Scala analysis: CD14_05_Algeria
Le mal d'amour a commencé mon coeur - L'ensemble d'Al-'Arabî Ben Sârî (raml al-ashiyya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 239.210 cents 239.210052 2: 314.252 cents 314.251738 3: 520.548 cents 520.548007 4: 702.821 cents 702.821251 5: 800.083 cents 800.082908 6: 1009.623 cents 1009.622800 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.3772 cents 190.3772 1: 239.2101 cents 239.2101 2: 75.0417 cents 75.0417 3: 206.2963 cents 206.2963 4: 182.2732 cents 182.2732 5: 97.2617 cents 97.2617 6: 209.5399 cents 209.5399 7: 190.3772 cents 190.3772
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 75.04169 cents 1: 1 97.26166 cents 1: 1 182.27324 cents 1: 1 190.37720 cents 1: 1 206.29627 cents 1: 1 209.53989 cents 1: 1 239.21005 cents 2: 1 279.53490 cents 2: 1 281.33795 cents 2: 1 306.80155 cents 2: 1 314.25174 cents 2: 1 388.56951 cents 2: 1 399.91709 cents 2: 1 429.58725 cents 3: 1 463.61120 cents 3: 1 485.83117 cents 3: 1 489.07479 cents 3: 1 497.17875 cents 3: 1 504.62894 cents 3: 1 520.54801 cents 3: 1 639.12714 cents 4: 1 560.87286 cents 4: 1 679.45199 cents 4: 1 695.37106 cents 4: 1 702.82125 cents 4: 1 710.92521 cents 4: 1 714.16883 cents 4: 1 736.38880 cents 5: 1 770.41275 cents 5: 1 800.08291 cents 5: 1 811.43049 cents 5: 1 885.74826 cents 5: 1 893.19845 cents 5: 1 918.66205 cents 5: 1 920.46510 cents 6: 1 960.78995 cents 6: 1 990.46011 cents 6: 1 993.70373 cents 6: 1 1009.62280 cents 6: 1 1017.72676 cents 6: 1 1102.73834 cents 6: 1 1124.95831 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 : 239.2 314.3 520.5 702.8 800.1 1009.6 1200.0 239.2 : 75.0 281.3 463.6 560.9 770.4 960.8 1200.0 314.3 : 206.3 388.6 485.8 695.4 885.7 1125.0 1200.0 520.5 : 182.3 279.5 489.1 679.5 918.7 993.7 1200.0 702.8 : 97.3 306.8 497.2 736.4 811.4 1017.7 1200.0 800.1 : 209.5 399.9 639.1 714.2 920.5 1102.7 1200.0 1009.6: 190.4 429.6 504.6 710.9 893.2 990.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 75.0417 .. 239.2101 cents 164.16837 cents 75.04169 cents 2: 279.5349 .. 429.5873 cents 150.05235 cents 40.32485 cents 3: 463.6112 .. 639.1271 cents 175.51594 cents 34.02395 cents 4: 560.8729 .. 736.3888 cents 175.51594 cents -78.25429 cents 5: 770.4127 .. 920.4651 cents 150.05235 cents 34.02395 cents 6: 960.7899 .. 1124.9583 cents 164.16837 cents 40.32485 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 75.04169 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 239.21005 cents Average / Smallest step : 2.284445 Largest / Average step : 1.395392 Largest / Smallest step : 3.187696 Median interval of one step : 190.37720 cents, amount: 1 Least squares average step : 169.27710 cents, oct.: 1184.93969 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GAECBFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 34.02395 cents Scale diversity : 1.630603 Lumma stability : 0.248984 Lumma impropriety