Scala analysis: CD17_20_Tunisia
Regarde mon état et ce qui m'est arrivé / À chaque instant de mon aimé - 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: 193.885 cents 193.884906 2: 272.081 cents 272.081295 3: 486.313 cents 486.313182 4: 633.408 cents 633.407670 5: 800.781 cents 800.780852 6: 973.758 cents 973.758462 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 226.2415 cents 226.2415 1: 193.8849 cents 193.8849 2: 78.1964 cents 78.1964 3: 214.2319 cents 214.2319 4: 147.0945 cents 147.0945 5: 167.3732 cents 167.3732 6: 172.9776 cents 172.9776 7: 226.2415 cents 226.2415
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 78.19639 cents 1: 1 147.09449 cents 1: 1 167.37318 cents 1: 1 172.97761 cents 1: 1 193.88491 cents 1: 1 214.23189 cents 1: 1 226.24154 cents 2: 1 272.08129 cents 2: 1 292.42828 cents 2: 1 314.46767 cents 2: 1 340.35079 cents 2: 1 361.32637 cents 2: 1 399.21915 cents 2: 1 420.12644 cents 3: 1 439.52276 cents 3: 1 486.31318 cents 3: 1 487.44528 cents 3: 1 498.32283 cents 3: 1 528.69956 cents 3: 1 566.59233 cents 3: 1 593.10405 cents 4: 1 606.89595 cents 4: 1 633.40767 cents 4: 1 671.30044 cents 4: 1 701.67717 cents 4: 1 712.55472 cents 4: 1 713.68682 cents 4: 1 760.47724 cents 5: 1 779.87356 cents 5: 1 800.78085 cents 5: 1 838.67362 cents 5: 1 859.64921 cents 5: 1 885.53233 cents 5: 1 907.57172 cents 5: 1 927.91871 cents 6: 1 973.75846 cents 6: 1 985.76811 cents 6: 1 1006.11509 cents 6: 1 1027.02239 cents 6: 1 1032.62682 cents 6: 1 1052.90551 cents 6: 1 1121.80361 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 : 193.9 272.1 486.3 633.4 800.8 973.8 1200.0 193.9 : 78.2 292.4 439.5 606.9 779.9 1006.1 1200.0 272.1 : 214.2 361.3 528.7 701.7 927.9 1121.8 1200.0 486.3 : 147.1 314.5 487.4 713.7 907.6 985.8 1200.0 633.4 : 167.4 340.4 566.6 760.5 838.7 1052.9 1200.0 800.8 : 173.0 399.2 593.1 671.3 885.5 1032.6 1200.0 973.8 : 226.2 420.1 498.3 712.6 859.6 1027.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 78.1964 .. 226.2415 cents 148.04515 cents 78.19639 cents 2: 272.0813 .. 420.1264 cents 148.04515 cents 45.83976 cents 3: 439.5228 .. 593.1041 cents 153.58129 cents 19.39632 cents 4: 606.8959 .. 760.4772 cents 153.58129 cents 13.79189 cents 5: 779.8736 .. 927.9187 cents 148.04515 cents 19.39632 cents 6: 973.7585 .. 