Scala analysis: CD02_05_Egypt
Ô nuit d'amour / Elle ranime les âmes - Darwîsh Muhammad al-Harîrî (jaharkah, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 146.200 cents 146.199842 2: 353.465 cents 353.464656 3: 538.978 cents 538.977809 4: 611.462 cents 611.462384 5: 850.371 cents 850.371147 6: 1038.723 cents 1038.722835 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 161.2772 cents 161.2772 1: 146.1998 cents 146.1998 2: 207.2648 cents 207.2648 3: 185.5132 cents 185.5132 4: 72.4846 cents 72.4846 5: 238.9088 cents 238.9088 6: 188.3517 cents 188.3517 7: 161.2772 cents 161.2772
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 72.48458 cents 1: 1 146.19984 cents 1: 1 161.27717 cents 1: 1 185.51315 cents 1: 1 188.35169 cents 1: 1 207.26481 cents 1: 1 238.90876 cents 2: 1 257.99773 cents 2: 1 307.47701 cents 2: 1 311.39334 cents 2: 1 349.62885 cents 2: 1 353.46466 cents 2: 1 392.77797 cents 2: 1 427.26045 cents 3: 1 465.26254 cents 3: 1 495.82870 cents 3: 1 496.90649 cents 3: 1 499.74503 cents 3: 1 514.74182 cents 3: 1 538.97781 cents 3: 1 588.53762 cents 4: 1 611.46238 cents 4: 1 661.02219 cents 4: 1 685.25818 cents 4: 1 700.25497 cents 4: 1 703.09351 cents 4: 1 704.17130 cents 4: 1 734.73746 cents 5: 1 772.73955 cents 5: 1 807.22203 cents 5: 1 846.53534 cents 5: 1 850.37115 cents 5: 1 888.60666 cents 5: 1 892.52299 cents 5: 1 942.00227 cents 6: 1 961.09124 cents 6: 1 992.73519 cents 6: 1 1011.64831 cents 6: 1 1014.48685 cents 6: 1 1038.72284 cents 6: 1 1053.80016 cents 6: 1 1127.51542 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 : 146.2 353.5 539.0 611.5 850.4 1038.7 1200.0 146.2 : 207.3 392.8 465.3 704.2 892.5 1053.8 1200.0 353.5 : 185.5 258.0 496.9 685.3 846.5 992.7 1200.0 539.0 : 72.5 311.4 499.7 661.0 807.2 1014.5 1200.0 611.5 : 238.9 427.3 588.5 734.7 942.0 1127.5 1200.0 850.4 : 188.4 349.6 495.8 703.1 888.6 961.1 1200.0 1038.7: 161.3 307.5 514.7 700.3 772.7 1011.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 72.4846 .. 238.9088 cents 166.42419 cents 72.48458 cents 2: 257.9977 .. 427.2605 cents 169.26272 cents 19.08897 cents 3: 465.2625 .. 588.5376 cents 123.27507 cents 38.00209 cents 4: 611.4624 .. 734.7375 cents 123.27507 cents 22.92477 cents 5: 772.7395 .. 942.0023 cents 169.26272 cents 38.00209 cents 6: 961.0912 .. 