Scala analysis: CD17_09_Tunisia
Ô lui qui m'a rejeté : taille élancée, il n'y a pas plus beau - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 183.208 cents 183.207532 2: 278.343 cents 278.342514 3: 479.046 cents 479.046154 4: 661.968 cents 661.968274 5: 785.285 cents 785.284991 6: 979.519 cents 979.518937 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.4811 cents 220.4811 1: 183.2075 cents 183.2075 2: 95.1350 cents 95.1350 3: 200.7036 cents 200.7036 4: 182.9221 cents 182.9221 5: 123.3167 cents 123.3167 6: 194.2339 cents 194.2339 7: 220.4811 cents 220.4811
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.13498 cents 1: 1 123.31672 cents 1: 1 182.92212 cents 1: 1 183.20753 cents 1: 1 194.23395 cents 1: 1 200.70364 cents 1: 1 220.48106 cents 2: 1 278.34251 cents 2: 1 295.83862 cents 2: 1 306.23884 cents 2: 1 317.55066 cents 2: 1 383.62576 cents 2: 1 403.68860 cents 2: 1 414.71501 cents 3: 1 478.76074 cents 3: 1 479.04615 cents 3: 1 498.82358 cents 3: 1 500.47278 cents 3: 1 506.94248 cents 3: 1 538.03173 cents 3: 1 597.92254 cents 4: 1 602.07746 cents 4: 1 661.96827 cents 4: 1 693.05752 cents 4: 1 699.52722 cents 4: 1 701.17642 cents 4: 1 720.95385 cents 4: 1 721.23926 cents 5: 1 785.28499 cents 5: 1 796.31141 cents 5: 1 816.37424 cents 5: 1 882.44934 cents 5: 1 893.76116 cents 5: 1 904.16138 cents 5: 1 921.65749 cents 6: 1 979.51894 cents 6: 1 999.29636 cents 6: 1 1005.76605 cents 6: 1 1016.79247 cents 6: 1 1017.07788 cents 6: 1 1076.68328 cents 6: 1 1104.86502 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 : 183.2 278.3 479.0 662.0 785.3 979.5 1200.0 183.2 : 95.1 295.8 478.8 602.1 796.3 1016.8 1200.0 278.3 : 200.7 383.6 506.9 701.2 921.7 1104.9 1200.0 479.0 : 182.9 306.2 500.5 721.0 904.2 999.3 1200.0 662.0 : 123.3 317.6 538.0 721.2 816.4 1017.1 1200.0 785.3 : 194.2 414.7 597.9 693.1 893.8 1076.7 1200.0 979.5 : 220.5 403.7 498.8 699.5 882.4 1005.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.1350 .. 220.4811 cents 125.34608 cents 95.13498 cents 2: 278.3425 .. 414.7150 cents 136.37249 cents 57.86145 cents 3: 478.7607 .. 597.9225 cents 119.16180 cents 64.04573 cents 4: 602.0775 .. 721.2393 cents 119.16180 cents 4.15492 cents 5: 785.2850 .. 921.6575 cents 136.37250 cents 64.04573 cents 6: 979.5189 .. 1104.8650 cents 125.34608 cents 57.86145 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 95.13498 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 220.48106 cents Average / Smallest step : 1.801951 Largest / Average step : 1.286140 Largest / Smallest step : 2.317560 Median interval of one step : 183.20753 cents, amount: 1 Least squares average step : 164.48888 cents, oct.: 1151.42213 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAFCBEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.15492 