Scala analysis: CD14_14_Algeria
Nous avons vécu dans le bonheur - L'ensemble d'Al-'Arabî Ben Sârî (raml al-maya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 97.710 cents 97.710319 2: 285.176 cents 285.175584 3: 481.744 cents 481.743866 4: 690.730 cents 690.729982 5: 783.864 cents 783.864177 6: 981.801 cents 981.800554 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 218.1994 cents 218.1994 1: 97.7103 cents 97.7103 2: 187.4653 cents 187.4653 3: 196.5683 cents 196.5683 4: 208.9861 cents 208.9861 5: 93.1342 cents 93.1342 6: 197.9364 cents 197.9364 7: 218.1994 cents 218.1994
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 93.13420 cents 1: 1 97.71032 cents 1: 1 187.46526 cents 1: 1 196.56828 cents 1: 1 197.93638 cents 1: 1 208.98612 cents 1: 1 218.19945 cents 2: 1 285.17558 cents 2: 1 291.07057 cents 2: 1 302.12031 cents 2: 1 315.90977 cents 2: 1 384.03355 cents 2: 1 405.55440 cents 2: 1 416.13582 cents 3: 1 481.74387 cents 3: 1 498.68859 cents 3: 1 500.05669 cents 3: 1 503.37503 cents 3: 1 509.27002 cents 3: 1 513.84614 cents 3: 1 593.01966 cents 4: 1 606.98034 cents 4: 1 686.15386 cents 4: 1 690.72998 cents 4: 1 696.62497 cents 4: 1 699.94331 cents 4: 1 701.31141 cents 4: 1 718.25613 cents 5: 1 783.86418 cents 5: 1 794.44560 cents 5: 1 815.96645 cents 5: 1 884.09023 cents 5: 1 897.87969 cents 5: 1 908.92943 cents 5: 1 914.82442 cents 6: 1 981.80055 cents 6: 1 991.01388 cents 6: 1 1002.06362 cents 6: 1 1003.43172 cents 6: 1 1012.53474 cents 6: 1 1102.28968 cents 6: 1 1106.86581 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 : 97.7 285.2 481.7 690.7 783.9 981.8 1200.0 97.7 : 187.5 384.0 593.0 686.2 884.1 1102.3 1200.0 285.2 : 196.6 405.6 498.7 696.6 914.8 1012.5 1200.0 481.7 : 209.0 302.1 500.1 718.3 816.0 1003.4 1200.0 690.7 : 93.1 291.1 509.3 607.0 794.4 991.0 1200.0 783.9 : 197.9 416.1 513.8 701.3 897.9 1106.9 1200.0 981.8 : 218.2 315.9 503.4 699.9 908.9 1002.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.1342 .. 218.1994 cents 125.06525 cents 93.13420 cents 2: 285.1756 .. 416.1358 cents 130.96024 cents 66.97614 cents 3: 481.7439 .. 593.0197 cents 111.27580 cents 65.60804 cents 4: 606.9803 .. 718.2561 cents 111.27580 cents 13.96067 cents 5: 783.8642 .. 914.8244 cents 130.96024 cents 65.60804 cents 6: 981.8006 .. 