Scala analysis: CD16_13_Morocco
Nous nous sommes trouvés dans un jardin - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (ushshaq, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 218.643 cents 218.643024 2: 404.627 cents 404.626664 3: 508.990 cents 508.990258 4: 711.845 cents 711.844767 5: 908.653 cents 908.653055 6: 1012.508 cents 1012.507568 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 187.4924 cents 187.4924 1: 218.6430 cents 218.6430 2: 185.9836 cents 185.9836 3: 104.3636 cents 104.3636 4: 202.8545 cents 202.8545 5: 196.8083 cents 196.8083 6: 103.8545 cents 103.8545 7: 187.4924 cents 187.4924
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 103.85451 cents 1: 1 104.36359 cents 1: 1 185.98364 cents 1: 1 187.49243 cents 1: 1 196.80829 cents 1: 1 202.85451 cents 1: 1 218.64302 cents 2: 1 290.34723 cents 2: 1 291.34695 cents 2: 1 300.66280 cents 2: 1 307.21810 cents 2: 1 399.66280 cents 2: 1 404.62666 cents 2: 1 406.13546 cents 3: 1 488.15523 cents 3: 1 493.20174 cents 3: 1 503.51731 cents 3: 1 504.02639 cents 3: 1 508.99026 cents 3: 1 509.98997 cents 3: 1 592.11910 cents 4: 1 607.88090 cents 4: 1 690.01003 cents 4: 1 691.00974 cents 4: 1 695.97361 cents 4: 1 696.48269 cents 4: 1 706.79826 cents 4: 1 711.84477 cents 5: 1 793.86454 cents 5: 1 795.37334 cents 5: 1 800.33720 cents 5: 1 892.78190 cents 5: 1 899.33720 cents 5: 1 908.65306 cents 5: 1 909.65277 cents 6: 1 981.35698 cents 6: 1 997.14549 cents 6: 1 1003.19171 cents 6: 1 1012.50757 cents 6: 1 1014.01636 cents 6: 1 1095.63641 cents 6: 1 1096.14549 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 : 218.6 404.6 509.0 711.8 908.7 1012.5 1200.0 218.6 : 186.0 290.3 493.2 690.0 793.9 981.4 1200.0 404.6 : 104.4 307.2 504.0 607.9 795.4 1014.0 1200.0 509.0 : 202.9 399.7 503.5 691.0 909.7 1095.6 1200.0 711.8 : 196.8 300.7 488.2 706.8 892.8 997.1 1200.0 908.7 : 103.9 291.3 510.0 696.0 800.3 1003.2 1200.0 1012.5: 187.5 406.1 592.1 696.5 899.3 1096.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 103.8545 .. 218.6430 cents 114.78851 cents 103.85451 cents 2: 290.3472 .. 406.1355 cents 115.78822 cents 71.70421 cents 3: 488.1552 .. 592.1191 cents 103.96386 cents 82.01978 cents 4: 607.8809 .. 711.8448 cents 103.96386 cents 15.76181 cents 5: 793.8645 .. 909.6528 cents 115.78822 cents 82.01978 cents 6: 981.3570 .. 1096.1455 cents 114.78851 cents 71.70421 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 103.85451 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.64302 cents Average / Smallest step : 1.650661 Largest / Average step : 1.275418 Largest / Smallest step : 2.105282 Median interval of one step : 187.49243 cents, amount: 1 Least squares average step : 174.43255 cents, oct.: 1221.02784 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GCBFEAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 15.76181 cents Scale diversity : 1.420028 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.442432 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 : 0.50908 cents Number of recognisable fifths : 6, average 698.6865 cents Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 114.7885 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 37.1616 c. M: 61.7695 c. Lebeng 9: 2 1 1 1 2 1 1 P M ME S SD: 34.8541 c. M:-54.1591 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 10.8325 c. M: 18.6430 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 32: 6 5 3 5 5 3 5 P T3 S SD: 7.8742 c. M:-16.0097 c. 33: 6 5 3 6 5 3 5 SP T3 SD: 6.4591 c. M:-15.4280 c. 38: 7 6 3 7 6 3 6 P T3 SD: 6.7482 c. M:-14.4710 c. 39: 7 6 4 6 7 3 6 SP SD: 8.1418 c. M:-14.4239 c. 42: 8 6 4 7 7 3 7 P SD: 6.9913 c. M: 