Scala analysis: CD02_12_husayni_Egypt
Dis à celui dont tout le monde aime les vertus / Je me sacrifierai pour cette gazelle / Mon amour a Désiré me faire de la peine - Darwîsh Muhammad al-Harîrî (husayni, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 146.312 cents 146.312310 2: 300.716 cents 300.715663 3: 503.070 cents 503.069767 4: 722.368 cents 722.368013 5: 857.962 cents 857.961834 6: 1012.221 cents 1012.220711 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 187.7793 cents 187.7793 1: 146.3123 cents 146.3123 2: 154.4034 cents 154.4034 3: 202.3541 cents 202.3541 4: 219.2982 cents 219.2982 5: 135.5938 cents 135.5938 6: 154.2589 cents 154.2589 7: 187.7793 cents 187.7793
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.59382 cents 1: 1 146.31231 cents 1: 1 154.25888 cents 1: 1 154.40335 cents 1: 1 187.77929 cents 1: 1 202.35410 cents 1: 1 219.29825 cents 2: 1 289.85270 cents 2: 1 300.71566 cents 2: 1 334.09160 cents 2: 1 342.03817 cents 2: 1 354.89207 cents 2: 1 356.75746 cents 2: 1 421.65235 cents 3: 1 477.63199 cents 3: 1 488.35048 cents 3: 1 488.49495 cents 3: 1 503.06977 cents 3: 1 509.15094 cents 3: 1 557.24617 cents 3: 1 576.05570 cents 4: 1 623.94430 cents 4: 1 642.75383 cents 4: 1 690.84906 cents 4: 1 696.93023 cents 4: 1 711.50505 cents 4: 1 711.64952 cents 4: 1 722.36801 cents 5: 1 778.34765 cents 5: 1 843.24254 cents 5: 1 845.10793 cents 5: 1 857.96183 cents 5: 1 865.90840 cents 5: 1 899.28434 cents 5: 1 910.14730 cents 6: 1 980.70175 cents 6: 1 997.64590 cents 6: 1 1012.22071 cents 6: 1 1045.59665 cents 6: 1 1045.74112 cents 6: 1 1053.68769 cents 6: 1 1064.40618 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 : 146.3 300.7 503.1 722.4 858.0 1012.2 1200.0 146.3 : 154.4 356.8 576.1 711.6 865.9 1053.7 1200.0 300.7 : 202.4 421.7 557.2 711.5 899.3 1045.6 1200.0 503.1 : 219.3 354.9 509.2 696.9 843.2 997.6 1200.0 722.4 : 135.6 289.9 477.6 623.9 778.3 980.7 1200.0 858.0 : 154.3 342.0 488.4 642.8 845.1 1064.4 1200.0 1012.2: 187.8 334.1 488.5 690.8 910.1 1045.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.5938 .. 219.2982 cents 83.70443 cents 135.59382 cents 2: 289.8527 .. 421.6524 cents 131.79965 cents 70.55445 cents 3: 477.6320 .. 576.0557 cents 98.42372 cents 55.97964 cents 4: 623.9443 .. 722.3680 cents 98.42372 cents 47.88859 cents 5: 778.3476 .. 910.1473 cents 131.79965 cents 55.97964 cents 6: 980.7018 .. 1064.4062 cents 83.70443 cents 70.55445 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 135.59382 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 219.29825 cents Average / Smallest step : 1.264280 Largest / Average step : 1.279240 Largest / Smallest step : 1.617317 Median interval of one step : 154.40335 cents, amount: 1 Least squares average step : 170.78256 cents, oct.: 1195.47792 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BDFGACE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 47.88859 cents Scale diversity : 1.509801 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.476787 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 : 0.14448 cents Number of recognisable fifths : 4, average 702.7335 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 120.9367 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 24.3312 c. M:-42.1415 c. Lebeng 14: 2 2 2 3 1 2 2 P T3 SD: 27.2750 c. M:-49.0606 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 18.3398 c. M:-27.7793 c. Miller's Porcupine-7 17: 2 2 3 3 2 2 3 SP D3 S SD: 14.1908 c. M: 23.9854 c. 24: 3 3 4 4 3 3 4 SP D3 S SD: 10.2581 c. M: 22.3680 c. Maqam Hussaini, Ushaq, Neutral Diatonic Dorian 26: 3 4 4 5 3 3 4 P SD: 13.1560 c. M:-22.3613 c. 27: 3 4 4 5 3 4 4 SP T3 SD: 11.2573 c. M: 14.1809 c. 28: 3 4 5 5 3 4 4 P SD: 10.3340 c. M: 17.7409 c. 31: 4 4 5 6 3 4 5 SP SD: 7.5466 