Scala analysis: CD14_07_Algeria
Que ton destin te soit toujours favorable - 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: 214.791 cents 214.790869 2: 295.923 cents 295.923298 3: 492.679 cents 492.678859 4: 690.652 cents 690.652226 5: 789.123 cents 789.123196 6: 992.120 cents 992.119525 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 207.8805 cents 207.8805 1: 214.7909 cents 214.7909 2: 81.1324 cents 81.1324 3: 196.7556 cents 196.7556 4: 197.9734 cents 197.9734 5: 98.4710 cents 98.4710 6: 202.9963 cents 202.9963 7: 207.8805 cents 207.8805
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.13243 cents 1: 1 98.47097 cents 1: 1 196.75556 cents 1: 1 197.97337 cents 1: 1 202.99633 cents 1: 1 207.88047 cents 1: 1 214.79087 cents 2: 1 277.88799 cents 2: 1 295.92330 cents 2: 1 296.44434 cents 2: 1 301.46730 cents 2: 1 394.72893 cents 2: 1 410.87680 cents 2: 1 422.67134 cents 3: 1 475.86136 cents 3: 1 492.67886 cents 3: 1 493.19990 cents 3: 1 499.44067 cents 3: 1 503.80377 cents 3: 1 509.34777 cents 3: 1 625.66767 cents 4: 1 574.33233 cents 4: 1 690.65223 cents 4: 1 696.19623 cents 4: 1 700.55933 cents 4: 1 706.80010 cents 4: 1 707.32114 cents 4: 1 724.13864 cents 5: 1 777.32866 cents 5: 1 789.12320 cents 5: 1 805.27107 cents 5: 1 898.53270 cents 5: 1 903.55566 cents 5: 1 904.07670 cents 5: 1 922.11201 cents 6: 1 985.20913 cents 6: 1 992.11952 cents 6: 1 997.00367 cents 6: 1 1002.02663 cents 6: 1 1003.24444 cents 6: 1 1101.52903 cents 6: 1 1118.86757 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 : 214.8 295.9 492.7 690.7 789.1 992.1 1200.0 214.8 : 81.1 277.9 475.9 574.3 777.3 985.2 1200.0 295.9 : 196.8 394.7 493.2 696.2 904.1 1118.9 1200.0 492.7 : 198.0 296.4 499.4 707.3 922.1 1003.2 1200.0 690.7 : 98.5 301.5 509.3 724.1 805.3 1002.0 1200.0 789.1 : 203.0 410.9 625.7 706.8 903.6 1101.5 1200.0 992.1 : 207.9 422.7 503.8 700.6 898.5 997.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.1324 .. 214.7909 cents 133.65844 cents 81.13243 cents 2: 277.8880 .. 422.6713 cents 144.78335 cents 63.09712 cents 3: 475.8614 .. 625.6677 cents 149.80632 cents 53.19001 cents 4: 574.3323 .. 724.1386 cents 149.80632 cents -51.33535 cents 5: 777.3287 .. 922.1120 cents 144.78335 cents 53.19001 cents 6: 985.2091 .. 1118.8676 cents 133.65844 cents 63.09712 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 81.13243 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 214.79087 cents Average / Smallest step : 2.112948 Largest / Average step : 1.252947 Largest / Smallest step : 2.647411 Median interval of one step : 197.97337 cents, amount: 1 Least squares average step : 166.75440 cents, oct.: 1167.28080 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GACDBEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 51.33535 cents Scale diversity : 1.500844 Lumma stability : 0.329033 Lumma impropriety factor : 0.042779 