cents Scale diversity : 1.602731 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.365199 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 : 0.28541 cents Number of recognisable fifths : 3, average 697.9204 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: 44.2013 c. M:-71.8579 c. Lebeng 9: 1 1 1 2 1 1 2 P M ME S SD: 40.0781 c. M: 79.0462 c. 10: 1 1 2 1 1 2 2 P D3 S SD: 44.6405 c. M: 65.2850 c. 11: 2 1 1 2 1 2 2 N D3 SD: 29.1993 c. M:-48.9302 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 21.6218 c. M:-38.0317 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 15: 2 1 3 2 2 2 3 P D3 SD: 21.0094 c. M: 38.3425 c. 16: 2 2 2 3 1 3 3 P T3 SD: 23.4543 c. M: 35.2850 c. 17: 3 1 3 2 2 3 3 N SD: 16.5785 c. M:-28.5572 c. 18: 3 1 3 3 2 3 3 P T3 SD: 13.2538 c. M:-20.4811 c. 20: 3 2 3 3 2 3 4 P T3 S SD: 11.2950 c. M:-21.6575 c. 25: 4 2 4 4 2 4 5 N T3 S SD: 11.6612 c. M: 19.5189 c. 26: 4 2 4 4 3 4 5 P SD: 9.7608 c. M: 17.5077 c. 27: 4 2 5 4 3 4 5 SP SD: 8.4880 c. M:-14.7150 c. 31: 5 2 5 5 3 5 6 N SD: 9.6318 c. M: 14.5300 c. 32: 5 2 6 5 3 5 6 P SD: 8.7508 c. M: 15.8425 c. 33: 5 3 5 5 4 5 6 SP SD: 8.2522 c. M:-14.7150 c. 38: 6 3 6 6 4 6 7 P SD: 4.1702 c. M:-6.2662 c. 60: 9 5 10 9 6 10 11 P SD: 2.5630 c. M: 5.2850 c. 72: 11 6 12 11 7 12 13 P SD: 3.4587 c. M:-4.9908 c. 78: 12 6 13 12 8 13 14 P SD: 2.2396 c. M:-5.0964 c. 83: 13 6 14 13 8 14 15 N SD: 3.4428 c. M:-4.7443 c. 85: 13 7 14 13 9 13 16 SP SD: 3.3130 c. M: 5.4013 c. 87: 13 7 15 13 9 14 16 SP SD: 2.2686 c. M: 3.8972 c. 98: 15 8 16 15 10 16 18 P SD: 1.5322 c. M:-3.2901 c. 116: 18 9 19 18 12 19 21 P SD: 2.1189 c. M:-3.2397 c. 118: 18 9 20 18 12 19 22 P SD: 2.1321 c. M: 3.7662 c. 125: 19 10 21 19 13 20 23 SP SD: 0.8881 c. M:-1.9150 c. 185: 28 15 31 28 19 30 34 SP SD: 0.7613 c. M: 1.5859 c. 203: 31 16 34 31 21 33 37 SP SD: 0.7818 c. M:-1.7619 c. 208: 32 16 35 32 21 34 38 P SD: 1.0875 c. M:-1.4933 c. 223: 34 18 37 34 23 36 41 SP SD: 0.5884 c. M:-1.4781 c. 228: 35 18 38 35 23 37 42 P SD: 0.7818 c. M:-1.1896 c. 263: 40 21 44 40 27 43 48 SP SD: 0.6580 c. M:-1.4697 c. 290: 44 23 49 44 30 47 53 SP SD: 0.8984 c. M:-1.1707 c. 293: 45 23 49 45 30 47 54 SP SD: 0.8550 c. M:-1.5130 c. 301: 46 24 50 46 31 49 55 SP SD: 0.5953 c. M:-1.2120 c. 306: 47 24 51 47 31 50 56 P SD: 0.7482 c. M:-1.1062 c. 310: 47 25 52 47 32 50 57 SP SD: 0.6506 c. M: 1.2720 c. 315: 48 25 53 48 32 51 58 SP SD: 0.5830 c. M:-0.9538 c. 341: 52 27 57 52 35 55 63 SP SD: 0.5716 c. M: 1.2198 c. 348: 53 28 58 53 36 56 64 SP SD: 0.5492 c. M:-0.9678 c. 353: 54 28 59 54 36 57 65 SP SD: 0.4561 c. M:-0.9212 c. 388: 59 31 65 59 40 63 71 SP SD: 0.4691 c. M:-0.8934 c. 393: 60 31 66 60 40 64 72 SP SD: 0.4548 c. M:-0.6337 c. 419: 64 33 70 64 43 68 77 SP SD: 0.4393 c. M: 0.7645 c. 426: 65 34 71 65 44 69 78 SP SD: 0.4314 c. M:-0.7628 c. 431: 