1127.5154 cents 166.42419 cents 19.08896 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 72.48458 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 238.90876 cents Average / Smallest step : 2.365035 Largest / Average step : 1.393634 Largest / Smallest step : 3.295995 Median interval of one step : 185.51315 cents, amount: 1 Least squares average step : 170.00075 cents, oct.: 1190.00524 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BFDAGEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 19.08897 cents Scale diversity : 1.710150 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.235063 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 : 1.07780 cents Number of recognisable fifths : 3, average 702.5066 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: 31.6701 c. M:-74.2519 c. Lebeng 8: 1 1 2 0 2 1 1 P D3 I SD: 36.4852 c. M:-61.0222 c. 9: 1 2 1 1 1 2 1 P M ME I SD: 35.3120 c. M:-55.2043 c. 10: 1 2 1 1 2 2 1 P D3 S SD: 29.6414 c. M: 58.9778 c. 11: 1 2 2 1 2 2 1 P D3 I SD: 32.0366 c. M:-52.1863 c. 13: 2 2 2 1 2 2 2 SP M ME I SD: 24.1359 c. M:-38.4155 c. Horthatian 14: 2 2 2 1 3 2 2 P T3 SD: 15.3017 c. M:-25.2287 c. 16: 2 3 2 1 3 3 2 P SD: 15.0040 c. M: 25.3711 c. 17: 2 3 3 1 3 3 2 SP D3 I SD: 15.4476 c. M:-25.7281 c. Naghmeh Abuata, Naghmeh Afshari 20: 2 4 3 1 4 3 3 P SD: 13.7305 c. M: 26.1998 c. 23: 3 4 3 2 4 4 3 SP SD: 12.0791 c. M: 17.2387 c. 24: 3 4 4 1 5 4 3 P SD: 7.6217 c. M: 11.4624 c. 31: 4 5 5 2 6 5 4 SP SD: 5.5349 c. M:-8.6389 c. 47: 6 8 7 3 9 8 6 SP SD: 5.3562 c. M:-8.0857 c. 51: 6 9 8 3 10 8 7 SP SD: 2.7558 c. M: 5.0234 c. 65: 8 11 10 4 13 10 9 SP SD: 2.7377 c. M: 4.8767 c. 75: 9 13 12 4 15 12 10 SP SD: 2.7110 c. M:-5.0222 c. 82: 10 14 13 5 16 13 11 SP SD: 1.8486 c. M:-3.1718 c. 116: 14 20 18 7 23 18 16 SP SD: 2.0572 c. M: 4.2401 c. 133: 16 23 21 8 26 21 18 SP SD: 1.7796 c. M:-2.3756 c. 140: 17 24 22 8 28 22 19 SP SD: 1.6699 c. M: 2.8910 c. 147: 18 25 23 9 29 23 20 SP SD: 1.3661 c. M: 2.4442 c. 165: 20 29 25 10 33 26 22 SP SD: 1.2994 c. M:-2.8990 c. 180: 22 31 28 11 36 28 24 SP SD: 1.4729 c. M:-2.9622 c. 186: 23 32 29 11 37 29 25 SP SD: 1.6492 c. M:-2.9577 c. 187: 23 32 29 11 38 29 25 SP SD: 1.5097 c. M:-3.1048 c. 189: 23 33 29 11 38 30 25 SP SD: 1.4794 c. M:-2.5470 c. 191: 23 33 30 11 38 30 26 SP SD: 1.7172 c. M: 2.2036 c. 193: 24 33 30 11 39 30 26 SP SD: 1.7167 c. M:-3.0230 c. 194: 24 33 30 12 38 31 26 SP SD: 1.5253 c. M: 2.9485 c. 196: 24 34 30 12 39 31 26 SP SD: 1.1138 c. M:-2.0935 c. 214: 26 37 33 13 43 33 29 SP SD: 0.9529 c. M:-1.9653 c. 230: 28 40 35 14 46 36 31 SP SD: 0.8896 c. M: 1.5865 c. 231: 28 40 36 14 46 36 31 SP SD: 1.0081 c. M:-1.5769 c. 238: 29 41 37 14 48 37 32 SP SD: 0.8815 c. M:-1.7297 c. 240: 29 42 37 14 48 38 32 SP SD: 1.1180 c. M:-1.5353 c. 245: 30 42 38 15 49 38 33 SP SD: 0.8860 c. M:-1.8738 