Scala analysis: CD10_10_Egypt
E Bedim - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 226.086 cents 226.086168 2: 338.441 cents 338.440725 3: 556.079 cents 556.078795 4: 711.339 cents 711.338975 5: 817.422 cents 817.421543 6: 1020.920 cents 1020.920412 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 179.0796 cents 179.0796 1: 226.0862 cents 226.0862 2: 112.3546 cents 112.3546 3: 217.6381 cents 217.6381 4: 155.2602 cents 155.2602 5: 106.0826 cents 106.0826 6: 203.4989 cents 203.4989 7: 179.0796 cents 179.0796
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.08257 cents 1: 1 112.35456 cents 1: 1 155.26018 cents 1: 1 179.07959 cents 1: 1 203.49887 cents 1: 1 217.63807 cents 1: 1 226.08617 cents 2: 1 261.34275 cents 2: 1 309.58144 cents 2: 1 329.99263 cents 2: 1 338.44072 cents 2: 1 372.89825 cents 2: 1 382.57846 cents 2: 1 405.16576 cents 3: 1 464.84162 cents 3: 1 478.98082 cents 3: 1 485.25281 cents 3: 1 488.66102 cents 3: 1 517.52031 cents 3: 1 556.07880 cents 3: 1 608.66463 cents 4: 1 591.33537 cents 4: 1 643.92120 cents 4: 1 682.47969 cents 4: 1 711.33898 cents 4: 1 714.74719 cents 4: 1 721.01918 cents 4: 1 735.15838 cents 5: 1 794.83424 cents 5: 1 817.42154 cents 5: 1 827.10175 cents 5: 1 861.55928 cents 5: 1 870.00737 cents 5: 1 890.41856 cents 5: 1 938.65725 cents 6: 1 973.91383 cents 6: 1 982.36193 cents 6: 1 996.50113 cents 6: 1 1020.92041 cents 6: 1 1044.73982 cents 6: 1 1087.64544 cents 6: 1 1093.91743 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 : 226.1 338.4 556.1 711.3 817.4 1020.9 1200.0 226.1 : 112.4 330.0 485.3 591.3 794.8 973.9 1200.0 338.4 : 217.6 372.9 479.0 682.5 861.6 1087.6 1200.0 556.1 : 155.3 261.3 464.8 643.9 870.0 982.4 1200.0 711.3 : 106.1 309.6 488.7 714.7 827.1 1044.7 1200.0 817.4 : 203.5 382.6 608.7 721.0 938.7 1093.9 1200.0 1020.9: 179.1 405.2 517.5 735.2 890.4 996.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.0826 .. 226.0862 cents 120.00360 cents 106.08257 cents 2: 261.3427 .. 405.1658 cents 143.82301 cents 35.25658 cents 3: 464.8416 .. 608.6646 cents 143.82301 cents 59.67586 cents 4: 591.3354 .. 735.1584 cents 143.82301 cents -17.32925 cents 5: 794.8342 .. 938.6573 cents 143.82301 cents 59.67586 cents 6: 973.9138 .. 1093.9174 cents 120.00360 cents 35.25658 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 106.08257 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.08617 cents Average / Smallest step : 1.615992 Largest / Average step : 1.318836 Largest / Smallest step : 2.131228 Median interval of one step : 179.07959 cents, amount: 1 Least squares average step : 171.63707 cents, oct.: 1201.45950 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GBFCAED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 17.32925 cents Scale diversity : 1.669703 