Scala analysis: CD09_05_Egypt
Accours te réfugier au sanctuaire - 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: 189.552 cents 189.552383 2: 252.175 cents 252.175200 3: 292.749 cents 292.748900 4: 566.035 cents 566.034955 5: 686.147 cents 686.147434 6: 836.401 cents 836.401449 7: 1060.539 cents 1060.539229 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 139.4608 cents 139.4608 1: 189.5524 cents 189.5524 2: 62.6228 cents 62.6228 3: 40.5737 cents 40.5737 4: 273.2861 cents 273.2861 5: 120.1125 cents 120.1125 6: 150.2540 cents 150.2540 7: 224.1378 cents 224.1378 8: 139.4608 cents 139.4608
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 40.57370 cents 1: 1 62.62282 cents 1: 1 120.11248 cents 1: 1 139.46077 cents 1: 1 150.25401 cents 1: 1 189.55238 cents 1: 1 224.13778 cents 1: 1 273.28605 cents 2: 1 103.19652 cents 2: 1 252.17520 cents 2: 1 270.36649 cents 2: 1 313.85975 cents 2: 1 329.01315 cents 2: 1 363.59855 cents 2: 1 374.39179 cents 2: 1 393.39853 cents 3: 1 292.74890 cents 3: 1 376.48257 cents 3: 1 391.63597 cents 3: 1 433.97223 cents 3: 1 494.50427 cents 3: 1 513.85257 cents 3: 1 543.65255 cents 3: 1 553.15093 cents 4: 1 432.20967 cents 4: 1 496.59505 cents 4: 1 566.03495 cents 4: 1 584.22625 cents 4: 1 615.77375 cents 4: 1 633.96505 cents 4: 1 703.40495 cents 4: 1 767.79033 cents 5: 1 646.84907 cents 5: 1 656.34745 cents 5: 1 686.14743 cents 5: 1 705.49573 cents 5: 1 766.02777 cents 5: 1 808.36403 cents 5: 1 823.51743 cents 5: 1 907.25110 cents 6: 1 806.60147 cents 6: 1 825.60821 cents 6: 1 836.40145 cents 6: 1 870.98685 cents 6: 1 886.14025 cents 6: 1 929.63351 cents 6: 1 947.82480 cents 6: 1 1096.80348 cents 7: 1 926.71395 cents 7: 1 975.86222 cents 7: 1 1010.44762 cents 7: 1 1049.74598 cents 7: 1 1060.53923 cents 7: 1 1079.88752 cents 7: 1 1137.37718 cents 7: 1 1159.42630 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 189.6 252.2 292.7 566.0 686.1 836.4 1060.5 1200.0 189.6 : 62.6 103.2 376.5 496.6 646.8 871.0 1010.4 1200.0 252.2 : 40.6 313.9 434.0 584.2 808.4 947.8 1137.4 1200.0 292.7 : 273.3 393.4 543.7 767.8 907.3 1096.8 1159.4 1200.0 566.0 : 120.1 270.4 494.5 634.0 823.5 886.1 926.7 1200.0 686.1 : 150.3 374.4 513.9 703.4 766.0 806.6 1079.9 1200.0 836.4 : 224.1 363.6 553.2 615.8 656.3 929.6 1049.7 1200.0 1060.5: 139.5 329.0 391.6 432.2 705.5 825.6 975.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.5737 .. 273.2861 cents 232.71236 cents 40.57370 cents 2: 103.1965 .. 