Scala analysis: xen18-erlich-orwell-05
4L 1s MOS for Orwell, L=271.49, s=113.57
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 271.490 cents 271.490000 2: 542.980 cents 542.980000 3: 656.550 cents 656.550000 4: 928.040 cents 928.040000 5: 1199.530 cents 1199.530000
SHOW/INTERVAL
0: 271.4900 cents 271.4900 1: 271.4900 cents 271.4900 2: 271.4900 cents 271.4900 3: 113.5700 cents 113.5700 4: 271.4900 cents 271.4900 5: 271.4900 cents 271.4900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 113.57000 cents 1: 4 271.49000 cents 2: 2 385.06000 cents 2: 3 542.98000 cents 3: 3 656.55000 cents 3: 2 814.47000 cents 4: 4 928.04000 cents 4: 1 1085.96000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 271.5 543.0 656.5 928.0 1199.5 271.5 : 271.5 385.1 656.5 928.0 1199.5 543.0 : 113.6 385.1 656.5 928.0 1199.5 656.5 : 271.5 543.0 814.5 1086.0 1199.5 928.0 : 271.5 543.0 814.5 928.0 1199.5 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.5700 .. 271.4900 cents 157.92000 cents 113.57000 cents 2: 385.0600 .. 542.9800 cents 157.92000 cents 113.57000 cents 3: 656.5500 .. 814.4700 cents 157.92000 cents 113.57000 cents 4: 928.0400 .. 1085.9600 cents 157.92000 cents 113.57000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 113.57000 cents, class 1 Average step (divided formal octave): 239.9060 cents Largest one step interval : 271.49000 cents Average / Smallest step : 2.112406 Largest / Average step : 1.131652 Largest / Smallest step : 2.390508 Median interval of one step : 271.49000 cents, amount: 4 Most common interval of one step : 271.49000 cents, amount: 4 Least squares average step : 237.03473 cents, oct.: 1185.17364 cents Scale is strictly proper Scale has Myhill's property chromas: 157.92000 cents and 44.35000 cents, ratio: 3.560767 generators: 1 of 271.49000 cents and 4 of 928.04000 cents ET pair of linear temperament : 22&31 Scale is distributional even Scale is a mode of a 433-tone equal temperament with octave 1199.530 cents degrees: 98 196 237 335 433 generators: 98 and 335 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : LLSLL Scale is a Constant Structure, by a margin of 113.57000 cents Scale diversity : 1.348856 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.473394 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 113.57000 cents Most common intervals : 271.49000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 542.980 928.040 cents Most common triad is 0.0 271.490 928.040 cents, amount: 3 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 44.6665 c. M: 63.1680 c. 8: 2 2 0 2 2 P M DE I SD: 40.1531 c. M:-56.7850 c. 9: 2 2 1 2 2 SP M ME I SD: 6.9689 c. M:-9.8556 c. 22: 5 5 2 5 5 SP M DE I SD: 1.5987 c. M: 2.2609 c. 31: 7 7 3 7 7 SP M DE I SD: 0.8887 c. M: 1.2568 c. 53: 12 12 5 12 12 SP M DE I SD: 0.1438 c. M:-0.2034 c. 137: 31 31 13 31 31 SP M DE I SD: 0.0898 c. M:-0.1270 c. 190: 43 43 18 43 43 SP M DE I SD: 0.0246 c. M:-0.0348 c. 243: 55 55 23 55 55 SP M DE I SD: 0.0121 c. M: 0.0171 c. 433: 98 98 41 98 98 SP M DE I SD: 0.0040 c. M: 0.0057 c. 676: 153 153 64 153 153 SP M DE I SD: 0.0018 c. M:-0.0025 c. 1109: 251 251 105 251 251 SP M DE I SD: 0.0005 c. M:-0.0007 c. 1785: 404 404 169 404 404 SP M DE I SD: 0.0004 c. M:-0.0005 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.4700 cents 2 x x 3 x 4 S SD: 22.7037 cents 3 x 4 x 5:6 S SD: 20.8897 cents 4:5 x 6:7:8 S SD: 32.5094 cents 5:6:7 x 9:10 SD: 26.8476 cents 6:7:8:9:10:12 S SD: 15.5053 cents 7:8 x 10:12:14 S SD: 14.0920 cents 11:13:15:16:19:22 SD: 5.4482 cents 17:20:23:25:29:34 SD: 4.9781 cents 24:28:33:35:41:48 SD: 2.0325 cents 35:41:48:51:60:70 SD: 1.6684 cents 41:48:56:60:70:82 SD: 0.9684 cents 65:76:89:95:111:130 SD: 0.4338 cents 117:137:160:171:200:234 SD: 0.4279 cents 141:165:193:206:241:282 SD: 0.1925 cents 323:378:442:472:552:646 SD: 0.1855 cents 347:406:475:507:593:694 SD: 0.1831 cents 388:454:531:567:663:776 SD: 0.1760 cents 529:619:724:773:904:1058 SD: 0.1694 cents