Scala analysis: CD01_18_rast_Egypt
Il apparut et dans sa main - Darwîsh Muhammad al-Harîrî (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 205.793 cents 205.792504 2: 343.215 cents 343.214669 3: 498.741 cents 498.740606 4: 696.435 cents 696.434676 5: 805.167 cents 805.166819 6: 924.493 cents 924.493427 7: 1042.033 cents 1042.033396 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 157.9666 cents 157.9666 1: 205.7925 cents 205.7925 2: 137.4222 cents 137.4222 3: 155.5259 cents 155.5259 4: 197.6941 cents 197.6941 5: 108.7321 cents 108.7321 6: 119.3266 cents 119.3266 7: 117.5400 cents 117.5400 8: 157.9666 cents 157.9666
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 108.73214 cents 1: 1 117.53997 cents 1: 1 119.32661 cents 1: 1 137.42216 cents 1: 1 155.52594 cents 1: 1 157.96660 cents 1: 1 197.69407 cents 1: 1 205.79250 cents 2: 1 228.05875 cents 2: 1 236.86658 cents 2: 1 275.50657 cents 2: 1 292.94810 cents 2: 1 306.42621 cents 2: 1 343.21467 cents 2: 1 353.22001 cents 2: 1 363.75911 cents 3: 1 345.59872 cents 3: 1 394.83318 cents 3: 1 425.75282 cents 3: 1 461.95215 cents 3: 1 481.29908 cents 3: 1 490.64217 cents 3: 1 498.74061 cents 3: 1 501.18127 cents 4: 1 503.56532 cents 4: 1 543.29279 cents 4: 1 581.27876 cents 4: 1 599.37432 cents 4: 1 600.62568 cents 4: 1 618.72124 cents 4: 1 656.70721 cents 4: 1 696.43468 cents 5: 1 698.81873 cents 5: 1 701.25939 cents 5: 1 709.35783 cents 5: 1 718.70092 cents 5: 1 738.04785 cents 5: 1 774.24718 cents 5: 1 805.16682 cents 5: 1 854.40128 cents 6: 1 836.24089 cents 6: 1 846.77999 cents 6: 1 856.78533 cents 6: 1 893.57379 cents 6: 1 907.05190 cents 6: 1 924.49343 cents 6: 1 963.13342 cents 6: 1 971.94125 cents 7: 1 994.20750 cents 7: 1 1002.30593 cents 7: 1 1042.03340 cents 7: 1 1044.47406 cents 7: 1 1062.57784 cents 7: 1 1080.67339 cents 7: 1 1082.46003 cents 7: 1 1091.26786 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 : 205.8 343.2 498.7 696.4 805.2 924.5 1042.0 1200.0 205.8 : 137.4 292.9 490.6 599.4 718.7 836.2 994.2 1200.0 343.2 : 155.5 353.2 462.0 581.3 698.8 856.8 1062.6 1200.0 498.7 : 197.7 306.4 425.8 543.3 701.3 907.1 1044.5 1200.0 696.4 : 108.7 228.1 345.6 503.6 709.4 846.8 1002.3 1200.0 805.2 : 119.3 236.9 394.8 600.6 738.0 893.6 1091.3 1200.0 924.5 : 117.5 275.5 481.3 618.7 774.2 971.9 1080.7 1200.0 1042.0: 158.0 363.8 501.2 656.7 854.4 963.1 1082.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 108.7321 .. 205.7925 cents 97.06036 cents 108.73214 cents 2: 228.0588 .. 363.7591 cents 135.70036 cents 22.26625 cents 3: 345.5987 .. 501.1813 cents 155.58255 cents -18.16039 cents 4: 503.5653 .. 