1106.8658 cents 125.06525 cents 66.97614 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 93.13420 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.19945 cents Average / Smallest step : 1.840662 Largest / Average step : 1.272830 Largest / Smallest step : 2.342850 Median interval of one step : 196.56828 cents, amount: 1 Least squares average step : 164.90241 cents, oct.: 1154.31686 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BCDFAEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.96067 cents Scale diversity : 1.510132 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.387831 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 : 1.36810 cents Number of recognisable fifths : 6, average 698.8366 cents Number of appreciable fifths : 4, average 697.1524 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 125.0653 cents: 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 49.8612 c. M:-73.7183 c. Lebeng 8: 1 1 1 2 0 2 1 P D3 S SD: 43.5439 c. M:-68.1994 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 32.6486 c. M:-51.5895 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 1 1 2 P D3 S SD: 31.6768 c. M:-56.1358 c. 11: 1 1 2 2 1 2 2 P D3 S SD: 34.6318 c. M: 66.9938 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 13.2870 c. M:-18.2561 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 17: 1 3 3 3 1 3 3 N M DE S SD: 13.2144 c. M: 27.1221 c. 22: 2 3 4 4 1 4 4 P SD: 12.6195 c. M: 20.2278 c. 23: 2 3 4 4 2 4 4 SP SD: 12.1334 c. M: 24.3060 c. 26: 2 4 4 5 2 4 5 P SD: 9.7585 c. M: 20.2054 c. 28: 2 5 4 5 2 5 5 P T3 S SD: 9.7482 c. M:-14.8244 c. 33: 3 5 5 6 3 5 6 SP SD: 8.4860 c. M:-16.1358 c. 35: 3 5 6 6 3 6 6 SP SD: 7.0843 c. M:-12.4852 c. 37: 3 6 6 6 3 6 7 SP SD: 6.1978 c. M: 9.6489 c. 38: 3 6 6 7 3 6 7 P SD: 4.3160 c. M: 8.0597 c. 50: 4 8 8 9 4 8 9 P SD: 4.0133 c. M:-8.1358 c. 64: 5 10 11 11 5 10 12 P SD: 4.3559 c. M: 6.8006 c. 70: 6 11 11 12 6 11 13 SP SD: 4.4343 c. M:-6.2530 c. 71: 6 11 12 12 5 12 13 SP SD: 4.4243 c. M:-8.3970 c. 72: 6 11 12 12 6 12 13 SP SD: 3.1283 c. M: 7.3966 c. 73: 6 11 12 13 6 12 13 SP SD: 3.8929 c. M: 5.7235 c. 75: 6 12 12 13 6 12 14 SP SD: 2.8046 c. M: 5.8006 c. 77: 6 12 13 13 6 13 14 SP SD: 3.5447 c. M: 5.0157 c. 83: 7 13 13 15 6 14 15 SP SD: 3.2010 c. M: 4.6354 c. 84: 7 13 14 14 7 14 15 SP SD: 3.0518 c. M: 5.0157 c. 87: 7 14 14 15 7 14 16 SP SD: 2.2451 c. M:-4.4796 c. 89: 7 14 15 15 7 15 16 SP SD: 2.6063 c. M:-3.6494 c. 97: 8 15 16 17 7 16 18 SP SD: 2.5889 c. M: 4.4827 c. 98: 8 15 16 17 8 16 18 SP SD: 2.9342 c. M: 5.0157 c. 99: 8 16 16 17 8 16 18 SP SD: 2.9084 c. M:-5.7335 c. 101: 8 16 17 17 8 17 18 SP SD: 2.8688 c. M:-5.3848 c. 104: 8 17 17 18 8 17 19 P SD: 2.7347 c. M: 5.4026 c. 109: 9 17 18 19 8 18 20 SP SD: 1.9651 c. M:-2.8480 c. 110: 9 17 18 19 9 18 20 SP SD: 1.6952 c. M: 3.4573 c. 122: 10 19 20 21 10 20 22 SP SD: 1.5915 c. M:-3.0211 c. 127: 10 20 21 22 10 21 23 SP SD: 1.4728 c. M: 3.2221 c. 139: 11 22 23 24 11 23 25 SP SD: 1.6575 c. M: 2.7463 c. 144: 12 22 24 25 11 24 26 SP SD: 1.4477 c. M:-2.2897 c. 170: 14 26 28 30 13 28 31 SP SD: 1.4051 c. M: 2.8226 