factor : 0.065212 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 : 1.80305 cents Number of recognisable fifths : 4, average 705.8216 cents Best minor thirds 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: 36.5657 c. M: 67.7815 c. Lebeng 9: 2 0 2 1 1 2 1 N D3 SD: 33.2584 c. M:-57.0439 c. 10: 2 1 1 2 1 1 2 P D3 I SD: 33.9928 c. M: 49.6228 c. 11: 2 1 2 1 1 2 2 N D3 SD: 28.4456 c. M: 48.2758 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 17.9814 c. M: 39.2101 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 14: 3 1 2 2 1 3 2 N T3 S SD: 19.4637 c. M: 28.6543 c. 17: 3 1 3 3 1 3 3 N M DE S SD: 22.3405 c. M: 31.8988 c. Seventeen-tone Natural Minor 18: 4 1 3 3 1 3 3 N SD: 18.1463 c. M:-30.5121 c. 19: 4 1 3 3 2 3 3 N SD: 11.4769 c. M:-20.9697 c. 20: 4 1 4 3 1 4 3 N T3 SD: 14.0826 c. M: 20.0829 c. 24: 5 1 4 4 2 4 4 N SD: 10.9696 c. M: 20.5480 c. 25: 5 2 4 4 2 4 4 N SD: 12.4226 c. M:-21.7483 c. 26: 5 2 4 4 2 5 4 N S SD: 9.9813 c. M: 15.4675 c. 27: 5 2 5 4 2 5 4 N T3 SD: 9.9239 c. M: 16.9878 c. 30: 6 2 5 5 2 5 5 N SD: 7.7615 c. M:-17.1787 c. 32: 6 2 6 5 2 6 5 N T3 SD: 9.8933 c. M: 14.2517 c. 34: 7 2 6 5 3 6 5 N SD: 8.3745 c. M:-13.9066 c. 37: 7 3 6 6 3 6 6 N SD: 8.4493 c. M: 12.1830 c. 39: 8 2 7 6 3 7 6 N SD: 4.6991 c. M:-6.9438 c. 51: 10 3 9 8 4 9 8 N SD: 3.9236 c. M: 8.3694 c. 65: 13 4 11 10 5 12 10 N SD: 3.5390 c. M: 6.2368 c. 69: 14 4 12 10 6 12 11 N SD: 3.2372 c. M: 7.1691 c. 75: 15 5 13 11 6 13 12 N SD: 3.6494 c. M:-7.4520 c. 80: 16 5 14 12 6 14 13 N SD: 3.2284 c. M: 5.0829 c. 81: 16 5 14 12 7 14 13 N SD: 3.0751 c. M: 6.5250 c. 87: 17 6 15 13 7 15 14 N SD: 2.7257 c. M: 4.7273 c. 95: 19 6 16 15 7 17 15 N SD: 2.6714 c. M:-4.5472 c. 96: 19 6 17 14 8 17 15 N SD: 2.4512 c. M:-4.4520 c. 99: 20 6 17 15 8 17 16 N SD: 1.8640 c. M: 3.5622 c. 111: 22 7 19 17 9 19 18 N SD: 1.8083 c. M: 4.2174 c. 125: 25 8 21 19 10 22 20 N SD: 2.0434 c. M: 3.2829 c. 126: 25 8 22 19 10 22 20 N SD: 1.4959 c. M:-3.2615 c. 131: 26 8 23 20 10 23 21 N SD: 2.1252 c. M: 3.1363 c. 138: 28 8 24 21 11 24 22 N SD: 1.8629 c. M:-4.2682 c. 140: 28 9 24 21 11 25 22 N SD: 1.9354 c. M: 2.9401 c. 141: 28 9 24 22 11 25 22 N SD: 1.9188 c. M:-3.5617 c. 145: 29 9 25 22 12 25 23 N SD: 1.1290 c. M:-2.6757 c. 150: 30 9 26 23 12 26 24 N SD: 1.1967 c. M: 2.2517 c. 171: 34 11 29 26 14 30 27 N SD: 0.9460 c. M:-1.5377 c. 207: 41 13 36 31 17 36 33 N SD: 1.0667 c. M: 1.5289 c. 210: 42 13 36 32 17 37 33 N SD: 0.7741 c. M:-1.8058 c. 270: 54 17 46 41 22 47 43 N SD: 0.7100 c. M:-1.3038 c. 282: 56 18 48 43 23 49 45 N SD: 0.8389 c. M: 1.3991 c. 285: 57 18 49 43 23 50 45 N SD: 0.9525 c. M:-1.5573 c. 290: 58 18 50 44 23 51 46 N SD: 0.7465 c. M: 1.4622 c. 295: 59 18 51 45 24 51 47 N SD: 0.8284 c. M:-1.2730 c. 297: 59 19 51 45 24 52 47 N SD: 0.5622 c. M:-0.8998 c. 321: 64 20 55 49 26 56 51 N SD: 0.3760 c. M: 0.9218 c. 417: 83 26 72 63 34 73 66 N SD: 0.4170 c. M: 0.6630 c. 447: 89 28 77 68 36 78 71 