Scala analysis: CD14_08_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: 348.359 cents 348.358671 2: 552.408 cents 552.408140 3: 753.477 cents 753.476521 4: 848.304 cents 848.303877 5: 1051.059 cents 1051.058902 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 148.9411 cents 148.9411 1: 348.3587 cents 348.3587 2: 204.0495 cents 204.0495 3: 201.0684 cents 201.0684 4: 94.8274 cents 94.8274 5: 202.7550 cents 202.7550 6: 148.9411 cents 148.9411
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 94.82736 cents 1: 1 148.94110 cents 1: 1 201.06838 cents 1: 1 202.75502 cents 1: 1 204.04947 cents 1: 1 348.35867 cents 2: 1 295.89574 cents 2: 1 297.58238 cents 2: 1 351.69612 cents 2: 1 405.11785 cents 2: 1 497.29977 cents 2: 1 552.40814 cents 3: 1 446.52348 cents 3: 1 498.65076 cents 3: 1 499.94521 cents 3: 1 700.05479 cents 3: 1 701.34924 cents 3: 1 753.47652 cents 4: 1 647.59186 cents 4: 1 702.70023 cents 4: 1 794.88215 cents 4: 1 848.30388 cents 4: 1 902.41762 cents 4: 1 904.10426 cents 5: 1 851.64133 cents 5: 1 995.95053 cents 5: 1 997.24498 cents 5: 1 998.93162 cents 5: 1 1051.05890 cents 5: 1 1105.17264 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 348.4 552.4 753.5 848.3 1051.1 1200.0 348.4 : 204.0 405.1 499.9 702.7 851.6 1200.0 552.4 : 201.1 295.9 498.7 647.6 996.0 1200.0 753.5 : 94.8 297.6 446.5 794.9 998.9 1200.0 848.3 : 202.8 351.7 700.1 904.1 1105.2 1200.0 1051.1: 148.9 497.3 701.3 902.4 997.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 94.8274 .. 348.3587 cents 253.53132 cents 94.82736 cents 2: 295.8957 .. 552.4081 cents 256.51240 cents -52.46293 cents 3: 446.5235 .. 753.4765 cents 306.95304 cents -105.88466 cents 4: 647.5919 .. 904.1043 cents 256.51240 cents -105.88466 cents 5: 851.6413 .. 1105.1726 cents 253.53132 cents -52.46293 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 94.82736 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 348.35867 cents Average / Smallest step : 2.109096 Largest / Average step : 1.741793 Largest / Smallest step : 3.673609 Median interval of one step : 201.91170 cents, amount: 0 Least squares average step : 214.96829 cents, oct.: 1289.80975 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FECADB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.35099 cents Scale diversity : 1.611717 Lumma stability : 0.158046 Lumma impropriety factor : 0.263913 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.29444 cents Number of recognisable fifths : 3, average 701.3681 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 2 1 1 0 1 1 N D3 SD: 44.7894 c. M:-51.6413 c. 7: 2 1 1 1 1 1 P M ME SD: 33.3145 c. M: 67.7622 c. 10: 3 2 1 1 2 1 N SD: 27.1653 c. M:-47.5919 c. 11: 3 2 2 1 2 1 N SD: 21.5280 c. M:-39.8502 c. 13: 4 2 2 1 2 2 N D3 SD: 19.3360 c. M: 35.6743 c. 17: 5 3 3 1 3 2 N SD: 11.2753 c. M:-22.9941 c. 18: 5 3 3 2 3 2 N SD: 16.2078 c. M: 20.1432 c. 21: 6 