Scala analysis: CD14_19_Algeria
Les violettes embaument - L'ensemble d'Al-'Arabî Ben Sârî (sikah, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 95.634 cents 95.634087 2: 294.501 cents 294.501092 3: 449.633 cents 449.633318 4: 783.532 cents 783.531730 5: 991.822 cents 991.821701 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.1783 cents 208.1783 1: 95.6341 cents 95.6341 2: 198.8670 cents 198.8670 3: 155.1322 cents 155.1322 4: 333.8984 cents 333.8984 5: 208.2900 cents 208.2900 6: 208.1783 cents 208.1783
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.63409 cents 1: 1 155.13223 cents 1: 1 198.86700 cents 1: 1 208.17830 cents 1: 1 208.28997 cents 1: 1 333.89841 cents 2: 1 294.50109 cents 2: 1 303.81239 cents 2: 1 353.99923 cents 2: 1 416.46827 cents 2: 1 489.03064 cents 2: 1 542.18838 cents 3: 1 449.63332 cents 3: 1 502.67939 cents 3: 1 512.10236 cents 3: 1 687.89764 cents 3: 1 697.32061 cents 3: 1 750.36668 cents 4: 1 657.81162 cents 4: 1 710.96936 cents 4: 1 783.53173 cents 4: 1 846.00077 cents 4: 1 896.18761 cents 4: 1 905.49891 cents 5: 1 866.10159 cents 5: 1 991.71003 cents 5: 1 991.82170 cents 5: 1 1001.13299 cents 5: 1 1044.86777 cents 5: 1 1104.36591 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 : 95.6 294.5 449.6 783.5 991.8 1200.0 95.6 : 198.9 354.0 687.9 896.2 1104.4 1200.0 294.5 : 155.1 489.0 697.3 905.5 1001.1 1200.0 449.6 : 333.9 542.2 750.4 846.0 1044.9 1200.0 783.5 : 208.3 416.5 512.1 711.0 866.1 1200.0 991.8 : 208.2 303.8 502.7 657.8 991.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.6341 .. 333.8984 cents 238.26432 cents 95.63409 cents 2: 294.5011 .. 542.1884 cents 247.68729 cents -39.39732 cents 3: 449.6333 .. 750.3667 cents 300.73336 cents -92.55507 cents 4: 657.8116 .. 905.4989 cents 247.68729 cents -92.55507 cents 5: 866.1016 .. 1104.3659 cents 238.26432 cents -39.39732 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 95.63409 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 333.89841 cents Average / Smallest step : 2.091305 Largest / Average step : 1.669492 Largest / Smallest step : 3.491416 Median interval of one step : 203.52265 cents, amount: 0 Least squares average step : 190.40408 cents, oct.: 1142.42450 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ACBFED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.64875 cents Scale diversity : 1.642764 Lumma stability : 0.159390 Lumma impropriety factor : 0.219921 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 : 0.11167 cents Number of recognisable fifths : 3, average 698.7292 cents Number of appreciable fifths : 2, average 704.1450 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 2 1 1 N D3 SD: 58.9885 c. M: 95.6341 c. 8: 1 1 1 2 2 1 N D3 S SD: 35.3438 c. M:-58.1783 c. 11: 1 2 1 3 2 2 N SD: 17.9213 c. M:-32.7716 c. 16: 1 3 2 4 3 3 N SD: 17.6233 c. M: 33.5317 c. 17: 1 3 2 5 3 3 N SD: 15.9113 c. M: 26.1039 c. 21: 2 3 3 6 3 4 N SD: 13.9557 c. M: 20.3931 c. 23: 2 4 3 