539.1 677.5 805.0 1082.8 1200.0 953.7 : 246.3 358.7 497.2 624.6 902.5 1019.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 112.4284 .. 277.8231 cents 165.39473 cents 112.42840 cents 2: 250.8886 .. 426.6432 cents 175.75463 cents -26.93456 cents 3: 378.3568 .. 575.3634 cents 197.00660 cents -48.28638 cents 4: 624.6366 .. 821.6432 cents 197.00660 cents 49.27318 cents 5: 773.3568 .. 949.1114 cents 175.75463 cents -48.28638 cents 6: 922.1769 .. 1087.5716 cents 165.39473 cents -26.93456 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 112.42840 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 277.82313 cents Average / Smallest step : 1.524780 Largest / Average step : 1.620635 Largest / Smallest step : 2.471112 Median interval of one step : 138.46017 cents, amount: 1 Least squares average step : 159.73644 cents, oct.: 1118.15505 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : ADCGBEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.60878 cents Scale diversity : 1.586484 Lumma stability : 0.228442 Lumma impropriety factor : 0.125368 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 : 0.06852 cents Number of recognisable fifths : 1, average 702.8317 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 90.5196 c. M: 141.8942 c. 8: 0 1 1 2 1 1 2 N T3 SD: 71.2601 c. M: 112.4284 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 18.4772 c. M:-26.6432 c. 19: 2 2 2 4 2 3 4 N SD: 12.4262 c. M: 24.6010 c. 20: 2 2 2 5 2 3 4 N SD: 9.3429 c. M: 18.3568 c. 25: 2 3 3 6 2 4 5 N SD: 10.2727 c. M: 16.4284 c. 28: 3 3 3 6 3 4 6 N SD: 9.6590 c. M:-16.1430 c. 29: 3 3 3 7 3 4 6 N SD: 7.3974 c. M:-12.8501 c. 33: 3 4 3 8 3 5 7 N SD: 7.6222 c. M: 14.7204 c. 34: 3 4 4 8 3 5 7 N SD: 7.2997 c. M:-14.4083 c. 40: 4 4 5 9 4 6 8 N SD: 7.6496 c. M:-11.6432 c. 42: 4 5 4 10 4 6 9 N SD: 5.5190 c. M: 10.8631 c. 44: 4 5 5 10 4 7 9 N SD: 4.6366 c. M: 9.7204 c. 53: 5 6 6 12 5 8 11 N SD: 3.1010 c. M:-6.5489 c. 73: 7 8 8 17 7 11 15 N SD: 2.0050 c. M: 4.3132 c. 99: 9 12 10 23 10 15 20 N SD: 2.7920 c. M:-3.8555 c. 101: 9 12 11 23 10 15 21 N SD: 2.7894 c. M: 5.4977 c. 104: 10 12 11 24 10 16 21 N SD: 2.4334 c. M:-3.9721 c. 115: 11 13 12 27 11 17 24 N SD: 2.1776 c. M: 4.1550 c. 121: 11 14 13 28 12 18 25 N SD: 1.9841 c. M: 3.3375 c. 126: 12 14 14 29 12 19 26 N SD: 1.9754 c. M: 3.2695 c. 130: 12 15 14 30 13 19 27 N SD: 1.6460 c. M: 2.9510 c. 150: 14 17 16 35 15 22 31 N SD: 1.8539 c. M: 2.8886 c. 152: 14 18 16 35 15 23 31 N SD: 1.2150 c. M: 1.9021 c. 161: 15 19 17 37 16 24 33 N SD: 1.3794 c. M:-2.5276 c. 172: 16 20 18 40 17 26 35 N SD: 1.1315 c. M:-2.0937 c. 181: 17 21 19 42 18 27 37 N SD: 1.0561 c. M:-2.3338 c. 205: 19 24 22 47 