Scala analysis: CD14_12_Algeria
Ô ami - 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: 298.122 cents 298.122443 2: 508.488 cents 508.488164 3: 615.221 cents 615.220875 4: 689.593 cents 689.593312 5: 784.582 cents 784.581876 6: 1000.619 cents 1000.618592 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 199.3814 cents 199.3814 1: 298.1224 cents 298.1224 2: 210.3657 cents 210.3657 3: 106.7327 cents 106.7327 4: 74.3724 cents 74.3724 5: 94.9886 cents 94.9886 6: 216.0367 cents 216.0367 7: 199.3814 cents 199.3814
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 74.37244 cents 1: 1 94.98856 cents 1: 1 106.73271 cents 1: 1 199.38141 cents 1: 1 210.36572 cents 1: 1 216.03672 cents 1: 1 298.12244 cents 2: 1 169.36100 cents 2: 1 181.10515 cents 2: 1 311.02528 cents 2: 1 317.09843 cents 2: 1 415.41812 cents 2: 1 497.50385 cents 2: 1 508.48816 cents 3: 1 276.09371 cents 3: 1 385.39772 cents 3: 1 391.47087 cents 3: 1 510.40669 cents 3: 1 615.22087 cents 3: 1 707.86957 cents 3: 1 713.54057 cents 4: 1 486.45943 cents 4: 1 492.13043 cents 4: 1 584.77913 cents 4: 1 689.59331 cents 4: 1 808.52913 cents 4: 1 814.60228 cents 4: 1 923.90629 cents 5: 1 691.51184 cents 5: 1 702.49615 cents 5: 1 784.58188 cents 5: 1 882.90157 cents 5: 1 888.97472 cents 5: 1 1018.89485 cents 5: 1 1030.63900 cents 6: 1 901.87756 cents 6: 1 983.96328 cents 6: 1 989.63428 cents 6: 1 1000.61859 cents 6: 1 1093.26729 cents 6: 1 1105.01144 cents 6: 1 1125.62756 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 : 298.1 508.5 615.2 689.6 784.6 1000.6 1200.0 298.1 : 210.4 317.1 391.5 486.5 702.5 901.9 1200.0 508.5 : 106.7 181.1 276.1 492.1 691.5 989.6 1200.0 615.2 : 74.4 169.4 385.4 584.8 882.9 1093.3 1200.0 689.6 : 95.0 311.0 510.4 808.5 1018.9 1125.6 1200.0 784.6 : 216.0 415.4 713.5 923.9 1030.6 1105.0 1200.0 1000.6: 199.4 497.5 707.9 814.6 889.0 984.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 74.3724 .. 298.1224 cents 223.75001 cents 74.37244 cents 2: 169.3610 .. 508.4882 cents 339.12716 cents -128.76144 cents 3: 276.0937 .. 713.5406 cents 437.44685 cents -232.39445 cents 4: 486.4594 .. 923.9063 cents 437.44685 cents -227.08113 cents 5: 691.5118 .. 1030.6390 cents 339.12716 cents -232.39445 cents 6: 901.8776 .. 1125.6276 cents 223.75001 cents -128.76144 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 74.37244 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 298.12244 cents Average / Smallest step : 2.305001 Largest / Average step : 1.739048 Largest / Smallest step : 4.008507 Median interval of one step : 199.38141 cents, amount: 1 Least squares average step : 173.18397 cents, oct.: 1212.28778 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GECABFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.91852 cents Scale diversity : 1.609124 Lumma stability : 0.123954 Lumma impropriety factor : 0.717732 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 : 1.91852 cents Number of recognisable fifths : 5, average 701.0023 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 2 1 1 0 1 1 1 N T3 SD: 43.2032 c. M:-72.5610 c. 8: 2 1 1 1 0 2 1 N SD: 39.5320 c. M:-60.4067 c. 9: 2 2 1 0 1 2 1 N SD: 36.6043 c. M:-66.0481 c. 11: 3 2 1 0 1 2 2 N SD: 28.7432 c. M:-39.3246 c. 12: 3 2 1 1 1 2 2 N SD: 9.6633 c. M:-15.4181 c. 23: 6 4 2 1 2 4 4 N SD: 10.2495 c. M:-14.9210 c. 28: 7 5 2 2 2 5 5 N SD: 9.8489 c. M: 15.2209 c. 29: 7 5 3 2 2 5 5 N SD: 8.4105 c. M:-13.8550 c. 31: 8 5 3 2 2 6 5 N SD: 7.2880 c. M:-11.5550 c. 35: 9 6 3 2 3 6 6 N SD: 5.5749 c. M:-10.4490 c. 37: 9 7 3 2 3 7 6 N SD: 6.3523 c. M:-10.4308 c. 43: 11 7 4 3 3 8 7 N SD: 5.4733 c. M:-8.8543 c. 47: 12 8 4 3 4 8 8 N SD: 4.6354 c. M:-8.2605 c. 49: 12 9 4 3 4 9 8 N SD: 3.5527 c. M:-5.7976 c. 61: 15 11 5 4 5 11 10 N SD: 2.9444 c. M: 5.3848 c. 78: 19 14 7 