Scala analysis: CD18_09_Tunisia
Il n'y a de Dieu que dieu - L'ensemble de Muhammad Ghânim (muhayyar sikah, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 126.216 cents 126.215958 2: 321.413 cents 321.412676 3: 539.638 cents 539.638118 4: 716.921 cents 716.921459 5: 813.967 cents 813.966667 6: 1037.583 cents 1037.583105 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 162.4169 cents 162.4169 1: 126.2160 cents 126.2160 2: 195.1967 cents 195.1967 3: 218.2254 cents 218.2254 4: 177.2833 cents 177.2833 5: 97.0452 cents 97.0452 6: 223.6164 cents 223.6164 7: 162.4169 cents 162.4169
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 97.04521 cents 1: 1 126.21596 cents 1: 1 162.41690 cents 1: 1 177.28334 cents 1: 1 195.19672 cents 1: 1 218.22544 cents 1: 1 223.61644 cents 2: 1 274.32855 cents 2: 1 288.63285 cents 2: 1 320.66165 cents 2: 1 321.41268 cents 2: 1 386.03333 cents 2: 1 395.50878 cents 2: 1 413.42216 cents 3: 1 483.07854 cents 3: 1 483.82957 cents 3: 1 492.55399 cents 3: 1 497.94499 cents 3: 1 512.24929 cents 3: 1 539.63812 cents 3: 1 590.70550 cents 4: 1 609.29450 cents 4: 1 660.36188 cents 4: 1 687.75071 cents 4: 1 702.05501 cents 4: 1 707.44601 cents 4: 1 716.17043 cents 4: 1 716.92146 cents 5: 1 786.57784 cents 5: 1 804.49122 cents 5: 1 813.96667 cents 5: 1 878.58732 cents 5: 1 879.33835 cents 5: 1 911.36715 cents 5: 1 925.67145 cents 6: 1 976.38356 cents 6: 1 981.77456 cents 6: 1 1004.80328 cents 6: 1 1022.71666 cents 6: 1 1037.58310 cents 6: 1 1073.78404 cents 6: 1 1102.95479 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 : 126.2 321.4 539.6 716.9 814.0 1037.6 1200.0 126.2 : 195.2 413.4 590.7 687.8 911.4 1073.8 1200.0 321.4 : 218.2 395.5 492.6 716.2 878.6 1004.8 1200.0 539.6 : 177.3 274.3 497.9 660.4 786.6 981.8 1200.0 716.9 : 97.0 320.7 483.1 609.3 804.5 1022.7 1200.0 814.0 : 223.6 386.0 512.2 707.4 925.7 1103.0 1200.0 1037.6: 162.4 288.6 483.8 702.1 879.3 976.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 97.0452 .. 223.6164 cents 126.57123 cents 97.04521 cents 2: 274.3285 .. 413.4222 cents 139.09361 cents 50.71211 cents 3: 483.0785 .. 590.7055 cents 107.62696 cents 69.65638 cents 4: 609.2945 .. 716.9215 cents 107.62696 cents 18.58900 cents 5: 786.5778 .. 925.6715 cents 139.09361 cents 69.65638 cents 6: 976.3836 .. 1102.9548 cents 126.57123 cents 50.71211 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 97.04521 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 223.61644 cents Average / Smallest step : 1.766482 Largest / Average step : 1.304429 Largest / Smallest step : 2.304250 Median interval of one step : 177.28334 cents, amount: 1 Least squares average step : 171.07838 cents, oct.: 1197.54867 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BEFDAGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 18.58900 cents Scale diversity : 1.637274 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.377847 