696.4347 cents 192.86935 cents 2.38405 cents 5: 698.8187 .. 854.4013 cents 155.58255 cents 2.38405 cents 6: 836.2409 .. 971.9412 cents 135.70036 cents -18.16039 cents 7: 994.2075 .. 1091.2679 cents 97.06036 cents 22.26625 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 108.73214 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 205.79250 cents Average / Smallest step : 1.379537 Largest / Average step : 1.371950 Largest / Smallest step : 1.892656 Median interval of one step : 146.47405 cents, amount: 0 Least squares average step : 155.10397 cents, oct.: 1240.83180 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : HDEGACBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.38405 cents Scale diversity : 1.608191 Lumma stability : 0.222304 Lumma impropriety factor : 0.030267 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 : 1.25137 cents Number of recognisable fifths : 5, average 704.9143 cents Number of appreciable fifths : 4, average 701.4677 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 50.4509 c. M: 96.4347 c. 9: 2 1 1 1 1 1 1 1 P M ME SD: 34.8652 c. M:-60.8742 c. 10: 2 1 1 2 1 1 1 1 P D3 S SD: 28.0044 c. M:-37.9666 c. 12: 2 1 2 2 1 1 1 2 N D3 SD: 23.2077 c. M: 43.2147 c. Raga Mukhari, Anandabhairavi, Deshi (Desi), Khat, Manji, Gregorian nr.1, Dorian/Aeolian mixed 14: 2 2 2 2 1 2 1 2 P D3 SD: 19.9822 c. M: 34.3639 c. 17: 3 2 2 3 1 2 2 2 P SD: 13.1964 c. M: 28.6962 c. 21: 4 2 3 3 2 2 2 3 N SD: 12.1845 c. M:-22.7789 c. 22: 4 2 3 4 2 2 2 3 N SD: 10.2373 c. M: 15.9419 c. Raga Anandabhairavi 24: 4 3 3 4 2 2 3 3 P SD: 9.8994 c. M: 24.4934 c. 29: 5 3 4 5 2 3 3 4 N SD: 10.1257 c. M: 18.9599 c. 31: 5 4 4 5 3 3 3 4 P SD: 5.9910 c. M: 12.2441 c. 36: 6 4 5 6 3 4 3 5 N SD: 6.3838 c. M: 9.8813 c. 43: 7 5 6 7 4 4 4 6 N SD: 6.2494 c. M: 10.4437 c. 45: 8 5 6 7 4 5 4 6 N SD: 5.5924 c. M:-8.8399 c. 46: 8 5 6 8 4 4 5 6 N SD: 5.5103 c. M: 11.4499 c. 48: 8 6 6 8 4 5 5 6 P SD: 4.7999 c. M:-7.9666 c. 52: 9 6 7 8 5 5 5 7 N SD: 4.0397 c. M:-8.9517 c. 60: 10 7 8 10 5 6 6 8 N SD: 3.6947 c. M: 5.7925 c. 69: 12 8 9 11 6 7 7 9 N SD: 3.5021 c. M:-5.6072 c. 70: 12 8 9 12 6 7 7 9 N SD: 2.7220 c. M:-6.4225 c. 77: 13 9 10 13 7 7 8 10 N SD: 3.3710 c. M:-5.2228 c. 88: 15 10 12 14 8 9 8 12 N SD: 3.1974 c. M:-5.8048 c. 91: 16 10 12 15 8 9 9 12 N SD: 2.2763 c. M:-5.1965 c. 92: 16 10 12 15 9 9 9 12 N SD: 3.1235 c. M: 5.1303 c. 97: 17 11 12 16 9 10 9 13 N SD: 3.1508 c. M:-4.5168 c. 98: 17 11 13 16 9 10 9 13 N SD: 2.8910 c. M:-6.1188 c. 100: 17 12 13 16 9 10 10 13 N SD: 2.7257 c. M:-5.2594 c. 104: 18 12 13 17 10 10 10 14 N SD: 2.6719 c. M: 4.1270 c. 105: 18 12 14 17 