Scala analysis: CD17_19_Tunisia
Je vois une petite gazelle - L'ensemble de Muhammad Ghânim (unknown maqam, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 118.976 cents 118.976096 2: 296.363 cents 296.362998 3: 492.510 cents 492.510025 4: 638.959 cents 638.958739 5: 826.578 cents 826.577839 6: 987.026 cents 987.025601 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 212.9744 cents 212.9744 1: 118.9761 cents 118.9761 2: 177.3869 cents 177.3869 3: 196.1470 cents 196.1470 4: 146.4487 cents 146.4487 5: 187.6191 cents 187.6191 6: 160.4478 cents 160.4478 7: 212.9744 cents 212.9744
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.97610 cents 1: 1 146.44871 cents 1: 1 160.44776 cents 1: 1 177.38690 cents 1: 1 187.61910 cents 1: 1 196.14703 cents 1: 1 212.97440 cents 2: 1 296.36300 cents 2: 1 331.95049 cents 2: 1 334.06781 cents 2: 1 342.59574 cents 2: 1 348.06686 cents 2: 1 373.42216 cents 2: 1 373.53393 cents 3: 1 492.39826 cents 3: 1 492.51002 cents 3: 1 494.51558 cents 3: 1 509.33740 cents 3: 1 519.98264 cents 3: 1 530.21484 cents 3: 1 561.04126 cents 4: 1 638.95874 cents 4: 1 669.78516 cents 4: 1 680.01736 cents 4: 1 690.66260 cents 4: 1 705.48442 cents 4: 1 707.48997 cents 4: 1 707.60174 cents 5: 1 826.46607 cents 5: 1 826.57784 cents 5: 1 851.93314 cents 5: 1 857.40426 cents 5: 1 865.93219 cents 5: 1 868.04951 cents 5: 1 903.63700 cents 6: 1 987.02560 cents 6: 1 1003.85297 cents 6: 1 1012.38090 cents 6: 1 1022.61310 cents 6: 1 1039.55224 cents 6: 1 1053.55129 cents 6: 1 1081.02390 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 : 119.0 296.4 492.5 639.0 826.6 987.0 1200.0 119.0 : 177.4 373.5 520.0 707.6 868.0 1081.0 1200.0 296.4 : 196.1 342.6 530.2 690.7 903.6 1022.6 1200.0 492.5 : 146.4 334.1 494.5 707.5 826.5 1003.9 1200.0 639.0 : 187.6 348.1 561.0 680.0 857.4 1053.6 1200.0 826.6 : 160.4 373.4 492.4 669.8 865.9 1012.4 1200.0 987.0 : 213.0 332.0 509.3 705.5 851.9 1039.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.9761 .. 212.9744 cents 93.99830 cents 118.97610 cents 2: 296.3630 .. 373.5339 cents 77.17093 cents 83.38860 cents 3: 492.3983 .. 561.0413 cents 68.64300 cents 118.86433 cents 4: 638.9587 .. 707.6017 cents 68.64300 cents 77.91748 cents 5: 826.4661 .. 903.6370 cents 77.17093 cents 118.86433 cents 6: 987.0256 .. 1081.0239 cents 93.99830 cents 83.38860 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 118.97610 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 212.97440 cents Average / Smallest step : 1.440866 Largest / Average step : 1.242351 Largest / Smallest step : 1.790060 Median interval of one step : 177.38690 cents, amount: 1 Least squares average step : 165.71507 cents, oct.: 1160.00550 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ADFBECG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 77.91748 cents Scale diversity : 1.443670 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.600313 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 : 0.11177 cents Number of recognisable fifths : 4, average 702.8097 cents Best fifths form a closed circle Best major thirds 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: 38.2352 c. M:-52.4525 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 31.8737 c. M: 53.6923 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 1 2 1 2 P M ME S SD: 28.6921 c. M: 56.3630 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 20.0781 c. M: 38.9587 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 13: 1 2 2 2 2 2 2 SP M ME S SD: 20.4308 c. M: 30.9716 c. Zo-Kalarian 17: 2 2 3 2 3 2 3 SP M ME S SD: 12.6834 c. M:-22.2004 c. Safi al-Din's maqam Higazi 19: 2 3 3 2 3 3 3 SP M ME S SD: 13.2621 c. M:-23.5007 c. Nineteen-tone Locrian 22: 2 3 4 3 3 3 4 SP D3 SD: 11.9492 c. M: 23.6357 c. 28: 3 4 4 4 4 4 5 SP