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 : 0.52104 cents Number of recognisable fifths : 5, average 700.3058 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 133.6584 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 38.7846 c. M:-68.0197 c. Lebeng 9: 2 0 2 1 1 1 2 N T3 SD: 36.5460 c. M: 58.7862 c. 11: 2 1 2 1 1 2 2 N D3 SD: 28.8814 c. M:-52.7757 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 8.9185 c. M: 14.7909 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 29: 5 2 5 5 2 5 5 N M DE S SD: 6.4345 c. M:-12.7960 c. Twenty-nine tone Minor 35: 6 3 5 6 3 6 6 N SD: 7.8603 c. M: 12.6789 c. 40: 7 3 6 7 3 7 7 N SD: 6.4196 c. M: 12.6789 c. 41: 7 3 7 7 3 7 7 N M DE S SD: 6.3448 c. M:-11.7868 c. Forty-one tone Minor 44: 8 3 7 7 4 7 8 N SD: 5.5882 c. M: 10.3013 c. 52: 9 4 8 9 4 9 9 N SD: 4.7075 c. M: 8.0635 c. 56: 10 4 9 9 5 9 10 N SD: 3.7083 c. M: 6.4052 c. 61: 11 4 10 10 5 10 11 N SD: 3.5061 c. M: 8.5130 c. 68: 12 5 11 11 6 11 12 N SD: 3.2452 c. M:-4.9945 c. 73: 13 5 12 12 6 12 13 N SD: 2.2467 c. M: 5.8182 c. 82: 15 5 14 13 7 14 14 N SD: 3.2734 c. M:-4.8821 c. 85: 15 6 14 14 7 14 15 N SD: 2.0701 c. M: 3.8842 c. 110: 20 7 18 18 9 19 19 N SD: 2.4430 c. M: 3.6687 c. 117: 21 8 19 19 10 20 20 N SD: 1.8047 c. M: 3.4727 c. 122: 22 8 20 20 10 21 21 N SD: 1.4798 c. M: 2.2380 c. 134: 24 9 22 22 11 23 23 N SD: 0.9403 c. M:-1.9103 c. 163: 29 11 27 27 13 28 28 N SD: 1.2513 c. M:-1.7455 c. 190: 34 13 31 31 16 32 33 N SD: 0.9443 c. M: 2.2312 c. 195: 35 13 32 32 16 33 34 N SD: 0.9763 c. M: 1.4309 c. 202: 36 14 33 33 17 34 35 N SD: 0.8925 c. M: 1.5433 c. 207: 37 14 34 34 17 35 36 N SD: 0.5322 c. M: 0.8152 c. 219: 39 15 36 36 18 37 38 N SD: 0.4775 c. M: 1.0922 c. 353: 63 24 58 58 29 60 61 N SD: 0.4265 c. M: 0.6266 c. 426: 76 29 70 70 35 72 74 N SD: 0.4372 c. M: 0.7064 c. 462: 83 31 76 76 38 78 80 N SD: 0.4867 c. M:-0.8276 c. 474: 85 32 78 78 39 80 82 N SD: 0.5481 c. M:-0.9920 c. 479: 86 32 79 79 39 81 83 N SD: 0.5173 c. M:-0.8493 c. 485: 87 33 79 80 40 82 84 N SD: 0.4511 c. M:-0.9839 c. 490: 88 33 80 81 40 83 85 N SD: 0.4233 c. M:-0.7193 c. 502: 90 34 82 83 41 85 87 N SD: 0.2787 c. M:-0.4910 c. 514: 92 35 84 85 42 87 89 N SD: 0.2684 c. M:-0.5748 c. 636: 114 43 104 105 52 108 110 N SD: 0.2805 c. M: 0.4440 c. 648: 116 44 106 107 53 110 112 N SD: 0.2489 c. M:-0.4731 c. 709: 127 48 116 117 58 120 123 N SD: 0.2352 c. M: 0.4067 c. 721: 129 49 118 119 59 122 125 N SD: 0.1677 c. M:-0.3319 c. 867: 155 59 142 143 71 147 150 N SD: 0.1901 c. M:-0.2705 c. 940: 168 64 154 155 77 159 163 N SD: 0.1889 c. M: 0.3228 c. 1011: 181 68 166 167 83 171 175 N SD: 0.1848 c. M: 0.3743 c. 1067: 191 72 175 176 88 180 185 N SD: 0.1763 c. M:-0.3801 c. 1074: 192 73 176 177 88 182 186 N SD: 0.1754 c. M: 0.2964 c. 1201: 215 81 197 198 99 203 208 N SD: 0.1416 c. M: 0.2276 c. 1218: 218 82 200 201 100 206 211 N SD: 0.1382 c. M: 0.3568 c. 1317: 