20 31 42 N SD: 1.0443 c. M:-2.1310 c. 216: 20 25 23 50 21 33 44 N SD: 1.0627 c. M:-1.8353 c. 225: 21 26 24 52 22 34 46 N SD: 0.4238 c. M:-0.9465 c. 267: 25 31 28 62 26 40 55 N SD: 0.5684 c. M: 0.9112 c. 298: 28 34 32 69 29 45 61 N SD: 0.5507 c. M: 1.2241 c. 340: 32 39 36 79 33 51 70 N SD: 0.4958 c. M: 0.7790 c. 459: 43 53 49 106 45 69 94 N SD: 0.3906 c. M:-0.7282 c. 483: 45 56 51 112 47 73 99 N SD: 0.4718 c. M: 0.7171 c. 492: 46 57 52 114 48 74 101 N SD: 0.2084 c. M:-0.3309 c. 565: 53 65 60 131 55 85 116 N SD: 0.1964 c. M: 0.3037 c. 717: 67 83 76 166 70 108 147 N SD: 0.1775 c. M: 0.2945 c. 726: 68 84 77 168 71 109 149 N SD: 0.1637 c. M:-0.3511 c. 790: 74 91 84 183 77 119 162 N SD: 0.1519 c. M: 0.2557 c. 799: 75 92 85 185 78 120 164 N SD: 0.1177 c. M:-0.2124 c. 1024: 96 118 109 237 100 154 210 N SD: 0.1121 c. M:-0.1860 c. 1291: 121 149 137 299 126 194 265 N SD: 0.0463 c. M:-0.0797 c. 1516: 142 175 161 351 148 228 311 N SD: 0.0441 c. M:-0.1056 c. 2081: 195 240 221 482 203 313 427 N SD: 0.0516 c. M: 0.0771 c. 2315: 217 267 246 536 226 348 475 N SD: 0.0441 c. M:-0.0620 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: 22.8875 cents 3 x x 4 x x 5:6 S SD: 46.1113 cents 4 x x 5:6 x 7:8 S SD: 12.2139 cents 5 x x 6:7:8:9:10 S SD: 24.5494 cents 6 x 7 x 9 x 10:12 SD: 21.1569 cents 7 x 8:9:10:11:12:14 S SD: 12.4846 cents 8 x 9:10:12:13:14:16 S SD: 15.9040 cents 9 x 10:11:13:14:16:18 SD: 14.8110 cents 10:11 x 12:15:16:17:20 SD: 17.9890 cents 11:12:13:14:16:17:19:22 SD: 10.0640 cents 12:13:14:15:18:19:21:24 SD: 8.8279 cents 13:14:15:16:19:20:23:26 SD: 7.1955 cents 18:19:21:22:26:28:31:36 SD: 6.6704 cents 19:20:22:24:28:30:33:38 SD: 6.0324 cents 20:21:23:25:29:31:35:40 SD: 5.5953 cents 25:27:29:31:37:39:43:50 SD: 5.0411 cents 26:28:30:32:38:41:45:52 SD: 4.2030 cents 28:30:32:35:41:44:49:56 SD: 4.1139 cents 30:32:35:37:44:47:52:60 SD: 3.3619 cents 32:34:37:40:47:50:56:64 SD: 2.9797 cents 41:44:47:51:60:64:71:82 SD: 2.5952 cents 44:47:51:55:64:69:76:88 SD: 2.1770 cents 45:48:52:56:66:70:78:90 SD: 1.5744 cents 57:61:66:71:83:89:99:114 SD: 1.2471 cents 78:83:90:97:114:122:135:156 SD: 1.0340 cents 89:95:103:111:130:139:154:178 SD: 0.9376 cents 91:97:105:113:133:142:158:182 SD: 0.8755 cents 102:109:118:127:149:159:177:204 SD: 0.8175 cents 122:130:141:152:178:191:212:244 SD: 0.8042 cents 135:144:156:168:197:211:234:270 SD: 0.3689 cents 193:206:223:240:282:302:335:386 SD: 0.3504 cents 238:254:275:296:348:372:413:476 SD: 0.2834 cents 282:301:326:351:412:441:489:564 SD: 0.1860 cents 373:398:431:464:545:583:647:746 SD: 0.1292 cents 430:459:497:535:628:672:746:860 SD: 0.1243 cents 577:616:667:718:843:902:1001:1154 SD: 0.1203 cents