9 11 10 14 N SD: 2.4976 c. M: 5.1668 c. 109: 19 12 14 18 10 11 11 14 N SD: 2.5359 c. M:-3.8382 c. 112: 19 13 14 19 10 11 11 15 N SD: 2.7195 c. M: 5.8835 c. 113: 19 13 15 19 10 11 11 15 N SD: 2.5837 c. M:-4.4503 c. 115: 20 13 15 19 10 12 11 15 N SD: 2.3481 c. M:-4.2022 c. 116: 20 13 15 19 11 11 12 15 N SD: 2.3912 c. M: 3.8038 c. 121: 21 14 15 20 11 12 12 16 N SD: 2.3228 c. M:-3.8928 c. 122: 21 14 16 20 11 12 12 16 N SD: 1.4180 c. M:-2.8987 c. 139: 24 16 18 23 12 14 14 18 N SD: 1.9635 c. M:-2.8459 c. 140: 24 16 18 23 13 14 14 18 N SD: 1.6824 c. M:-3.6809 c. 152: 26 17 20 25 14 15 15 20 N SD: 1.5696 c. M: 3.7410 c. 157: 27 18 20 26 14 16 15 21 N SD: 1.5339 c. M: 2.6190 c. 158: 27 18 21 26 14 16 15 21 N SD: 1.6195 c. M:-2.5252 c. 162: 28 18 21 27 15 16 16 21 N SD: 1.8577 c. M: 2.4739 c. 164: 28 19 21 27 15 16 16 22 N SD: 1.5821 c. M: 3.0090 c. 174: 30 20 22 29 16 17 17 23 N SD: 1.2335 c. M: 2.1889 c. 188: 32 22 24 31 17 19 18 25 N SD: 1.1312 c. M: 1.6079 c. 210: 36 24 27 35 19 21 20 28 N SD: 1.0673 c. M: 2.0334 c. 221: 38 25 29 36 20 22 22 29 N SD: 1.0532 c. M: 1.5469 c. 231: 40 26 30 38 21 23 23 30 N SD: 1.0474 c. M:-2.1224 c. 234: 40 27 30 39 21 23 23 31 N SD: 0.8881 c. M: 1.4165 c. 252: 43 29 33 41 23 25 25 33 N SD: 0.8305 c. M:-1.2594 c. 258: 44 30 33 43 23 26 25 34 N SD: 0.8944 c. M:-1.2397 c. 262: 45 30 34 43 24 26 26 34 N SD: 0.9280 c. M:-2.2414 c. 267: 46 30 35 44 24 27 26 35 N SD: 0.8919 c. M: 1.6416 c. 274: 47 31 36 45 25 27 27 36 N SD: 0.6696 c. M: 1.6088 c. 279: 48 32 36 46 25 28 27 37 N SD: 0.6638 c. M: 1.1732 c. 310: 53 36 40 51 28 31 30 41 N SD: 0.6692 c. M:-1.3015 c. 332: 57 38 43 55 30 33 32 44 N SD: 0.7026 c. M:-1.1557 c. 340: 58 39 44 56 31 34 33 45 N SD: 0.8225 c. M: 1.1406 c. 343: 59 39 45 56 31 34 34 45 N SD: 0.7312 c. M:-1.5509 c. 349: 60 40 45 58 31 35 34 46 N SD: 0.6784 c. M:-1.5596 c. 356: 61 41 46 59 32 35 35 47 N SD: 0.6495 c. M:-1.3181 c. 374: 64 43 48 62 34 37 37 49 N SD: 0.6140 c. M: 1.4144 c. 389: 67 44 51 64 35 39 38 51 N SD: 0.7336 c. M:-1.0023 c. 395: 68 45 51 65 36 39 39 52 N SD: 0.5419 c. M: 0.9491 c. 402: 69 46 52 66 37 40 39 53 N SD: 0.5478 c. M: 0.9123 c. 409: 70 47 53 67 37 41 40 54 N SD: 0.6344 c. M: 1.2548 c. 410: 70 47 53 68 37 41 40 54 N SD: 0.6215 c. M: 1.1796 c. 419: 72 48 54 69 38 42 41 55 N SD: 0.4288 c. M:-0.5662 c. 426: 73 49 55 70 39 42 42 56 N SD: 0.3956 c. M: 0.6600 c. 431: 74 49 56 71 39 43 42 57 N SD: 0.4661 c. M: 0.7553 c. 462: 79 53 60 76 42 46 45 61 N SD: 0.3270 c. M: 0.5977 c. 532: 91 61 69 88 48 53 52 70 N SD: 0.3344 c. M:-0.5578 c. 541: 93 62 70 89 49 54 53 71 N SD: 0.3795 c. M:-0.5931 c. 553: 95 63 