Scala analysis: CD09_06_Egypt
Je t'ai supplié au nom de Dieu - La Confrérie Laythiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 219.121 cents 219.121433 2: 345.156 cents 345.156054 3: 585.523 cents 585.523123 4: 735.936 cents 735.935564 5: 870.373 cents 870.373192 6: 1079.411 cents 1079.410934 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 120.5891 cents 120.5891 1: 219.1214 cents 219.1214 2: 126.0346 cents 126.0346 3: 240.3671 cents 240.3671 4: 150.4124 cents 150.4124 5: 134.4376 cents 134.4376 6: 209.0377 cents 209.0377 7: 120.5891 cents 120.5891
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.58907 cents 1: 1 126.03462 cents 1: 1 134.43763 cents 1: 1 150.41244 cents 1: 1 209.03774 cents 1: 1 219.12143 cents 1: 1 240.36707 cents 2: 1 284.85007 cents 2: 1 329.62681 cents 2: 1 339.71050 cents 2: 1 343.47537 cents 2: 1 345.15605 cents 2: 1 366.40169 cents 2: 1 390.77951 cents 3: 1 464.06444 cents 3: 1 465.74512 cents 3: 1 493.88781 cents 3: 1 516.81413 cents 3: 1 525.21714 cents 3: 1 548.74824 cents 3: 1 585.52312 cents 4: 1 614.47688 cents 4: 1 651.25176 cents 4: 1 674.78286 cents 4: 1 683.18587 cents 4: 1 706.11219 cents 4: 1 734.25488 cents 4: 1 735.93556 cents 5: 1 809.22049 cents 5: 1 833.59831 cents 5: 1 854.84395 cents 5: 1 856.52463 cents 5: 1 860.28950 cents 5: 1 870.37319 cents 5: 1 915.14993 cents 6: 1 959.63293 cents 6: 1 980.87857 cents 6: 1 990.96226 cents 6: 1 1049.58756 cents 6: 1 1065.56237 cents 6: 1 1073.96538 cents 6: 1 1079.41093 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 : 219.1 345.2 585.5 735.9 870.4 1079.4 1200.0 219.1 : 126.0 366.4 516.8 651.3 860.3 980.9 1200.0 345.2 : 240.4 390.8 525.2 734.3 854.8 1074.0 1200.0 585.5 : 150.4 284.9 493.9 614.5 833.6 959.6 1200.0 735.9 : 134.4 343.5 464.1 683.2 809.2 1049.6 1200.0 870.4 : 209.0 329.6 548.7 674.8 915.1 1065.6 1200.0 1079.4: 120.6 339.7 465.7 706.1 856.5 991.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.5891 .. 240.3671 cents 119.77800 cents 120.58907 cents 2: 284.8501 .. 390.7795 cents 105.92944 cents 44.48300 cents 3: 464.0644 .. 585.5231 cents 121.45869 cents 73.28493 cents 4: 614.4769 .. 735.9356 cents 121.45869 cents 28.95375 cents 5: 809.2205 .. 915.1499 cents 105.92944 cents 73.28493 cents 6: 959.6329 .. 