Scala analysis: CD18_16_Tunisia
Tatoue, ô tatoueur ! / Il te parle du temps des fleurs - L'ensemble de Muhammad Ghânim (muhayyar iraq, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 194.214 cents 194.213573 2: 398.894 cents 398.893753 3: 487.253 cents 487.253156 4: 683.023 cents 683.022762 5: 893.048 cents 893.048268 6: 1005.422 cents 1005.422005 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 194.5780 cents 194.5780 1: 194.2136 cents 194.2136 2: 204.6802 cents 204.6802 3: 88.3594 cents 88.3594 4: 195.7696 cents 195.7696 5: 210.0255 cents 210.0255 6: 112.3737 cents 112.3737 7: 194.5780 cents 194.5780
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.35940 cents 1: 1 112.37374 cents 1: 1 194.21357 cents 1: 1 194.57800 cents 1: 1 195.76961 cents 1: 1 204.68018 cents 1: 1 210.02551 cents 2: 1 284.12901 cents 2: 1 293.03958 cents 2: 1 306.95173 cents 2: 1 322.39924 cents 2: 1 388.79157 cents 2: 1 398.89375 cents 2: 1 405.79511 cents 3: 1 487.25316 cents 3: 1 488.80919 cents 3: 1 494.15452 cents 3: 1 501.16530 cents 3: 1 516.97724 cents 3: 1 518.16885 cents 3: 1 593.47175 cents 4: 1 606.52825 cents 4: 1 681.83115 cents 4: 1 683.02276 cents 4: 1 698.83470 cents 4: 1 705.84548 cents 4: 1 711.19081 cents 4: 1 712.74684 cents 5: 1 794.20489 cents 5: 1 801.10625 cents 5: 1 811.20843 cents 5: 1 877.60076 cents 5: 1 893.04827 cents 5: 1 906.96042 cents 5: 1 915.87099 cents 6: 1 989.97449 cents 6: 1 995.31982 cents 6: 1 1004.23039 cents 6: 1 1005.42201 cents 6: 1 1005.78643 cents 6: 1 1087.62626 cents 6: 1 1111.64060 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 : 194.2 398.9 487.3 683.0 893.0 1005.4 1200.0 194.2 : 204.7 293.0 488.8 698.8 811.2 1005.8 1200.0 398.9 : 88.4 284.1 494.2 606.5 801.1 995.3 1200.0 487.3 : 195.8 405.8 518.2 712.7 907.0 1111.6 1200.0 683.0 : 210.0 322.4 517.0 711.2 915.9 1004.2 1200.0 893.0 : 112.4 307.0 501.2 705.8 794.2 990.0 1200.0 1005.4: 194.6 388.8 593.5 681.8 877.6 1087.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.3594 .. 210.0255 cents 121.66610 cents 88.35940 cents 2: 284.1290 .. 405.7951 cents 121.66610 cents 74.10350 cents 3: 487.2532 .. 593.4717 cents 106.21859 cents 81.45804 cents 4: 606.5283 .. 712.7468 cents 106.21859 cents 13.05650 cents 5: 794.2049 .. 915.8710 cents 121.66610 cents 81.45804 cents 6: 989.9745 .. 1111.6406 cents 121.66610 cents 74.10350 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.35940 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.02551 cents Average / Smallest step : 1.940128 Largest / Average step : 1.225149 Largest / Smallest step : 2.376946 Median interval of one step : 194.57800 cents, amount: 1 Least squares average step : 172.02589 cents, oct.: 1204.18125 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CFAEGBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.05650 cents Scale diversity : 1.505338 