Scala analysis: top-orwell-22
TOP-MAX orwell[22]
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 44.378 cents 44.377510 2: 113.558 cents 113.558070 3: 157.936 cents 157.935580 4: 227.116 cents 227.116140 5: 271.494 cents 271.493650 6: 315.871 cents 315.871160 7: 385.052 cents 385.051720 8: 429.429 cents 429.429230 9: 498.610 cents 498.609780 10: 542.987 cents 542.987290 11: 612.168 cents 612.167850 12: 656.545 cents 656.545360 13: 700.923 cents 700.922870 14: 770.103 cents 770.103430 15: 814.481 cents 814.480940 16: 883.662 cents 883.661500 17: 928.039 cents 928.039010 18: 972.417 cents 972.416520 19: 1041.597 cents 1041.597080 20: 1085.975 cents 1085.974590 21: 1155.155 cents 1155.155150 22: 1199.533 cents 1199.532660
SHOW/INTERVAL
0: 44.3775 cents 44.3775 1: 44.3775 cents 44.3775 2: 69.1806 cents 69.1806 3: 44.3775 cents 44.3775 4: 69.1806 cents 69.1806 5: 44.3775 cents 44.3775 6: 44.3775 cents 44.3775 7: 69.1806 cents 69.1806 8: 44.3775 cents 44.3775 9: 69.1806 cents 69.1806 10: 44.3775 cents 44.3775 11: 69.1806 cents 69.1806 12: 44.3775 cents 44.3775 13: 44.3775 cents 44.3775 14: 69.1806 cents 69.1806 15: 44.3775 cents 44.3775 16: 69.1806 cents 69.1806 17: 44.3775 cents 44.3775 18: 44.3775 cents 44.3775 19: 69.1806 cents 69.1806 20: 44.3775 cents 44.3775 21: 69.1806 cents 69.1806 22: 44.3775 cents 44.3775
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 13 44.37751 cents 1: 9 69.18056 cents 2: 4 88.75502 cents 2: 18 113.55807 cents 3: 17 157.93558 cents 3: 5 182.73863 cents 4: 8 202.31309 cents 4: 14 227.11614 cents 5: 21 271.49365 cents 5: 1 296.29669 cents 6: 12 315.87116 cents 6: 10 340.67421 cents 7: 3 360.24867 cents 7: 19 385.05172 cents 8: 16 429.42923 cents 8: 6 454.23227 cents 9: 7 473.80673 cents 9: 15 498.60978 cents 10: 20 542.98729 cents 10: 2 567.79034 cents 11: 11 587.36480 cents 11: 11 612.16785 cents 12: 2 631.74232 cents 12: 20 656.54536 cents 13: 15 700.92287 cents 13: 7 725.72592 cents 14: 6 745.30038 cents 14: 16 770.10343 cents 15: 19 814.48094 cents 15: 3 839.28399 cents 16: 10 858.85845 cents 16: 12 883.66150 cents 17: 1 903.23597 cents 17: 21 928.03901 cents 18: 14 972.41652 cents 18: 8 997.21957 cents 19: 5 1016.79403 cents 19: 17 1041.59708 cents 20: 18 1085.97459 cents 20: 4 1110.77764 cents 21: 9 1130.35210 cents 21: 13 1155.15515 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 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0.0 : 44.4 113.6 157.9 227.1 271.5 315.9 385.1 429.4 498.6 543.0 612.2 656.5 700.9 770.1 814.5 883.7 928.0 972.4 1041.6 1086.0 1155.2 1199.5 44.4 : 69.2 113.6 182.7 227.1 271.5 340.7 385.1 454.2 498.6 567.8 612.2 656.5 725.7 770.1 839.3 883.7 928.0 997.2 1041.6 1110.8 1155.2 1199.5 113.6 : 44.4 113.6 157.9 202.3 271.5 315.9 385.1 429.4 498.6 543.0 587.4 656.5 700.9 770.1 814.5 858.9 928.0 972.4 1041.6 1086.0 1130.4 1199.5 157.9 : 69.2 113.6 157.9 227.1 271.5 340.7 385.1 454.2 498.6 543.0 612.2 656.5 725.7 770.1 814.5 883.7 928.0 997.2 1041.6 1086.0 1155.2 1199.5 227.1 : 44.4 88.8 157.9 202.3 271.5 315.9 385.1 429.4 473.8 543.0 587.4 656.5 700.9 745.3 814.5 858.9 928.0 972.4 1016.8 1086.0 1130.4 1199.5 271.5 : 44.4 113.6 157.9 227.1 271.5 340.7 385.1 429.4 498.6 543.0 612.2 656.5 700.9 770.1 