66 34 72 66 44 70 79 SP SD: 0.3946 c. M:-0.6767 c. 491: 75 39 82 75 50 80 90 SP SD: 0.3898 c. M: 0.7636 c. 518: 79 41 87 79 53 84 95 SP SD: 0.3592 c. M:-0.5800 c. 538: 82 43 90 82 55 87 99 SP SD: 0.3673 c. M:-0.5077 c. 544: 83 43 91 83 56 88 100 SP SD: 0.2283 c. M: 0.4013 c. 616: 94 49 103 94 63 100 113 SP SD: 0.2388 c. M:-0.3694 c. 669: 102 53 112 102 69 108 123 SP SD: 0.2198 c. M:-0.3652 c. 767: 117 61 128 117 79 124 141 SP SD: 0.1646 c. M: 0.2978 c. 897: 137 71 150 137 92 145 165 SP SD: 0.1450 c. M: 0.2547 c. 957: 146 76 160 146 98 155 176 SP SD: 0.1627 c. M: 0.3320 c. 995: 152 79 166 152 102 161 183 SP SD: 0.1826 c. M: 0.2522 c. 1022: 156 81 171 156 105 165 188 SP SD: 0.1683 c. M:-0.2626 c. 1082: 165 86 181 165 111 175 199 SP SD: 0.1333 c. M: 0.2213 c. 1100: 168 87 184 168 113 178 202 SP SD: 0.1399 c. M:-0.2135 c. 1160: 177 92 194 177 119 188 213 SP SD: 0.0950 c. M:-0.1362 c. 1927: 294 153 322 294 198 312 354 SP SD: 0.0807 c. M: 0.1671 c. 2199: 336 174 368 335 226 356 404 SP SD: 0.0669 c. M:-0.1485 c. 2324: 355 184 389 354 239 376 427 SP SD: 0.0696 c. M:-0.1277 c. 2384: 364 189 399 363 245 386 438 SP SD: 0.0634 c. M:-0.1485 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: 19.9934 cents 3 x x 4 x x 5:6 S SD: 32.3461 cents 4 x x 5:6 x 7:8 S SD: 25.3877 cents 5 x 6 x 7:8:9:10 S SD: 19.9609 cents 6 x 7:8:9 x 11:12 SD: 16.6969 cents 7 x 8:9:10:11:12:14 S SD: 15.1803 cents 8:9 x 11:12:13:14:16 SD: 17.0105 cents 9:10:11:12:13:14:16:18 S SD: 11.4854 cents 10:11:12:13:15:16:18:20 SD: 11.2437 cents 12:13:14:16:18:19:21:24 SD: 9.3717 cents 14 x 16:18:21:22:25:28 SD: 13.2852 cents 15:17:18:20:22:24:26:30 SD: 9.5018 cents 16:18:19:21:23:25:28:32 SD: 6.8127 cents 17:19:20:22:25:27:30:34 SD: 5.4507 cents 19:21:22:25:28:30:33:38 SD: 5.3416 cents 24:27:28:32:35:38:42:48 SD: 4.9861 cents 25:28:29:33:37:39:44:50 SD: 4.8408 cents 26:29:31:34:38:41:46:52 SD: 4.5971 cents 28:31:33:37:41:44:49:56 SD: 2.1354 cents 45:50:53:59:66:71:79:90 SD: 1.8780 cents 47:52:55:62:69:74:83:94 SD: 1.6844 cents 62:69:73:82:91:98:109:124 SD: 1.5317 cents 63:70:74:83:92:99:111:126 SD: 1.0494 cents 91:101:107:120:133:143:160:182 SD: 1.0181 cents 97:108:114:128:142:153:171:194 SD: 0.8153 cents 116:129:136:153:170:183:204:232 SD: 0.7824 cents 125:139:147:165:183:197:220:250 SD: 0.6105 cents 150:167:176:198:220:236:264:300 SD: 0.5445 cents 172:191:202:227:252:271:303:344 SD: 0.4349 cents 206:229:242:272:302:324:363:412 SD: 0.4043 cents 213:237:250:281:312:335:375:426 SD: 0.3847 cents 223:248:262:294:327:351:393:446 SD: 0.2847 cents 251:279:295:331:368:395:442:502 SD: 0.2013 cents 367:408:431:484:538:578:646:734 SD: 0.1795 cents 430:478:505:567:630:677:757:860 SD: 0.1430 cents 511:568:600:674:749:804:900:1022 SD: 0.1275 cents 556:618:653:733:815:875:979:1112 SD: 0.0942 cents