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.417415 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 : 0.36442 cents Number of recognisable fifths : 4, average 707.1545 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% Limited inverse transpositions with margin 114.7647 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.8146 c. M: 56.0366 c. Lebeng 10: 2 1 1 2 1 1 2 P D3 I SD: 37.6190 c. M: 53.0483 c. 11: 2 2 0 2 2 1 2 N T3 SD: 30.1170 c. M: 50.8895 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 8.9693 c. M:-16.9772 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 30: 5 5 2 5 5 3 5 P T3 SD: 6.5039 c. M: 13.0483 c. 35: 6 6 2 6 6 3 6 N T3 SD: 8.2452 c. M:-12.5348 c. 37: 6 6 3 6 7 3 6 SP SD: 6.8189 c. M:-15.0598 c. 39: 6 7 3 6 7 4 6 SP SD: 6.0463 c. M:-9.9626 c. 42: 7 7 3 7 7 4 7 P T3 SD: 4.2679 c. M: 7.3340 c. 51: 8 9 4 8 9 5 8 SP SD: 4.2411 c. M:-6.8645 c. 54: 9 9 4 9 9 5 9 P T3 SD: 4.1143 c. M:-5.8661 c. 55: 9 9 4 9 10 5 9 SP SD: 4.5518 c. M: 7.2532 c. 56: 9 10 4 9 10 5 9 P SD: 4.7783 c. M:-8.2491 c. 61: 10 10 5 10 10 6 10 SP T3 SD: 4.6667 c. M: 7.8024 c. 62: 10 11 4 10 11 6 10 P SD: 3.9441 c. M:-7.5579 c. 63: 10 11 5 10 11 6 10 SP SD: 3.9246 c. M:-7.9849 c. 67: 11 11 5 11 12 6 11 SP SD: 2.9982 c. M: 4.8639 c. 74: 12 13 5 12 13 7 12 P SD: 2.6252 c. M:-6.5117 c. 79: 13 13 6 13 14 7 13 SP SD: 2.5694 c. M: 3.9570 c. 81: 13 14 6 13 14 8 13 SP SD: 2.0752 c. M: 4.1594 c. 86: 14 15 6 14 15 8 14 P SD: 2.2919 c. M:-5.7574 c. 91: 15 15 7 15 16 8 15 SP SD: 2.8064 c. M:-3.6550 c. 93: 15 16 7 15 16 9 15 SP SD: 1.7028 c. M:-3.0694 c. 118: 19 20 9 19 21 11 19 SP SD: 1.4681 c. M: 2.2836 c. 130: 21 22 10 21 23 12 21 SP SD: 1.4105 c. M:-2.3363 c. 141: 23 24 10 23 25 13 23 SP SD: 1.4431 c. M: 2.1717 c. 148: 24 25 11 24 26 14 24 SP SD: 1.0947 c. M: 1.9417 c. 153: 25 26 11 25 27 14 25 SP SD: 1.1651 c. M:-1.8649 c. 160: 26 27 12 26 28 15 26 SP SD: 0.6943 c. M: 1.3938 c. 172: 28 29 13 28 30 16 28 SP SD: 0.8544 c. M: 1.2193 c. 204: 33 35 15 33 36 19 33 SP SD: 0.7561 c. M:-1.1062 c. 234: 38 40 17 38 41 22 38 SP SD: 0.6804 c. M:-1.1062 c. 246: 40 42 18 40 43 23 40 SP SD: 0.6315 c. M:-1.1062 c. 328: 53 56 24 54 57 31 53 SP SD: 0.5865 c. M:-1.1236 c. 352: 57 60 26 57 62 33 57 SP SD: 0.4795 c. M: 1.2046 c. 364: 59 62 27 59 64 34 59 SP SD: 0.3816 c. M:-0.6589 c. 488: 79 83 36 80 85 46 79 SP SD: 0.3861 c. M:-0.5838 c. 520: 84 89 38 85 91 49 84 SP SD: 0.3579 c. M:-0.7318 c. 524: 85 89 39 85 92 49 85 SP SD: 0.3792 c. M: 0.5800 c. 532: 86 91 39 87 93 50 86 SP SD: 0.3284 c. M:-0.5930 c. 562: 91 96 41 92 98 53 91 SP SD: 0.3273 c. M: 0.5216 c. 599: 97 102 44 98 105 56 97 SP SD: 0.2758 c. M: 0.4418 c. 680: 110 116 50 111 119 64 110 SP SD: 0.2007 c. M:-0.4603 c. 692: 112 118 51 113 121 65 112 SP SD: 0.1594 c. M:-0.3583 c. 833: 135 142 61 136 146 78 135 SP SD: 0.1940 c. M: 0.3384 c. 840: 136 143 62 137 147 