Scala analysis: xen13-mclaren-log-factorial-1
Log factorial scale #1
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 296.025 cents 296.025000 2: 444.169 cents 444.169000 3: 744.591 cents 744.591000 4: 945.192 cents 945.192000 5: 1644.170 cents 1644.170000
SHOW/INTERVAL
0: 698.9780 cents 698.9780 1: 296.0250 cents 296.0250 2: 148.1440 cents 148.1440 3: 300.4220 cents 300.4220 4: 200.6010 cents 200.6010 5: 698.9780 cents 698.9780
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 148.14400 cents 1: 1 200.60100 cents 1: 1 296.02500 cents 1: 1 300.42200 cents 1: 1 698.97800 cents 2: 1 444.16900 cents 2: 1 448.56600 cents 2: 1 501.02300 cents 2: 1 899.57900 cents 2: 1 995.00300 cents 3: 1 649.16700 cents 3: 1 744.59100 cents 3: 1 1143.14700 cents 3: 1 1195.60400 cents 3: 1 1200.00100 cents 4: 1 945.19200 cents 4: 1 1343.74800 cents 4: 1 1348.14500 cents 4: 1 1443.56900 cents 4: 1 1496.02600 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 296.0 444.2 744.6 945.2 1644.2 296.0 : 148.1 448.6 649.2 1348.1 1644.2 444.2 : 300.4 501.0 1200.0 1496.0 1644.2 744.6 : 200.6 899.6 1195.6 1343.7 1644.2 945.2 : 699.0 995.0 1143.1 1443.6 1644.2 1644.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 148.1440 .. 698.9780 cents 550.83400 cents 148.14400 cents 2: 444.1690 .. 995.0030 cents 550.83400 cents -254.80900 cents 3: 649.1670 .. 1200.0010 cents 550.83400 cents -345.83600 cents 4: 945.1920 .. 1496.0260 cents 550.83400 cents -254.80900 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 148.14400 cents, class 1 Average step (divided formal octave): 328.8340 cents Largest one step interval : 698.97800 cents Average / Smallest step : 2.219692 Largest / Average step : 2.125626 Largest / Smallest step : 4.718234 Median interval of one step : 296.02500 cents, amount: 1 Least squares average step : 280.35916 cents, oct.: 1401.79582 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : CADBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 45.61300 cents Scale diversity : 0.803116 Lumma stability : 0.180205 Lumma impropriety factor : 0.459704 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 4.39700 cents Number of recognisable fifths : 1, average 698.9780 cents Number of recognisable fourths : 1, average 501.0230 cents Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 1 0 1 1 2 N T3 SD: 68.7615 c. M: 115.3350 c. 7: 1 1 1 1 3 N M DE S SD: 34.7028 c. M: 61.1436 c. 11: 2 1 2 1 5 N T3 SD: 21.7897 c. M: 48.3720 c. 15: 3 1 3 2 6 N SD: 25.8088 c. M:-41.3100 c. 16: 3 1 3 2 7 N SD: 21.4475 c. M: 33.1265 c. 18: 3 2 3 2 8 N T3 SD: 19.1937 c. M: 31.7642 c. 22: 4 2 4 3 9 N SD: 12.0756 c. M:-26.3630 c. 26: 5 2 5 3 11 N SD: 11.1656 c. M:-20.1615 c. 29: 5 3 5 4 12 N SD: 11.4004 c. M:-18.6318 c. 33: 6 3 6 4 14 N SD: 2.6908 c. M:-4.2410 c. 104: 19 9 19 13 44 N SD: 2.6445 c. M:-4.3522 c. 106: 19 10 19 13 45 N SD: 2.6318 c. M:-5.6511 c. 111: 20 10 20 14 47 N SD: 2.1776 c. M: 3.9739 c. 115: 21 10 21 14 49 N SD: 2.1205 c. M:-4.2147 c. 122: 22 11 22 15 52 N SD: 1.7417 c. M: 3.3668 c. 144: 26 13 26 18 61 N SD: 1.6781 c. M:-2.4893 c. 155: 28 14 28 19 66 N SD: 1.2884 c. M: 2.0626 c. 188: 34 17 34 23 80 N SD: 1.1938 c. M:-1.8558 c. 212: 38 19 39 26 90 N SD: 1.1938 c. M: 2.1044 c. 223: 40 20 41 27 95 N SD: 1.1447 c. M: 1.7914 c. 245: 44 22 45 30 104 N SD: 0.8137 c. M: 1.2497 c. 256: 46 23 47 31 109 N SD: 0.7371 c. M: 1.0788 c. 278: 50 25 51 34 118 N SD: 0.6354 c. M:-1.0929 c. 289: 52 26 53 35 123 N SD: 0.5113 c. M: 0.7899 c. 322: 58 29 59 39 137 N SD: 0.4793 c. M:-0.9022 c. 367: 66 33 67 45 156 N SD: 0.5227 c. M: 0.9065 c. 400: 72 36 73 49 170 N SD: 0.3072 c. M: 0.6041 c. 433: 78 39 79 53 184 N SD: 0.2212 c. M: 0.3478 c. 689: 124 62 126 84 293 N SD: 0.1803 c. M: 0.3147 c. 722: 130 65 132 88 307 N SD: 0.0832 c. M: 0.1358 c. 1155: 208 104 211 141 491 N SD: 0.0529 c. M: 0.0880 c. 1877: 338 169 343 229 798 N SD: 0.0396 c. M: 0.0591 c.
FIT/HARMONIC
1 x x x 2:3 S SD: 181.2320 cents 2 x x 3 x 5 SD: 35.9346 cents 3 x 4 x 5:8 SD: 32.4993 cents 4 x 5:6:7:10 SD: 23.8104 cents 5:6 x 8:9:13 SD: 25.6201 cents 6:7:8:9:10:16 SD: 22.0668 cents 7:8:9:11:12:18 SD: 15.4308 cents 8 x 10:12:14:21 S SD: 20.0496 cents 9:11:12:14:16:23 SD: 18.9090 cents 10:12:13:15:17:26 SD: 11.1523 cents 11:13:14:17:19:28 SD: 7.8765 cents 17:20:22:26:29:44 SD: 5.4007 cents 21:25:27:32:36:54 SD: 4.8199 cents 26:31:34:40:45:67 SD: 4.6180 cents 28:33:36:43:48:72 SD: 4.2344 cents 32:38:41:49:55:83 SD: 3.8485 cents 33:39:43:51:57:85 SD: 3.8238 cents 37:44:48:57:64:96 SD: 2.2186 cents 48:57:62:74:83:124 SD: 1.2003 cents 65:77:84:100:112:168 SD: 0.8771 cents 102:121:132:157:176:264 SD: 0.7616 cents 106:126:137:163:183:274 SD: 0.6464 cents 113:134:146:174:195:292 SD: 0.6127 cents 123:146:159:189:212:318 SD: 0.5955 cents 171:203:221:263:295:442 SD: 0.3278 cents 253:300:327:389:437:654 SD: 0.2902 cents 311:369:402:478:537:804 SD: 0.1352 cents 376:446:486:578:649:972 SD: 0.1099 cents 424:503:548:652:732:1096 SD: 0.0938 cents 482:572:623:741:832:1246 SD: 0.0789 cents