Scala analysis: CD14_13_Algeria
Sois prudent en l'aimant - L'ensemble d'Al-'Arabî Ben Sârî (ghrib, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 105.961 cents 105.961328 2: 285.452 cents 285.451894 3: 495.000 cents 494.999562 4: 586.266 cents 586.265631 5: 784.790 cents 784.789566 6: 981.511 cents 981.510510 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 218.4895 cents 218.4895 1: 105.9613 cents 105.9613 2: 179.4906 cents 179.4906 3: 209.5477 cents 209.5477 4: 91.2661 cents 91.2661 5: 198.5239 cents 198.5239 6: 196.7209 cents 196.7209 7: 218.4895 cents 218.4895
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 91.26607 cents 1: 1 105.96133 cents 1: 1 179.49057 cents 1: 1 196.72094 cents 1: 1 198.52394 cents 1: 1 209.54767 cents 1: 1 218.48949 cents 2: 1 285.45189 cents 2: 1 289.79000 cents 2: 1 300.81374 cents 2: 1 324.45082 cents 2: 1 389.03823 cents 2: 1 395.24488 cents 2: 1 415.21043 cents 3: 1 480.30430 cents 3: 1 486.51095 cents 3: 1 494.99956 cents 3: 1 499.33767 cents 3: 1 503.94138 cents 3: 1 521.17176 cents 3: 1 613.73437 cents 4: 1 586.26563 cents 4: 1 678.82824 cents 4: 1 696.05862 cents 4: 1 700.66233 cents 4: 1 705.00044 cents 4: 1 713.48905 cents 4: 1 719.69570 cents 5: 1 784.78957 cents 5: 1 804.75512 cents 5: 1 810.96177 cents 5: 1 875.54918 cents 5: 1 899.18626 cents 5: 1 910.21000 cents 5: 1 914.54811 cents 6: 1 981.51051 cents 6: 1 990.45233 cents 6: 1 1001.47606 cents 6: 1 1003.27906 cents 6: 1 1020.50943 cents 6: 1 1094.03867 cents 6: 1 1108.73393 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 : 106.0 285.5 495.0 586.3 784.8 981.5 1200.0 106.0 : 179.5 389.0 480.3 678.8 875.5 1094.0 1200.0 285.5 : 209.5 300.8 499.3 696.1 914.5 1020.5 1200.0 495.0 : 91.3 289.8 486.5 705.0 811.0 990.5 1200.0 586.3 : 198.5 395.2 613.7 719.7 899.2 1108.7 1200.0 784.8 : 196.7 415.2 521.2 700.7 910.2 1001.5 1200.0 981.5 : 218.5 324.5 503.9 713.5 804.8 1003.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 91.2661 .. 218.4895 cents 127.22342 cents 91.26607 cents 2: 285.4519 .. 415.2104 cents 129.75854 cents 66.96240 cents 3: 480.3043 .. 613.7344 cents 133.43007 cents 65.09387 cents 4: 586.2656 .. 719.6957 cents 133.43007 cents -27.46874 cents 5: 784.7896 .. 914.5481 cents 129.75854 cents 65.09387 cents 6: 981.5105 .. 1108.7339 cents 127.22342 cents 66.96240 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 91.26607 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.48949 cents Average / Smallest step : 1.878339 Largest / Average step : 1.274522 Largest / Smallest step : 2.393984 Median interval of one step : 196.72094 cents, amount: 1 Least squares average step : 162.28527 cents, oct.: 1135.99686 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BCFAEDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 27.46874 cents Scale diversity : 1.575807 Lumma stability : 