Scala analysis: xen18-erlich-orwell-22
9L 13s MOS for Orwell, L=69.22, s=44.35
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 44.350 cents 44.350000 2: 113.570 cents 113.570000 3: 157.920 cents 157.920000 4: 227.140 cents 227.140000 5: 271.490 cents 271.490000 6: 315.840 cents 315.840000 7: 385.060 cents 385.060000 8: 429.410 cents 429.410000 9: 498.630 cents 498.630000 10: 542.980 cents 542.980000 11: 612.200 cents 612.200000 12: 656.550 cents 656.550000 13: 700.900 cents 700.900000 14: 770.120 cents 770.120000 15: 814.470 cents 814.470000 16: 883.690 cents 883.690000 17: 928.040 cents 928.040000 18: 972.390 cents 972.390000 19: 1041.610 cents 1041.610000 20: 1085.960 cents 1085.960000 21: 1155.180 cents 1155.180000 22: 1199.530 cents 1199.530000
SHOW/INTERVAL
0: 44.3500 cents 44.3500 1: 44.3500 cents 44.3500 2: 69.2200 cents 69.2200 3: 44.3500 cents 44.3500 4: 69.2200 cents 69.2200 5: 44.3500 cents 44.3500 6: 44.3500 cents 44.3500 7: 69.2200 cents 69.2200 8: 44.3500 cents 44.3500 9: 69.2200 cents 69.2200 10: 44.3500 cents 44.3500 11: 69.2200 cents 69.2200 12: 44.3500 cents 44.3500 13: 44.3500 cents 44.3500 14: 69.2200 cents 69.2200 15: 44.3500 cents 44.3500 16: 69.2200 cents 69.2200 17: 44.3500 cents 44.3500 18: 44.3500 cents 44.3500 19: 69.2200 cents 69.2200 20: 44.3500 cents 44.3500 21: 69.2200 cents 69.2200 22: 44.3500 cents 44.3500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 13 44.35000 cents 1: 9 69.22000 cents 2: 4 88.70000 cents 2: 18 113.57000 cents 3: 17 157.92000 cents 3: 5 182.79000 cents 4: 8 202.27000 cents 4: 14 227.14000 cents 5: 21 271.49000 cents 5: 1 296.36000 cents 6: 12 315.84000 cents 6: 10 340.71000 cents 7: 3 360.19000 cents 7: 19 385.06000 cents 8: 16 429.41000 cents 8: 6 454.28000 cents 9: 7 473.76000 cents 9: 15 498.63000 cents 10: 20 542.98000 cents 10: 2 567.85000 cents 11: 11 587.33000 cents 11: 11 612.20000 cents 12: 2 631.68000 cents 12: 20 656.55000 cents 13: 15 700.90000 cents 13: 7 725.77000 cents 14: 6 745.25000 cents 14: 16 770.12000 cents 15: 19 814.47000 cents 15: 3 839.34000 cents 16: 10 858.82000 cents 16: 12 883.69000 cents 17: 1 903.17000 cents 17: 21 928.04000 cents 18: 14 972.39000 cents 18: 8 997.26000 cents 19: 5 1016.74000 cents 19: 17 1041.61000 cents 20: 18 1085.96000 cents 20: 4 1110.83000 cents 21: 9 1130.31000 cents 21: 13 1155.18000 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 : 44.4 113.6 157.9 227.1 271.5 315.8 385.1 429.4 498.6 543.0 612.2 656.5 700.9 770.1 814.5 883.7 928.0 972.4 1041.6 1086.0 1155.2 1199.5 44.4 : 69.2 113.6 182.8 227.1 271.5 340.7 385.1 454.3 498.6 567.8 612.2 656.5 725.8 770.1 839.3 883.7 928.0 997.3 1041.6 1110.8 1155.2 1199.5 113.6 : 44.4 113.6 157.9 202.3 271.5 315.8 385.1 429.4 498.6 543.0 587.3 656.5 700.9 770.1 814.5 858.8 928.0 972.4 1041.6 1086.0 1130.3 1199.5 157.9 : 69.2 113.6 157.9 227.1 271.5 340.7 385.1 454.3 498.6 543.0 612.2 656.5 725.8 770.1 814.5 883.7 928.0 997.3 1041.6 1086.0 1155.2 1199.5 227.1 : 44.4 88.7 157.9 202.3 271.5 315.8 385.1 429.4 473.8 543.0 