Scala analysis: CD04_10_Egypt
Suite - Dâwûd Khudr Husnî (zunjuran, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 109.581 cents 109.580719 2: 381.893 cents 381.892712 3: 489.662 cents 489.662224 4: 706.179 cents 706.178613 5: 887.380 cents 887.379881 6: 1059.751 cents 1059.751448 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 140.2486 cents 140.2486 1: 109.5807 cents 109.5807 2: 272.3120 cents 272.3120 3: 107.7695 cents 107.7695 4: 216.5164 cents 216.5164 5: 181.2013 cents 181.2013 6: 172.3716 cents 172.3716 7: 140.2486 cents 140.2486
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 107.76951 cents 1: 1 109.58072 cents 1: 1 140.24855 cents 1: 1 172.37157 cents 1: 1 181.20127 cents 1: 1 216.51639 cents 1: 1 272.31199 cents 2: 1 249.82927 cents 2: 1 312.62012 cents 2: 1 324.28590 cents 2: 1 353.57284 cents 2: 1 380.08150 cents 2: 1 381.89271 cents 2: 1 397.71766 cents 3: 1 422.20084 cents 3: 1 489.66222 cents 3: 1 493.82139 cents 3: 1 505.48717 cents 3: 1 522.14126 cents 3: 1 570.08922 cents 3: 1 596.59789 cents 4: 1 603.40211 cents 4: 1 629.91078 cents 4: 1 677.85874 cents 4: 1 694.51283 cents 4: 1 706.17861 cents 4: 1 710.33778 cents 4: 1 777.79916 cents 5: 1 802.28234 cents 5: 1 818.10729 cents 5: 1 819.91849 cents 5: 1 846.42717 cents 5: 1 875.71410 cents 5: 1 887.37988 cents 5: 1 950.17073 cents 6: 1 927.68801 cents 6: 1 983.48361 cents 6: 1 1018.79873 cents 6: 1 1027.62843 cents 6: 1 1059.75145 cents 6: 1 1090.41928 cents 6: 1 1092.23049 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 : 109.6 381.9 489.7 706.2 887.4 1059.8 1200.0 109.6 : 272.3 380.1 596.6 777.8 950.2 1090.4 1200.0 381.9 : 107.8 324.3 505.5 677.9 818.1 927.7 1200.0 489.7 : 216.5 397.7 570.1 710.3 819.9 1092.2 1200.0 706.2 : 181.2 353.6 493.8 603.4 875.7 983.5 1200.0 887.4 : 172.4 312.6 422.2 694.5 802.3 1018.8 1200.0 1059.8: 140.2 249.8 522.1 629.9 846.4 1027.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 107.7695 .. 272.3120 cents 164.54248 cents 107.76951 cents 2: 249.8293 .. 397.7177 cents 147.88839 cents -22.48272 cents 3: 422.2008 .. 596.5979 cents 174.39706 cents 24.48318 cents 4: 603.4021 .. 777.7992 cents 174.39706 cents 6.80421 cents 5: 802.2823 .. 950.1707 cents 147.88839 cents 24.48318 cents 6: 927.6880 .. 1092.2305 cents 164.54248 cents -22.48272 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 107.76951 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 272.31199 cents Average / Smallest step : 1.590696 Largest / Average step : 1.588487 Largest / Smallest step : 2.526800 Median interval of one step : 172.37157 cents, amount: 1 Least squares average step : 174.01768 cents, oct.: 1218.12377 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BGAFEDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.80421 cents Scale diversity : 1.655759 Lumma stability : 0.226091 Lumma impropriety factor : 0.037471 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 : 1.81121 cents Number of