Scala analysis: xen18-erlich-sensipent-19
8L 11s MOS for Sensipent, L=74.53, s=54.85
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 54.850 cents 54.850000 2: 129.380 cents 129.380000 3: 184.230 cents 184.230000 4: 258.760 cents 258.760000 5: 313.610 cents 313.610000 6: 388.140 cents 388.140000 7: 442.990 cents 442.990000 8: 497.840 cents 497.840000 9: 572.370 cents 572.370000 10: 627.220 cents 627.220000 11: 701.750 cents 701.750000 12: 756.600 cents 756.600000 13: 811.450 cents 811.450000 14: 885.980 cents 885.980000 15: 940.830 cents 940.830000 16: 1015.360 cents 1015.360000 17: 1070.210 cents 1070.210000 18: 1144.740 cents 1144.740000 19: 1199.590 cents 1199.590000
SHOW/INTERVAL
0: 54.8500 cents 54.8500 1: 54.8500 cents 54.8500 2: 74.5300 cents 74.5300 3: 54.8500 cents 54.8500 4: 74.5300 cents 74.5300 5: 54.8500 cents 54.8500 6: 74.5300 cents 74.5300 7: 54.8500 cents 54.8500 8: 54.8500 cents 54.8500 9: 74.5300 cents 74.5300 10: 54.8500 cents 54.8500 11: 74.5300 cents 74.5300 12: 54.8500 cents 54.8500 13: 54.8500 cents 54.8500 14: 74.5300 cents 74.5300 15: 54.8500 cents 54.8500 16: 74.5300 cents 74.5300 17: 54.8500 cents 54.8500 18: 74.5300 cents 74.5300 19: 54.8500 cents 54.8500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 54.85000 cents 1: 8 74.53000 cents 2: 3 109.70000 cents 2: 16 129.38000 cents 3: 14 184.23000 cents 3: 5 203.91000 cents 4: 6 239.08000 cents 4: 13 258.76000 cents 5: 17 313.61000 cents 5: 2 333.29000 cents 6: 9 368.46000 cents 6: 10 388.14000 cents 7: 1 423.31000 cents 7: 18 442.99000 cents 8: 12 497.84000 cents 8: 7 517.52000 cents 9: 4 552.69000 cents 9: 15 572.37000 cents 10: 15 627.22000 cents 10: 4 646.90000 cents 11: 7 682.07000 cents 11: 12 701.75000 cents 12: 18 756.60000 cents 12: 1 776.28000 cents 13: 10 811.45000 cents 13: 9 831.13000 cents 14: 2 866.30000 cents 14: 17 885.98000 cents 15: 13 940.83000 cents 15: 6 960.51000 cents 16: 5 995.68000 cents 16: 14 1015.36000 cents 17: 16 1070.21000 cents 17: 3 1089.89000 cents 18: 8 1125.06000 cents 18: 11 1144.74000 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 0.0 : 54.8 129.4 184.2 258.8 313.6 388.1 443.0 497.8 572.4 627.2 701.8 756.6 811.5 886.0 940.8 1015.4 1070.2 1144.7 1199.6 54.8 : 74.5 129.4 203.9 258.8 333.3 388.1 443.0 517.5 572.4 646.9 701.8 756.6 831.1 886.0 960.5 1015.4 1089.9 1144.7 1199.6 129.4 : 54.8 129.4 184.2 258.8 313.6 368.5 443.0 497.8 572.4 627.2 682.1 756.6 811.4 886.0 940.8 1015.4 1070.2 1125.1 1199.6 184.2 : 74.5 129.4 203.9 258.8 313.6 388.1 443.0 517.5 572.4 627.2 701.7 756.6 831.1 886.0 960.5 1015.4 1070.2 1144.7 1199.6 258.8 : 54.9 129.4 184.2 239.1 313.6 368.5 443.0 497.8 552.7 627.2 682.1 756.6 811.5 886.0 940.8 995.7 1070.2 1125.1 1199.6 313.6 : 74.5 129.4 184.2 258.8 313.6 388.1 443.0 497.8 572.4 627.2 701.7 756.6 831.1 886.0 940.8 1015.4 1070.2 1144.7 1199.6 388.1 : 54.8 109.7 184.2 239.1 313.6 368.5 423.3 497.8 552.7 627.2 682.1 756.6 811.4 866.3 940.8 995.7 1070.2 1125.1 1199.6 443.0 : 54.8 129.4 184.2 258.8 313.6 368.5 443.0 497.8 572.4 627.2 701.7 756.6 811.4 886.0 940.8 1015.4 1070.2 1144.7 1199.6 497.8 : 74.5 129.4 203.9 258.8 313.6 388.1 443.0 517.5 572.4 646.9 701.8 756.6 831.1 886.0 960.5 1015.4 1089.9 1144.7 1199.6 572.4 : 54.9 129.4 184.2 239.1 313.6 368.5 443.0 497.8 572.4 627.2 682.1 756.6 811.4 886.0 940.8 1015.4 1070.2 1125.1 1199.6 627.2 : 74.5 129.4 184.2 258.8 313.6 388.1 443.0 517.5 572.4 627.2 701.7 756.6 831.1 886.0 960.5 1015.4 1070.2 1144.7 