79 136 SP SD: 0.1966 c. M: 0.3223 c. 845: 137 144 62 138 148 79 137 SP SD: 0.1740 c. M:-0.3426 c. 852: 138 145 63 139 149 80 138 SP SD: 0.1597 c. M: 0.3022 c. 926: 150 158 68 151 162 87 150 SP SD: 0.1529 c. M:-0.2423 c. 938: 152 160 69 153 164 88 152 SP SD: 0.1650 c. M:-0.2534 c. 1056: 171 180 78 172 185 99 171 SP SD: 0.1525 c. M:-0.2598 c. 1086: 176 185 80 177 190 102 176 SP SD: 0.1494 c. M:-0.2616 c. 1290: 209 220 95 210 226 121 209 SP SD: 0.1641 c. M: 0.2321 c. 1372: 222 234 101 224 240 129 222 SP SD: 0.1630 c. M:-0.4089 c. 1411: 228 241 104 230 247 132 229 SP SD: 0.1444 c. M: 0.3085 c. 1423: 230 243 105 232 249 133 231 SP SD: 0.1442 c. M: 0.2571 c. 1525: 247 260 112 249 267 143 247 SP SD: 0.1230 c. M:-0.2173 c. 1537: 249 262 113 251 269 144 249 SP SD: 0.1231 c. M:-0.1911 c. 1618: 262 276 119 264 283 152 262 SP SD: 0.1222 c. M:-0.2640 c. 1630: 264 278 120 266 285 153 264 SP SD: 0.1346 c. M:-0.2222 c. 1685: 273 287 124 275 295 158 273 SP SD: 0.1163 c. M:-0.2078 c. 1697: 275 289 125 277 297 159 275 SP SD: 0.1129 c. M:-0.2472 c. 1778: 288 303 131 290 311 167 288 SP SD: 0.1116 c. M:-0.2023 c. 1889: 306 322 139 308 331 177 306 SP SD: 0.1188 c. M:-0.1894 c. 1892: 306 323 139 309 331 177 307 SP SD: 0.0970 c. M: 0.1496 c. 2010: 325 343 148 328 352 188 326 SP SD: 0.0930 c. M: 0.1837 c. 2022: 327 345 149 330 354 189 328 SP SD: 0.0889 c. M: 0.1483 c. 2052: 332 350 151 335 359 192 333 SP SD: 0.0860 c. M: 0.1588 c. 2103: 340 359 155 343 368 197 341 SP SD: 0.0822 c. M: 0.2050 c. 2244: 363 383 165 366 393 210 364 SP SD: 0.0774 c. M: 0.1351 c. 2256: 365 385 166 368 395 211 366 SP SD: 0.0537 c. M: 0.1029 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: 9.4661 cents 3 x x 4 x 5 x 6 S SD: 4.6185 cents 4 x 5 x 6 x 7:8 S SD: 10.7702 cents 5 x 6:7 x 8:9:10 S SD: 29.9678 cents 6:7 x 8:9:10:11:12 S SD: 14.6821 cents 7:8:9 x 10:12:13:14 S SD: 18.9811 cents 8:9:10:11:12:13:14:16 S SD: 13.4108 cents 9:10:11:12:13:15:16:18 SD: 10.3241 cents 10:11 x 13:15:17:18:20 SD: 9.2892 cents 15:17:19:20:22:25:27:30 SD: 5.2514 cents 19:21:24:25:28:32:34:38 SD: 4.1580 cents 24:27:30:32:36:40:43:48 SD: 4.0904 cents 27:30:34:36:40:45:48:54 SD: 2.9458 cents 34:38:43:45:50:57:61:68 SD: 2.6559 cents 42:47:53:56:62:70:75:84 SD: 2.4177 cents 43:48:54:57:64:72:77:86 SD: 1.2447 cents 58:65:73:77:86:97:104:116 SD: 1.1060 cents 74:83:93:98:110:124:132:148 SD: 1.0582 cents 77:86:97:102:114:129:138:154 SD: 0.9534 cents 93:104:117:123:138:156:166:186 SD: 0.7082 cents 108:121:136:143:160:181:193:216 SD: 0.5670 cents 135:151:170:179:200:226:241:270 SD: 0.5278 cents 151:169:190:200:224:253:270:302 SD: 0.2534 cents 277:310:349:367:411:464:495:554 SD: 0.1937 cents 320:358:403:424:475:536:572:640 SD: 0.1273 cents 428:479:539:567:635:717:765:856 SD: 0.1229 cents 455:509:573:603:675:762:813:910 SD: 0.1151 cents 471:527:593:624:699:789:842:942 SD: 0.0979 cents