587.3 656.5 700.9 745.2 814.5 858.8 928.0 972.4 1016.7 1086.0 1130.3 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 1199.5 315.8 : 69.2 113.6 182.8 227.1 296.4 340.7 385.1 454.3 498.6 567.8 612.2 656.5 725.8 770.1 839.3 883.7 928.0 997.3 1041.6 1110.8 1155.2 1199.5 385.1 : 44.4 113.6 157.9 227.1 271.5 315.8 385.1 429.4 498.6 543.0 587.3 656.5 700.9 770.1 814.5 858.8 928.0 972.4 1041.6 1086.0 1130.3 1199.5 429.4 : 69.2 113.6 182.8 227.1 271.5 340.7 385.1 454.3 498.6 543.0 612.2 656.5 725.8 770.1 814.5 883.7 928.0 997.3 1041.6 1086.0 1155.2 1199.5 498.6 : 44.4 113.6 157.9 202.3 271.5 315.8 385.1 429.4 473.8 543.0 587.3 656.5 700.9 745.3 814.5 858.8 928.0 972.4 1016.7 1086.0 1130.3 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 : 44.3 88.7 157.9 202.3 271.5 315.8 360.2 429.4 473.8 543.0 587.3 631.7 700.9 745.3 814.5 858.8 903.2 972.4 1016.7 1086.0 1130.3 1199.5 656.5 : 44.4 113.6 157.9 227.1 271.5 315.8 385.1 429.4 498.6 543.0 587.3 656.5 700.9 770.1 814.5 858.8 928.0 972.4 1041.6 1086.0 1155.2 1199.5 700.9 : 69.2 113.6 182.8 227.1 271.5 340.7 385.1 454.3 498.6 543.0 612.2 656.6 725.8 770.1 814.5 883.7 928.0 997.3 1041.6 1110.8 1155.2 1199.5 770.1 : 44.4 113.6 157.9 202.3 271.5 315.8 385.1 429.4 473.8 543.0 587.3 656.6 700.9 745.3 814.5 858.8 928.0 972.4 1041.6 1086.0 1130.3 1199.5 814.5 : 69.2 113.6 157.9 227.1 271.5 340.7 385.1 429.4 498.6 543.0 612.2 656.6 700.9 770.1 814.5 883.7 928.0 997.3 1041.6 1086.0 1155.2 1199.5 883.7 : 44.3 88.7 157.9 202.3 271.5 315.8 360.2 429.4 473.8 543.0 587.3 631.7 700.9 745.3 814.5 858.8 928.0 972.4 1016.7 1086.0 1130.3 1199.5 928.0 : 44.4 113.6 157.9 227.1 271.5 315.8 385.1 429.4 498.6 543.0 587.3 656.6 700.9 770.1 814.5 883.7 928.0 972.4 1041.6 1086.0 1155.2 1199.5 972.4 : 69.2 113.6 182.8 227.1 271.5 340.7 385.1 454.3 498.6 543.0 612.2 656.6 725.8 770.1 839.3 883.7 928.0 997.3 1041.6 1110.8 1155.2 1199.5 1041.6: 44.4 113.6 157.9 202.3 271.5 315.8 385.1 429.4 473.8 543.0 587.3 656.5 700.9 770.1 814.5 858.8 928.0 972.4 1041.6 1086.0 1130.3 1199.5 1086.0: 69.2 113.6 157.9 227.1 271.5 340.7 385.1 429.4 498.6 543.0 612.2 656.5 725.8 770.1 814.5 883.7 928.0 997.3 1041.6 1086.0 1155.2 1199.5 1155.2: 44.4 88.7 157.9 202.3 271.5 315.8 360.2 429.4 473.8 543.0 587.3 656.5 700.9 745.3 814.5 858.8 928.0 972.4 1016.7 1086.0 1130.3 1199.5 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 44.3500 .. 69.2200 cents 24.87000 cents 44.35000 cents 2: 88.7000 .. 113.5700 cents 24.87000 cents 19.48000 cents 3: 157.9200 .. 182.7900 cents 24.87000 cents 44.35000 cents 4: 202.2700 .. 227.1400 cents 24.87000 cents 19.48000 cents 5: 271.4900 .. 296.3600 cents 24.87000 cents 44.35000 cents 6: 315.8400 .. 340.7100 cents 24.87000 cents 19.48000 cents 7: 360.1900 .. 385.0600 cents 24.87000 cents 19.48000 cents 8: 429.4100 .. 454.2800 cents 24.87000 cents 44.35000 cents 9: 473.7600 .. 498.6300 cents 24.87000 cents 19.48000 cents 10: 542.9800 .. 567.8500 cents 24.87000 cents 44.35000 cents 11: 587.3300 .. 612.2000 cents 24.87000 cents 19.48000 cents 12: 631.6800 .. 