Lumma stability : 0.335025 Lumma impropriety factor : 0.014441 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 : 3.40822 cents Number of recognisable fifths : 2, average 713.0431 cents Number of appreciable fifths : 1, average 711.3390 cents 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: 31.7278 c. M: 54.6576 c. Lebeng 10: 2 1 2 1 1 2 1 P M ME S SD: 30.8514 c. M:-59.0796 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 29.6955 c. M: 56.0788 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 2 2 2 1 2 2 SP M ME S SD: 22.7322 c. M: 41.4708 c. Glacial-7, Lobonian 15: 3 1 3 2 1 3 2 N T3 SD: 13.5835 c. M:-19.0796 c. 20: 4 2 3 3 2 3 3 P T3 SD: 14.6510 c. M:-22.5785 c. 21: 4 2 4 2 2 4 3 N SD: 13.5223 c. M: 25.6247 c. 22: 4 2 4 3 2 4 3 P T3 SD: 8.8172 c. M:-15.4432 c. Gandhaara Grama (Narada der. ma-grama), Murchhana Pauravi 28: 5 3 5 4 2 5 4 P SD: 8.6620 c. M:-17.2325 c. 31: 6 3 5 4 3 5 5 N SD: 10.5489 c. M: 14.5648 c. 32: 6 3 6 4 3 5 5 P SD: 4.9711 c. M: 8.4204 c. 47: 9 4 9 6 4 8 7 N SD: 3.7953 c. M: 6.5258 c. 54: 10 5 10 7 5 9 8 P SD: 3.0725 c. M: 5.1074 c. 85: 16 8 15 11 8 14 13 N SD: 3.4200 c. M: 5.4906 c. 86: 16 8 16 11 8 14 13 P SD: 3.0330 c. M:-5.8343 c. 88: 17 8 16 11 8 15 13 N SD: 2.8515 c. M:-5.7320 c. 89: 17 8 16 12 8 15 13 N SD: 3.2280 c. M:-5.0504 c. 91: 17 9 16 12 8 15 14 N SD: 2.9123 c. M: 5.5358 c. 93: 17 9 17 12 8 16 14 N SD: 3.4063 c. M: 6.7313 c. 95: 18 9 17 12 9 16 14 N SD: 2.4642 c. M: 3.9706 c. 100: 19 9 18 13 9 17 15 N SD: 2.3986 c. M: 4.0788 c. 106: 20 10 19 14 9 18 16 N SD: 1.5344 c. M: 2.3272 c. 128: 24 12 23 17 11 22 19 N SD: 1.5249 c. M: 2.9538 c. 138: 26 13 25 18 12 23 21 N SD: 1.5134 c. M: 3.5291 c. 142: 27 13 26 18 13 24 21 N SD: 1.5749 c. M:-2.2968 c. 148: 28 14 27 19 13 25 22 N SD: 1.8588 c. M:-3.3807 c. 153: 29 14 28 20 13 26 23 N SD: 1.4299 c. M:-2.3865 c. 160: 30 15 29 21 14 27 24 N SD: 0.8807 c. M:-1.1610 c. 248: 47 23 45 32 22 42 37 N SD: 0.5472 c. M:-1.3332 c. 280: 53 26 51 36 25 47 42 N SD: 0.7967 c. M:-1.1499 c. 302: 57 28 55 39 27 51 45 N SD: 0.5380 c. M:-1.1215 c. 336: 63 32 61 43 30 57 50 N SD: 0.7430 c. M: 1.0862 c. 341: 64 32 62 44 30 58 51 N SD: 0.5999 c. M: 0.9993 c. 354: 67 33 64 46 31 60 53 N SD: 0.5630 c. M:-1.0325 c. 361: 68 34 65 47 32 61 54 N SD: 0.4730 c. M: 0.9541 c. 376: 71 35 68 49 33 64 56 N SD: 0.4270 c. M: 0.7596 c. 408: 77 38 74 53 36 69 61 N SD: 0.2856 c. M:-0.4257 c. 589: 111 55 107 76 52 100 88 N SD: 0.2412 c. M: 0.4436 c. 712: 134 67 129 92 63 121 106 N SD: 0.2292 c. M:-0.4279 c. 744: 140 70 135 96 66 126 111 N SD: 0.2381 c. M:-0.3728 c. 749: 141 70 136 97 66 127 112 N SD: 0.2521 c. M: 0.3900 c. 759: 143 71 138 98 67 129 113 N SD: 0.2396 c. M:-0.4429 c. 818: 154 77 148 106 72 139 122 N SD: 0.2249 c. M:-0.4346 c. 837: 158 78 152 108 74 142 125 N