c. M:-13.1159 c. 32: 4 4 5 6 4 4 5 SP SD: 7.3151 c. M: 15.5698 c. 36: 4 5 6 7 4 4 6 P SD: 8.6499 c. M: 12.9790 c. 38: 5 5 6 7 4 5 6 SP SD: 7.6816 c. M:-15.0738 c. 40: 5 5 7 7 5 5 6 SP S SD: 6.2471 c. M:-12.0382 c. 43: 5 6 7 8 5 5 7 SP SD: 5.4050 c. M: 7.5695 c. 50: 6 7 8 9 6 6 8 SP SD: 5.2567 c. M:-11.2843 c. 52: 6 7 9 9 6 7 8 SP SD: 4.7694 c. M: 7.8508 c. 57: 7 7 10 10 7 7 9 SP S SD: 4.0500 c. M: 6.5785 c. 64: 8 8 11 12 7 8 10 SP SD: 4.2052 c. M:-8.8820 c. 71: 9 9 12 13 8 9 11 SP SD: 3.7908 c. M:-5.8004 c. 76: 9 10 13 14 8 10 12 SP SD: 3.1598 c. M: 5.3303 c. 81: 10 10 14 15 9 10 13 SP SD: 2.9475 c. M: 4.8133 c. 83: 10 11 14 15 9 11 13 SP SD: 2.5338 c. M: 4.9498 c. 88: 11 11 15 16 10 11 14 SP SD: 1.9816 c. M:-3.6877 c. 91: 11 12 15 17 10 12 14 SP SD: 2.1131 c. M:-3.1639 c. 108: 13 14 18 20 12 14 17 SP SD: 1.7099 c. M: 3.0698 c. 115: 14 15 19 21 13 15 18 SP SD: 1.6656 c. M: 2.3680 c. 140: 17 18 24 25 16 18 22 SP SD: 1.4525 c. M:-2.6445 c. 148: 18 19 25 27 17 19 23 SP SD: 0.8662 c. M:-1.4976 c. 179: 22 23 30 33 20 23 28 SP SD: 0.8567 c. M:-1.6543 c. 203: 25 26 34 37 23 26 32 SP SD: 1.0073 c. M:-1.4709 c. 224: 27 29 38 41 25 29 35 SP SD: 0.8465 c. M: 1.6695 c. 231: 28 30 39 42 26 30 36 SP SD: 0.6655 c. M: 0.8578 c. 256: 31 33 43 47 29 33 40 SP SD: 0.7678 c. M: 1.5073 c. 287: 35 37 48 53 32 37 45 SP SD: 0.7208 c. M: 1.3276 c. 312: 38 40 53 57 35 40 49 SP SD: 0.5582 c. M:-0.7764 c. 319: 39 41 54 58 36 41 50 SP SD: 0.4480 c. M:-1.0055 c. 327: 40 42 55 60 37 42 51 SP SD: 0.4852 c. M:-0.7538 c. 344: 42 44 58 63 39 44 54 SP SD: 0.4727 c. M: 0.7442 c. 410: 50 53 69 75 46 53 64 SP SD: 0.4417 c. M:-0.7478 c. 427: 52 55 72 78 48 55 67 SP SD: 0.3738 c. M: 0.8190 c. 460: 56 59 78 84 52 59 72 SP SD: 0.3544 c. M: 0.7157 c. 467: 57 60 79 85 53 60 73 SP SD: 0.2857 c. M:-0.5705 c. 558: 68 72 94 102 63 72 87 SP SD: 0.3119 c. M:-0.6825 c. 575: 70 74 97 105 65 74 90 SP SD: 0.1820 c. M: 0.2811 c. 754: 92 97 127 138 85 97 118 SP SD: 0.1146 c. M:-0.1784 c. 1221: 149 157 206 223 138 157 191 SP SD: 0.0720 c. M:-0.1250 c. 1796: 219 231 303 328 203 231 281 SP SD: 0.0506 c. M: 0.0963 c. 1975: 241 254 333 361 223 254 309 SP SD: 0.0568 c. M:-0.1181 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: 10.2065 cents 3 x x 4 x 5 x 6 S SD: 8.9570 cents 4 x 5 x 6 x 7:8 S SD: 24.5291 cents 5 x 6:7 x 8:9:10 S SD: 18.4641 cents 6 x 7:8:9:10:11:12 S SD: 10.0881 cents 7 x 8:9:11:12:13:14 SD: 24.8669 cents 8:9:10:11:12:13:14:16 S SD: 17.8292 cents 9:10:11:12:14:15:16:18 S SD: 11.3167 cents 10:11:12:13:15:16:18:20 SD: 10.4637 cents 11:12:13:15:17:18:20:22 SD: 7.5921 cents 15:16:18:20:23:25:27:30 SD: 7.1152 cents 20:22:24:27:30:33:36:40 S SD: 5.2883 cents 21:23:25:28:32:34:38:42 SD: 4.4605 cents 25:27:30:33:38:41:45:50 SD: 4.3662 cents 31:34:37:41:47:51:56:62 SD: 3.8647 cents 33:36:39:44:50:54:59:66 SD: 2.2778 cents 44:48:52:59:67:72:79:88 SD: 2.1918 cents 47:51:56:63:71:77:84:94 SD: 1.8864 cents 48:52:57:64:73:79:86:96 SD: 1.6650 cents 58:63:69:78:88:95:104:116 SD: 1.5810 cents 68:74:81:91:103:112:122:136 SD: 1.0478 cents 89:97:106:119:135:146:160:178 SD: 0.6933 cents 112:122:133:150:170:184:201:224 SD: 0.6820 cents 136:148:162:182:206:223:244:272 SD: 0.6740 cents 137:149:163:183:208:225:246:274 SD: 0.3752 cents 195:212:232:261:296:320:350:390 SD: 0.3388 cents 228:248:271:305:346:374:409:456 SD: 0.3281 cents 237:258:282:317:360:389:425:474 SD: 0.2805 cents 284:309:338:380:431:466:510:568 SD: 0.2769 cents 296:322:352:396:449:486:531:592 SD: 0.2486 cents 317:345:377:424:481:520:569:634 SD: 0.2215 cents 365:397:434:488:554:599:655:730 SD: 0.1928 cents 374:407:445:500:568:614:671:748 SD: 0.1741 cents 433:471:515:579:657:711:777:866 SD: 0.1662 cents 454:494:540:607:689:745:815:908 SD: 0.1455 cents 510:555:607:682:774:837:915:1020 SD: 0.1217 cents