814.5 883.7 928.0 972.4 1041.6 1086.0 1155.2 1199.5 315.9 : 69.2 113.6 182.7 227.1 296.3 340.7 385.1 454.2 498.6 567.8 612.2 656.5 725.7 770.1 839.3 883.7 928.0 997.2 1041.6 1110.8 1155.2 1199.5 385.1 : 44.4 113.6 157.9 227.1 271.5 315.9 385.1 429.4 498.6 543.0 587.4 656.5 700.9 770.1 814.5 858.9 928.0 972.4 1041.6 1086.0 1130.4 1199.5 429.4 : 69.2 113.6 182.7 227.1 271.5 340.7 385.1 454.2 498.6 543.0 612.2 656.5 725.7 770.1 814.5 883.7 928.0 997.2 1041.6 1086.0 1155.2 1199.5 498.6 : 44.4 113.6 157.9 202.3 271.5 315.9 385.1 429.4 473.8 543.0 587.4 656.5 700.9 745.3 814.5 858.9 928.0 972.4 1016.8 1086.0 1130.4 1199.5 543.0 : 69.2 113.6 157.9 227.1 271.5 340.7 385.1 429.4 498.6 543.0 612.2 656.5 700.9 770.1 814.5 883.7 928.0 972.4 1041.6 1086.0 1155.2 1199.5 612.2 : 44.4 88.8 157.9 202.3 271.5 315.9 360.2 429.4 473.8 543.0 587.4 631.7 700.9 745.3 814.5 858.9 903.2 972.4 1016.8 1086.0 1130.4 1199.5 656.5 : 44.4 113.6 157.9 227.1 271.5 315.9 385.1 429.4 498.6 543.0 587.4 656.5 700.9 770.1 814.5 858.9 928.0 972.4 1041.6 1086.0 1155.2 1199.5 700.9 : 69.2 113.6 182.7 227.1 271.5 340.7 385.1 454.2 498.6 543.0 612.2 656.5 725.7 770.1 814.5 883.7 928.0 997.2 1041.6 1110.8 1155.2 1199.5 770.1 : 44.4 113.6 157.9 202.3 271.5 315.9 385.1 429.4 473.8 543.0 587.4 656.5 700.9 745.3 814.5 858.9 928.0 972.4 1041.6 1086.0 1130.4 1199.5 814.5 : 69.2 113.6 157.9 227.1 271.5 340.7 385.1 429.4 498.6 543.0 612.2 656.5 700.9 770.1 814.5 883.7 928.0 997.2 1041.6 1086.0 1155.2 1199.5 883.7 : 44.4 88.8 157.9 202.3 271.5 315.9 360.2 429.4 473.8 543.0 587.4 631.7 700.9 745.3 814.5 858.9 928.0 972.4 1016.8 1086.0 1130.4 1199.5 928.0 : 44.4 113.6 157.9 227.1 271.5 315.9 385.1 429.4 498.6 543.0 587.4 656.5 700.9 770.1 814.5 883.7 928.0 972.4 1041.6 1086.0 1155.2 1199.5 972.4 : 69.2 113.6 182.7 227.1 271.5 340.7 385.1 454.2 498.6 543.0 612.2 656.5 725.7 770.1 839.3 883.7 928.0 997.2 1041.6 1110.8 1155.2 1199.5 1041.6: 44.4 113.6 157.9 202.3 271.5 315.9 385.1 429.4 473.8 543.0 587.4 656.5 700.9 770.1 814.5 858.9 928.0 972.4 1041.6 1086.0 1130.4 1199.5 1086.0: 69.2 113.6 157.9 227.1 271.5 340.7 385.1 429.4 498.6 543.0 612.2 656.5 725.7 770.1 814.5 883.7 928.0 997.2 1041.6 1086.0 1155.2 1199.5 1155.2: 44.4 88.8 157.9 202.3 271.5 315.9 360.2 429.4 473.8 543.0 587.4 656.5 700.9 745.3 814.5 858.9 928.0 972.4 1016.8 1086.0 1130.4 1199.5 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 44.3775 .. 69.1806 cents 24.80305 cents 44.37751 cents 2: 88.7550 .. 113.5581 cents 24.80305 cents 19.57446 cents 3: 157.9356 .. 182.7386 cents 24.80305 cents 44.37751 cents 4: 202.3131 .. 227.1161 cents 24.80305 cents 19.57446 cents 5: 271.4936 .. 296.2967 cents 24.80304 cents 44.37751 cents 6: 315.8712 .. 340.6742 cents 24.80305 cents 19.57447 cents 7: 360.2487 .. 385.0517 cents 24.80305 cents 19.57446 cents 8: 429.4292 .. 454.2323 cents 24.80304 cents 44.37751 cents 9: 473.8067 .. 498.6098 cents 24.80305 cents 19.57446 cents 10: 542.9873 .. 567.7903 cents 24.80305 cents 44.37751 cents 11: 587.3648 .. 612.1679 cents 24.80305 cents 19.57446 cents 12: 631.7423 .. 656.5454 cents 24.80304 cents 19.57447 cents 13: 700.9229 .. 725.7259 cents 24.80305 cents 44.37751 cents 14: 745.3004 .. 770.1034 cents 24.80305 cents 19.57446 cents 15: 814.4809 .. 839.2840 cents 24.80305 cents 44.37751 cents 16: 858.8584 .. 883.6615 cents 24.80305 cents 19.57446 cents 17: 903.2360 .. 928.0390 cents 24.80304 cents 19.57447 cents 18: 972.4165 .. 997.2196 cents 24.80305 cents 44.37751 cents 19: 1016.7940 .. 1041.5971 cents 24.80305 cents 19.57446 cents 20: 1085.9746 .. 1110.7776 cents 24.80305 cents 44.37751 cents 21: 1130.3521 .. 1155.1552 cents 24.80305 cents 19.57446 cents