656.5500 cents 24.87000 cents 19.48000 cents 13: 700.9000 .. 725.7700 cents 24.87000 cents 44.35000 cents 14: 745.2500 .. 770.1200 cents 24.87000 cents 19.48000 cents 15: 814.4700 .. 839.3400 cents 24.87000 cents 44.35000 cents 16: 858.8200 .. 883.6900 cents 24.87000 cents 19.48000 cents 17: 903.1700 .. 928.0400 cents 24.87000 cents 19.48000 cents 18: 972.3900 .. 997.2600 cents 24.87000 cents 44.35000 cents 19: 1016.7400 .. 1041.6100 cents 24.87000 cents 19.48000 cents 20: 1085.9600 .. 1110.8300 cents 24.87000 cents 44.35000 cents 21: 1130.3100 .. 1155.1800 cents 24.87000 cents 19.48000 cents
SHOW DATA
Number of notes : 22 -- Interval properties -- Smallest interval : 44.35000 cents, class 1 Average step (divided formal octave): 54.5241 cents Largest one step interval : 69.22000 cents Average / Smallest step : 1.229405 Largest / Average step : 1.269531 Largest / Smallest step : 1.560767 Median interval of one step : 44.35000 cents, amount: 13 Most common interval of one step : 44.35000 cents, amount: 13 Least squares average step : 54.61256 cents, oct.: 1201.47635 cents Scale is strictly proper Scale has Myhill's property chromas: 24.87000 cents and 19.48000 cents, ratio: 1.276694 generators: 5 of 271.49000 cents and 17 of 928.04000 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 1109-tone equal temperament with octave 1199.530 cents degrees: 41 105 146 210 251 292 356 397 461 502 566 607 648 712 753 817 858 899 963 1004 1068 1109 generators: 251 and 858 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 19.48000 cents Scale diversity : 1.182807 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.564604 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 : 19.48000 cents Most common intervals : 271.49000 cents & inv., amount: 21 Scale is a chain of 11 triads 0.0 315.840 928.040 cents Most common triad is 0.0 271.490 928.040 cents, amount: 20 Number of recognisable fifths : 15, average 700.9000 cents Number of recognisable fourths : 15, average 498.6300 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: 7.1942 c. M: 12.4350 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: 3.9990 c. M:-6.9123 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: 0.6472 c. M: 1.1187 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: 0.4041 c. M:-0.6985 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: 0.1109 c. M:-0.1916 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: 0.0545 c. M: 0.0942 c. 433: 16 25 16 25 16 16 25 16 25 16 25 16 16 25 16 25 16 16 25 16 25 16 SP M DE SD: 0.0181 c. M:-0.0312 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: 0.0080 c. M: 0.0138 c. 1109: 41 64 41 64 41 41 64 41 64 41 64 41 41 64 41 64 41 41 64 41 64 41 SP M DE SD: 0.0022 c. M:-0.0038 c. 1785: 66 103 66 103 66 66 103 66 103 66 103 66 66 103 66 103 66 66 103 66 103 66 SP M DE SD: 0.0017 c. M: 0.0029 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.4700 cents 2 .. 4 match: 2 H SD: 0.5775 cents 3 .. 6 match: 3 H SD: 0.3350 cents 4 .. 8 match: 4 H SD: 0.9877 cents 5 .. 