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 : 0.75103 cents Number of recognisable fifths : 5, average 706.0687 cents Number of appreciable fifths : 2, average 704.7505 cents Best fifths form a closed circle 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: 29.4378 c. M:-45.2126 c. Lebeng 9: 1 1 2 1 1 2 1 P M ME S SD: 30.8313 c. M: 54.7460 c. 10: 1 2 2 1 1 2 1 P D3 S SD: 33.0748 c. M:-60.3619 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 25.6650 c. M: 39.6381 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 13: 1 2 3 2 1 2 2 N G T3 S SD: 25.5512 c. M: 44.4896 c. 15: 2 2 3 2 1 3 2 P D3 SD: 15.8941 c. M:-33.7840 c. 16: 2 2 3 3 1 3 2 P T3 SD: 19.3042 c. M:-33.0785 c. 18: 2 3 3 3 1 4 2 P SD: 14.8458 c. M:-29.0836 c. 22: 2 4 4 3 2 4 3 P SD: 7.9463 c. M: 17.1250 c. Gandhaara Grama (Popley), Murchhana Matsarikrita 27: 3 4 5 4 2 5 4 SP SD: 9.7197 c. M: 15.3609 c. 29: 3 5 5 4 3 5 4 SP SD: 8.2500 c. M:-13.6195 c. 35: 4 5 7 5 3 6 5 SP SD: 8.7328 c. M: 12.8412 c. 37: 4 6 7 5 3 7 5 SP SD: 5.0662 c. M:-11.7132 c. 38: 4 6 7 6 3 7 5 P SD: 5.3233 c. M:-9.3943 c. 49: 5 8 9 7 4 9 7 SP SD: 5.1300 c. M: 9.0117 c. 57: 6 9 11 8 5 10 8 SP SD: 5.0558 c. M:-7.7303 c. 59: 6 10 11 8 5 11 8 SP SD: 4.6280 c. M:-9.5144 c. 60: 6 10 11 9 5 11 8 P SD: 3.6348 c. M: 6.2160 c. 67: 7 11 12 10 5 13 9 SP SD: 3.2240 c. M: 7.9965 c. 74: 8 12 13 11 6 14 10 SP SD: 2.9938 c. M: 4.5030 c. 75: 8 12 14 11 6 14 10 SP SD: 2.4974 c. M:-4.3619 c. 87: 9 14 16 13 7 16 12 SP SD: 2.2161 c. M: 4.1713 c. 94: 10 15 17 14 8 17 13 SP SD: 2.5415 c. M: 3.5406 c. 96: 10 16 17 14 8 18 13 SP SD: 2.4091 c. M: 4.4215 c. 97: 10 16 18 14 8 18 13 SP SD: 2.3187 c. M:-4.6918 c. 102: 11 16 19 15 8 19 14 SP SD: 2.3107 c. M: 3.7656 c. 105: 11 17 19 16 8 20 14 SP SD: 2.0783 c. M:-3.0785 c. 112: 12 18 20 17 9 21 15 SP SD: 1.8830 c. M: 3.9238 c. 124: 13 20 23 18 10 23 17 SP SD: 1.5046 c. M:-2.2974 c. 134: 14 22 24 20 11 25 18 SP SD: 1.1792 c. M: 2.3247 c. 149: 16 24 27 22 12 28 20 SP SD: 1.1740 c. M:-2.6431 c. 164: 17 27 30 24 13 31 22 SP SD: 1.3198 c. M: 1.8257 c. 171: 18 28 31 25 14 32 23 SP SD: 0.8259 c. M:-1.3943 c. 209: 22 34 38 31 17 39 28 SP SD: 0.8598 c. M:-1.6513 c. 236: 25 38 43 35 19 44 32 SP SD: 0.6153 c. M: 1.0737 c. 258: 27 42 47 38 21 48 35 SP SD: 0.4138 c. M: 0.6424 c. 407: 43 66 74 60 33 76 55 SP SD: 0.3039 c. M:-0.5654 c. 531: 56 86 97 78 43 99 72 SP SD: 0.4035 c. M: 0.5373 c. 534: 56 87 97 79 43 100 72 SP SD: 0.3511 c. M:-0.6191 c. 591: 62 96 108 87 48 110 80 SP SD: 0.3323 c. M: 0.6005 c. 649: 68 106 118 96 52 121 88 SP SD: 0.3581 c. M:-0.4899 c. 656: 69 107 119 97 53 122 89 SP SD: 0.2583 c. M:-0.5385 c. 665: 70 108 121 98 54 124 90 SP SD: 0.2271 c. M: 0.5305 c. 725: 76 118 132 107 59 135 98 SP SD: 0.2720 c. M: 0.4229 c. 740: 78 120 135 109 60 138 100 SP SD: 0.2431 c. M:-0.3619 c. 865: 91 141 157 128 70 161 117 SP SD: 0.2482 c. M:-0.4370 c. 874: 92 142 159 129 71 