recognisable fifths : 3, average 703.6764 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: 34.3522 c. M:-61.8479 c. Lebeng 9: 1 2 1 1 2 1 1 P M ME S SD: 30.5192 c. M:-45.9535 c. Pelog Saptanada: Sunda 10: 1 2 1 2 1 2 1 P M ME I SD: 22.4471 c. M: 47.3799 c. 12: 1 3 1 2 2 2 1 N T3 SD: 18.2988 c. M:-40.2486 c. Mela Suryakanta, Bhairubahar That, Raga Supradhipam, Sowrashtram (Sourashtra), Jaganmohini, Major-Melodic Phrygian, Hungarian Gipsy inverse 15: 1 4 1 3 2 2 2 N SD: 16.6127 c. M: 29.5807 c. 19: 2 4 2 3 3 3 2 P T3 SD: 11.1304 c. M:-16.7351 c. 22: 2 5 2 4 3 3 3 P SD: 10.5015 c. M: 23.3878 c. 31: 3 7 3 5 5 4 4 P SD: 8.9754 c. M: 14.5902 c. 32: 3 7 3 6 5 4 4 P SD: 7.1216 c. M:-12.6201 c. 34: 3 8 3 6 5 5 4 N SD: 3.7792 c. M:-6.3426 c. 54: 5 12 5 10 8 8 6 N SD: 3.6703 c. M:-6.9152 c. 66: 6 15 6 12 10 9 8 N SD: 2.6683 c. M: 5.2060 c. 76: 7 17 7 14 11 11 9 N SD: 2.4495 c. M:-4.3477 c. 78: 7 18 7 14 12 11 9 N SD: 2.6117 c. M:-4.9278 c. 85: 8 19 8 15 13 12 10 N SD: 2.2908 c. M:-4.4554 c. 88: 8 20 8 16 13 13 10 N SD: 1.9423 c. M:-3.8849 c. 100: 9 23 9 18 15 14 12 N SD: 2.0764 c. M: 3.7514 c. 110: 10 25 10 20 16 16 13 N SD: 1.9552 c. M: 3.7435 c. 111: 10 25 10 20 17 16 13 N SD: 2.3167 c. M: 3.5143 c. 112: 10 26 10 20 17 16 13 N SD: 2.2755 c. M:-3.8216 c. 119: 11 27 11 21 18 17 14 N SD: 1.8631 c. M:-4.4554 c. 122: 11 28 11 22 18 18 14 N SD: 1.8721 c. M:-2.5436 c. 145: 13 33 13 26 22 21 17 N SD: 1.6242 c. M: 2.7303 c. 154: 14 35 14 28 23 22 18 N SD: 1.2621 c. M:-2.9123 c. 161: 15 36 15 29 24 23 19 N SD: 1.6397 c. M:-2.2632 c. 172: 16 39 15 31 26 25 20 N SD: 1.4050 c. M:-2.0472 c. 188: 17 43 17 34 28 27 22 N SD: 1.2623 c. M:-2.3320 c. 189: 17 43 17 34 29 27 22 N SD: 1.1206 c. M: 1.6442 c. 204: 19 46 18 37 31 29 24 N SD: 1.1147 c. M:-2.1840 c. 211: 19 48 19 38 32 30 25 N SD: 1.0727 c. M: 1.9315 c. 216: 20 49 19 39 33 31 25 N SD: 1.1668 c. M:-1.5304 c. 223: 20 51 20 40 34 32 26 N SD: 0.9095 c. M: 1.9574 c. 230: 21 52 21 41 35 33 27 N SD: 0.8913 c. M: 1.8308 c. 238: 22 54 21 43 36 34 28 N SD: 0.8272 c. M:-1.3437 c. 265: 24 60 24 48 40 38 31 N SD: 0.7148 c. M: 1.5154 c. 285: 26 65 25 52 43 41 33 N SD: 1.0244 c. M:-1.3012 c. 289: 26 66 26 52 44 41 34 N SD: 0.8560 c. M: 1.6222 c. 292: 27 66 26 53 44 42 34 N SD: 0.6743 c. M:-1.3782 c. 299: 27 68 27 54 45 43 35 N SD: 0.5520 c. M: 1.2195 c. 318: 29 72 29 57 48 46 37 N SD: 0.5883 c. M:-0.9038 c. 326: 30 74 29 59 49 47 38 N SD: 0.5509 c. M:-0.9294 c. 384: 35 87 35 69 58 55 45 N SD: 0.4696 c. M:-0.9628 c. 427: 39 97 38 77 65 61 50 N SD: 0.4928 c. M: 0.7922 c. 437: 40 99 39 79 66 63 51 N SD: 0.4314 c. M: 0.8750 c. 461: 42 105 41 83 70 66 54 N SD: 0.4556 c. M: 0.7556 c. 471: 43 107 42 85 71 68 55 N SD: 0.3965 c. M: 0.7557 c. 503: 46 114 45 91 76 72 59 N SD: 0.3120 c. M: 0.5966 c. 515: 47 117 46 93 78 74 60 N SD: 0.2807 c. M:-0.4427 c. 537: 49 122 48 97 81 77 63 N SD: 0.2604 c. M: 0.5336 c. 591: 54 134 53 107 89 85 69 N SD: 0.2200 c. M:-0.4204 c. 625: 57 142 56 113 94 90 