1121.8036 cents 148.04515 cents 45.83976 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 78.19639 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.24154 cents Average / Smallest step : 2.192282 Largest / Average step : 1.319742 Largest / Smallest step : 2.893248 Median interval of one step : 172.97761 cents, amount: 1 Least squares average step : 164.12195 cents, oct.: 1148.85364 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : EAFBCDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.79189 cents Scale diversity : 1.745195 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.250547 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 : 1.13210 cents Number of recognisable fifths : 3, average 709.3062 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 46.6186 c. M:-70.7758 c. Lebeng 8: 1 1 1 1 1 1 2 P M ME S SD: 43.3574 c. M: 73.7585 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 35.1480 c. M: 60.5516 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 2 0 2 1 2 1 2 N T3 SD: 29.3724 c. M:-46.1151 c. 12: 2 1 2 1 2 2 2 P D3 S SD: 20.0338 c. M: 33.4077 c. Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5 15: 2 1 3 2 2 2 3 P D3 SD: 18.7106 c. M: 33.8849 c. 17: 3 1 3 2 2 3 3 N SD: 13.5764 c. M: 24.3103 c. 22: 4 1 4 3 3 3 4 P SD: 14.2750 c. M:-24.2969 c. 25: 4 2 4 3 4 3 5 P SD: 10.7320 c. M:-15.9187 c. 27: 4 2 5 3 4 4 5 SP SD: 7.9036 c. M: 16.1071 c. 30: 5 2 5 4 4 4 6 P SD: 7.3028 c. M: 13.7585 c. 32: 5 2 6 4 4 5 6 P SD: 6.8520 c. M: 13.2809 c. 36: 6 2 7 4 5 5 7 P SD: 6.6003 c. M:-13.6868 c. 39: 6 3 7 5 5 6 7 SP SD: 7.8034 c. M:-12.7462 c. 42: 7 3 7 5 6 6 8 P SD: 6.0124 c. M:-13.6330 c. 44: 7 3 8 5 6 7 8 P SD: 5.7376 c. M: 9.8718 c. 49: 8 3 9 6 7 7 9 SP SD: 4.1938 c. M:-7.3824 c. 57: 9 4 10 7 8 8 11 SP SD: 2.9005 c. M: 5.3374 c. 74: 12 5 13 9 10 11 14 P SD: 2.7592 c. M: 6.1863 c. 76: 12 5 14 9 11 11 14 SP SD: 3.6490 c. M:-5.1889 c. 79: 13 5 14 10 11 11 15 SP SD: 2.8401 c. M:-4.5670 c. 89: 14 6 16 11 12 13 17 SP SD: 3.1548 c. M: 5.2752 c. 91: 15 6 16 11 13 13 17 SP SD: 2.9001 c. M:-4.8418 c. 93: 15 6 17 11 13 13 18 SP SD: 2.8173 c. M: 6.0165 c. 97: 16 6 17 12 14 14 18 SP SD: 2.9563 c. M:-4.0532 c. 99: 16 6 18 12 14 14 19 SP SD: 2.8837 c. M: 5.4146 c. 101: 16 7 18 12 14 15 19 SP SD: 2.7479 c. M: 4.7412 c. 106: 17 7 19 13 15 15 20 SP SD: 1.2940 c. M:-2.9927 c. 118: 19 8 21 14 17 17 22 SP SD: 2.1218 c. M: 2.8992 c. 123: 20 8 22 15 17 18 23 SP SD: 1.1665 c. M:-1.8513 c. 180: 29 12 32 22 25 26 34 SP SD: 0.6316 c. M:-1.2520 c. 229: 37 15 41 28 32 33 43 SP SD: 0.6978 c. M:-1.0231 c. 286: 46 19 51 35 40 41 54 SP SD: 0.5162 c. M: 0.8779 c. 402: 65 26 72 49 56 58 76 SP SD: 0.4788 c. M: 0.7809 c. 409: 66 27 73 50 57 59 77 SP SD: 0.4554 c. M:-0.7793 c. 415: 67 27 74 51 58 60 78 SP SD: 0.3635 c. M:-0.6994 c. 451: 73 29 81 55 63 65 85 SP SD: 0.3772 c. M: 0.6844 c. 472: 76 31 84 58 66 68 89 SP SD: 0.3955 c. M: 0.7200 