Scala analysis: CD04_07_Egypt
Le prisonnier de l'amour - Dâwûd Khudr Husnî (zunjuran, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 96.707 cents 96.706998 2: 405.099 cents 405.098732 3: 495.853 cents 495.852974 4: 701.200 cents 701.200132 5: 905.249 cents 905.249072 6: 978.450 cents 978.450094 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 221.5499 cents 221.5499 1: 96.7070 cents 96.7070 2: 308.3917 cents 308.3917 3: 90.7542 cents 90.7542 4: 205.3472 cents 205.3472 5: 204.0489 cents 204.0489 6: 73.2010 cents 73.2010 7: 221.5499 cents 221.5499
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 73.20102 cents 1: 1 90.75424 cents 1: 1 96.70700 cents 1: 1 204.04894 cents 1: 1 205.34716 cents 1: 1 221.54991 cents 1: 1 308.39173 cents 2: 1 277.24996 cents 2: 1 294.75093 cents 2: 1 296.10140 cents 2: 1 318.25690 cents 2: 1 399.14598 cents 2: 1 405.09873 cents 2: 1 409.39610 cents 3: 1 391.45793 cents 3: 1 482.59712 cents 3: 1 495.85297 cents 3: 1 498.79987 cents 3: 1 500.15034 cents 3: 1 604.49313 cents 3: 1 626.64864 cents 4: 1 573.35136 cents 4: 1 595.50687 cents 4: 1 699.84966 cents 4: 1 701.20013 cents 4: 1 704.14703 cents 4: 1 717.40288 cents 4: 1 808.54207 cents 5: 1 790.60390 cents 5: 1 794.90127 cents 5: 1 800.85402 cents 5: 1 881.74310 cents 5: 1 903.89860 cents 5: 1 905.24907 cents 5: 1 922.75004 cents 6: 1 891.60827 cents 6: 1 978.45009 cents 6: 1 994.65284 cents 6: 1 995.95106 cents 6: 1 1103.29300 cents 6: 1 1109.24576 cents 6: 1 1126.79898 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 : 96.7 405.1 495.9 701.2 905.2 978.5 1200.0 96.7 : 308.4 399.1 604.5 808.5 881.7 1103.3 1200.0 405.1 : 90.8 296.1 500.2 573.4 794.9 891.6 1200.0 495.9 : 205.3 409.4 482.6 704.1 800.9 1109.2 1200.0 701.2 : 204.0 277.2 498.8 595.5 903.9 994.7 1200.0 905.2 : 73.2 294.8 391.5 699.8 790.6 996.0 1200.0 978.5 : 221.5 318.3 626.6 717.4 922.8 1126.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 73.2010 .. 308.3917 cents 235.19071 cents 73.20102 cents 2: 277.2500 .. 409.3961 cents 132.14614 cents -31.14177 cents 3: 391.4579 .. 626.6486 cents 235.19071 cents -17.93817 cents 4: 573.3514 .. 808.5421 cents 235.19071 cents -53.29728 cents 5: 790.6039 .. 922.7500 cents 132.14614 cents -17.93817 cents 6: 891.6083 .. 1126.7990 cents 235.19071 cents -31.14177 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 73.20102 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 308.39173 cents Average / Smallest step : 2.341888 Largest / Average step : 1.798952 Largest / Smallest step : 4.212943 Median interval of one step : 204.04894 cents, amount: 1 Least squares average step : 171.40150 cents, oct.: 1199.81049 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CGBEDAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.68805 cents Scale diversity : 1.511000 Lumma stability : 0.122002 Lumma impropriety factor : 0.126214 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 : 1.29822 cents Number of recognisable fifths : 4, average 705.6499 cents Number of appreciable fifths : 3, average 701.7323 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 