12.5076 c. 44: 8 7 4 7 7 4 7 P T3 S SD: 5.3286 c. M:-9.1916 c. 45: 8 7 4 8 7 4 7 SP T3 SD: 4.2449 c. M:-8.1552 c. 54: 10 8 5 9 9 5 8 SP S SD: 4.4669 c. M:-9.7147 c. 57: 10 9 5 10 9 5 9 SP T3 SD: 4.3450 c. M: 8.1167 c. 59: 11 9 5 10 10 5 9 SP S SD: 3.6659 c. M:-6.6012 c. 62: 11 10 5 11 10 5 10 P T3 SD: 4.2356 c. M: 6.0560 c. 66: 12 10 6 11 11 6 10 SP S SD: 2.9665 c. M:-5.6743 c. 71: 13 11 6 12 12 6 11 SP S SD: 2.0206 c. M:-4.0230 c. 83: 15 13 7 14 14 7 13 SP S SD: 2.0224 c. M: 3.4110 c. 103: 19 16 9 17 17 9 16 SP S SD: 2.1701 c. M:-3.6311 c. 104: 19 16 9 18 17 9 16 SP SD: 2.1305 c. M:-3.5398 c. 115: 21 18 10 19 19 10 18 SP S SD: 1.5590 c. M:-2.3299 c. 116: 21 18 10 20 19 10 18 SP SD: 1.5141 c. M: 2.0937 c. 128: 23 20 11 22 21 11 20 SP SD: 1.6828 c. M: 3.0180 c. 136: 25 21 12 23 22 12 21 SP SD: 1.9312 c. M:-2.8611 c. 148: 27 23 13 25 24 13 23 SP SD: 1.0751 c. M:-1.8206 c. 160: 29 25 14 27 26 14 25 SP SD: 0.7768 c. M: 1.1531 c. 219: 40 34 19 37 36 19 34 SP SD: 0.7465 c. M:-1.1911 c. 231: 42 36 20 39 38 20 36 SP SD: 0.3764 c. M:-0.5681 c. 531: 97 82 46 90 87 46 83 SP SD: 0.3014 c. M:-0.5660 c. 543: 99 84 47 92 89 47 85 SP SD: 0.3534 c. M: 0.7030 c. 646: 118 100 56 109 106 56 101 SP SD: 0.3083 c. M:-0.5520 c. 679: 124 105 59 115 111 59 106 SP SD: 0.2661 c. M:-0.5028 c. 691: 126 107 60 117 113 60 108 SP SD: 0.1891 c. M: 0.4041 c. 762: 139 118 66 129 125 66 119 SP SD: 0.1656 c. M: 0.3288 c. 910: 166 141 79 154 149 79 142 SP SD: 0.1827 c. M:-0.2581 c. 922: 168 143 80 156 151 80 144 SP SD: 0.1074 c. M: 0.1932 c. 1273: 232 197 111 215 209 110 199 SP SD: 0.1132 c. M: 0.2276 c. 1421: 259 220 124 240 233 123 222 SP SD: 0.1041 c. M:-0.2286 c. 1426: 260 221 124 241 234 123 223 SP SD: 0.1339 c. M:-0.1828 c. 1433: 261 222 125 242 235 124 224 SP SD: 0.1001 c. M: 0.1605 c. 1504: 274 233 131 254 247 130 235 SP SD: 0.0847 c. M: 0.1426 c. 1652: 301 256 144 279 271 143 258 SP SD: 0.0898 c. M:-0.2107 c. 1664: 303 258 145 281 273 144 260 SP SD: 0.0816 c. M:-0.1444 c. 1964: 358 304 171 332 322 170 307 SP SD: 0.0836 c. M: 0.1460 c. 2035: 371 315 177 344 334 176 318 SP SD: 0.0842 c. M:-0.1285 c. 2183: 398 338 190 369 358 189 341 SP SD: 0.0595 c. M:-0.1385 c. 2195: 400 340 191 371 360 190 343 SP SD: 0.0396 c. M: 0.0709 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: 4.9449 cents 3 x x 4 x 5 x 6 S SD: 8.8820 cents 4 x 5 x 6 x 7:8 S SD: 12.0966 cents 5 x 6:7 x 8:9:10 S SD: 29.9122 cents 6:7 x 8:9:10:11:12 S SD: 11.1705 cents 7:8:9 x 11:12:13:14 SD: 16.8150 cents 8:9:10:11:12 x 14:16 S SD: 10.9924 cents 10:11:13 x 15:17:18:20 SD: 12.4270 cents 12:14:15:16:18:20:22:24 S SD: 9.9257 cents 14:16:18:19:21:24:25:28 SD: 6.7693 cents 15:17:19:20:23:25:27:30 SD: 5.6317 cents 20:23:25:27:30:34:36:40 SD: 4.9777 cents 23:26:29:31:35:39:41:46 SD: 3.2138 cents 29:33:37:39:44:49:52:58 SD: 2.9807 cents 30:34:38:40:45:51:54:60 SD: 2.7421 cents 35:40:44:47:53:59:63:70 SD: 2.5557 cents 38:43:48:51:57:64:68:76 SD: 1.9336 cents 45:51:57:60:68:76:81:90 SD: 1.9221 cents 53:60:67:71:80:90:95:106 SD: 1.3926 cents 65:74:82:87:98:110:117:130 SD: 1.3563 cents 67:76:85:90:101:113:120:134 SD: 1.3248 cents 73:83:92:98:110:123:131:146 SD: 1.1470 cents 87:99:110:117:131:147:156:174 SD: 1.0736 cents 88:100:111:118:133:149:158:176 SD: 0.8474 cents 103:117:130:138:155:174:185:206 SD: 0.8352 cents 106:120:134:142:160:179:190:212 SD: 0.8139 cents 126:143:159:169:190:213:226:252 SD: 0.3495 cents 216:245:273:290:326:365:388:432 SD: 0.3229 cents 258:293:326:346:389:436:463:516 SD: 0.3046 cents 281:319:355:377:424:475:504:562 SD: 0.2145 cents 342:388:432:459:516:578:614:684 SD: 0.1141 cents 468:531:591:628:706:791:840:936 SD: 0.0969 cents