4 3 2 3 3 N SD: 13.4699 c. M: 22.4875 c. 24: 7 4 4 2 4 3 N SD: 2.0239 c. M: 3.4765 c. 65: 19 11 11 5 11 8 N SD: 1.9225 c. M:-3.4466 c. 89: 26 15 15 7 15 11 N SD: 1.2375 c. M:-2.2031 c. 113: 33 19 19 9 19 14 N SD: 1.0231 c. M:-2.0838 c. 137: 40 23 23 11 23 17 N SD: 1.0145 c. M:-2.0063 c. 161: 47 27 27 13 27 20 N SD: 1.0756 c. M:-1.9519 c. 185: 54 31 31 15 31 23 N SD: 1.1515 c. M:-1.9116 c. 202: 59 34 34 16 34 25 N SD: 1.0917 c. M:-2.1364 c. 204: 59 35 34 16 35 25 N SD: 1.1071 c. M:-1.8823 c. 209: 61 35 35 17 35 26 N SD: 1.2245 c. M:-1.8806 c. 215: 62 37 36 17 36 27 N SD: 1.1874 c. M: 2.3122 c. 217: 63 37 36 17 37 27 N SD: 1.1091 c. M: 2.2209 c. 218: 63 37 37 17 37 27 N SD: 1.0914 c. M: 1.9494 c. 228: 66 39 38 18 39 28 N SD: 0.9213 c. M:-1.5727 c. 248: 72 42 42 19 42 31 N SD: 0.9958 c. M: 1.5297 c. 252: 73 43 42 20 43 31 N SD: 0.8129 c. M:-1.3221 c. 272: 79 46 46 21 46 34 N SD: 0.8616 c. M: 1.2451 c. 276: 80 47 46 22 47 34 N SD: 0.7645 c. M: 1.3026 c. 280: 81 48 47 22 47 35 N SD: 0.7668 c. M: 1.2158 c. 282: 82 48 47 22 48 35 N SD: 0.7376 c. M: 1.4954 c. 293: 85 50 49 23 50 36 N SD: 0.6874 c. M:-1.5008 c. 296: 86 50 50 23 50 37 N SD: 0.7820 c. M: 1.0589 c. 300: 87 51 50 24 51 37 N SD: 0.7587 c. M: 1.4765 c. 304: 88 52 51 24 51 38 N SD: 0.6478 c. M: 1.0589 c. 317: 92 54 53 25 54 39 N SD: 0.5693 c. M:-1.3070 c. 330: 96 56 55 26 56 41 N SD: 0.6171 c. M: 1.0311 c. 341: 99 58 57 27 58 42 N SD: 0.5018 c. M:-1.1405 c. 354: 103 60 59 28 60 44 N SD: 0.6167 c. M: 0.9341 c. 355: 103 60 60 28 60 44 N SD: 0.6097 c. M: 1.4222 c. 365: 106 62 61 29 62 45 N SD: 0.4801 c. M:-0.9959 c. 385: 112 65 65 30 65 48 N SD: 0.6349 c. M:-0.8092 c. 389: 113 66 65 31 66 48 N SD: 0.4936 c. M:-0.8691 c. 393: 114 67 66 31 66 49 N SD: 0.4872 c. M:-0.7220 c. 406: 118 69 68 32 69 50 N SD: 0.5240 c. M:-1.1578 c. 417: 121 71 70 33 70 52 N SD: 0.4353 c. M: 0.6992 c. 430: 125 73 72 34 73 53 N SD: 0.4701 c. M:-1.0341 c. 441: 128 75 74 35 74 55 N SD: 0.4179 c. M: 0.7188 c. 526: 153 89 88 42 89 65 N SD: 0.5044 c. M:-0.6908 c. 530: 154 90 89 42 89 66 N SD: 0.4378 c. M:-0.7527 c. 532: 154 91 89 42 90 66 N SD: 0.4238 c. M: 0.9902 c. 548: 159 93 92 43 93 68 N SD: 0.4377 c. M: 0.8586 c. 554: 161 94 93 44 93 69 N SD: 0.4364 c. M:-0.7936 c. 556: 161 95 93 44 94 69 N SD: 0.3761 c. M: 0.8767 c. 562: 163 96 94 44 95 70 N SD: 0.4480 c. M: 0.6170 c. 565: 164 96 95 44 96 70 N SD: 0.4330 c. M: 0.8702 c. 572: 166 97 96 45 97 71 N SD: 0.4321 c. M: 0.7514 c. 573: 166 98 96 45 97 71 N SD: 0.4117 c. M: 0.7147 c. 580: 168 99 97 46 98 72 N SD: 0.3505 c. M: 0.7725 c. 586: 170 100 98 46 99 73 N SD: 0.3834 c. M: 0.5470 c. 589: 171 100 99 46 100 73 N SD: 0.3726 c. M: 0.7657 c. 597: 173 102 100 47 101 74 N SD: 0.3264 c. M: 0.6200 c. 604: 175 103 101 48 102 75 N SD: 0.3460 c. M: 0.6766 c. 610: 177 104 102 48 103 76 N SD: 0.3371 c. M: 0.5671 c. 613: 178 104 103 48 104 76 N SD: 0.3310 c. M: 0.6693 c. 