6 4 4 N SD: 11.6773 c. M:-19.9319 c. 24: 2 4 3 7 4 4 N SD: 8.0366 c. M:-16.4683 c. 29: 2 5 4 8 5 5 N SD: 6.1744 c. M: 12.8755 c. 34: 3 5 5 9 6 6 N SD: 8.1628 c. M: 12.1482 c. 35: 3 6 4 10 6 6 N SD: 7.0353 c. M:-14.0703 c. 37: 3 6 5 10 7 6 N SD: 6.3271 c. M:-13.5837 c. 40: 3 7 5 11 7 7 N SD: 3.6034 c. M: 5.6341 c. 64: 5 11 8 18 11 11 N SD: 2.9829 c. M:-5.4989 c. 74: 6 12 10 20 13 13 N SD: 3.2302 c. M: 5.1534 c. 75: 6 12 10 21 13 13 N SD: 2.7482 c. M: 6.5011 c. 86: 7 14 11 24 15 15 N SD: 1.9113 c. M: 3.1217 c. 98: 8 16 13 27 17 17 N SD: 1.7110 c. M:-3.4279 c. 110: 9 18 14 31 19 19 N SD: 1.6625 c. M:-2.5477 c. 115: 9 19 15 32 20 20 N SD: 1.3151 c. M: 2.3272 c. 138: 11 23 18 38 24 24 N SD: 1.2179 c. M:-2.5406 c. 139: 11 23 18 39 24 24 N SD: 1.0957 c. M:-2.0798 c. 150: 12 25 19 42 26 26 N SD: 0.9398 c. M: 1.6333 c. 179: 14 30 23 50 31 31 N SD: 0.8582 c. M: 1.7793 c. 213: 17 35 28 59 37 37 N SD: 0.7969 c. M: 1.5433 c. 224: 18 37 29 62 39 39 N SD: 0.7391 c. M: 1.3889 c. 237: 19 39 31 66 41 41 N SD: 0.8151 c. M:-1.2784 c. 248: 20 41 32 69 43 43 N SD: 0.5771 c. M:-1.1401 c. 253: 20 42 33 70 44 44 N SD: 0.6858 c. M:-0.9596 c. 265: 21 44 34 74 46 46 N SD: 0.5949 c. M: 1.3314 c. 277: 22 46 36 77 48 48 N SD: 0.4718 c. M:-0.9082 c. 363: 29 60 47 101 63 63 N SD: 0.1580 c. M: 0.2862 c. 766: 61 127 99 213 133 133 N SD: 0.1265 c. M: 0.2419 c. 905: 72 150 117 252 157 157 N SD: 0.1124 c. M: 0.1645 c. 1043: 83 173 135 290 181 181 N SD: 0.1122 c. M:-0.2229 c. 1129: 90 187 146 314 196 196 N SD: 0.1031 c. M: 0.1836 c. 1153: 92 191 149 321 200 200 N SD: 0.0841 c. M:-0.1630 c. 1406: 112 233 182 391 244 244 N SD: 0.0753 c. M:-0.1533 c. 1516: 121 251 196 422 263 263 N SD: 0.0768 c. M:-0.1443 c. 1556: 124 258 201 433 270 270 N SD: 0.0466 c. M:-0.1005 c. 1919: 153 318 248 534 333 333 N SD: 0.0317 c. M: 0.0552 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 40.7884 cents 3 x x 4:5 x 6 S SD: 37.2824 cents 4 x x 5:6:7:8 S SD: 26.4492 cents 5 x 6:7:8:9:10 S SD: 28.0552 cents 6 x 7:8:9:11:12 SD: 22.8673 cents 7 x 8:9:11:12:14 SD: 17.5133 cents 8 x 9:10:13:14:16 SD: 25.2931 cents 9:10:11:12:14:16:18 S SD: 19.0296 cents 10:11:12:13:16:18:20 SD: 13.7979 cents 11:12:13:14:17:20:22 SD: 13.7871 cents 12:13:14:16:19:21:24 SD: 12.4992 cents 13:14:15:17:20:23:26 SD: 11.6829 cents 14:15:17:18:22:25:28 SD: 8.5895 cents 16:17:19:21:25:28:32 SD: 5.7515 cents 17:18:20:22:27:30:34 SD: 3.9751 cents 31:33:37:40:49:55:62 SD: 3.5402 cents 33:35:39:43:52:59:66 SD: 3.1315 cents 37:39:44:48:58:66:74 SD: 2.2444 cents 53:56:63:69:83:94:106 SD: 1.8382 cents 54:57:64:70:85:96:108 SD: 0.8517 cents 119:126:141:154:187:211:238 SD: 0.8090 cents 124:131:147:161:195:220:248 SD: 0.4373 cents 226:239:268:293:355:401:452 SD: 0.3957 cents 243:257:288:315:382:431:486 SD: 0.2516 cents 297:314:352:385:467:527:594 SD: 0.2215 cents 334:353:396:433:525:592:668 SD: 0.1916 cents 367:388:435:476:577:651:734 SD: 0.1745 cents 388:410:460:503:610:688:776 SD: 0.0756 cents