236 89 216 217 108 223 228 N SD: 0.1648 c. M:-0.2596 c. 1329: 238 90 218 219 109 225 230 N SD: 0.1797 c. M:-0.3234 c. 1334: 239 90 219 220 109 226 231 N SD: 0.1742 c. M:-0.2747 c. 1352: 242 91 222 223 111 229 234 N SD: 0.1651 c. M: 0.3612 c. 1362: 244 92 223 225 112 230 236 N SD: 0.1603 c. M:-0.3041 c. 1379: 247 93 226 228 113 233 239 N SD: 0.1499 c. M:-0.2832 c. 1408: 252 95 231 232 116 238 244 N SD: 0.1453 c. M: 0.3113 c. 1420: 254 96 233 234 117 240 246 N SD: 0.1337 c. M: 0.2297 c. 1425: 255 96 234 235 117 241 247 N SD: 0.1506 c. M: 0.3444 c. 1437: 257 97 236 237 118 243 249 N SD: 0.1371 c. M: 0.3074 c. 1496: 268 101 245 247 123 253 259 N SD: 0.1277 c. M:-0.1824 c. 1513: 271 102 248 250 124 256 262 N SD: 0.1100 c. M:-0.1607 c. 1598: 286 108 262 264 131 270 277 N SD: 0.1080 c. M:-0.2114 c. 1703: 305 115 279 281 140 288 295 N SD: 0.0855 c. M: 0.1363 c. 1715: 307 116 281 283 141 290 297 N SD: 0.0740 c. M:-0.1479 c. 1720: 308 116 282 284 141 291 298 N SD: 0.0763 c. M: 0.1207 c. 1732: 310 117 284 286 142 293 300 N SD: 0.0594 c. M:-0.1099 c. 1922: 344 130 315 317 158 325 333 N SD: 0.0581 c. M: 0.1215 c. 1939: 347 131 318 320 159 328 336 N SD: 0.0560 c. M: 0.1007 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: 5.6514 cents 3 x x 4 x 5 x 6 S SD: 31.7955 cents 4 x 5 x 6 x 7:8 S SD: 23.5063 cents 5 x 6:7 x 8:9:10 S SD: 19.7091 cents 6 x 7:8:9 x 11:12 SD: 13.0804 cents 7:8 x 9:10:11:12:14 S SD: 18.6059 cents 8:9:10:11:12:13:14:16 S SD: 17.5197 cents 9:10:11:12:13:14:16:18 S SD: 12.1637 cents 10:11:12:13:15:16:18:20 SD: 10.8112 cents 12 x 14:16:18:19:21:24 SD: 6.6345 cents 13:15 x 17:19:21:23:26 SD: 11.4602 cents 14:16:17:19:21:22:25:28 SD: 8.4391 cents 15:17:18:20:22:24:27:30 SD: 7.0501 cents 16:18:19:21:24:25:28:32 SD: 5.6114 cents 21:24:25:28:31:33:37:42 SD: 3.9864 cents 22:25:26:29:33:35:39:44 SD: 3.6146 cents 31:35:37:41:46:49:55:62 SD: 2.3563 cents 43:49:51:57:64:68:76:86 SD: 2.0807 cents 45:51:53:60:67:71:80:90 SD: 2.0730 cents 53:60:63:70:79:84:94:106 SD: 2.0180 cents 54:61:64:72:80:85:96:108 SD: 1.9162 cents 59:67:70:78:88:93:105:118 SD: 1.7724 cents 61:69:72:81:91:96:108:122 SD: 1.5246 cents 69:78:82:92:103:109:122:138 SD: 1.3414 cents 75:85:89:100:112:118:133:150 SD: 1.1616 cents 76:86:90:101:113:120:135:152 SD: 0.8548 cents 106:120:126:141:158:167:188:212 SD: 0.5976 cents 128:145:152:170:191:202:227:256 SD: 0.4833 cents 173:196:205:230:258:273:307:346 SD: 0.4276 cents 182:206:216:242:271:287:323:364 SD: 0.2928 cents 204:231:242:271:304:322:362:408 SD: 0.2464 cents 279:316:331:371:416:440:495:558 SD: 0.2224 cents 310:351:368:412:462:489:550:620 SD: 0.1664 cents 371:420:440:493:553:585:658:742 SD: 0.1608 cents 455:515:540:605:678:718:807:910 SD: 0.1590 cents 483:547:573:642:720:762:857:966 SD: 0.1487 cents 516:584:612:686:769:814:915:1032 SD: 0.1291 cents 553:626:656:735:824:872:981:1106 SD: 0.1135 cents