Scala analysis: xen13-mclaren-log-factorial-2
Log factorial scale #2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 448.558 cents 448.558000 2: 550.386 cents 550.386000 3: 709.348 cents 709.348000 4: 992.114 cents 992.114000 5: 1644.170 cents 1644.170000
SHOW/INTERVAL
0: 652.0560 cents 652.0560 1: 448.5580 cents 448.5580 2: 101.8280 cents 101.8280 3: 158.9620 cents 158.9620 4: 282.7660 cents 282.7660 5: 652.0560 cents 652.0560
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 101.82800 cents 1: 1 158.96200 cents 1: 1 282.76600 cents 1: 1 448.55800 cents 1: 1 652.05600 cents 2: 1 260.79000 cents 2: 1 441.72800 cents 2: 1 550.38600 cents 2: 1 934.82200 cents 2: 1 1100.61400 cents 3: 1 543.55600 cents 3: 1 709.34800 cents 3: 1 1093.78400 cents 3: 1 1202.44200 cents 3: 1 1383.38000 cents 4: 1 992.11400 cents 4: 1 1195.61200 cents 4: 1 1361.40400 cents 4: 1 1485.20800 cents 4: 1 1542.34200 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 : 448.6 550.4 709.3 992.1 1644.2 448.6 : 101.8 260.8 543.6 1195.6 1644.2 550.4 : 159.0 441.7 1093.8 1542.3 1644.2 709.3 : 282.8 934.8 1383.4 1485.2 1644.2 992.1 : 652.1 1100.6 1202.4 1361.4 1644.2 1644.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.8280 .. 652.0560 cents 550.22800 cents 101.82800 cents 2: 260.7900 .. 1100.6140 cents 839.82400 cents -391.26600 cents 3: 543.5560 .. 1383.3800 cents 839.82400 cents -557.05800 cents 4: 992.1140 .. 1542.3420 cents 550.22800 cents -391.26600 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 101.82800 cents, class 1 Average step (divided formal octave): 328.8340 cents Largest one step interval : 652.05600 cents Average / Smallest step : 3.229308 Largest / Average step : 1.982934 Largest / Smallest step : 6.403504 Median interval of one step : 282.76600 cents, amount: 1 Least squares average step : 288.48509 cents, oct.: 1442.42545 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : DABCE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.83000 cents Scale diversity : 0.848342 Lumma stability : 0.123866 Lumma impropriety factor : 0.682770 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 : 6.83000 cents Number of recognisable fifths : 1, average 709.3480 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 1 1 0 1 2 N T3 SD: 75.5587 c. M: 119.7240 c. 6: 2 0 1 1 2 N SD: 81.7691 c. M:-112.7370 c. 7: 2 0 1 1 3 N G SD: 44.1302 c. M: 80.6231 c. 10: 3 0 1 2 4 N SD: 39.9104 c. M: 57.1350 c. 11: 3 1 1 2 4 N SD: 36.4277 c. M:-54.1760 c. 12: 3 1 1 2 5 N SD: 24.8684 c. M: 37.5155 c. 15: 4 1 1 3 6 N SD: 23.7066 c. M: 51.6800 c. 18: 5 1 2 3 7 N SD: 11.7460 c. M:-21.3942 c. 26: 7 2 2 5 10 N SD: 13.8742 c. M:-19.6829 c. 30: 8 2 3 5 12 N SD: 5.4581 c. M: 10.1127 c. 48: 13 3 5 8 19 N SD: 4.8400 c. M:-9.9764 c. 51: 14 3 5 9 20 N SD: 3.6395 c. M:-7.2835 c. 63: 17 4 6 11 25 N SD: 3.2139 c. M: 4.8931 c. 81: 22 5 8 14 32 N SD: 1.8378 c. M:-2.5074 c. 144: 39 9 14 25 57 N SD: 1.9839 c. M: 3.2620 c. 146: 40 9 14 25 58 N SD: 1.1729 c. M:-1.8995 c. 176: 48 11 17 30 70 N SD: 0.9546 c. M: 1.8752 c. 197: 54 12 19 34 78 N SD: 1.0837 c. M:-2.1282 c. 209: 57 13 20 36 83 N SD: 0.7318 c. M: 1.3322 c. 227: 62 14 22 39 90 N SD: 0.3231 c. M:-0.5105 c. 436: 119 27 42 75 173 N SD: 0.2599 c. M: 0.3940 c. 517: 141 32 50 89 205 N SD: 0.1443 c. M: 0.2092 c. 744: 203 46 72 128 295 N SD: 0.0848 c. M:-0.1338 c. 1180: 322 73 114 203 468 N SD: 0.0753 c. M: 0.1255 c. 1437: 392 89 139 247 570 N SD: 0.0622 c. M: 0.1200 c. 1664: 454 103 161 286 660 N SD: 0.0581 c. M:-0.0955 c. 1924: 525 119 186 331 763 N SD: 0.0543 c. M:-0.0851 c. 1954: 533 121 189 336 775 N SD: 0.0567 c. M: 0.0855 c. 2181: 595 135 211 375 865 N SD: 0.0375 c. M: 0.0678 c.
FIT/HARMONIC
1 x x x 2:3 S SD: 165.5821 cents 2 x x 3:4:5 S SD: 71.9711 cents 3:4 x x 5:8 SD: 43.4136 cents 4:5 x 6:7:10 SD: 22.1058 cents 6:8 x 9:11:16 SD: 23.2964 cents 8:10:11:12:14:21 S SD: 14.3949 cents 9:12 x 14:16:23 SD: 19.2757 cents 10:13:14:15:18:26 SD: 8.6463 cents 12:16 x 18:21:31 SD: 13.8002 cents 13:17:18:20:23:34 SD: 9.3337 cents 14:18:19:21:25:36 SD: 6.0867 cents 21:27:29:32:37:54 SD: 5.8758 cents 24:31:33:36:43:62 SD: 3.9556 cents 27:35:37:41:48:70 SD: 3.2141 cents 34:44:47:51:60:88 SD: 3.1309 cents 37:48:51:56:66:96 SD: 3.0661 cents 40:52:55:60:71:103 SD: 2.3133 cents 48:62:66:72:85:124 SD: 1.9448 cents 53:69:73:80:94:137 SD: 1.9380 cents 57:74:78:86:101:147 SD: 1.9171 cents 61:79:84:92:108:158 SD: 1.2531 cents 67:87:92:101:119:173 SD: 1.0231 cents 75:97:103:113:133:194 SD: 0.7324 cents 115:149:158:173:204:297 SD: 0.5800 cents 128:166:176:193:227:331 SD: 0.4957 cents 142:184:195:214:252:367 SD: 0.3530 cents 176:228:242:265:312:455 SD: 0.3278 cents 203:263:279:306:360:525 SD: 0.2910 cents 243:315:334:366:431:628 SD: 0.1829 cents 318:412:437:479:564:822 SD: 0.0588 cents