393.3985 cents 290.20202 cents -170.08954 cents 3: 292.7489 .. 553.1509 cents 260.40203 cents -100.64963 cents 4: 432.2097 .. 767.7903 cents 335.58066 cents -120.94126 cents 5: 646.8491 .. 907.2511 cents 260.40203 cents -120.94126 cents 6: 806.6015 .. 1096.8035 cents 290.20202 cents -100.64963 cents 7: 926.7139 .. 1159.4263 cents 232.71236 cents -170.08954 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 40.57370 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 273.28605 cents Average / Smallest step : 3.696976 Largest / Average step : 1.821907 Largest / Smallest step : 6.735547 Median interval of one step : 144.85739 cents, amount: 0 Least squares average step : 143.67260 cents, oct.: 1149.38078 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FBAHCEGD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.76256 cents Scale diversity : 1.761475 Lumma stability : 0.067623 Lumma impropriety factor : 0.652801 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.76256 cents Number of recognisable fifths : 3, average 698.3494 cents Number of appreciable fifths : 2, average 704.4503 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 0 2 1 1 1 1 N T3 SD: 40.7597 c. M:-63.8526 c. 9: 1 1 0 2 1 1 2 1 N SD: 29.2882 c. M: 56.2190 c. 11: 2 0 1 2 1 2 2 1 N SD: 29.2216 c. M:-36.3258 c. 12: 2 1 0 3 1 2 2 1 N SD: 34.2717 c. M:-63.5986 c. 13: 2 1 0 3 1 2 2 2 N SD: 24.2539 c. M: 45.1546 c. 14: 2 1 0 4 1 2 2 2 N SD: 22.9861 c. M: 35.6060 c. 16: 2 1 1 3 2 2 3 2 N SD: 23.4645 c. M: 41.0350 c. 17: 3 1 0 4 2 2 3 2 N SD: 15.8899 c. M:-30.1777 c. 19: 3 1 1 4 2 2 4 2 N SD: 11.2857 c. M:-23.0406 c. 23: 4 1 1 5 2 3 4 3 N SD: 12.6090 c. M:-20.2946 c. 24: 4 1 1 5 3 3 4 3 N SD: 10.6740 c. M: 16.0350 c. 25: 4 1 1 6 2 3 5 3 N SD: 10.6832 c. M: 20.4014 c. 26: 4 1 1 6 3 3 5 3 N SD: 10.9103 c. M: 21.4060 c. 30: 5 1 1 7 3 4 5 4 N SD: 10.7758 c. M: 20.5392 c. 32: 5 2 1 7 3 4 6 4 N SD: 8.2251 c. M: 11.4014 c. 33: 5 2 1 8 3 4 6 4 N SD: 6.8605 c. M:-15.7832 c. 42: 7 2 1 10 4 5 8 5 N SD: 5.9733 c. M:-10.4476 c. 44: 7 2 2 10 4 6 8 5 N SD: 5.6421 c. M:-9.0531 c. 46: 7 3 1 11 4 6 9 5 N SD: 6.7612 c. M:-9.0260 c. 49: 8 2 2 11 5 6 9 6 N SD: 4.6447 c. M: 7.4780 c. 53: 8 3 2 12 5 7 10 6 N SD: 4.2665 c. M: 8.4203 c. 58: 9 3 2 13 6 7 11 7 N SD: 5.1105 c. M: 8.8152 c. 61: 10 3 2 14 6 8 11 7 N SD: 4.8526 c. M:-9.5002 c. 62: 10 3 2 14 6 8 12 7 N SD: 4.3853 c. M: 8.7281 c. 63: 10 3 2 15 6 8 12 7 N SD: 4.1951 c. M: 7.0346 c. 66: 10 4 2 15 7 8 12 8 N SD: 4.0800 c. M: 7.7342 c. 70: 11 4 2 16 7 9 