Scala analysis: CD09_01_Egypt
Ô Dieu, par l'ami très cher, muhammad - 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: 194.180 cents 194.179697 2: 291.225 cents 291.225486 3: 558.338 cents 558.337780 4: 683.388 cents 683.388471 5: 907.162 cents 907.161796 6: 1063.732 cents 1063.732309 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 136.2677 cents 136.2677 1: 194.1797 cents 194.1797 2: 97.0458 cents 97.0458 3: 267.1123 cents 267.1123 4: 125.0507 cents 125.0507 5: 223.7733 cents 223.7733 6: 156.5705 cents 156.5705 7: 136.2677 cents 136.2677
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 97.04579 cents 1: 1 125.05069 cents 1: 1 136.26769 cents 1: 1 156.57051 cents 1: 1 194.17970 cents 1: 1 223.77332 cents 1: 1 267.11229 cents 2: 1 291.22549 cents 2: 1 292.83820 cents 2: 1 330.44739 cents 2: 1 348.82402 cents 2: 1 364.15808 cents 2: 1 380.34384 cents 2: 1 392.16298 cents 3: 1 427.49318 cents 3: 1 487.01790 cents 3: 1 489.20877 cents 3: 1 505.39453 cents 3: 1 516.61153 cents 3: 1 558.33778 cents 3: 1 615.93631 cents 4: 1 584.06369 cents 4: 1 641.66222 cents 4: 1 683.38847 cents 4: 1 694.60547 cents 4: 1 710.79123 cents 4: 1 712.98210 cents 4: 1 772.50682 cents 5: 1 807.83702 cents 5: 1 819.65616 cents 5: 1 835.84192 cents 5: 1 851.17598 cents 5: 1 869.55261 cents 5: 1 907.16180 cents 5: 1 908.77451 cents 6: 1 932.88771 cents 6: 1 976.22668 cents 6: 1 1005.82030 cents 6: 1 1043.42949 cents 6: 1 1063.73231 cents 6: 1 1074.94931 cents 6: 1 1102.95421 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 : 194.2 291.2 558.3 683.4 907.2 1063.7 1200.0 194.2 : 97.0 364.2 489.2 713.0 869.6 1005.8 1200.0 291.2 : 267.1 392.2 615.9 772.5 908.8 1103.0 1200.0 558.3 : 125.1 348.8 505.4 641.7 835.8 932.9 1200.0 683.4 : 223.8 380.3 516.6 710.8 807.8 1074.9 1200.0 907.2 : 156.6 292.8 487.0 584.1 851.2 976.2 1200.0 1063.7: 136.3 330.4 427.5 694.6 819.7 1043.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 97.0458 .. 267.1123 cents 170.06650 cents 97.04579 cents 2: 291.2255 .. 392.1630 cents 100.93750 cents 24.11319 cents 3: 427.4932 .. 615.9363 cents 188.44313 cents 35.33019 cents 4: 584.0637 .. 772.5068 cents 188.44313 cents -31.87262 cents 5: 807.8370 .. 908.7745 cents 100.93750 cents 35.33019 cents 6: 932.8877 .. 