N SD: 0.2714 c. M:-0.5345 c. 516: 103 32 89 78 42 90 82 N SD: 0.3153 c. M: 0.4957 c. 606: 121 38 104 92 49 106 96 N SD: 0.3119 c. M:-0.5997 c. 618: 123 39 106 94 50 108 98 N SD: 0.2020 c. M: 0.3751 c. 657: 131 41 113 100 53 115 104 N SD: 0.2201 c. M:-0.4229 c. 738: 147 46 127 112 60 129 117 N SD: 0.2508 c. M: 0.4306 c. 756: 151 47 130 115 61 132 120 N SD: 0.2310 c. M:-0.4725 c. 763: 152 48 131 116 62 133 121 N SD: 0.2236 c. M:-0.4413 c. 768: 153 48 132 117 62 134 122 N SD: 0.1977 c. M:-0.3037 c. 927: 185 58 159 141 75 162 147 N SD: 0.1769 c. M:-0.3114 c. 978: 195 61 168 149 79 171 155 N SD: 0.1770 c. M: 0.3026 c. 1053: 210 66 181 160 85 184 167 N SD: 0.1926 c. M:-0.3127 c. 1065: 212 67 183 162 86 186 169 N SD: 0.1743 c. M: 0.3368 c. 1084: 216 68 186 165 88 189 172 N SD: 0.1657 c. M:-0.2861 c. 1134: 226 71 195 172 92 198 180 N SD: 0.0922 c. M: 0.1757 c. 1455: 290 91 250 221 118 254 231 N SD: 0.0971 c. M: 0.1408 c. 1581: 315 99 272 240 128 276 251 N SD: 0.0918 c. M: 0.1351 c. 1600: 319 100 275 243 130 279 254 N SD: 0.0862 c. M:-0.1671 c. 1791: 357 112 308 272 145 313 284 N SD: 0.0528 c. M:-0.0924 c. 2257: 450 141 388 343 183 394 358 N SD: 0.0503 c. M:-0.0943 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: 0.4331 cents 3 x x 4 x 5 x 6 S SD: 29.0761 cents 4 x 5 x 6 x 7:8 S SD: 20.7034 cents 5 x 6:7 x 8:9:10 S SD: 12.7908 cents 6:7 x 8:9:10:11:12 S SD: 16.6282 cents 7:8 x 9 x 11:13:14 SD: 21.4773 cents 8:9:10:11:12:13:14:16 S SD: 14.7681 cents 9:10:11:12 x 14:16:18 S SD: 13.1788 cents 11 x 13:15 x 17:20:22 SD: 12.1608 cents 12:14 x 16:18:19:22:24 SD: 8.9319 cents 14:16:17:19:21:22:25:28 SD: 4.4113 cents 17 x 20:23:26:27:30:34 SD: 8.9056 cents 18:21:22:24:27:29:32:36 SD: 8.0929 cents 19:22:23:26:29:30:34:38 SD: 6.2877 cents 20:23:24:27:30:32:36:40 SD: 2.3029 cents 34:39:41:46:51:54:61:68 SD: 1.5279 cents 54:62:65:73:81:86:97:108 SD: 1.4165 cents 60:69:72:81:90:95:108:120 SD: 1.3945 cents 66:76:79:89:99:105:118:132 SD: 1.2077 cents 80:92:96:108:120:127:143:160 SD: 0.7556 cents 100:115:120:135:150:159:179:200 SD: 0.6638 cents 134:154:161:181:201:213:240:268 SD: 0.6623 cents 136:156:163:184:204:216:244:272 SD: 0.6027 cents 140:161:168:189:210:222:251:280 SD: 0.5737 cents 160:184:192:216:240:254:287:320 SD: 0.5542 cents 162:186:194:219:243:257:290:324 SD: 0.4764 cents 182:209:218:246:273:289:326:364 SD: 0.3419 cents 196:225:235:265:294:311:351:392 SD: 0.3167 cents 216:248:259:292:324:343:387:432 SD: 0.2447 cents 317:364:380:428:476:503:568:634 SD: 0.2203 cents 337:387:404:455:506:535:604:674 SD: 0.1942 cents 351:403:421:474:527:557:629:702 SD: 0.1814 cents 371:426:445:501:557:589:665:742 SD: 0.1805 cents 451:518:541:609:677:716:808:902 SD: 0.1708 cents 453:520:543:612:680:719:812:906 SD: 0.1643 cents 499:573:598:674:749:792:894:998 SD: 0.1506 cents 513:589:615:693:770:814:919:1026 SD: 0.1355 cents 533:612:639:720:800:846:955:1066 SD: 0.0605 cents