c. 508: 82 33 91 62 71 73 96 SP SD: 0.3167 c. M: 0.5301 c. 568: 92 37 101 70 79 82 107 SP SD: 0.3364 c. M:-0.4813 c. 595: 96 39 106 73 83 86 112 SP SD: 0.2190 c. M:-0.3592 c. 817: 132 53 146 100 114 118 154 SP SD: 0.2280 c. M: 0.3599 c. 896: 145 58 160 110 125 129 169 SP SD: 0.1650 c. M:-0.3115 c. 1046: 169 68 187 128 146 151 197 SP SD: 0.1329 c. M:-0.2377 c. 1076: 174 70 192 132 150 155 203 SP SD: 0.0934 c. M:-0.1671 c. 1226: 198 80 219 150 171 177 231 SP SD: 0.1082 c. M:-0.1469 c. 1305: 211 85 233 160 182 188 246 SP SD: 0.1131 c. M:-0.1555 c. 1362: 220 89 243 167 190 196 257 SP SD: 0.1086 c. M: 0.1902 c. 1491: 241 97 266 183 208 215 281 SP SD: 0.0887 c. M: 0.1965 c. 1671: 270 109 298 205 233 241 315 SP SD: 0.0679 c. M: 0.1372 c. 1777: 287 116 317 218 248 256 335 SP SD: 0.0704 c. M:-0.1195 c. 1900: 307 124 339 233 265 274 358 SP SD: 0.0788 c. M:-0.1363 c. 1999: 323 130 357 245 279 288 377 SP SD: 0.0756 c. M: 0.1453 c. 2122: 343 138 379 260 296 306 400 SP SD: 0.0491 c. M:-0.0830 c. 2179: 352 142 389 267 304 314 411 SP SD: 0.0582 c. M: 0.1008 c. 2302: 372 150 411 282 321 332 434 SP SD: 0.0441 c. M: 0.0858 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: 34.2737 cents 3 x x 4 x 5 x 6 S SD: 28.1324 cents 4 x x 5:6 x 7:8 S SD: 30.3346 cents 5 x 6 x 7:8:9:10 S SD: 16.2187 cents 6 x 7:8:9:10:11:12 S SD: 22.0887 cents 7:8 x 9:10:11:12:14 S SD: 13.1799 cents 8:9 x 11:12:13:14:16 SD: 17.1828 cents 9:10:11:12:13:14:16:18 S SD: 12.5673 cents 12:13:14:16:17:19:21:24 SD: 9.2587 cents 13 x 15:17:19:21:23:26 SD: 8.6468 cents 14:16 x 19:20:22:25:28 SD: 11.3975 cents 15:17:18:20:22:24:26:30 SD: 9.1053 cents 16:18:19:21:23:25:28:32 SD: 6.1143 cents 18:20:21:24:26:29:32:36 SD: 5.3926 cents 24:27:28:32:35:38:42:48 SD: 3.8012 cents 25:28:29:33:36:40:44:50 SD: 3.0700 cents 34:38:40:45:49:54:60:68 SD: 1.9205 cents 41:46:48:54:59:65:72:82 SD: 1.6937 cents 58:65:68:77:84:92:102:116 SD: 1.5537 cents 59:66:69:78:85:94:104:118 SD: 1.4314 cents 65:73:76:86:94:103:114:130 SD: 1.4148 cents 70:78:82:93:101:111:123:140 SD: 1.3547 cents 77:86:90:102:111:122:135:154 SD: 0.7808 cents 111:124:130:147:160:176:195:222 SD: 0.5986 cents 136:152:159:180:196:216:239:272 SD: 0.4797 cents 170:190:199:225:245:270:298:340 SD: 0.3999 cents 204:228:239:270:294:324:358:408 SD: 0.3933 cents 228:255:267:302:329:362:400:456 SD: 0.3007 cents 253:283:296:335:365:402:444:506 SD: 0.2125 cents 330:369:386:437:476:524:579:660 SD: 0.1841 cents 364:407:426:482:525:578:639:728 SD: 0.1520 cents 505:565:591:669:728:802:886:1010 SD: 0.1350 cents 564:631:660:747:813:896:990:1128 SD: 0.1272 cents