1102.9542 cents 170.06650 cents 24.11319 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 97.04579 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 267.11229 cents Average / Smallest step : 1.766471 Largest / Average step : 1.558155 Largest / Smallest step : 2.752436 Median interval of one step : 156.57051 cents, amount: 1 Least squares average step : 175.02429 cents, oct.: 1225.17004 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : EAGBFDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 24.11319 cents Scale diversity : 1.707200 Lumma stability : 0.260815 Lumma impropriety factor : 0.026561 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 : 1.61272 cents Number of recognisable fifths : 3, average 706.1263 cents Best fifths 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: 35.5922 c. M:-51.6317 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 34.7266 c. M:-66.6115 c. 9: 1 1 2 1 2 1 1 N D3 I SD: 29.0414 c. M: 60.8464 c. 11: 2 1 2 1 2 2 1 P M ME S SD: 26.1799 c. M:-36.0472 c. 12: 2 1 3 1 2 2 1 P D3 SD: 22.3261 c. M:-41.6622 c. Lydian Diminished, Mela Dharmavati, Raga Ambika, Arunajualita, Dumyaraga, Madhuvanti 16: 2 2 3 2 3 2 2 P D3 I SD: 22.2019 c. M: 44.1797 c. 17: 3 1 4 2 3 2 2 N SD: 12.3550 c. M:-22.4939 c. 24: 4 2 5 3 4 3 3 P SD: 9.9728 c. M:-16.6115 c. 25: 4 2 6 2 5 3 3 N SD: 8.7831 c. M:-17.6622 c. 26: 4 2 6 3 5 3 3 N SD: 9.6649 c. M:-15.9151 c. 28: 5 2 6 3 5 4 3 P SD: 9.2474 c. M:-20.1060 c. 32: 5 3 7 3 6 4 4 P SD: 8.0104 c. M: 13.7323 c. 33: 5 3 7 4 6 4 4 N SD: 8.1378 c. M: 12.8832 c. 36: 6 3 8 4 6 5 4 P SD: 8.5864 c. M:-16.6115 c. 37: 6 3 8 4 7 5 4 N SD: 3.7491 c. M: 6.9864 c. 54: 9 4 12 6 10 7 6 N SD: 3.8086 c. M:-5.8203 c. 62: 10 5 14 6 12 8 7 N SD: 2.7387 c. M: 5.9691 c. 69: 11 6 15 7 13 9 8 N SD: 3.2419 c. M: 5.1276 c. 79: 13 6 18 8 15 10 9 N SD: 2.6561 c. M:-4.2306 c. 86: 14 7 19 9 16 11 10 N SD: 1.4860 c. M: 3.2672 c. 116: 19 9 26 12 22 15 13 N SD: 1.7682 c. M:-3.1830 c. 123: 20 10 27 13 23 16 14 N SD: 1.0934 c. M: 2.2402 c. 165: 27 13 37 17 31 21 19 N SD: 1.4677 c. M:-2.1839 c. 168: 27 14 37 18 31 22 19 N SD: 1.2848 c. M:-2.3258 c. 185: 30 15 41 19 35 24 21 N SD: 1.0063 c. M: 2.3074 c. 193: 31 16 43 20 36 25 22 N SD: 0.8913 c. M: 1.4336 c. 221: 36 18 49 23 41 29 25 N SD: 1.0364 c. M:-1.9872 c. 230: 37 19 51 24 43 30 26 N SD: 0.6573 c. M: 1.1362 c. 309: 50 25 69 32 58 40 35 N SD: 0.6969 c. M:-1.5761 c. 316: 51 26 70 33 59 41 36 N SD: 0.5437 c. M:-1.1796 c. 335: 54 27 75 35 62 44 38 N SD: 0.6949 c. M: 1.0762 c. 346: 56 28 77 36 65 45 39 N SD: 0.6896 c. M:-1.5087 c. 353: 57 29 78 37 66 46 40 N SD: 0.5927 c. M:-1.1258 c. 370: 60 30 82 39 69 48 42 N SD: 0.6141 c. M:-0.9463 c. 372: 60 30 83 39 69 49 42 N SD: 0.6141 c. M: 0.9029 c. 376: 61 30 84 39 70 49 43 N SD: 0.6129 c. M: 0.9664 c. 378: 61 31 84 39 71 49 43 N SD: 0.5993 c. M: 0.8488 c. 395: 64 32 88 41 74 51 45 N SD: 0.5735 c. M:-1.1926 c. 413: 67 33 92 43 77 54 47 N SD: 0.4960 c. M: 