13 8 N SD: 2.3978 c. M:-4.9677 c. 89: 14 5 3 20 9 11 17 10 N SD: 2.6372 c. M:-4.6293 c. 95: 15 5 3 22 9 12 18 11 N SD: 2.0867 c. M: 4.0422 c. 102: 16 5 4 23 10 13 19 12 N SD: 2.5030 c. M: 5.1164 c. 110: 17 6 4 25 11 14 20 13 N SD: 2.3165 c. M: 4.0978 c. 115: 18 6 4 26 12 14 22 13 N SD: 2.1359 c. M:-3.8086 c. 119: 19 6 4 27 12 15 22 14 N SD: 1.0902 c. M:-2.0443 c. 172: 27 9 6 39 17 22 32 20 N SD: 1.1115 c. M: 2.4265 c. 189: 30 10 6 43 19 24 35 22 N SD: 1.0342 c. M:-1.7931 c. 208: 33 11 7 47 21 26 39 24 N SD: 0.9535 c. M:-1.6710 c. 234: 37 12 8 53 24 29 44 27 N SD: 0.9408 c. M: 1.9324 c. 261: 41 14 9 59 26 33 49 30 N SD: 0.9865 c. M:-1.5297 c. 267: 42 14 9 61 27 33 50 31 N SD: 0.6848 c. M:-1.4930 c. 290: 46 15 10 66 29 36 54 34 N SD: 0.7810 c. M: 1.2289 c. 303: 48 16 10 69 30 38 57 35 N SD: 0.7455 c. M:-1.2901 c. 310: 49 16 11 70 31 39 58 36 N SD: 0.7280 c. M:-1.4446 c. 324: 51 17 11 74 32 41 60 38 N SD: 0.7015 c. M: 1.2800 c. 329: 52 17 11 75 33 41 62 38 N SD: 0.6965 c. M: 1.1431 c. 337: 53 18 11 77 34 42 63 39 N SD: 0.6513 c. M:-1.0929 c. 343: 54 18 12 78 34 43 64 40 N SD: 0.5877 c. M:-1.1287 c. 360: 57 19 12 82 36 45 67 42 N SD: 0.6034 c. M:-1.1581 c. 362: 57 19 12 83 36 45 68 42 N SD: 0.6426 c. M: 1.0423 c. 380: 60 20 13 86 38 48 71 44 N SD: 0.6046 c. M:-0.9353 c. 386: 61 20 13 88 39 48 72 45 N SD: 0.4300 c. M:-0.8992 c. 413: 65 22 14 94 41 52 77 48 N SD: 0.5013 c. M:-0.7136 c. 439: 69 23 15 100 44 55 82 51 N SD: 0.4313 c. M: 0.9419 c. 456: 72 24 15 104 46 57 85 53 N SD: 0.4132 c. M:-0.6947 c. 481: 76 25 16 110 48 60 90 56 N SD: 0.4091 c. M: 0.8570 c. 532: 84 28 18 121 53 67 99 62 N SD: 0.3534 c. M:-0.4842 c. 558: 88 29 19 127 56 70 104 65 N SD: 0.3217 c. M: 0.5623 c. 628: 99 33 21 143 63 79 117 73 N SD: 0.3174 c. M:-0.5412 c. 647: 102 34 22 147 65 81 121 75 N SD: 0.2482 c. M: 0.3715 c. 689: 109 36 23 157 69 86 129 80 N SD: 0.2306 c. M: 0.4073 c. 733: 116 38 25 167 73 92 137 85 N SD: 0.2590 c. M:-0.4043 c. 742: 117 39 25 169 74 93 139 86 N SD: 0.2588 c. M: 0.4331 c. 766: 121 40 26 174 77 96 143 89 N SD: 0.1990 c. M: 0.4997 c. 799: 126 42 27 182 80 100 149 93 N SD: 0.1850 c. M: 0.3158 c. 861: 136 45 29 196 86 108 161 100 N SD: 0.1829 c. M: 0.4331 c. 918: 145 48 31 209 92 115 171 107 N SD: 0.1732 c. M: 0.4085 c. 1119: 177 58 38 255 112 140 209 130 N SD: 0.1446 c. M:-0.2599 c. 1128: 178 59 38 257 113 141 211 131 N SD: 0.1354 c. M: 0.2312 c. 1189: 188 62 40 271 119 149 222 138 N SD: 0.1615 c. M:-0.2680 c. 1247: 197 65 42 284 125 156 