Scala analysis: CD14_10_Algeria
Suite - L'ensemble d'Al-'Arabî Ben Sârî (raml al-ashiyya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 226.762 cents 226.761725 2: 298.387 cents 298.387465 3: 509.204 cents 509.203995 4: 622.782 cents 622.781863 5: 790.827 cents 790.826681 6: 1001.093 cents 1001.092982 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 198.9070 cents 198.9070 1: 226.7617 cents 226.7617 2: 71.6257 cents 71.6257 3: 210.8165 cents 210.8165 4: 113.5779 cents 113.5779 5: 168.0448 cents 168.0448 6: 210.2663 cents 210.2663 7: 198.9070 cents 198.9070
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 71.62574 cents 1: 1 113.57787 cents 1: 1 168.04482 cents 1: 1 198.90702 cents 1: 1 210.26630 cents 1: 1 210.81653 cents 1: 1 226.76172 cents 2: 1 281.62269 cents 2: 1 282.44227 cents 2: 1 298.38746 cents 2: 1 324.39440 cents 2: 1 378.31112 cents 2: 1 409.17332 cents 2: 1 425.66874 cents 3: 1 396.02014 cents 3: 1 491.88899 cents 3: 1 492.43922 cents 3: 1 497.29448 cents 3: 1 509.20400 cents 3: 1 577.21814 cents 3: 1 635.93504 cents 4: 1 564.06496 cents 4: 1 622.78186 cents 4: 1 690.79600 cents 4: 1 702.70552 cents 4: 1 707.56078 cents 4: 1 708.11101 cents 4: 1 803.97986 cents 5: 1 774.33126 cents 5: 1 790.82668 cents 5: 1 821.68888 cents 5: 1 875.60560 cents 5: 1 901.61254 cents 5: 1 917.55773 cents 5: 1 918.37731 cents 6: 1 973.23828 cents 6: 1 989.18347 cents 6: 1 989.73370 cents 6: 1 1001.09298 cents 6: 1 1031.95518 cents 6: 1 1086.42213 cents 6: 1 1128.37426 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 : 226.8 298.4 509.2 622.8 790.8 1001.1 1200.0 226.8 : 71.6 282.4 396.0 564.1 774.3 973.2 1200.0 298.4 : 210.8 324.4 492.4 702.7 901.6 1128.4 1200.0 509.2 : 113.6 281.6 491.9 690.8 917.6 989.2 1200.0 622.8 : 168.0 378.3 577.2 804.0 875.6 1086.4 1200.0 790.8 : 210.3 409.2 635.9 707.6 918.4 1032.0 1200.0 1001.1: 198.9 425.7 497.3 708.1 821.7 989.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.6257 .. 226.7617 cents 155.13599 cents 71.62574 cents 2: 281.6227 .. 425.6687 cents 144.04606 cents 54.86096 cents 3: 396.0201 .. 635.9350 cents 239.91491 cents -29.64861 cents 4: 564.0650 .. 803.9799 cents 239.91491 cents -71.87009 cents 5: 774.3313 .. 918.3773 cents 144.04606 cents -29.64861 cents 6: 973.2383 .. 1128.3743 cents 155.13598 cents 54.86096 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 71.62574 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.76172 cents Average / Smallest step : 2.393393 Largest / Average step : 1.322777 Largest / Smallest step : 3.165925 Median interval of one step : 198.90702 cents, amount: 1 Least squares average step : 165.73548 cents, oct.: 1160.14837 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GAFBCED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.15318 cents Scale diversity : 1.676582 Lumma stability : 0.210811 Lumma impropriety factor : 0.109306 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 : 0.55023 cents Number of recognisable fifths : 4, average 702.2933 cents 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: 45.0056 c. M:-66.3162 c. Lebeng 9: 2 0 2 1 1 2 1 N D3 SD: 36.8215 c. M:-65.5737 c. 10: 2 0 2 1 1 2 2 N SD: 40.8154 c. M: 70.8267 c. 11: 2 1 2 1 1 2 2 N D3 SD: 24.9051 c. M:-36.2506 c. 12: 2 1 2 1 2 2 2 P D3 S SD: 14.1818 c. M: 26.7617 c. Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5 17: 3 1 3 2 2 3 3 N SD: 13.2966 c. M: 16.0345 c. 21: 4 1 4 2 3 4 3 N SD: 12.3198 c. M:-27.4784 c. 23: 4 2 4 2 3 4 4 N SD: 11.1649 c. M: 18.0661 c. 29: 5 2 5 3 4 5 5 N SD: 10.1454 c. M: 19.8652 c. 31: 6 2 5 3 4 6 5 N SD: 8.5401 c. M: 16.6331 c. 32: 6 2 6 3 4 6 5 N SD: 9.3582 c. M:-15.7960 c. 33: 6 2 6 3 5 6 5 N SD: 8.6758 c. M:-17.0888 c. 35: 7 2 6 3 5 6 6 N SD: 7.4452 c. M:-13.2383 c. 36: 7 2 6 4 5 6 6 N SD: 6.8366 c. M:-10.5515 c. 41: 8 2 7 4 6 7 7 N SD: 6.8140 c. M: 11.6430 c. 42: 8 2 8 4 6 7 7 N SD: 6.6394 c. M: 12.6732 c. 43: 8 3 7 4 6 8 7 N SD: 6.6861 c. M: 9.4313 c. 44: 8 3 8 4 6 8 7 N SD: 5.8671 c. M:-8.9778 c. 47: 9 3 8 4 7 8 8 N SD: 5.4050 c. M: 10.0159 c. 48: 9 3 8 5 7 8 8 N SD: 5.0805 c. M: 9.2040 c. 52: 10 3 9 5 7 9 9 N SD: 4.4206 c. M: 8.7853 c. 56: 11 3 10 5 8 10 9 N SD: 4.6465 c. M:-8.9526 c. 59: 11 4 10 6 8 10 10 N SD: 4.4739 c. M:-7.7266 c. 64: 12 4 11 6 9 11 11 N SD: 3.6970 c. M: 7.3430 c. 68: 13 4 12 6 10 12 11 N SD: 3.3018 c. M: 5.1348 c. 73: 14 4 13 7 10 13 12 N SD: 1.9710 c. M:-3.3753 c. 85: 16 5 15 8 12 15 14 N SD: 1.1716 c. M: 1.9169 c. 158: 30 9 28 15 22 28 26 N SD: 1.1371 c. M: 2.1849 c. 181: 34 11 32 17 25 32 30 N SD: 1.0134 c. M: 1.8764 c. 200: 38 12 35 19 28 35 33 N SD: 1.0987 c. M:-1.6125 c. 205: 39 12 36 19 29 36 34 N SD: 1.0681 c. M: 2.2941 c. 212: 40 13 37 20 30 37 35 N SD: 0.9310 c. M:-1.6261 c. 217: 41 13 38 21 30 38 36 N SD: 0.8201 c. M:-2.1029 c. 229: 43 14 40 22 32 40 38 N SD: 0.7417 c. M: 1.4342 c. 266: 50 16 47 25 37 47 44 N SD: 0.7768 c. M: 1.3530 c. 285: 54 17 50 27 40 50 47 N SD: 0.5960 c. M:-1.0123 c. 302: 57 18 53 29 42 53 50 N SD: 0.5004 c. M:-1.0592 c. 349: 66 21 61 33 49 61 58 N SD: 0.4066 c. M:-0.7529 c. 387: 73 23 68 37 54 68 64 N SD: 0.4753 c. M: 0.7130 c. 422: 80 25 74 40 59 74 70 N SD: 0.3205 c. M:-0.7264 c. 434: 82 26 76 41 61 76 72 N SD: 0.3217 c. M: 0.6620 c. 507: 96 30 89 48 71 89 84 N SD: 0.2741 c. M:-0.4572 c. 615: 116 37 108 58 86 108 102 N SD: 0.3103 c. M: 0.5828 c. 634: 120 38 111 60 89 111 105 N SD: 0.3232 c. M:-0.6662 c. 651: 123 39 114 62 91 114 108 N SD: 0.2247 c. M: 0.4482 c. 719: 136 43 126 68 101 126 119 N SD: 0.2481 c. M:-0.3608 c. 736: 139 44 129 70 103 129 122 N SD: 0.2008 c. M: 0.5083 c. 856: 162 51 150 81 120 150 142 N SD: 0.2522 c. M: 0.3520 c. 869: 164 52 153 82 122 152 144 N SD: 0.2410 c. M:-0.4276 