T3 SD: 10.1259 c. M: 21.0815 c. 29: 3 4 5 3 5 4 5 SP T3 SD: 8.1037 c. M: 18.2691 c. 30: 3 4 5 4 5 4 5 SP T3 SD: 10.5212 c. M: 16.3630 c. 32: 3 5 5 4 5 4 6 SP SD: 5.7259 c. M: 12.0256 c. 39: 4 6 6 5 6 5 7 SP SD: 5.6107 c. M:-11.3293 c. 41: 4 6 7 5 6 6 7 SP SD: 5.1073 c. M:-8.0964 c. 49: 5 7 8 6 8 6 9 SP SD: 4.1871 c. M: 7.4338 c. 51: 5 8 8 6 8 7 9 SP SD: 4.1258 c. M:-9.5194 c. 58: 6 8 10 7 9 8 10 SP SD: 4.3390 c. M: 6.7078 c. 61: 6 9 10 7 10 8 11 SP SD: 3.8574 c. M: 9.4505 c. 68: 7 10 11 8 11 9 12 SP SD: 2.9147 c. M:-4.5533 c. 73: 7 11 12 9 11 10 13 SP SD: 2.4701 c. M: 4.6600 c. 90: 9 13 15 11 14 12 16 SP SD: 1.3162 c. M: 3.0297 c. 122: 12 18 20 15 19 16 22 SP SD: 1.4634 c. M: 3.4190 c. 129: 13 19 21 16 20 17 23 SP SD: 1.5560 c. M:-2.9017 c. 139: 14 20 23 17 22 18 25 SP SD: 1.8816 c. M: 2.8529 c. 141: 14 21 23 17 22 19 25 SP SD: 0.8542 c. M:-1.5093 c. 231: 23 34 38 28 36 31 41 SP SD: 0.4898 c. M:-0.9965 c. 331: 33 49 54 40 52 44 59 SP SD: 0.6783 c. M: 0.9229 c. 332: 33 49 54 41 52 44 59 SP SD: 0.6529 c. M:-1.1330 c. 344: 34 51 56 42 54 46 61 SP SD: 0.3756 c. M: 0.6496 c. 434: 43 64 71 53 68 58 77 SP SD: 0.2606 c. M: 0.5105 c. 473: 47 70 77 58 74 63 84 SP SD: 0.3340 c. M:-0.4835 c. 546: 54 81 89 67 85 73 97 SP SD: 0.3145 c. M:-0.6017 c. 563: 56 83 92 69 88 75 100 SP SD: 0.2946 c. M:-0.4729 c. 575: 57 85 94 70 90 77 102 SP SD: 0.1487 c. M: 0.3500 c. 704: 70 104 115 86 110 94 125 SP SD: 0.1946 c. M:-0.3421 c. 806: 80 119 132 98 126 108 143 SP SD: 0.1903 c. M:-0.2939 c. 907: 90 134 148 111 142 121 161 SP SD: 0.1833 c. M: 0.3380 c. 948: 94 140 155 116 148 127 168 SP SD: 0.1758 c. M:-0.3162 c. 980: 97 145 160 120 153 131 174 SP SD: 0.1569 c. M: 0.2651 c. 1009: 100 149 165 123 158 135 179 SP SD: 0.1589 c. M: 0.3066 c. 1048: 104 155 171 128 164 140 186 SP SD: 0.1155 c. M:-0.2019 c. 1121: 111 166 183 137 175 150 199 SP SD: 0.1209 c. M: 0.1728 c. 1138: 113 168 186 139 178 152 202 SP SD: 0.0945 c. M:-0.1803 c. 1279: 127 189 209 156 200 171 227 SP SD: 0.0851 c. M:-0.1795 c. 1555: 154 230 254 190 243 208 276 SP SD: 0.0865 c. M: 0.1628 c. 1623: 161 240 265 198 254 217 288 SP SD: 0.0848 c. M: 0.1417 c. 1713: 170 253 280 209 268 229 304 SP SD: 0.0591 c. M:-0.1132 c. 1786: 177 264 292 218 279 239 317 SP SD: 0.0644 c. M: 0.1501 c. 2220: 220 328 363 271 347 297 394 SP SD: 0.0763 c. M: 0.1468 c. 2227: 221 329 364 272 348 298 395 SP SD: 0.0762 c. M:-0.1320 c. 2259: 224 334 369 276 353 302 401 SP SD: 0.0512 c. M:-0.0851 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: 31.4981 cents 3 x x 4 x 5 x 6 S SD: 19.3485 cents 4 x 5 x 6 x 7:8 S SD: 27.8286 cents 5 x 6 x 7:8:9:10 S SD: 13.6508 cents 6 x 7:8:9:10:11:12 S SD: 18.3284 cents 7 x 8:9:10:11:12:14 S SD: 18.8979 cents 9:10:11:12:13:15:16:18 SD: 14.3467 cents 10:11:12:13:14:16:18:20 S SD: 12.9708 cents 11:12:13:15:16:18:19:22 SD: 10.5627 cents 12:13:14:16:17:19:21:24 SD: 8.8881 cents 13:14:15:17:19:21:23:26 SD: 8.5459 cents 15:16:18:20:22:24:27:30 S SD: 6.6022 cents 16:17:19:21:23:26:28:32 SD: 5.1706 cents 25:27:30:33:36:40:44:50 SD: 4.5410 cents 26:28:31:35:38:42:46:52 SD: 4.4738 cents 27:29:32:36:39:44:48:54 SD: 3.2006 cents 31:33:37:41:45:50:55:62 SD: 2.6994 cents 42:45:50:56:61:68:74:84 SD: 2.0773 cents 43:46:51:57:62:69:76:86 SD: 1.5597 cents 69:74:82:92:100:111:122:138 SD: 1.1569 cents 70:75:83:93:101:113:124:140 SD: 0.8483 cents 85:91:101:113:123:137:150:170 SD: 0.6447 cents 139:149:165:185:201:224:246:278 SD: 0.4468 cents 155:166:184:206:224:250:274:310 SD: 0.2915 cents 268:287:318:356:388:432:474:536 SD: 0.2770 cents 294:315:349:391:425:474:520:588 SD: 0.2408 cents 338:362:401:449:489:545:598:676 SD: 0.2012 cents 392:420:465:521:567:632:693:784 SD: 0.1570 cents 423:453:502:562:612:682:748:846 SD: 0.1359 cents 562:602:667:747:813:906:994:1124 SD: 0.0605 cents