621: 180 106 104 49 105 77 N SD: 0.2547 c. M: 0.5326 c. 645: 187 110 108 51 109 80 N SD: 0.2009 c. M: 0.4517 c. 669: 194 114 112 53 113 83 N SD: 0.1722 c. M: 0.3766 c. 693: 201 118 116 55 117 86 N SD: 0.1736 c. M: 0.3067 c. 734: 213 125 123 58 124 91 N SD: 0.1618 c. M:-0.2020 c. 758: 220 129 127 60 128 94 N SD: 0.1284 c. M:-0.2449 c. 782: 227 133 131 62 132 97 N SD: 0.1250 c. M:-0.2895 c. 1088: 316 185 182 86 184 135 N SD: 0.1334 c. M:-0.1707 c. 1306: 379 222 219 103 221 162 N SD: 0.1330 c. M: 0.2181 c. 1368: 397 233 229 108 231 170 N SD: 0.1292 c. M:-0.2234 c. 1371: 398 233 230 108 232 170 N SD: 0.1140 c. M: 0.1638 c. 1395: 405 237 234 110 236 173 N SD: 0.1010 c. M: 0.1501 c. 1419: 412 241 238 112 240 176 N SD: 0.0997 c. M: 0.1883 c. 1505: 437 256 252 119 254 187 N SD: 0.0999 c. M: 0.1619 c. 1723: 500 293 289 136 291 214 N SD: 0.0905 c. M: 0.1288 c. 1733: 503 295 290 137 293 215 N SD: 0.0893 c. M:-0.1597 c. 1747: 507 297 293 138 295 217 N SD: 0.0891 c. M: 0.1471 c. 1757: 510 299 294 139 297 218 N SD: 0.0844 c. M: 0.1470 c. 1812: 526 308 304 143 306 225 N SD: 0.0835 c. M:-0.1659 c. 1822: 529 310 305 144 308 226 N SD: 0.0827 c. M:-0.1714 c. 1836: 533 312 308 145 310 228 N SD: 0.0802 c. M: 0.1206 c. 1846: 536 314 309 146 312 229 N SD: 0.0758 c. M:-0.1379 c. 1870: 543 318 313 148 316 232 N SD: 0.0779 c. M: 0.1075 c. 2064: 599 351 346 163 349 256 N SD: 0.0715 c. M:-0.1039 c. 2088: 606 355 350 165 353 259 N SD: 0.0690 c. M: 0.1093 c. 2153: 625 366 361 170 364 267 N SD: 0.0653 c. M:-0.1255 c. 2177: 632 370 365 172 368 270 N SD: 0.0610 c. M:-0.1124 c. 2198: 638 374 368 174 371 273 N SD: 0.0777 c. M:-0.1038 c. 2201: 639 374 369 174 372 273 N SD: 0.0647 c. M: 0.1137 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 25.7608 cents 3 x 4 x 5 x 6 S SD: 21.7442 cents 4:5 x 6 x 7:8 S SD: 26.0496 cents 5:6:7 x 8:9:10 S SD: 13.1070 cents 7:9:10:11 x 13:14 SD: 22.8252 cents 8:10:11:12:13:15:16 SD: 12.4066 cents 11:13:15:17:18:20:22 SD: 10.5593 cents 13:16:18:20:21:24:26 SD: 4.5228 cents 22:27:30:34:36:40:44 SD: 3.9217 cents 24:29:33:37:39:44:48 SD: 3.7684 cents 27:33:37:42:44:50:54 SD: 3.4741 cents 31:38:43:48:51:57:62 SD: 3.4256 cents 32:39:44:49:52:59:64 SD: 3.3847 cents 35:43:48:54:57:64:70 SD: 2.0909 cents 53:65:73:82:87:97:106 SD: 2.0343 cents 54:66:74:83:88:99:108 SD: 2.0159 cents 55:67:76:85:90:101:110 SD: 1.8279 cents 59:72:81:91:96:108:118 SD: 1.5602 cents 66:81:91:102:108:121:132 SD: 1.4247 cents 72:88:99:111:118:132:144 SD: 1.3953 cents 77:94:106:119:126:141:154 SD: 1.0839 cents 85:104:117:131:139:156:170 SD: 0.9558 cents 90:110:124:139:147:165:180 SD: 0.5692 cents 117:143:161:181:191:215:234 SD: 0.5287 cents 139:170:191:215:227:255:278 SD: 0.4892 cents 152:186:209:235:248:279:304 SD: 0.3283 cents 207:253:285:320:338:380:414 SD: 0.3076 cents 229:280:315:354:374:420:458 SD: 0.2620 cents 242:296:333:374:395:444:484 SD: 0.0995 cents