73 N SD: 0.2163 c. M:-0.3814 c. 710: 65 161 64 128 107 102 83 N SD: 0.2412 c. M:-0.4786 c. 802: 73 182 72 145 121 115 94 N SD: 0.2845 c. M: 0.3998 c. 811: 74 184 73 146 123 116 95 N SD: 0.2556 c. M:-0.4130 c. 814: 74 185 73 147 123 117 95 N SD: 0.2224 c. M: 0.4898 c. 821: 75 186 74 148 124 118 96 N SD: 0.1870 c. M: 0.4067 c. 845: 77 192 76 152 128 121 99 N SD: 0.2522 c. M: 0.3798 c. 855: 78 194 77 154 129 123 100 N SD: 0.1868 c. M: 0.3623 c. 899: 82 204 81 162 136 129 105 N SD: 0.1546 c. M:-0.2731 c. 1137: 104 258 102 205 172 163 133 N SD: 0.1401 c. M:-0.2191 c. 1147: 105 260 103 207 173 165 134 N SD: 0.1295 c. M:-0.2711 c. 1225: 112 278 110 221 185 176 143 N SD: 0.1276 c. M:-0.1669 c. 1336: 122 303 120 241 202 192 156 N SD: 0.1191 c. M: 0.1906 c. 1370: 125 311 123 247 207 197 160 N SD: 0.0953 c. M: 0.1932 c. 1436: 131 326 129 259 217 206 168 N SD: 0.0783 c. M: 0.1414 c. 1524: 139 346 137 275 230 219 178 N SD: 0.0854 c. M: 0.1319 c. 1728: 158 392 155 312 261 248 202 N SD: 0.0839 c. M:-0.1415 c. 1762: 161 400 158 318 266 253 206 N SD: 0.0768 c. M:-0.1731 c. 1961: 179 445 176 354 296 282 229 N SD: 0.0729 c. M: 0.1161 c. 2027: 185 460 182 366 306 291 237 N SD: 0.0577 c. M:-0.0868 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: 2.1118 cents 3 x x 4 x 5 x 6 S SD: 2.9702 cents 4 x 5 x 6:7 x 8 S SD: 20.4188 cents 5 x 6:7 x 8:9:10 S SD: 28.4381 cents 6 x 7:8:9:10:11:12 S SD: 19.3184 cents 7:8:9 x 11:12:13:14 SD: 26.7051 cents 8:9:10:11:12:13:15:16 SD: 17.9257 cents 9:10:11:12:14:15:17:18 SD: 15.4702 cents 10:11:12:13:15:17:18:20 SD: 15.3129 cents 11:12:14:15:17:18:20:22 SD: 13.7512 cents 12:13:15:16:18:20:22:24 SD: 4.6626 cents 27:29:34:36:41:45:50:54 SD: 4.3181 cents 28:30:35:37:42:47:52:56 SD: 2.9102 cents 33:35:41:44:50:55:61:66 SD: 2.7280 cents 40:43:50:53:60:67:74:80 SD: 2.6610 cents 44:47:55:58:66:73:81:88 SD: 2.5483 cents 45:48:56:60:68:75:83:90 SD: 1.8517 cents 46:49:57:61:69:77:85:92 SD: 1.8302 cents 58:62:72:77:87:97:107:116 SD: 1.5595 cents 61:65:76:81:92:102:113:122 SD: 1.3920 cents 64:68:80:85:96:107:118:128 SD: 1.1725 cents 76:81:95:101:114:127:140:152 SD: 1.0295 cents 89:95:111:118:134:149:164:178 SD: 0.9421 cents 105:112:131:139:158:175:194:210 SD: 0.9272 cents 109:116:136:145:164:182:201:218 SD: 0.7220 cents 137:146:171:182:206:229:253:274 SD: 0.5903 cents 153:163:191:203:230:255:282:306 SD: 0.5595 cents 169:180:211:224:254:282:312:338 SD: 0.5304 cents 181:193:226:240:272:302:334:362 SD: 0.5197 cents 187:199:233:248:281:312:345:374 SD: 0.4209 cents 199:212:248:264:299:332:367:398 SD: 0.2923 cents 260:277:324:345:391:434:480:520 SD: 0.2794 cents 276:294:344:366:415:461:509:552 SD: 0.2062 cents 336:358:419:446:505:561:620:672 SD: 0.1937 cents 385:410:480:511:579:643:710:770 SD: 0.1518 cents 397:423:495:527:597:663:732:794 SD: 0.1491 cents 490:522:611:650:737:818:904:980 SD: 0.1258 cents 566:603:706:751:851:945:1044:1132 SD: 0.1113 cents 584:622:728:775:878:975:1077:1168 SD: 0.0971 cents