5 6 14 13 N SD: 2.4560 c. M: 5.8148 c. 80: 20 14 7 5 6 15 13 N SD: 2.5695 c. M: 4.5819 c. 92: 23 16 8 6 7 17 15 N SD: 2.0367 c. M:-3.7292 c. 101: 25 18 9 6 8 18 17 N SD: 1.7279 c. M:-2.6009 c. 113: 28 20 10 7 9 20 19 N SD: 1.2189 c. M: 2.3885 c. 144: 36 25 13 9 11 26 24 N SD: 1.3027 c. M:-2.0734 c. 162: 40 29 14 10 13 29 27 N SD: 1.2885 c. M:-2.6229 c. 174: 43 31 15 11 14 31 29 N SD: 1.2524 c. M:-1.8567 c. 193: 48 34 17 12 15 35 32 N SD: 0.7454 c. M:-1.3564 c. 205: 51 36 18 13 16 37 34 N SD: 0.6076 c. M:-1.1384 c. 318: 79 56 28 20 25 57 53 N SD: 0.5787 c. M:-0.9727 c. 355: 88 62 32 22 28 64 59 N SD: 0.6157 c. M: 1.4459 c. 378: 94 66 34 23 30 68 63 N SD: 0.5209 c. M: 0.7044 c. 390: 97 68 35 24 31 70 65 N SD: 0.4294 c. M: 0.7959 c. 439: 109 77 39 27 35 79 73 N SD: 0.3094 c. M: 0.7550 c. 451: 112 79 40 28 36 81 75 N SD: 0.3371 c. M: 0.5867 c. 531: 132 93 47 33 42 96 88 N SD: 0.3476 c. M: 0.5316 c. 548: 136 96 49 34 43 99 91 N SD: 0.3332 c. M: 0.6403 c. 552: 137 97 49 34 44 99 92 N SD: 0.3313 c. M: 0.6186 c. 583: 145 102 52 36 46 105 97 N SD: 0.2317 c. M: 0.3623 c. 595: 148 104 53 37 47 107 99 N SD: 0.2110 c. M:-0.3650 c. 644: 160 113 57 40 51 116 107 N SD: 0.1591 c. M: 0.3140 c. 1034: 257 181 92 64 82 186 172 N SD: 0.1587 c. M: 0.2317 c. 1100: 273 193 98 68 87 198 183 N SD: 0.1862 c. M: 0.3043 c. 1112: 276 195 99 69 88 200 185 N SD: 0.1723 c. M: 0.2807 c. 1192: 296 209 106 74 94 215 198 N SD: 0.1561 c. M: 0.3537 c. 1199: 298 210 107 74 95 216 199 N SD: 0.1499 c. M:-0.2921 c. 1211: 301 212 108 75 96 218 201 N SD: 0.1521 c. M:-0.2241 c. 1227: 305 215 109 76 97 221 204 N SD: 0.1294 c. M: 0.2298 c. 1239: 308 217 110 77 98 223 206 N SD: 0.1203 c. M: 0.2088 c. 1305: 324 229 116 81 103 235 217 N SD: 0.1277 c. M: 0.2141 c. 1317: 327 231 117 82 104 237 219 N SD: 0.1333 c. M: 0.1867 c. 1404: 349 246 125 87 111 253 233 N SD: 0.1404 c. M:-0.2361 c. 1510: 375 265 134 94 119 272 251 N SD: 0.1399 c. M: 0.2110 c. 1517: 377 266 135 94 120 273 252 N SD: 0.1342 c. M:-0.2043 c. 1638: 407 287 146 101 130 295 272 N SD: 0.1157 c. M: 0.2160 c. 1650: 410 289 147 102 131 297 274 N SD: 0.1028 c. M:-0.1454 c. 1756: 436 308 156 109 139 316 292 N SD: 0.1225 c. M: 0.1867 c. 1763: 438 309 157 109 140 317 293 N SD: 0.0981 c. M:-0.2168 c. 1843: 458 323 164 114 146 332 306 N SD: 0.0748 c. M:-0.1410 c. 1855: 461 325 165 115 147 334 308 N SD: 0.0764 c. M:-0.1361 c. 1956: 486 343 174 121 155 352 325 N SD: 0.0678 c. M:-0.1165 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: 6.1808 cents 3 x 4 x x 5 x 6 S SD: 33.4406 cents 4:5 x x 6 x 7:8 S SD: 23.6396 cents 5:6 x 7 x 8:9:10 S SD: 10.0241 cents 6:7:8 x 9 x 11:12 SD: 12.0242 cents 7:8:9:10 x 11:12:14 S SD: 20.0240 cents 8:10:11 x 12:13:14:16 S SD: 19.6537 cents 9:11:12:13 x 14:16:18 SD: 9.7228 cents 11:13:15:16 x 17:20:22 SD: 10.7349 cents 12:14:16:17:18:19:21:24 SD: 7.1701 cents 13:15:17 x 19:20:23:26 SD: 14.1556 cents 14:17:19:20:21:22:25:28 SD: 6.4285 cents 17:20:23:24:25:27:30:34 SD: 6.1935 cents 21:25:28:30:31:33:37:42 SD: 3.9639 cents 26:31:35:37:39:41:46:52 SD: 2.9685 cents 33:39:44:47:49:52:59:66 SD: 2.3019 cents 47:56:63:67:70:74:84:94 SD: 1.0484 cents 59:70:79:84:88:93:105:118 SD: 1.0272 cents 70:83:94:100:104:110:125:140 SD: 1.0221 cents 96:114:129:137:143:151:171:192 SD: 0.4819 cents 129:153:173:184:192:203:230:258 SD: 0.4379 cents 143:170:192:204:213:225:255:286 SD: 0.3188 cents 176:209:236:251:262:277:314:352 SD: 0.3139 cents 202:240:271:288:301:318:360:404 SD: 0.2639 cents 272:323:365:388:405:428:485:544 SD: 0.1756 cents 410:487:550:585:611:645:731:820 SD: 0.1720 cents 431:512:578:615:642:678:768:862 SD: 0.1162 cents 478:568:641:682:712:752:852:956 SD: 0.1134 cents 548:651:735:782:816:862:977:1096 SD: 0.1089 cents 574:682:770:819:855:903:1023:1148 SD: 0.0758 cents