0.372204 Lumma impropriety factor : 0.022891 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 : 1.80299 cents Number of recognisable fifths : 5, average 706.9812 cents Number of appreciable fifths : 4, average 703.8026 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 133.4301 cents: 4 -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 105.4519 c. M: 152.1424 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 38.2954 c. M:-68.4895 c. 9: 1 1 2 0 2 1 2 N D3 SD: 33.6491 c. M: 52.9323 c. 10: 1 1 2 1 2 1 2 P M ME S SD: 29.7309 c. M:-55.2104 c. 11: 1 2 2 0 2 2 2 N T3 SD: 30.2787 c. M:-50.4550 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 12.1540 c. M:-18.4895 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 21: 2 3 4 1 4 3 4 N SD: 11.9191 c. M:-19.2862 c. 22: 2 3 4 2 3 4 4 P SD: 10.8538 c. M: 21.1532 c. 25: 2 4 4 2 4 4 5 N SD: 12.9873 c. M: 21.5105 c. 26: 2 4 5 2 4 4 5 P SD: 10.4179 c. M:-13.7344 c. 29: 3 4 5 2 5 5 5 N SD: 8.7444 c. M:-18.1766 c. 33: 3 5 6 2 6 5 6 N SD: 8.3612 c. M:-15.2104 c. 34: 3 5 6 3 5 6 6 P SD: 6.6917 c. M:-13.7344 c. 37: 3 6 6 3 6 6 7 N SD: 6.6458 c. M: 8.6640 c. 41: 4 6 7 3 7 7 7 N SD: 7.5418 c. M:-13.6114 c. 43: 4 6 8 3 7 7 8 N SD: 4.7928 c. M:-7.3260 c. 55: 5 8 10 4 9 9 10 N SD: 3.1191 c. M:-6.8186 c. 60: 5 9 11 4 10 10 11 N SD: 4.7017 c. M: 6.2656 c. 66: 6 10 11 5 11 11 12 N SD: 3.4849 c. M:-5.4572 c. 67: 6 10 12 5 11 11 12 N SD: 3.6232 c. M:-6.4930 c. 72: 6 11 13 5 12 12 13 N SD: 3.3609 c. M: 5.9613 c. 78: 7 12 13 6 13 13 14 N SD: 3.1541 c. M:-6.8558 c. 80: 7 12 14 6 13 13 15 N SD: 3.1181 c. M: 6.5105 c. 88: 8 13 15 7 15 14 16 N SD: 3.0451 c. M:-6.1195 c. 90: 8 13 16 7 15 15 16 N SD: 3.0064 c. M: 5.4519 c. 92: 8 14 16 7 15 15 17 N SD: 1.7356 c. M: 3.2496 c. 104: 9 16 18 8 17 17 19 N SD: 1.7015 c. M:-3.0096 c. 121: 11 18 21 9 20 20 22 N SD: 1.6175 c. M:-3.1296 c. 127: 11 19 22 10 21 21 23 N SD: 1.8242 c. M: 3.6610 c. 133: 12 20 23 10 22 22 24 N SD: 1.7497 c. M:-3.2699 c. 139: 12 21 24 11 23 23 25 N SD: 1.8035 c. M: 2.9132 c. 147: 13 22 26 11 24 24 27 N SD: 1.5118 c. M:-2.9596 c. 148: 13 22 26 11 25 24 27 N SD: 1.3352 c. M: 2.4818 c. 160: 14 24 28 12 27 26 29 N SD: 1.2567 c. M:-2.7104 c. 170: 15 25 30 13 28 28 31 N SD: 1.3220 c. M: 3.0990 c. 180: 16 27 31 14 30 29 33 N SD: 1.2372 c. M:-1.8771 c. 182: 16 27 32 14 30 30 33 N SD: 0.8751 c. M: 1.9354 c. 203: 18 30 36 15 34 33 37 N SD: 1.1132 c. M: 1.7081 c. 219: 19 33 38 17 36 36 40 N SD: 1.1403 c. M: 1.8517 c. 223: 20 33 39 17 37 36 41 N SD: 1.0838 c. M: 2.1383 c. 231: 20 35 40 18 38 38 42 N SD: 1.0251 c. M: 2.0652 c. 235: 21 35 41 18 39 38 43 N SD: 0.9733 c. M:-1.5934 c. 240: 21 36 42 18 40 39 44 N SD: 0.8499 c. M: 1.5105 c. 248: 22 37 43 19 41 41 45 N SD: 0.7893 c. M: 1.4512 c. 252: 22 38 44 19 42 41 46 N SD: 0.6585 c. M: 1.1994 c. 274: 24 41 48 21 45 45 50 N SD: 0.6163 c. M: 0.8518 c. 286: 25 43 50 