0.6686 c. 432: 70 35 96 45 81 56 49 N SD: 0.4877 c. M:-1.1715 c. 458: 74 37 102 48 85 60 52 N SD: 0.3567 c. M: 0.6116 c. 520: 84 42 116 54 97 68 59 N SD: 0.2677 c. M: 0.4563 c. 606: 98 49 135 63 113 79 69 N SD: 0.1982 c. M: 0.3660 c. 643: 104 52 143 67 120 84 73 N SD: 0.1955 c. M: 0.3403 c. 767: 124 62 171 80 143 100 87 N SD: 0.2125 c. M:-0.3143 c. 836: 135 68 186 87 156 109 95 N SD: 0.1753 c. M: 0.3998 c. 890: 144 72 198 93 166 116 101 N SD: 0.1384 c. M:-0.2539 c. 976: 158 79 217 102 182 127 111 N SD: 0.1656 c. M:-0.2181 c. 1038: 168 84 231 108 194 135 118 N SD: 0.1620 c. M:-0.3527 c. 1180: 191 95 263 123 220 154 134 N SD: 0.1460 c. M: 0.3780 c. 1249: 202 101 278 130 233 163 142 N SD: 0.1625 c. M: 0.2820 c. 1266: 205 102 282 132 236 165 144 N SD: 0.1345 c. M: 0.2302 c. 1303: 211 105 290 136 243 170 148 N SD: 0.1328 c. M: 0.2411 c. 1373: 222 111 306 143 256 179 156 N SD: 0.1152 c. M: 0.1840 c. 1410: 228 114 314 147 263 184 160 N SD: 0.0937 c. M: 0.1617 c. 1496: 242 121 333 156 279 195 170 N SD: 0.0565 c. M: 0.0959 c. 2237: 362 181 498 233 417 292 254 N SD: 0.0464 c. M:-0.0887 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: 9.2833 cents 3 x x 4 x 5 x 6 S SD: 21.4869 cents 4 x 5 x 6:7 x 8 S SD: 28.7108 cents 5 x 6:7 x 8:9:10 S SD: 21.9515 cents 6 x 7:8:9:10:11:12 S SD: 12.1330 cents 7:8 x 10 x 12:13:14 S SD: 14.9735 cents 8:9 x 11:12:14:15:16 SD: 11.6585 cents 10:11:12:14:15:17:18:20 SD: 9.7277 cents 13 x 15:18:19:22:24:26 SD: 8.5504 cents 15:17:18:21:22:25:28:30 SD: 7.6982 cents 16:18:19:22:24:27:30:32 SD: 4.8063 cents 26:29:31:36:39:44:48:52 SD: 3.4741 cents 27:30:32:37:40:46:50:54 SD: 3.3891 cents 32:36:38:44:47:54:59:64 SD: 3.2755 cents 33:37:39:46:49:56:61:66 SD: 2.7416 cents 39:44:46:54:58:66:72:78 SD: 2.4825 cents 42:47:50:58:62:71:78:84 SD: 2.3182 cents 45:50:53:62:67:76:83:90 SD: 2.3121 cents 48:54:57:66:71:81:89:96 SD: 2.2316 cents 50:56:59:69:74:84:92:100 SD: 1.9943 cents 58:65:69:80:86:98:107:116 SD: 1.5417 cents 60:67:71:83:89:101:111:120 SD: 1.0608 cents 87:97:103:120:129:147:161:174 SD: 0.9453 cents 93:104:110:128:138:157:172:186 SD: 0.7847 cents 110:123:130:152:163:186:203:220 SD: 0.7444 cents 126:141:149:174:187:213:233:252 SD: 0.3141 cents 186:208:220:257:276:314:344:372 SD: 0.2784 cents 279:312:330:385:414:471:516:558 SD: 0.2240 cents 312:349:369:431:463:527:577:624 SD: 0.2139 cents 370:414:438:511:549:625:684:740 SD: 0.1750 cents 405:453:479:559:601:684:749:810 SD: 0.1620 cents 463:518:548:639:687:782:856:926 SD: 0.1290 cents 523:585:619:722:776:883:967:1046 SD: 0.1214 cents 589:659:697:813:874:995:1089:1178 SD: 0.1140 cents