Scala analysis: CD03_05_Egypt
Nous voyons le collier / Lève-toi et viens vers la taverne - Darwîsh Muhammad al-Harîrî (ushshaq misri, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 139.165 cents 139.164813 2: 341.070 cents 341.069893 3: 490.181 cents 490.181263 4: 643.785 cents 643.785309 5: 801.571 cents 801.571336 6: 1033.257 cents 1033.256540 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 166.7435 cents 166.7435 1: 139.1648 cents 139.1648 2: 201.9051 cents 201.9051 3: 149.1114 cents 149.1114 4: 153.6040 cents 153.6040 5: 157.7860 cents 157.7860 6: 231.6852 cents 231.6852 7: 166.7435 cents 166.7435
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.16481 cents 1: 1 149.11137 cents 1: 1 153.60405 cents 1: 1 157.78603 cents 1: 1 166.74346 cents 1: 1 201.90508 cents 1: 1 231.68520 cents 2: 1 302.71542 cents 2: 1 305.90827 cents 2: 1 311.39007 cents 2: 1 341.06989 cents 2: 1 351.01645 cents 2: 1 389.47123 cents 2: 1 398.42866 cents 3: 1 460.50144 cents 3: 1 490.18126 cents 3: 1 504.62050 cents 3: 1 507.81335 cents 3: 1 537.59348 cents 3: 1 543.07528 cents 3: 1 556.21469 cents 4: 1 643.78531 cents 4: 1 656.92472 cents 4: 1 662.40652 cents 4: 1 692.18665 cents 4: 1 695.37950 cents 4: 1 709.81874 cents 4: 1 739.49856 cents 5: 1 801.57134 cents 5: 1 810.52877 cents 5: 1 848.98355 cents 5: 1 858.93011 cents 5: 1 888.60993 cents 5: 1 894.09173 cents 5: 1 897.28458 cents 6: 1 968.31480 cents 6: 1 998.09492 cents 6: 1 1033.25654 cents 6: 1 1042.21397 cents 6: 1 1046.39595 cents 6: 1 1050.88863 cents 6: 1 1060.83519 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 : 139.2 341.1 490.2 643.8 801.6 1033.3 1200.0 139.2 : 201.9 351.0 504.6 662.4 894.1 1060.8 1200.0 341.1 : 149.1 302.7 460.5 692.2 858.9 998.1 1200.0 490.2 : 153.6 311.4 543.1 709.8 849.0 1050.9 1200.0 643.8 : 157.8 389.5 556.2 695.4 897.3 1046.4 1200.0 801.6 : 231.7 398.4 537.6 739.5 888.6 1042.2 1200.0 1033.3: 166.7 305.9 507.8 656.9 810.5 968.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.1648 .. 231.6852 cents 92.52039 cents 139.16481 cents 2: 302.7154 .. 398.4287 cents 95.71325 cents 71.03021 cents 3: 460.5014 .. 556.2147 cents 95.71325 cents 62.07278 cents 4: 643.7853 .. 739.4986 cents 95.71325 cents 87.57062 cents 5: 801.5713 .. 897.2846 cents 95.71325 cents 62.07278 cents 6: 968.3148 .. 