46.0795 c. M:-74.7216 c. Lebeng 9: 1 2 1 1 2 0 2 N D3 SD: 31.1427 c. M: 45.1168 c. 10: 1 2 1 2 2 0 2 N T3 SD: 30.5176 c. M:-54.7509 c. 12: 1 3 1 2 2 1 2 P D3 SD: 8.8433 c. M:-21.5499 c. Harmonic Minor inverse, Mixolydian flat 2, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Hevitri, Vegavahini, Makam Hicaz, Zanjaran 21: 2 5 2 3 4 1 4 N SD: 12.2215 c. M:-18.4327 c. 26: 2 7 2 4 5 1 5 N SD: 10.3318 c. M:-17.8279 c. 27: 2 7 2 5 4 2 5 N SD: 8.4680 c. M: 16.3602 c. 29: 2 8 2 5 5 2 5 N D3 SD: 8.5889 c. M:-14.6534 c. 33: 3 8 3 5 6 2 6 N SD: 8.3376 c. M:-13.2379 c. 34: 3 9 2 6 6 2 6 N SD: 9.9876 c. M:-18.4307 c. 36: 3 9 3 6 6 2 7 N SD: 5.6300 c. M: 11.7834 c. 38: 3 10 3 6 7 2 7 N SD: 6.2680 c. M:-10.5404 c. 41: 3 11 3 7 7 2 8 N SD: 6.1914 c. M: 12.5964 c. 48: 4 12 4 8 8 3 9 N SD: 3.6827 c. M: 5.2491 c. 53: 4 14 4 9 9 3 10 N SD: 3.2321 c. M: 6.1410 c. 65: 5 17 5 11 11 4 12 N SD: 1.9924 c. M: 4.3993 c. 77: 6 20 6 13 13 5 14 N SD: 2.1230 c. M:-3.3681 c. 109: 9 28 8 19 18 7 20 N SD: 2.0850 c. M:-3.3870 c. 113: 9 29 9 19 19 7 21 N SD: 1.8248 c. M:-3.2621 c. 135: 11 35 10 23 23 8 25 N SD: 1.8017 c. M:-3.7902 c. 145: 12 37 11 25 24 9 27 N SD: 1.9351 c. M: 3.1801 c. 146: 12 37 11 25 25 9 27 N SD: 1.8748 c. M: 2.7023 c. 147: 12 38 11 25 25 9 27 N SD: 1.6111 c. M:-3.0645 c. 151: 12 39 11 26 26 9 28 N SD: 1.5398 c. M: 3.1377 c. 152: 12 39 12 26 26 9 28 N SD: 1.7550 c. M:-2.6457 c. 158: 13 40 12 27 27 10 29 N SD: 1.9023 c. M: 2.5671 c. 159: 13 41 12 27 27 10 29 N SD: 1.7285 c. M:-2.6820 c. 162: 13 42 12 28 27 10 30 N SD: 1.4542 c. M:-2.5036 c. 163: 13 42 12 28 28 10 30 N SD: 1.2899 c. M: 2.6014 c. 174: 14 45 13 30 29 11 32 N SD: 1.3513 c. M:-2.2481 c. 175: 14 45 13 30 30 11 32 N SD: 1.3629 c. M: 2.1387 c. 195: 16 50 15 33 33 12 36 N SD: 1.2824 c. M:-2.6086 c. 199: 16 51 15 34 34 12 37 N SD: 1.1338 c. M: 1.7026 c. 211: 17 54 16 36 36 13 39 N SD: 0.9768 c. M: 1.6741 c. 223: 18 57 17 38 38 14 41 N SD: 1.0667 c. M: 1.6486 c. 228: 18 59 17 39 39 14 42 N SD: 0.9887 c. M: 1.9702 c. 245: 20 63 18 42 42 15 45 N SD: 1.0458 c. M:-1.4319 c. 249: 20 64 19 42 43 15 46 N SD: 0.9905 c. M: 2.4050 c. 260: 21 67 19 45 44 16 48 N SD: 0.9027 c. M: 2.0068 c. 264: 21 68 20 45 45 16 49 N SD: 0.8746 c. M: 1.2525 c. 276: 22 71 21 47 47 17 51 N SD: 0.7564 c. M: 1.2001 c. 281: 23 72 21 48 48 17 52 N SD: 0.7426 c. M:-1.5136 c. 293: 24 75 22 50 50 18 54 N SD: 0.7209 c. M:-1.5865 c. 310: 25 80 23 53 53 19 57 N SD: 0.6978 c. M:-1.3529 c. 325: 26 84 24 56 55 20 60 N SD: 0.6870 c. M: 1.0837 c. 334: 27 86 25 57 57 20 62 N SD: 0.6227 c. M: 1.2046 c. 337: 27 87 25 58 57 21 62 N SD: 0.6704 c. M: 0.8975 c. 346: 28 89 26 59 59 21 64 N SD: 0.4138 c. M:-0.6816 c. 358: 29 92 27 61 61 22 66 N SD: 0.3977 c. M: 0.6415 c. 423: 34 109 32 72 72 26 78 N SD: 0.4058 c. M:-0.6009 c. 460: 37 118 35 79 78 28 85 N SD: 0.3715 c. M: 0.7509 c. 530: 43 136 40 91 90 32 98 N SD: 0.4162 c. M:-0.6867 c. 537: 43 138 41 92 91 33 99 N SD: 0.4161 c. M: 0.6295 c. 542: 44 139 41 93 92 33 100 N SD: 0.3847 c. M:-0.7100 c. 595: 48 153 45 102 101 36 110 N SD: 0.3307 c. M:-0.6486 c. 607: 49 156 46 