22 47 47 52 N SD: 0.6103 c. M:-1.1470 c. 303: 27 45 53 23 50 50 55 N SD: 0.5202 c. M:-0.9694 c. 315: 28 47 55 24 52 52 57 N SD: 0.6092 c. M:-1.3466 c. 352: 31 53 61 27 58 58 64 N SD: 0.5300 c. M:-0.9117 c. 373: 33 56 65 28 62 61 68 N SD: 0.4887 c. M:-0.8752 c. 395: 35 59 69 30 65 65 72 N SD: 0.4198 c. M: 0.9921 c. 407: 36 61 71 31 67 67 74 N SD: 0.3808 c. M:-0.5432 c. 500: 44 75 87 38 83 82 91 N SD: 0.3709 c. M: 0.6656 c. 512: 45 77 89 39 85 84 93 N SD: 0.4159 c. M:-0.5207 c. 534: 47 80 93 41 88 88 97 N SD: 0.3961 c. M: 0.6175 c. 543: 48 81 95 41 90 89 99 N SD: 0.3167 c. M: 0.6303 c. 555: 49 83 97 42 92 91 101 N SD: 0.1419 c. M: 0.3197 c. 829: 73 124 145 63 137 136 151 N SD: 0.1822 c. M: 0.2918 c. 841: 74 126 147 64 139 138 153 N SD: 0.1791 c. M: 0.3727 c. 950: 84 142 166 72 157 156 173 N SD: 0.1728 c. M: 0.3685 c. 962: 85 144 168 73 159 158 175 N SD: 0.1521 c. M:-0.2187 c. 1202: 106 180 210 91 199 197 219 N SD: 0.1436 c. M: 0.2423 c. 1312: 116 196 229 100 217 215 239 N SD: 0.1016 c. M: 0.1825 c. 1324: 117 198 231 101 219 217 241 N SD: 0.0934 c. M:-0.1392 c. 1867: 165 279 326 142 309 306 340 N SD: 0.0661 c. M:-0.0912 c. 1879: 166 281 328 143 311 308 342 N SD: 0.0549 c. M:-0.0960 c. 1971: 174 295 344 150 326 323 359 N SD: 0.0489 c. M:-0.0884 c. 2153: 190 322 376 164 356 353 392 N SD: 0.0554 c. M: 0.0826 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 41.4173 cents 3 x x 4 x x 5:6 S SD: 32.3998 cents 4 x 5 x x 6:7:8 S SD: 32.7830 cents 5 x 6 x 7:8:9:10 S SD: 11.0683 cents 6 x 7:8 x 9:11:12 SD: 21.7440 cents 7 x 8:9:10:11:12:14 S SD: 16.5469 cents 8 x 9 x 11:13:14:16 SD: 21.1074 cents 9:10:11:12:13:14:16:18 S SD: 16.1840 cents 10:11:12:13:14:16:18:20 S SD: 12.9459 cents 11:12:13:15 x 17:19:22 SD: 12.8966 cents 12:13:14:16:17:19:21:24 SD: 6.3486 cents 17:18:20:23:24:27:30:34 SD: 5.0430 cents 27:29:32:36:38:42:48:54 SD: 4.5987 cents 28:30:33:37:39:44:49:56 SD: 3.6804 cents 30:32:35:40:42:47:53:60 SD: 3.1063 cents 33:35:39:44:46:52:58:66 SD: 2.0215 cents 45:48:53:60:63:71:79:90 SD: 1.6605 cents 63:67:74:84:88:99:111:126 SD: 1.5760 cents 67:71:79:89:94:105:118:134 SD: 1.3893 cents 79:84:93:105:111:124:139:158 SD: 1.0171 cents 94:100:111:125:132:148:166:188 SD: 0.6671 cents 127:135:150:169:178:200:224:254 SD: 0.5265 cents 139:148:164:185:195:219:245:278 SD: 0.5129 cents 157:167:185:209:220:247:277:314 SD: 0.4438 cents 190:202:224:253:267:299:335:380 SD: 0.4149 cents 206:219:243:274:289:324:363:412 SD: 0.2373 cents 223:237:263:297:313:351:393:446 SD: 0.2285 cents 317:337:374:422:445:499:559:634 SD: 0.2191 cents 347:369:409:462:487:546:612:694 SD: 0.2099 cents 363:386:428:483:509:571:640:726 SD: 0.1994 cents 380:404:448:506:533:598:670:760 SD: 0.1541 cents 429:456:506:571:602:675:756:858 SD: 0.1172 cents 553:588:652:736:776:870:975:1106 SD: 0.0931 cents 586:623:691:780:822:922:1033:1172 SD: 0.0628 cents