72 91 50 55 54 73 N SD: 0.2762 c. M: 0.4421 c. 693: 119 79 90 114 63 69 68 91 N SD: 0.2493 c. M:-0.3908 c. 775: 133 89 100 128 70 77 76 102 N SD: 0.2376 c. M:-0.5273 c. 815: 140 93 106 134 74 81 80 107 N SD: 0.2643 c. M:-0.4206 c. 857: 147 98 111 141 78 85 84 113 N SD: 0.2612 c. M: 0.5187 c. 875: 150 100 114 144 79 87 86 115 N SD: 0.2533 c. M:-0.4594 c. 881: 151 101 114 145 80 88 86 116 N SD: 0.2212 c. M: 0.4074 c. 905: 155 104 117 149 82 90 89 119 N SD: 0.2371 c. M: 0.3049 c. 927: 159 106 120 153 84 92 91 122 N SD: 0.1621 c. M: 0.3587 c. 979: 168 112 127 161 89 97 96 129 N SD: 0.1611 c. M: 0.2851 c. 1003: 172 115 130 165 91 100 98 132 N SD: 0.1492 c. M:-0.3321 c. 1049: 180 120 136 173 95 104 103 138 N SD: 0.1330 c. M:-0.2288 c. 1237: 212 142 160 204 112 123 121 163 N SD: 0.1133 c. M:-0.1968 c. 1511: 259 173 196 249 137 150 148 199 N SD: 0.0849 c. M: 0.1306 c. 1930: 331 221 250 318 175 192 189 254 N SD: 0.0471 c. M: 0.0878 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 2.7602 cents 3 x x 4 x x 5 x 6 S SD: 13.3802 cents 4 x 5 x 6 x 7 x 8 S SD: 15.5189 cents 5 x 6:7 x 8 x 9:10 S SD: 18.3823 cents 6:7 x 8:9 x 10:11:12 S SD: 12.2770 cents 7:8 x 9:10:11:12:13:14 S SD: 15.9066 cents 8:9:10:11:12:13:14:15:16 H SD: 12.5059 cents 9:10:11:12:13:14:15:16:18 S SD: 12.1738 cents 10:11:12:13:15:16:17:18:20 SD: 8.9627 cents 14:16:17:19:21:22:24:26:28 SD: 6.9492 cents 17:19:21:23:25:27:29:31:34 SD: 5.7822 cents 18:20:22:24:27:29:31:33:36 SD: 4.5863 cents 22:25:27:29:33:35:38:40:44 SD: 4.5782 cents 23:26:28:31:34:37:39:42:46 SD: 4.3126 cents 24:27:29:32:36:38:41:44:48 SD: 2.5936 cents 40:45:49:53:60:64:68:73:80 SD: 2.3067 cents 41:46:50:55:61:65:70:75:82 SD: 2.1045 cents 47:53:57:63:70:75:80:86:94 SD: 1.9902 cents 54:61:66:72:81:86:92:99:108 SD: 1.4479 cents 63:71:77:84:94:100:107:115:126 SD: 1.3492 cents 64:72:78:85:96:102:109:117:128 SD: 1.2890 cents 69:78:84:92:103:110:118:126:138 SD: 1.1356 cents 78:88:95:104:117:124:133:142:156 SD: 1.0766 cents 81:91:99:108:121:129:138:148:162 SD: 0.8444 cents 105:118:128:140:157:167:179:192:210 SD: 0.6458 cents 137:154:167:183:205:218:234:250:274 SD: 0.6318 cents 149:168:182:199:223:237:254:272:298 SD: 0.6291 cents 150:169:183:200:224:239:256:274:300 SD: 0.4031 cents 174:196:212:232:260:277:297:318:348 SD: 0.3617 cents 206:232:251:275:308:328:351:376:412 SD: 0.3322 cents 228:257:278:304:341:363:389:416:456 SD: 0.2503 cents 269:303:328:359:402:428:459:491:538 SD: 0.2349 cents 309:348:377:412:462:492:527:564:618 SD: 0.1751 cents 333:375:406:444:498:530:568:608:666 SD: 0.1266 cents 539:607:657:719:806:858:919:984:1078 SD: 0.1231 cents