c. 172: 14 27 28 30 13 29 31 SP SD: 1.2343 c. M: 2.4688 c. 181: 15 28 30 31 14 30 33 SP SD: 1.3228 c. M:-2.2340 c. 182: 15 28 30 32 14 30 33 SP SD: 1.0546 c. M: 1.6591 c. 207: 17 32 34 36 16 34 38 SP SD: 1.1344 c. M: 2.0904 c. 210: 17 33 34 37 16 35 38 SP SD: 0.9466 c. M: 1.7439 c. 219: 18 34 36 38 17 36 40 SP SD: 0.5679 c. M: 0.9786 c. 346: 28 54 57 60 27 57 63 SP SD: 0.4610 c. M: 0.7825 c. 429: 35 67 70 75 33 71 78 SP SD: 0.3582 c. M: 0.6474 c. 441: 36 69 72 77 34 73 80 SP SD: 0.3475 c. M:-0.5387 c. 551: 45 86 90 96 43 91 100 SP SD: 0.2958 c. M: 0.4372 c. 556: 45 87 91 97 43 92 101 SP SD: 0.3483 c. M: 0.5880 c. 568: 46 89 93 99 44 94 103 SP SD: 0.3051 c. M:-0.5938 c. 615: 50 96 101 107 48 101 112 SP SD: 0.2788 c. M:-0.5261 c. 660: 54 103 108 115 51 109 120 SP SD: 0.2360 c. M:-0.4715 c. 698: 57 109 114 122 54 115 127 SP SD: 0.2503 c. M:-0.3875 c. 770: 63 120 126 134 60 127 140 SP SD: 0.2312 c. M:-0.4715 c. 775: 63 121 127 135 60 128 141 SP SD: 0.2140 c. M: 0.3803 c. 787: 64 123 129 137 61 130 143 SP SD: 0.0968 c. M:-0.1562 c. 1044: 85 163 171 182 81 172 190 SP SD: 0.1044 c. M: 0.1914 c. 1056: 86 165 173 184 82 174 192 SP SD: 0.1148 c. M:-0.2267 c. 1402: 114 219 230 244 109 231 255 SP SD: 0.1136 c. M:-0.1586 c. 1447: 118 226 237 252 112 239 263 SP SD: 0.1096 c. M: 0.1738 c. 1485: 121 232 243 259 115 245 270 SP SD: 0.0925 c. M:-0.1791 c. 1793: 146 280 294 312 139 296 326 SP SD: 0.0811 c. M: 0.1497 c. 1831: 149 286 300 319 142 302 333 SP SD: 0.0487 c. M: 0.0855 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: 5.6125 cents 3 x x 4 x x 5:6 S SD: 32.9320 cents 4 x x 5:6 x 7:8 S SD: 24.2400 cents 5 x 6:7 x 8:9:10 S SD: 23.0244 cents 6 x 7:8:9 x 11:12 SD: 14.5485 cents 7 x 8:9:10:11:12:14 S SD: 18.8772 cents 8 x 9:11:12:13:14:16 SD: 20.3782 cents 9:10:11:12:13:14:16:18 S SD: 17.3810 cents 10:11:12:13:15:16:18:20 SD: 13.1795 cents 12:13:14:16:18:19:21:24 SD: 7.4253 cents 16:17:19:21:24:25:28:32 SD: 3.9005 cents 33:35:39:44:49:52:58:66 SD: 2.7896 cents 35:37:41:46:52:55:62:70 SD: 2.4701 cents 47:50:55:62:70:74:83:94 SD: 2.3750 cents 49:52:58:65:73:77:86:98 SD: 1.9840 cents 51:54:60:67:76:80:90:102 SD: 1.6016 cents 68:72:80:90:101:107:120:136 SD: 1.1581 cents 72:76:85:95:107:113:127:144 SD: 1.1245 cents 84:89:99:111:125:132:148:168 SD: 0.5865 cents 106:112:125:140:158:167:187:212 SD: 0.5764 cents 122:129:144:161:182:192:215:244 SD: 0.4995 cents 190:201:224:251:283:299:335:380 SD: 0.2192 cents 206:218:243:272:307:324:363:412 SD: 0.2083 cents 330:349:389:436:492:519:582:660 SD: 0.1892 cents 396:419:467:523:590:623:698:792 SD: 0.1442 cents 414:438:488:547:617:651:730:828 SD: 0.1123 cents 536:567:632:708:799:843:945:1072 SD: 0.0842 cents