c. 888: 168 53 156 84 124 156 147 N SD: 0.2357 c. M: 0.2861 c. 900: 170 54 158 85 126 158 149 N SD: 0.1692 c. M:-0.2792 c. 1006: 190 60 177 95 141 176 167 N SD: 0.1553 c. M: 0.2978 c. 1091: 206 65 192 103 153 191 181 N SD: 0.1768 c. M: 0.3123 c. 1202: 227 72 211 114 168 211 199 N SD: 0.1441 c. M:-0.2381 c. 1206: 228 72 212 114 169 211 200 N SD: 0.1488 c. M:-0.2487 c. 1291: 244 77 227 122 181 226 214 N SD: 0.0969 c. M:-0.1880 c. 1376: 260 82 242 130 193 241 228 N SD: 0.0999 c. M:-0.1617 c. 1593: 301 95 280 151 223 279 264 N SD: 0.0960 c. M:-0.1937 c. 1636: 309 98 287 155 229 287 271 N SD: 0.1140 c. M: 0.1575 c. 1640: 310 98 288 155 230 287 272 N SD: 0.1047 c. M:-0.1491 c. 1678: 317 100 295 159 235 294 278 N SD: 0.0992 c. M: 0.1753 c. 1713: 324 102 301 162 240 300 284 N SD: 0.0905 c. M:-0.2085 c. 1725: 326 103 303 163 242 302 286 N SD: 0.0863 c. M: 0.1732 c. 1798: 340 107 316 170 252 315 298 N SD: 0.0754 c. M:-0.1571 c. 1906: 360 114 335 180 267 334 316 N SD: 0.0852 c. M:-0.1349 c. 1942: 367 116 341 184 272 340 322 N SD: 0.0644 c. M:-0.1105 c. 2027: 383 121 356 192 284 355 336 N SD: 0.0479 c. M:-0.0959 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: 39.5866 cents 3 x x 4 x 5 x 6 S SD: 31.3985 cents 4 x 5 x 6 x 7:8 S SD: 30.6600 cents 5 x 6 x 7:8:9:10 S SD: 10.4197 cents 6 x 7:8:9 x 11:12 SD: 19.7141 cents 7:8 x 9:10:11:12:14 S SD: 16.8571 cents 8:9:10:11 x 13:14:16 SD: 19.3923 cents 9:10:11:12:13:14:16:18 S SD: 10.4813 cents 11 x 13:15:16:17:20:22 SD: 10.6163 cents 12 x 14:16:17:19:21:24 SD: 8.4536 cents 13:15 x 17:19:21:23:26 SD: 12.1878 cents 14:16:17:19:20:22:25:28 SD: 6.2733 cents 18 x 21:24:26:28:32:36 S SD: 7.4641 cents 20:23:24:27:29:32:36:40 SD: 6.1448 cents 21:24:25:28:30:33:37:42 SD: 3.7113 cents 33:38:39:44:47:52:59:66 SD: 3.6739 cents 35:40:42:47:50:55:62:70 SD: 3.3239 cents 36:41:43:48:52:57:64:72 SD: 3.0337 cents 37:42:44:50:53:58:66:74 SD: 2.7172 cents 41:47:49:55:59:65:73:82 SD: 2.4984 cents 42:48:50:56:60:66:75:84 SD: 2.3070 cents 49:56:58:66:70:77:87:98 SD: 2.2674 cents 50:57:59:67:72:79:89:100 SD: 2.1578 cents 55:63:65:74:79:87:98:110 SD: 2.0292 cents 58:66:69:78:83:92:103:116 SD: 1.7066 cents 64:73:76:86:92:101:114:128 SD: 0.9139 cents 79:90:94:106:113:125:141:158 SD: 0.8289 cents 102:116:121:137:146:161:182:204 SD: 0.8085 cents 106:121:126:142:152:167:189:212 SD: 0.8083 cents 123:140:146:165:176:194:219:246 SD: 0.7218 cents 129:147:153:173:185:204:230:258 SD: 0.6294 cents 143:163:170:192:205:226:255:286 SD: 0.3173 cents 249:284:296:334:357:393:444:498 SD: 0.2819 cents 266:303:316:357:381:420:474:532 SD: 0.2549 cents 328:374:390:440:470:518:585:656 SD: 0.2413 cents 330:376:392:443:473:521:588:660 SD: 0.2307 cents 351:400:417:471:503:554:626:702 SD: 0.1519 cents 494:563:587:663:708:780:881:988 SD: 0.1083 cents 515:587:612:691:738:813:918:1030 SD: 0.1080 cents