233 145 N SD: 0.1196 c. M: 0.2068 c. 1488: 235 78 50 339 149 186 278 173 N SD: 0.1149 c. M:-0.2442 c. 1565: 247 82 53 356 157 196 292 182 N SD: 0.1261 c. M: 0.1594 c. 1590: 251 83 54 362 159 199 297 185 N SD: 0.1115 c. M: 0.1750 c. 1660: 262 87 56 378 166 208 310 193 N SD: 0.0839 c. M: 0.1548 c. 1980: 313 103 67 451 198 248 370 230 N SD: 0.0693 c. M:-0.1446 c. 2046: 323 107 69 466 205 256 382 238 N SD: 0.0747 c. M: 0.1287 c. 2247: 355 117 76 512 225 281 420 261 N SD: 0.0765 c. M: 0.1058 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 7.9038 cents 3 x x x 4 x 5 x 6 S SD: 27.7339 cents 4 x x 5 x 6 x 7:8 S SD: 32.9920 cents 5 x x 6:7 x 8:9:10 S SD: 11.2350 cents 6 x 7 x 8:9:10:11:12 S SD: 14.4465 cents 7 x 8 x 10 x 11:13:14 SD: 15.6452 cents 8:9 x x 11:12:13:15:16 SD: 6.3652 cents 9:10 x 11:12:13:15:17:18 SD: 16.9364 cents 10:11 x 12:14:15:16:18:20 S SD: 9.0443 cents 11:12 x 13:15:16:18:20:22 SD: 9.7845 cents 12:13:14 x 17:18:19:22:24 SD: 11.2706 cents 13 x 15 x 18:19:21:24:26 SD: 5.0435 cents 14 x 16:17:19:21:23:26:28 SD: 9.7137 cents 15:17 x 18:21:22:24:28:30 SD: 7.8012 cents 16:18 x 19:22:24:26:30:32 SD: 5.4982 cents 17:19 x 20:24:25:28:31:34 SD: 7.3012 cents 18:20:21 x 25:27:29:33:36 SD: 3.9494 cents 22 x 25:26:31:33:36:41:44 SD: 7.1992 cents 23:26 x 27:32:34:37:42:46 SD: 5.2877 cents 24:27:28 x 33:36:39:44:48 SD: 4.5859 cents 25:28:29:30:35:37:41:46:50 SD: 4.5809 cents 26:29:30:31:36:39:42:48:52 SD: 2.6625 cents 29:32 x 34:40:43:47:54:58 SD: 4.5627 cents 31:35:36:37:43:46:50:57:62 SD: 3.4791 cents 32:36:37:38:44:48:52:59:64 SD: 3.3422 cents 33:37:38:39:46:49:53:61:66 SD: 2.8020 cents 37:41:43:44:51:55:60:68:74 SD: 2.5437 cents 43:48:50:51:60:64:70:79:86 SD: 2.2241 cents 44:49:51:52:61:65:71:81:88 SD: 1.8888 cents 59:66:68:70:82:88:96:109:118 SD: 1.6199 cents 69:77:80:82:96:103:112:127:138 SD: 1.5990 cents 70:78:81:83:97:104:113:129:140 SD: 1.0499 cents 96:107:111:114:133:143:156:177:192 SD: 0.9848 cents 103:115:119:122:143:153:167:190:206 SD: 0.4328 cents 217:242:251:257:301:323:352:400:434 SD: 0.4177 cents 222:248:257:263:308:330:360:410:444 SD: 0.3980 cents 243:271:281:288:337:361:394:448:486 SD: 0.3063 cents 261:291:302:309:362:388:423:482:522 SD: 0.2585 cents 337:376:390:399:467:501:546:622:674 SD: 0.2335 cents 362:404:419:429:502:538:587:668:724 SD: 0.2154 cents 364:406:421:431:505:541:590:672:728 SD: 0.1722 cents 440:491:509:521:610:654:713:812:880 SD: 0.1211 cents 510:569:590:604:707:758:827:941:1020 SD: 0.0966 cents