SHOW DATA
Number of notes : 22 -- Interval properties -- Smallest interval : 44.37751 cents, class 1 Average step (divided formal octave): 54.5242 cents Largest one step interval : 69.18056 cents Average / Smallest step : 1.228645 Largest / Average step : 1.268804 Largest / Smallest step : 1.558910 Median interval of one step : 44.37751 cents, amount: 13 Most common interval of one step : 44.37751 cents, amount: 13 Least squares average step : 54.61244 cents, oct.: 1201.47377 cents Scale is strictly proper Scale has Myhill's property chromas: 24.80305 cents and 19.57446 cents, ratio: 1.267113 generators: 5 of 271.49365 cents and 17 of 928.03901 cents ET pair of linear temperament : 22&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 919-tone equal temperament with octave 1199.533 cents degrees: 34 87 121 174 208 242 295 329 382 416 469 503 537 590 624 677 711 745 798 832 885 919 generators: 208 and 711 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABAABABABAABABAABABA Step pattern size order : SLSLSSLSLSLSSLSLSSLSLS Scale is a Constant Structure, by a margin of 19.57446 cents Scale diversity : 1.182816 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.565778 Rothenberg efficiency : 0.696970 redundancy: 0.303030 Efficiency x scale size : 15.333333 Number of different interval sizes : 42 = 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 : 19.57446 cents Most common intervals : 271.49365 cents & inv., amount: 21 Scale is a chain of 11 triads 0.0 315.871 928.039 cents Most common triad is 0.0 271.494 928.039 cents, amount: 20 Number of recognisable fifths : 15, average 700.9229 cents Number of recognisable fourths : 15, average 498.6098 cents Scale contains two identical disjunct "tetrachords" of 10 notes Best fifths form a closed circle Best major thirds form a closed circle Formal octave complements present : 21 = 95.4545% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 17 Inversional symmetry on intervals : 8-9 19-20 -- Rational properties --
FIT/MODE
22: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 7.1748 c. M: 12.4015 c. 31: 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 P M ME SD: 4.0184 c. M:-6.9458 c. 53: 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3 2 2 3 2 3 2 SP M ME SD: 0.6278 c. M: 1.0852 c. 137: 5 8 5 8 5 5 8 5 8 5 8 5 5 8 5 8 5 5 8 5 8 5 SP M DE SD: 0.4235 c. M:-0.7320 c. 190: 7 11 7 11 7 7 11 7 11 7 11 7 7 11 7 11 7 7 11 7 11 7 SP M DE SD: 0.1303 c. M:-0.2251 c. 243: 9 14 9 14 9 9 14 9 14 9 14 9 9 14 9 14 9 9 14 9 14 9 SP M DE SD: 0.0351 c. M: 0.0606 c. 676: 25 39 25 39 25 25 39 25 39 25 39 25 25 39 25 39 25 25 39 25 39 25 SP M DE SD: 0.0114 c. M:-0.0197 c. 919: 34 53 34 53 34 34 53 34 53 34 53 34 34 53 34 53 34 34 53 34 53 34 SP M DE SD: 0.0009 c. M: 0.0016 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.4673 cents 2 .. 