104 103 37 112 N SD: 0.2957 c. M:-0.6121 c. 619: 50 159 47 106 105 38 114 N SD: 0.3548 c. M:-0.5769 c. 643: 52 165 49 110 109 39 119 N SD: 0.3806 c. M:-0.5700 c. 655: 53 168 50 112 111 40 121 N SD: 0.3574 c. M:-0.6356 c. 672: 54 173 51 115 114 41 124 N SD: 0.3474 c. M:-0.5856 c. 673: 54 173 51 115 115 41 124 N SD: 0.3840 c. M:-0.5459 c. 683: 55 176 51 117 116 42 126 N SD: 0.3719 c. M:-0.7578 c. 693: 56 178 52 119 118 42 128 N SD: 0.2972 c. M: 0.6149 c. 697: 56 179 53 119 119 42 129 N SD: 0.3768 c. M: 0.5448 c. 704: 57 181 53 120 120 43 130 N SD: 0.3766 c. M: 0.6320 c. 705: 57 181 53 121 120 43 130 N SD: 0.2789 c. M: 0.5338 c. 741: 60 190 56 127 126 45 137 N SD: 0.2565 c. M:-0.4590 c. 746: 60 192 56 128 127 45 138 N SD: 0.2995 c. M: 0.4340 c. 753: 61 193 57 129 128 46 139 N SD: 0.2440 c. M:-0.5042 c. 758: 61 195 57 130 129 46 140 N SD: 0.1971 c. M: 0.3385 c. 770: 62 198 58 132 131 47 142 N SD: 0.1705 c. M: 0.2686 c. 806: 65 207 61 138 137 49 149 N SD: 0.1271 c. M: 0.2863 c. 818: 66 210 62 140 139 50 151 N SD: 0.1011 c. M: 0.2088 c. 1164: 94 299 88 199 198 71 215 N SD: 0.1142 c. M:-0.2002 c. 1229: 99 316 93 210 209 75 227 N SD: 0.1092 c. M:-0.1600 c. 1576: 127 405 119 270 268 96 291 N SD: 0.0761 c. M: 0.1677 c. 1588: 128 408 120 272 270 97 293 N SD: 0.0818 c. M:-0.1393 c. 1641: 132 422 124 281 279 100 303 N SD: 0.0810 c. M: 0.1805 c. 1689: 136 434 128 289 287 103 312 N SD: 0.0862 c. M: 0.1254 c. 1922: 155 494 145 329 327 117 355 N SD: 0.0801 c. M: 0.1194 c. 1934: 156 497 146 331 329 118 357 N SD: 0.0627 c. M: 0.0929 c. 1999: 161 514 151 342 340 122 369 N SD: 0.0511 c. M:-0.1039 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: 0.3774 cents 3 x x 4 x 5 x 6 S SD: 7.0017 cents 4 x 5 x 6 x 7:8 S SD: 5.2801 cents 5 x 6:7 x 8:9:10 S SD: 31.8927 cents 6 x x 8:9:10:11:12 S SD: 14.7924 cents 7:8:9 x 11:12 x 14 SD: 32.4753 cents 8:9:10:11:12 x 14:16 S SD: 20.4226 cents 9:10:11:12:14:15:16:18 S SD: 17.7765 cents 10:11 x 13:15:17:18:20 SD: 15.0099 cents 11:12:14:15:17 x 19:22 SD: 15.4034 cents 12:13:15:16:18:20:21:24 SD: 7.3402 cents 16:17:20:21:24:27:28:32 SD: 4.8300 cents 18:19:23:24:27:30:32:36 SD: 4.8102 cents 22:23:28:29:33:37:39:44 SD: 4.6139 cents 30:32:38:40:45:51:53:60 SD: 3.1092 cents 34:36:43:45:51:57:60:68 SD: 2.2978 cents 50:53:63:67:75:84:88:100 SD: 2.0726 cents 54:57:68:72:81:91:95:108 SD: 1.0541 cents 84:89:106:112:126:142:148:168 SD: 0.9084 cents 102:108:129:136:153:172:179:204 SD: 0.8553 cents 106:112:134:141:159:179:187:212 SD: 0.7635 cents 118:125:149:157:177:199:208:236 SD: 0.6763 cents 121:128:153:161:181:204:213:242 SD: 0.6558 cents 154:163:195:205:231:260:271:308 SD: 0.6114 cents 156:165:197:208:234:263:275:312 SD: 0.5876 cents 160:169:202:213:240:270:282:320 SD: 0.5493 cents 172:182:217:229:258:290:303:344 SD: 0.5287 cents 175:185:221:233:262:295:308:350 SD: 0.4402 cents 178:188:225:237:267:300:313:356 SD: 0.4373 cents 208:220:263:277:312:351:366:416 SD: 0.2165 cents 262:277:331:349:393:442:461:524 SD: 0.1546 cents 383:405:484:510:574:646:674:766 SD: 0.1135 cents 591:625:747:787:886:997:1040:1182 SD: 0.0738 cents