1079.4109 cents 119.77800 cents 44.48300 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.58907 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 240.36707 cents Average / Smallest step : 1.421593 Largest / Average step : 1.402141 Largest / Smallest step : 1.993274 Median interval of one step : 150.41244 cents, amount: 1 Least squares average step : 177.41483 cents, oct.: 1241.90384 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : FBGDCEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.95375 cents Scale diversity : 1.582317 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.421390 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 : 1.68068 cents Number of recognisable fifths : 1, average 706.1122 cents Best fifths form a closed circle Best major thirds 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: 42.4879 c. M: 71.2374 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 35.7910 c. M: 69.1214 c. 10: 2 1 2 1 1 2 1 P M ME S SD: 17.0824 c. M: 30.3732 c. 17: 3 2 3 2 2 3 2 SP M ME S SD: 18.5883 c. M: 30.0532 c. 18: 3 2 4 2 2 3 2 P T3 SD: 11.3258 c. M: 19.1214 c. 21: 4 2 4 3 2 4 2 SP T3 SD: 8.9117 c. M: 14.0946 c. 28: 5 3 6 3 3 5 3 P SD: 8.7116 c. M:-14.4769 c. 29: 5 3 6 4 3 5 3 SP SD: 8.2903 c. M: 14.1216 c. 37: 7 4 7 5 4 6 4 SP SD: 7.6716 c. M:-11.6007 c. 39: 7 4 8 5 4 7 4 SP SD: 4.6326 c. M: 8.8347 c. 49: 9 5 10 6 6 8 5 SP SD: 4.5308 c. M:-11.2595 c. 51: 9 6 10 6 6 9 5 SP SD: 4.9763 c. M:-7.7851 c. 59: 11 6 12 7 7 10 6 SP SD: 3.2477 c. M:-4.6074 c. 70: 13 7 14 9 8 12 7 SP SD: 2.4917 c. M:-3.9125 c. 80: 15 8 16 10 9 14 8 SP SD: 2.2746 c. M:-5.8786 c. 88: 16 9 18 11 10 15 9 SP SD: 2.0675 c. M: 4.2470 c. 98: 18 10 20 12 11 17 10 SP SD: 1.5989 c. M: 2.2989 c. 121: 22 13 24 15 14 21 12 SP SD: 1.5629 c. M:-2.3541 c. 142: 26 15 28 18 16 25 14 SP SD: 1.3993 c. M: 2.4245 c. 152: 28 16 30 19 17 27 15 SP SD: 1.7661 c. M:-2.2124 c. 153: 28 16 31 19 17 27 15 SP SD: 1.6053 c. M:-2.9420 c. 160: 29 17 32 20 18 28 16 SP SD: 0.7827 c. M: 1.6214 c. 219: 40 23 44 27 25 38 22 SP SD: 0.7750 c. M: 1.6890 c. 230: 42 24 46 29 26 40 23 SP SD: 0.6896 c. M: 1.1753 c. 240: 44 25 48 30 27 42 24 SP SD: 0.5894 c. M: 0.9356 c. 258: 47 27 52 32 29 45 26 SP SD: 0.6624 c. M: 1.0518 c. 295: 54 31 59 37 33 51 30 SP SD: 0.6475 c. M: 1.4448 c. 328: 60 34 66 41 37 57 33 SP SD: 0.5635 c. M: 1.2536 c. 357: 65 38 71 45 40 62 36 SP SD: 0.5624 c. M:-1.0624 c. 390: 71 41 78 49 44 68 39 SP SD: 0.5805 c. M: 0.9077 c. 400: 73 42 80 50 45 70 40 SP SD: 0.4891 c. M: 0.9356 c. 437: 80 46 87 55 49 76 44 SP SD: 0.4590 c. M:-0.8394 c. 445: 81 47 89 56 50 77 45 SP SD: 0.4857 c. M: 0.7592 c. 448: 82 47 90 56 50 78 45 SP SD: 0.5440 c. M:-1.0840 c. 449: 82 47 90 56 51 78 45 SP SD: 0.5409 c. M: 0.9690 c. 455: 83 48 91 57 51 79 46 SP SD: 0.3186 c. M: 0.7296 c. 465: 85 49 93 58 52 81 47 SP SD: 0.4982 c. M: 0.7013 c. 466: 85 49 93 59 52 81 47 SP SD: 0.4636 c. M: 0.9738 c. 476: 87 50 95 60 53 83 48 SP SD: 0.3999 c. M: 0.6492 c. 525: 96 55 