4 match: 2 H SD: 0.5665 cents 3 .. 6 match: 3 H SD: 0.3372 cents 4 .. 8 match: 4 H SD: 0.9927 cents 5 .. 10 match: 5 H SD: 7.6326 cents 6 .. 12 match: 6 H SD: 1.5254 cents 7 .. 14 match: 7 H SD: 3.0642 cents 8 .. 16 match: 8 H SD: 4.5197 cents 9 .. 18 match: 9 H SD: 5.8856 cents 10 .. 20 match: 10 H SD: 5.3351 cents 11 .. 22 match: 11 H SD: 5.2530 cents 12 .. 24 match: 12 H SD: 3.4829 cents 13 .. 26 match: 13 H SD: 5.5359 cents 14 .. 28 match: 14 H SD: 3.9189 cents 15 .. 30 match: 15 H SD: 3.9734 cents 16 .. 32 match: 16 H SD: 3.6961 cents 17 .. 34 match: 16 SD: 3.8221 cents 18 .. 36 match: 18 H SD: 3.6372 cents 19 .. 38 match: 16 SD: 4.0877 cents 20 .. 40 match: 18 SD: 3.5911 cents 21 .. 42 match: 19 SD: 2.9916 cents 22 .. 44 match: 20 SD: 3.4855 cents 23 .. 46 match: 18 SD: 3.4422 cents 24 .. 48 match: 21 SD: 2.6325 cents 25 .. 50 match: 19 SD: 3.0326 cents 26 .. 52 match: 20 SD: 3.4012 cents 27 .. 54 match: 21 SD: 3.1151 cents 28 .. 56 match: 22 SD: 2.3104 cents 30 .. 60 match: 22 SD: 2.0251 cents 35 .. 70 match: 22 SD: 1.9028 cents 40 .. 80 match: 22 SD: 1.6076 cents 41 .. 82 match: 22 SD: 1.5401 cents 45 .. 90 match: 22 SD: 1.4212 cents 52 .. 104 match: 22 SD: 1.3968 cents 54 .. 108 match: 22 SD: 1.3644 cents 57 .. 114 match: 22 SD: 1.2935 cents 60 .. 120 match: 22 SD: 1.1932 cents 63 .. 126 match: 22 SD: 1.1212 cents 64 .. 128 match: 22 SD: 1.0983 cents 65 .. 130 match: 22 SD: 1.0769 cents 70 .. 140 match: 22 SD: 0.9835 cents 71 .. 142 match: 22 SD: 0.9186 cents 72 .. 144 match: 22 SD: 0.8998 cents 76 .. 152 match: 22 SD: 0.8476 cents 78 .. 156 match: 22 SD: 0.8413 cents 84 .. 168 match: 22 SD: 0.7629 cents 93 .. 186 match: 22 SD: 0.7129 cents 100 .. 200 match: 22 SD: 0.6915 cents 104 .. 208 match: 22 SD: 0.6614 cents 106 .. 212 match: 22 SD: 0.6291 cents 113 .. 226 match: 22 SD: 0.5744 cents 114 .. 228 match: 22 SD: 0.5503 cents 117 .. 234 match: 22 SD: 0.5408 cents 120 .. 240 match: 22 SD: 0.5010 cents 135 .. 270 match: 22 SD: 0.4870 cents 146 .. 292 match: 22 SD: 0.4867 cents 148 .. 296 match: 22 SD: 0.4618 cents 149 .. 298 match: 22 SD: 0.4263 cents 150 .. 300 match: 22 SD: 0.4209 cents 158 .. 316 match: 22 SD: 0.4167 cents 165 .. 330 match: 22 SD: 0.3613 cents 188 .. 376 match: 22 SD: 0.3312 cents 189 .. 378 match: 22 SD: 0.3309 cents 195 .. 390 match: 22 SD: 0.3051 cents 200 .. 400 match: 22 SD: 0.2996 cents 228 .. 456 match: 22 SD: 0.2727 cents 230 .. 460 match: 22 SD: 0.2667 cents 234 .. 468 match: 22 SD: 0.2406 cents 264 .. 528 match: 22 SD: 0.2148 cents 305 .. 610 match: 22 SD: 0.2013 cents 306 .. 612 match: 22 SD: 0.1944 cents 314 .. 628 match: 22 SD: 0.1942 cents 336 .. 672 match: 22 SD: 0.1915 cents 341 .. 682 match: 22 SD: 0.1872 cents 345 .. 690 match: 22 SD: 0.1858 cents 353 .. 706 match: 22 SD: 0.1793 cents 354 .. 708 match: 22 SD: 0.1753 cents 377 .. 754 match: 22 SD: 0.1671 cents 384 .. 768 match: 22 SD: 0.1648 cents 386 .. 772 match: 22 SD: 0.1615 cents 401 .. 802 match: 22 SD: 0.1587 cents 413 .. 826 match: 22 SD: 0.1586 cents 419 .. 838 match: 22 SD: 0.1569 cents 429 .. 858 match: 22 SD: 0.1099 cents 543 .. 1086 match: 22 SD: 0.1059 cents 575 .. 1150 match: 22 SD: 0.1058 cents