1060.8352 cents 92.52039 cents 71.03021 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 139.16481 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 231.68520 cents Average / Smallest step : 1.231838 Largest / Average step : 1.351497 Largest / Smallest step : 1.664826 Median interval of one step : 157.78603 cents, amount: 1 Least squares average step : 167.67418 cents, oct.: 1173.71928 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AFBCDGE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 62.07278 cents Scale diversity : 1.495638 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.526755 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 : 3.19286 cents Number of recognisable fifths : 3, average 699.1283 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 30.4569 c. M:-55.5715 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 34.3839 c. M: 51.5713 c. 9: 1 2 1 1 1 2 1 P M ME I SD: 31.6479 c. M:-58.9301 c. 10: 1 2 1 1 2 2 1 P D3 S SD: 30.2564 c. M:-46.7435 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 30.1014 c. M: 43.7853 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 13: 2 2 1 2 2 2 2 SP M ME S SD: 26.3404 c. M:-45.4506 c. Oukranian 14: 2 2 2 2 1 3 2 P T3 SD: 24.8244 c. M:-41.9290 c. 15: 2 2 2 2 2 3 2 SP M ME S SD: 12.2123 c. M: 21.0699 c. 22: 3 3 3 3 3 4 3 SP M ME S SD: 13.0444 c. M:-24.4716 c. 24: 3 4 3 3 3 5 3 SP T3 SD: 9.3731 c. M:-16.7435 c. 34: 4 6 4 4 5 6 5 SP SD: 7.8476 c. M:-11.8713 c. 35: 4 6 4 5 4 7 5 SP SD: 7.1744 c. M: 12.9999 c. 36: 4 6 5 4 5 7 5 SP SD: 6.5682 c. M: 10.4520 c. 42: 5 7 5 6 5 8 6 SP SD: 5.8508 c. M:-13.3575 c. 45: 5 8 5 6 6 9 6 SP SD: 5.7478 c. M: 10.1813 c. 49: 6 8 6 6 7 9 7 SP SD: 5.0553 c. M:-7.7740 c. 52: 6 9 6 7 7 10 7 SP SD: 4.2676 c. M:-6.1210 c. 63: 7 11 8 8 8 12 9 SP SD: 3.8152 c. M: 5.8315 c. 71: 8 12 9 9 9 14 10 SP SD: 3.4703 c. M: 7.2051 c. 78: 9 13 10 10 10 15 11 SP SD: 1.9304 c. M: 2.6084 c. 102: 12 17 13 13 13 20 14 SP SD: 2.2956 c. M:-3.9364 c. 115: 13 20 14 15 15 22 16 SP SD: 2.2955 c. M: 3.5126 c. 120: 14 20 15 15 16 23 17 SP SD: 2.0451 c. M: 3.7853 c. 123: 14 21 15 16 16 24 17 SP SD: 1.4991 c. M: 2.5794 c. 130: 15 22 16 17 17 25 18 SP SD: 1.1857 c. M:-2.3685 c. 145: 17 24 18 19 19 28 20 SP SD: 1.4621 c. M: 1.9054 c. 166: 19 28 21 21 22 32 23 SP SD: 1.0713 c. M: 1.8154 c. 172: 20 29 21 22 23 33 24 SP SD: 1.1210 c. M: 1.9248 c. 196: 23 33 24 25 26 38 27 SP SD: 1.1475 c. M:-1.7872 c. 201: 23 34 25 26 26 39 28 SP SD: 1.0721 c. M: 1.8514 c. 208: 24 35 26 27 27 40 29 SP SD: 1.0041 c. M:-2.3685 c. 222: 26 37 28 28 29 43 31 SP SD: 1.1046 c. M:-1.7106 c. 225: 26 38 28 29 29 44 31 SP SD: 1.0287 c. M: 1.5713 c. 235: 27 40 29 30 31 45 33 SP SD: 0.9316 c. M: 1.7672 c. 250: 29 42 31 32 33 48 35 SP SD: 0.5775 c. M: 1.2565 c. 274: 32 46 34 35 36 53 38 SP SD: 0.4588 c. M:-0.9812 c. 352: 41 59 44 45 46 68 49 SP SD: 0.4613 c. M:-0.7278 c. 380: 44 64 47 49 50 73 53 SP SD: 0.4480 c. M: 0.7076 