163 118 SP SD: 0.2028 c. M:-0.4032 c. 892: 94 145 162 132 72 166 121 SP SD: 0.1899 c. M: 0.3634 c. 914: 96 149 166 135 74 170 124 SP SD: 0.1886 c. M: 0.3840 c. 952: 100 155 173 141 77 177 129 SP SD: 0.1994 c. M:-0.3190 c. 989: 104 161 180 146 80 184 134 SP SD: 0.1690 c. M:-0.3012 c. 1019: 107 166 185 151 82 190 138 SP SD: 0.1915 c. M: 0.2858 c. 1056: 111 172 192 156 85 197 143 SP SD: 0.1637 c. M: 0.3303 c. 1063: 112 173 193 157 86 198 144 SP SD: 0.1599 c. M:-0.3183 c. 1101: 116 179 200 163 89 205 149 SP SD: 0.1588 c. M:-0.2448 c. 1123: 118 183 204 166 91 209 152 SP SD: 0.1479 c. M:-0.2809 c. 1225: 129 199 223 181 99 228 166 SP SD: 0.1260 c. M: 0.1953 c. 1321: 139 215 240 195 107 246 179 SP SD: 0.1221 c. M: 0.1917 c. 1359: 143 221 247 201 110 253 184 SP SD: 0.0871 c. M:-0.1614 c. 1396: 147 227 254 206 113 260 189 SP SD: 0.1007 c. M:-0.1900 c. 1523: 160 248 277 225 123 284 206 SP SD: 0.0874 c. M: 0.1490 c. 1530: 161 249 278 226 124 285 207 SP SD: 0.0918 c. M:-0.1560 c. 1617: 170 263 294 239 131 301 219 SP SD: 0.0880 c. M:-0.1335 c. 1654: 174 269 301 244 134 308 224 SP SD: 0.0825 c. M:-0.1442 c. 1759: 185 286 320 260 142 328 238 SP SD: 0.0617 c. M: 0.0951 c. 2017: 212 328 367 298 163 376 273 SP SD: 0.0721 c. M: 0.1435 c. 2188: 230 356 398 323 177 408 296 SP SD: 0.0640 c. M: 0.1024 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: 7.4832 cents 3 x x 4 x 5 x 6 S SD: 27.2540 cents 4 x 5 x 6 x 7:8 S SD: 23.9318 cents 5 x 6:7 x 8:9:10 S SD: 9.5311 cents 6 x 7:8:9:10:11:12 S SD: 16.6855 cents 7 x 8:10 x 11:13:14 SD: 25.5799 cents 8:9:10:11:12:13:15:16 SD: 16.8326 cents 9:10:11:12:14 x 16:18 S SD: 16.3197 cents 10:11:12:14:15:16:18:20 S SD: 9.0346 cents 13:14:16:18:20:21:24:26 S SD: 8.6704 cents 14:15:17:19:21:22:25:28 SD: 7.4754 cents 16:17:19:22:24:26:29:32 SD: 6.6289 cents 22:24:26:30:33:35:40:44 SD: 6.3475 cents 23:25:28:31:35:37:42:46 SD: 5.3920 cents 24:26:29:33:36:38:44:48 SD: 4.5832 cents 25:27:30:34:38:40:46:50 SD: 3.2759 cents 35:38:42:48:53:56:64:70 SD: 2.8607 cents 39:42:47:53:59:62:71:78 SD: 2.0782 cents 49:53:59:67:74:78:89:98 SD: 2.0692 cents 50:54:60:68:76:80:91:100 SD: 2.0218 cents 54:58:65:74:82:86:98:108 SD: 1.9309 cents 55:59:66:75:83:88:100:110 SD: 1.3513 cents 68:73:82:93:103:109:124:136 SD: 0.9344 cents 93:100:112:127:141:149:169:186 SD: 0.7788 cents 107:115:129:146:162:171:195:214 SD: 0.6148 cents 117:126:141:160:177:187:213:234 SD: 0.5833 cents 156:168:188:213:236:250:284:312 SD: 0.5259 cents 158:170:190:216:239:253:288:316 SD: 0.4988 cents 172:185:207:235:260:275:313:344 SD: 0.3803 cents 197:212:237:269:298:315:359:394 SD: 0.3676 cents 240:258:289:328:363:384:437:480 SD: 0.2413 cents 290:312:349:396:439:464:528:580 SD: 0.1901 cents 358:385:431:489:542:573:652:716 SD: 0.1775 cents 435:468:524:594:658:696:792:870 SD: 0.1604 cents 476:512:573:650:720:762:867:952 SD: 0.1465 cents 530:570:638:724:802:848:965:1060 SD: 0.0956 cents