SD: 0.2246 c. M:-0.4371 c. 844: 159 79 153 109 75 143 126 N SD: 0.1839 c. M: 0.4385 c. 865: 163 81 157 112 76 147 129 N SD: 0.1998 c. M:-0.3373 c. 872: 164 82 158 113 77 148 130 N SD: 0.1811 c. M: 0.3981 c. 919: 173 86 167 119 81 156 137 N SD: 0.1915 c. M:-0.3041 c. 950: 179 89 172 123 84 161 142 N SD: 0.1823 c. M: 0.2893 c. 997: 188 93 181 129 88 169 149 N SD: 0.1621 c. M: 0.2584 c. 1004: 189 94 182 130 89 170 150 N SD: 0.1895 c. M: 0.3019 c. 1066: 201 100 193 138 94 181 159 N SD: 0.1833 c. M:-0.3960 c. 1092: 206 102 198 141 97 185 163 N SD: 0.1830 c. M: 0.3500 c. 1120: 211 105 203 145 99 190 167 N SD: 0.0881 c. M:-0.1510 c. 1709: 322 160 310 221 151 290 255 N SD: 0.0456 c. M: 0.1015 c. 1869: 352 175 339 242 165 317 279 N SD: 0.0656 c. M: 0.0861 c. 2117: 399 198 384 274 187 359 316 N SD: 0.0441 c. M:-0.0829 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: 4.6920 cents 3 x x 4 x 5 x 6 S SD: 29.5306 cents 4 x 5 x 6 x 7:8 S SD: 17.8426 cents 5 x 6:7 x 8:9:10 S SD: 7.0528 cents 6:7 x 8:9:10:11:12 S SD: 17.0040 cents 7:8:9:10 x 11:13:14 SD: 21.6895 cents 8:9:10:11:12:13:14:16 S SD: 11.1959 cents 9:10:11:12 x 14:16:18 S SD: 15.5723 cents 10:11:12:14:15:16:18:20 S SD: 10.1646 cents 11 x 13:15:17:18:20:22 SD: 12.9248 cents 12:14:15:17:18:19:22:24 SD: 12.3981 cents 13:15:16:18:20:21:23:26 SD: 8.3499 cents 14:16:17:19:21:22:25:28 SD: 6.9733 cents 15:17:18:21:23:24:27:30 SD: 6.6297 cents 20:23:24:28:30:32:36:40 SD: 5.6849 cents 22:25:27:30:33:35:40:44 SD: 4.7793 cents 23:26:28:32:35:37:41:46 SD: 4.7786 cents 27:31:33:37:41:43:49:54 SD: 3.9413 cents 28:32:34:39:42:45:50:56 SD: 3.8786 cents 29:33:35:40:44:47:52:58 SD: 3.8389 cents 35:40:43:48:53:56:63:70 SD: 3.2192 cents 36:41:44:50:54:58:65:72 SD: 2.8611 cents 37:42:45:51:56:59:67:74 SD: 2.1383 cents 45:51:55:62:68:72:81:90 SD: 2.0548 cents 50:57:61:69:75:80:90:100 SD: 1.7484 cents 51:58:62:70:77:82:92:102 SD: 1.4255 cents 65:74:79:90:98:104:117:130 SD: 1.2911 cents 71:81:86:98:107:114:128:142 SD: 1.0975 cents 92:105:112:127:139:148:166:184 SD: 1.0931 cents 93:106:113:128:140:149:168:186 SD: 0.8016 cents 106:121:129:146:160:170:191:212 SD: 0.6290 cents 116:132:141:160:175:186:209:232 SD: 0.4408 cents 209:238:254:288:315:335:377:418 SD: 0.3127 cents 222:253:270:306:335:356:400:444 SD: 0.2866 cents 250:285:304:345:377:401:451:500 SD: 0.2692 cents 264:301:321:364:398:423:476:528 SD: 0.2560 cents 301:343:366:415:454:483:543:602 SD: 0.2000 cents 315:359:383:434:475:505:568:630 SD: 0.1974 cents 366:417:445:505:552:587:660:732 SD: 0.1926 cents 380:433:462:524:573:609:685:760 SD: 0.1798 cents 417:475:507:575:629:669:752:834 SD: 0.1677 cents 431:491:524:594:650:691:777:862 SD: 0.1606 cents 459:523:558:633:692:736:828:918 SD: 0.1290 cents 565:644:687:779:852:906:1019:1130 SD: 0.0781 cents