c. 397: 46 67 49 51 52 77 55 SP SD: 0.3931 c. M: 0.5638 c. 404: 47 68 50 52 53 78 56 SP SD: 0.4453 c. M:-0.7691 c. 440: 51 74 55 56 58 85 61 SP SD: 0.3356 c. M:-0.7278 c. 475: 55 80 59 61 62 92 66 SP SD: 0.3308 c. M: 0.7292 c. 524: 61 88 65 67 69 101 73 SP SD: 0.2875 c. M:-0.5298 c. 570: 66 96 71 73 75 110 79 SP SD: 0.3413 c. M:-0.5339 c. 602: 70 101 75 77 79 116 84 SP SD: 0.3305 c. M: 0.6984 c. 612: 71 103 76 78 81 118 85 SP SD: 0.2907 c. M: 0.6481 c. 647: 75 109 80 83 85 125 90 SP SD: 0.2714 c. M: 0.5367 c. 654: 76 110 81 84 86 126 91 SP SD: 0.2350 c. M:-0.2847 c. 690: 80 116 86 88 91 133 96 SP SD: 0.1976 c. M: 0.3070 c. 813: 94 137 101 104 107 157 113 SP SD: 0.1997 c. M: 0.4194 c. 820: 95 138 102 105 108 158 114 SP SD: 0.1682 c. M:-0.3799 c. 964: 112 162 120 123 127 186 134 SP SD: 0.1686 c. M:-0.2752 c. 1087: 126 183 135 139 143 210 151 SP SD: 0.0861 c. M: 0.1791 c. 1217: 141 205 151 156 160 235 169 SP SD: 0.0982 c. M: 0.1344 c. 1491: 173 251 185 191 196 288 207 SP SD: 0.0974 c. M:-0.1776 c. 1569: 182 264 195 201 206 303 218 SP SD: 0.0809 c. M:-0.1917 c. 1741: 202 293 216 223 229 336 242 SP SD: 0.0717 c. M: 0.1181 c. 1819: 211 306 226 233 239 351 253 SP SD: 0.0716 c. M: 0.1614 c. 1907: 221 321 237 244 251 368 265 SP SD: 0.0587 c. M:-0.1067 c. 2181: 253 367 271 279 287 421 303 SP SD: 0.0488 c. M:-0.0793 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: 29.0848 cents 3 x x 4 x 5 x 6 S SD: 27.7200 cents 4 x 5 x 6 x 7:8 S SD: 24.4720 cents 5 x 6 x 7:8:9:10 S SD: 13.8463 cents 6 x 7:8:9:10:11:12 S SD: 21.1241 cents 7:8 x 9:10:11:13:14 SD: 19.7449 cents 8:9:10:11:12:13:15:16 SD: 19.1153 cents 9:10:11:12:13:14:16:18 S SD: 9.8436 cents 12:13:15:16:17:19:22:24 SD: 9.1118 cents 13:14:16:17:19:21:24:26 SD: 7.7070 cents 15:16:18:20:22:24:27:30 S SD: 6.7373 cents 22:24:27:29:32:35:40:44 SD: 3.1540 cents 27:29:33:36:39:43:49:54 SD: 2.8961 cents 36:39:44:48:52:57:65:72 SD: 2.4599 cents 37:40:45:49:54:59:67:74 SD: 2.1180 cents 46:50:56:61:67:73:84:92 SD: 1.8734 cents 49:53:60:65:71:78:89:98 SD: 1.5436 cents 60:65:73:80:87:95:109:120 SD: 1.4365 cents 73:79:89:97:106:116:133:146 SD: 0.9627 cents 82:89:100:109:119:130:149:164 SD: 0.8527 cents 107:116:130:142:155:170:194:214 SD: 0.7950 cents 119:129:145:158:173:189:216:238 SD: 0.6292 cents 129:140:157:171:187:205:234:258 SD: 0.6155 cents 153:166:186:203:222:243:278:306 SD: 0.5418 cents 156:169:190:207:226:248:283:312 SD: 0.4619 cents 180:195:219:239:261:286:327:360 SD: 0.2679 cents 202:219:246:268:293:321:367:404 SD: 0.1666 cents 382:414:465:507:554:607:694:764 SD: 0.1195 cents 584:633:711:775:847:928:1061:1168 SD: 0.1098 cents