105 66 59 91 53 SP SD: 0.3347 c. M: 0.5538 c. 597: 109 63 119 75 67 104 60 SP SD: 0.3281 c. M: 0.5985 c. 598: 109 63 120 75 67 104 60 SP SD: 0.3634 c. M:-0.5298 c. 608: 111 64 122 76 68 106 61 SP SD: 0.2918 c. M:-0.6611 c. 629: 115 66 126 79 70 110 63 SP SD: 0.3129 c. M:-0.4714 c. 678: 124 71 136 85 76 118 68 SP SD: 0.2872 c. M:-0.4233 c. 685: 125 72 137 86 77 119 69 SP SD: 0.2346 c. M: 0.4136 c. 695: 127 73 139 87 78 121 70 SP SD: 0.2236 c. M: 0.3960 c. 838: 153 88 168 105 94 146 84 SP SD: 0.1705 c. M:-0.3027 c. 1074: 196 113 215 135 120 187 108 SP SD: 0.1589 c. M:-0.3773 c. 1084: 198 114 217 136 121 189 109 SP SD: 0.1653 c. M: 0.2625 c. 1133: 207 119 227 142 127 197 114 SP SD: 0.1542 c. M:-0.2358 c. 1172: 214 123 235 147 131 204 118 SP SD: 0.1450 c. M:-0.2419 c. 1244: 227 131 249 156 139 217 125 SP SD: 0.1406 c. M: 0.2767 c. 1275: 233 134 255 160 143 222 128 SP SD: 0.1568 c. M:-0.2557 c. 1293: 236 136 259 162 145 225 130 SP SD: 0.0890 c. M:-0.1605 c. 1314: 240 138 263 165 147 229 132 SP SD: 0.0822 c. M:-0.1375 c. 1533: 280 161 307 192 172 267 154 SP SD: 0.0638 c. M: 0.1234 c. 1572: 287 165 315 197 176 274 158 SP SD: 0.0762 c. M: 0.1442 c. 2250: 411 236 451 282 252 392 226 SP SD: 0.0633 c. M: 0.0894 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: 16.9903 cents 3 x x 4 x 5 x 6 S SD: 29.5297 cents 4 x 5 x 6:7 x 8 S SD: 27.9973 cents 5 x 6:7 x 8:9:10 S SD: 17.7929 cents 6:7 x 8:9:10:11:12 S SD: 18.3981 cents 7:8:9:10:11:12:13:14 H SD: 17.7392 cents 8:9:10:11:12:13:15:16 SD: 10.3206 cents 13:15:16:18:20:21:24:26 SD: 8.5049 cents 14:16:17:20:21:23:26:28 SD: 7.2590 cents 15:17:18:21:23:25:28:30 SD: 4.7372 cents 22:25:27:31:34:36:41:44 SD: 4.0215 cents 23:26:28:32:35:38:43:46 SD: 2.6992 cents 32:36:39:45:49:53:60:64 SD: 2.6796 cents 37:42:45:52:57:61:69:74 SD: 2.1432 cents 45:51:55:63:69:74:84:90 SD: 1.5880 cents 59:67:72:83:90:98:110:118 SD: 1.5671 cents 60:68:73:84:92:99:112:120 SD: 1.2477 cents 72:82:88:101:110:119:134:144 SD: 1.1329 cents 81:92:99:114:124:134:151:162 SD: 0.9954 cents 87:99:106:122:133:144:162:174 SD: 0.9703 cents 90:102:110:126:138:149:168:180 SD: 0.9447 cents 95:108:116:133:145:157:177:190 SD: 0.8783 cents 104:118:127:146:159:172:194:208 SD: 0.3253 cents 231:262:282:324:353:382:431:462 SD: 0.3160 cents 236:268:288:331:361:390:440:472 SD: 0.2343 cents 268:304:327:376:410:443:500:536 SD: 0.1978 cents 340:386:415:477:520:562:634:680 SD: 0.1689 cents 363:412:443:509:555:600:677:726 SD: 0.1657 cents 430:488:525:603:658:711:802:860 SD: 0.1165 cents 534:606:652:749:817:883:996:1068 SD: 0.1043 cents 557:632:680:781:852:921:1039:1114 SD: 0.0972 cents