c. 247: 30 43 38 15 49 39 33 SP SD: 0.6668 c. M:-1.1912 c. 261: 32 45 40 16 52 41 35 SP SD: 0.5900 c. M: 1.0468 c. 281: 34 49 43 17 56 44 38 SP SD: 0.8199 c. M: 1.0041 c. 285: 35 49 44 17 57 45 38 SP SD: 0.7508 c. M:-1.2772 c. 296: 36 51 46 18 59 46 40 SP SD: 0.6462 c. M:-0.9802 c. 312: 38 54 48 19 62 49 42 SP SD: 0.2990 c. M: 0.5163 c. 581: 71 100 90 35 116 91 78 SP SD: 0.3063 c. M:-0.5755 c. 601: 73 104 93 36 120 94 81 SP SD: 0.3152 c. M: 0.4807 c. 608: 74 105 94 37 121 95 82 SP SD: 0.2986 c. M: 0.5649 c. 632: 77 109 98 38 126 99 85 SP SD: 0.1874 c. M: 0.3001 c. 879: 107 152 136 53 175 138 118 SP SD: 0.1592 c. M:-0.2713 c. 893: 109 154 138 54 178 140 120 SP SD: 0.1480 c. M:-0.2727 c. 944: 115 163 146 57 188 148 127 SP SD: 0.0715 c. M: 0.1635 c. 1592: 194 275 246 96 317 250 214 SP SD: 0.0796 c. M: 0.1559 c. 1772: 216 306 274 107 353 278 238 SP SD: 0.0948 c. M:-0.1932 c. 1823: 222 315 282 110 363 286 245 SP SD: 0.0707 c. M:-0.1335 c. 2084: 254 360 322 126 415 327 280 SP SD: 0.0633 c. M:-0.1087 c. 2135: 260 369 330 129 425 335 287 SP SD: 0.0481 c. M:-0.0716 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: 45.2463 cents 3 x x 4 x 5 x 6 S SD: 17.7346 cents 4 x 5 x 6 x 7:8 S SD: 29.7422 cents 5 x 6 x 7:8:9:10 S SD: 12.7449 cents 6 x 7:8:9:10:11:12 S SD: 22.7494 cents 7:8:9 x 10:11:13:14 SD: 23.3416 cents 8:9:10:11 x 13:15:16 SD: 14.0569 cents 9:10:11:12:13:15:16:18 SD: 11.6307 cents 10:11:12 x 14:16:18:20 S SD: 11.0735 cents 11:12:14:15:16:18:20:22 S SD: 10.6229 cents 12:13:15:16:17:20:22:24 SD: 9.2059 cents 13:14:16:18:19:21:24:26 SD: 8.9724 cents 14:15:17:19:20:23:26:28 SD: 6.8937 cents 19:21:23:26:27:31:35:38 SD: 5.7845 cents 21:23:26:29:30:34:38:42 SD: 5.0058 cents 22:24:27:30:31:36:40:44 SD: 2.7055 cents 35:38:43:48:50:57:64:70 SD: 1.9951 cents 44:48:54:60:63:72:80:88 S SD: 1.7078 cents 57:62:70:78:81:93:104:114 SD: 0.9564 cents 66:72:81:90:94:108:120:132 SD: 0.9518 cents 80:87:98:109:114:131:146:160 SD: 0.8999 cents 101:110:124:138:144:165:184:202 SD: 0.5462 cents 123:134:151:168:175:201:224:246 SD: 0.4394 cents 137:149:168:187:195:224:250:274 SD: 0.4124 cents 181:197:222:247:258:296:330:362 SD: 0.4047 cents 203:221:249:277:289:332:370:406 SD: 0.2669 cents 238:259:292:325:339:389:434:476 SD: 0.2566 cents 260:283:319:355:370:425:474:520 SD: 0.2070 cents 309:336:379:422:440:505:563:618 SD: 0.1972 cents 331:360:406:452:471:541:603:662 SD: 0.1800 cents 375:408:460:512:534:613:683:750 SD: 0.1457 cents 432:470:530:590:615:706:787:864 SD: 0.1291 cents 512:557:628:699:729:837:933:1024 SD: 0.1023 cents