10 match: 5 H SD: 7.6391 cents 6 .. 12 match: 6 H SD: 1.5236 cents 7 .. 14 match: 7 H SD: 3.0603 cents 8 .. 16 match: 8 H SD: 4.5227 cents 9 .. 18 match: 9 H SD: 5.8906 cents 10 .. 20 match: 10 H SD: 5.3393 cents 11 .. 22 match: 11 H SD: 5.2552 cents 12 .. 24 match: 12 H SD: 3.4835 cents 13 .. 26 match: 13 H SD: 5.5377 cents 14 .. 28 match: 14 H SD: 3.9214 cents 15 .. 30 match: 15 H SD: 3.9749 cents 16 .. 32 match: 16 H SD: 3.6969 cents 17 .. 34 match: 16 SD: 3.8250 cents 18 .. 36 match: 18 H SD: 3.6396 cents 19 .. 38 match: 16 SD: 4.0878 cents 20 .. 40 match: 18 SD: 3.5923 cents 21 .. 42 match: 19 SD: 2.9917 cents 22 .. 44 match: 20 SD: 3.4869 cents 23 .. 46 match: 18 SD: 3.4427 cents 24 .. 48 match: 21 SD: 2.6340 cents 25 .. 50 match: 19 SD: 3.0321 cents 26 .. 52 match: 20 SD: 3.4012 cents 27 .. 54 match: 21 SD: 3.1151 cents 28 .. 56 match: 22 SD: 2.3107 cents 30 .. 60 match: 22 SD: 2.0256 cents 35 .. 70 match: 22 SD: 1.9020 cents 40 .. 80 match: 22 SD: 1.6070 cents 41 .. 82 match: 22 SD: 1.5401 cents 45 .. 90 match: 22 SD: 1.4212 cents 52 .. 104 match: 22 SD: 1.3960 cents 54 .. 108 match: 22 SD: 1.3634 cents 57 .. 114 match: 22 SD: 1.2921 cents 60 .. 120 match: 22 SD: 1.1942 cents 63 .. 126 match: 22 SD: 1.1213 cents 64 .. 128 match: 22 SD: 1.0987 cents 65 .. 130 match: 22 SD: 1.0765 cents 70 .. 140 match: 22 SD: 0.9842 cents 71 .. 142 match: 22 SD: 0.9187 cents 72 .. 144 match: 22 SD: 0.8993 cents 76 .. 152 match: 22 SD: 0.8463 cents 78 .. 156 match: 22 SD: 0.8421 cents 84 .. 168 match: 22 SD: 0.7616 cents 93 .. 186 match: 22 SD: 0.7132 cents 100 .. 200 match: 22 SD: 0.6921 cents 104 .. 208 match: 22 SD: 0.6611 cents 106 .. 212 match: 22 SD: 0.6294 cents 113 .. 226 match: 22 SD: 0.5752 cents 114 .. 228 match: 22 SD: 0.5507 cents 117 .. 234 match: 22 SD: 0.5389 cents 120 .. 240 match: 22 SD: 0.5001 cents 135 .. 270 match: 22 SD: 0.4880 cents 146 .. 292 match: 22 SD: 0.4871 cents 148 .. 296 match: 22 SD: 0.4629 cents 149 .. 298 match: 22 SD: 0.4269 cents 150 .. 300 match: 22 SD: 0.4204 cents 158 .. 316 match: 22 SD: 0.4167 cents 165 .. 330 match: 22 SD: 0.3603 cents 188 .. 376 match: 22 SD: 0.3328 cents 189 .. 378 match: 22 SD: 0.3316 cents 195 .. 390 match: 22 SD: 0.3052 cents 200 .. 400 match: 22 SD: 0.2989 cents 228 .. 456 match: 22 SD: 0.2738 cents 230 .. 460 match: 22 SD: 0.2666 cents 234 .. 468 match: 22 SD: 0.2407 cents 264 .. 528 match: 22 SD: 0.2144 cents 305 .. 610 match: 22 SD: 0.2011 cents 306 .. 612 match: 22 SD: 0.1949 cents 336 .. 672 match: 22 SD: 0.1913 cents 341 .. 682 match: 22 SD: 0.1869 cents 345 .. 690 match: 22 SD: 0.1869 cents 353 .. 706 match: 22 SD: 0.1793 cents 354 .. 708 match: 22 SD: 0.1761 cents 377 .. 754 match: 22 SD: 0.1655 cents 384 .. 768 match: 22 SD: 0.1649 cents 386 .. 772 match: 22 SD: 0.1621 cents 399 .. 798 match: 22 SD: 0.1616 cents 401 .. 802 match: 22 SD: 0.1577 cents 419 .. 838 match: 22 SD: 0.1568 cents 429 .. 858 match: 22 SD: 0.1101 cents 543 .. 1086 match: 22 SD: 0.1072 cents 575 .. 1150 match: 22 SD: 0.1052 cents