1199.6 701.8 : 54.8 109.7 184.2 239.1 313.6 368.5 443.0 497.8 552.7 627.2 682.1 756.6 811.4 886.0 940.8 995.7 1070.2 1125.1 1199.6 756.6 : 54.8 129.4 184.2 258.8 313.6 388.1 443.0 497.8 572.4 627.2 701.7 756.6 831.1 886.0 940.8 1015.4 1070.2 1144.7 1199.6 811.5 : 74.5 129.4 203.9 258.8 333.3 388.1 443.0 517.5 572.4 646.9 701.7 776.3 831.1 886.0 960.5 1015.4 1089.9 1144.7 1199.6 886.0 : 54.9 129.4 184.2 258.8 313.6 368.5 443.0 497.8 572.4 627.2 701.7 756.6 811.4 886.0 940.8 1015.4 1070.2 1125.1 1199.6 940.8 : 74.5 129.4 203.9 258.8 313.6 388.1 443.0 517.5 572.4 646.9 701.7 756.6 831.1 886.0 960.5 1015.4 1070.2 1144.7 1199.6 1015.4: 54.8 129.4 184.2 239.1 313.6 368.5 443.0 497.8 572.4 627.2 682.1 756.6 811.5 886.0 940.8 995.7 1070.2 1125.1 1199.6 1070.2: 74.5 129.4 184.2 258.8 313.6 388.1 443.0 517.5 572.4 627.2 701.7 756.6 831.1 886.0 940.8 1015.4 1070.2 1144.7 1199.6 1144.7: 54.8 109.7 184.2 239.1 313.6 368.5 443.0 497.8 552.7 627.2 682.1 756.6 811.4 866.3 940.8 995.7 1070.2 1125.1 1199.6 1199.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.8500 .. 74.5300 cents 19.68000 cents 54.85000 cents 2: 109.7000 .. 129.3800 cents 19.68000 cents 35.17000 cents 3: 184.2300 .. 203.9100 cents 19.68000 cents 54.85000 cents 4: 239.0800 .. 258.7600 cents 19.68000 cents 35.17000 cents 5: 313.6100 .. 333.2900 cents 19.68000 cents 54.85000 cents 6: 368.4600 .. 388.1400 cents 19.68000 cents 35.17000 cents 7: 423.3100 .. 442.9900 cents 19.68000 cents 35.17000 cents 8: 497.8400 .. 517.5200 cents 19.68000 cents 54.85000 cents 9: 552.6900 .. 572.3700 cents 19.68000 cents 35.17000 cents 10: 627.2200 .. 646.9000 cents 19.68000 cents 54.85000 cents 11: 682.0700 .. 701.7500 cents 19.68000 cents 35.17000 cents 12: 756.6000 .. 776.2800 cents 19.68000 cents 54.85000 cents 13: 811.4500 .. 831.1300 cents 19.68000 cents 35.17000 cents 14: 866.3000 .. 885.9800 cents 19.68000 cents 35.17000 cents 15: 940.8300 .. 960.5100 cents 19.68000 cents 54.85000 cents 16: 995.6800 .. 1015.3600 cents 19.68000 cents 35.17000 cents 17: 1070.2100 .. 1089.8900 cents 19.68000 cents 54.85000 cents 18: 1125.0600 .. 1144.7400 cents 19.68000 cents 35.17000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 54.85000 cents, class 1 Average step (divided formal octave): 63.1363 cents Largest one step interval : 74.53000 cents Average / Smallest step : 1.151072 Largest / Average step : 1.180462 Largest / Smallest step : 1.358797 Median interval of one step : 54.85000 cents, amount: 11 Most common interval of one step : 54.85000 cents, amount: 11 Least squares average step : 63.16022 cents, oct.: 1200.04415 cents Scale is strictly proper Scale has Myhill's property chromas: 19.68000 cents and 35.17000 cents, ratio: 1.787093 generators: 7 of 442.99000 cents and 12 of 756.60000 cents ET pair of linear temperament : 19&46 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 853-tone equal temperament with octave 1199.590 cents degrees: 39 92 131 184 223 276 315 354 407 446 499 538 577 630 669 722 761 814 853 generators: 315 and 538 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABAABABAABABABA Step pattern size order : SLSLSLSSLSLSSLSLSLS Scale is a Constant Structure, by a margin of 35.17000 cents Scale diversity : 1.166608 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.704699 Rothenberg efficiency : 0.701754 redundancy: 0.298246 Efficiency x scale size : 13.333333 Number of different interval sizes : 36 = 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 : 19.68000 cents Most common intervals : 442.99000 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 442.990 885.980 cents Most common triad is 0.0 442.990 756.600 cents, amount: 17 Number of recognisable fifths : 12, average 701.7500 cents Number of recognisable fourths : 12, average 497.8400 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 19 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 5.6733 c. M: 9.3221 c. 46: 2 3 2 3 2 3 2 2 3 2 3 2 2 3 2 3 2 3 2 SP M ME I SD: 1.8444 c. M: 3.0307 c. 65: 3 4 3 4 3 4 3 3 4 3 4 3 3 4 3 4 3 4 3 SP M ME I SD: 0.3531 c. M: 0.5802 c. 176: 8 11 8 11 8 11 8 8 11 8 11 8 8 11 8 11 8 11 8 SP M DE I SD: 0.2213 c. M: 0.3636 c. 241: 11 15 11 15 11 15 11 11 15 11 15 11 11 15 11 15 11 15 11 SP M DE I SD: 0.0664 c. M: 0.1090 c. 306: 14 19 14 19 14 19 14 14 19 14 19 14 14 19 14 19 14 19 14 SP M DE I SD: 0.0227 c. M: 0.0374 c. 547: 25 34 25 34 25 34 25 25 34 25 34 25 25 34 25 34 25 34 25 SP M DE I SD: 0.0165 c. M: 0.0271 c. 853: 39 53 39 53 39 53 39 39 53 39 53 39 39 53 39 53 39 53 39 SP M DE I SD: 0.0024 c. M: 0.0040 c. 2012: 92 125 92 125 92 125 92 92 125 92 125 92 92 125 92 125 92 125 92 SP M DE I SD: 0.0014 c. M: 0.0023 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.4100 cents 2 .. 4 match: 2 H SD: 0.2292 cents 3 .. 6 match: 3 H SD: 0.5616 cents 4 .. 8 match: 4 H SD: 7.0148 cents 5 .. 10 match: 5 H SD: 2.1648 cents 6 .. 12 match: 6 H SD: 3.7389 cents 7 .. 14 match: 7 H SD: 5.8034 cents 8 .. 16 match: 8 H SD: 6.6019 cents 9 .. 18 match: 9 H SD: 5.6961 cents 10 .. 20 match: 10 H SD: 4.7224 cents 11 .. 22 match: 11 H SD: 6.7961 cents 12 .. 24 match: 12 H SD: 4.2109 cents 13 .. 26 match: 13 H SD: 5.1351 cents 14 .. 28 match: 14 H SD: 4.5762 cents 15 .. 30 match: 15 H SD: 4.0763 cents 16 .. 32 match: 16 H SD: 4.5212 cents 17 .. 34 match: 15 SD: 5.0844 cents 18 .. 36 match: 17 SD: 3.7492 cents 19 .. 38 match: 16 SD: 4.6017 cents 20 .. 40 match: 18 SD: 3.2963 cents 21 .. 42 match: 17 SD: 3.9537 cents 22 .. 44 match: 16 SD: 4.1738 cents 23 .. 46 match: 19 SD: 3.9565 cents 24 .. 48 match: 19 SD: 2.9830 cents 25 .. 50 match: 19 SD: 2.6631 cents 28 .. 56 match: 19 SD: 2.5909 cents 30 .. 60 match: 19 SD: 2.3434 cents 35 .. 70 match: 19 SD: 2.0138 cents 36 .. 72 match: 19 SD: 1.7428 cents 44 .. 88 match: 19 SD: 1.7086 cents 48 .. 96 match: 19 SD: 1.6438 cents 51 .. 102 match: 19 SD: 1.3792 cents 54 .. 108 match: 19 SD: 1.3355 cents 55 .. 110 match: 19 SD: 1.2525 cents 60 .. 120 match: 19 SD: 1.2162 cents 62 .. 124 match: 19 SD: 1.0232 cents 64 .. 128 match: 19 SD: 0.8835 cents 87 .. 174 match: 19 SD: 0.8199 cents 90 .. 180 match: 19 SD: 0.7351 cents 99 .. 198 match: 19 SD: 0.6824 cents 100 .. 200 match: 19 SD: 0.6240 cents 117 .. 234 match: 19 SD: 0.5609 cents 124 .. 248 match: 19 SD: 0.5306 cents 126 .. 252 match: 19 SD: 0.4954 cents 130 .. 260 match: 19 SD: 0.4818 cents 144 .. 288 match: 19 SD: 0.4421 cents 168 .. 336 match: 19 SD: 0.4162 cents 179 .. 358 match: 19 SD: 0.3805 cents 186 .. 372 match: 19 SD: 0.3220 cents 192 .. 384 match: 19 SD: 0.3169 cents 206 .. 412 match: 19 SD: 0.3040 cents 216 .. 432 match: 19 SD: 0.3012 cents 222 .. 444 match: 19 SD: 0.2335 cents 286 .. 572 match: 19 SD: 0.2076 cents 346 .. 692 match: 19 SD: 0.1694 cents 398 .. 796 match: 19 SD: 0.1549 cents 428 .. 856 match: 19 SD: 0.1543 cents 438 .. 876 match: 19 SD: 0.1475 cents 464 .. 928 match: 19 SD: 0.1450 cents 465 .. 930 match: 19 SD: 0.1300 cents 490 .. 980 match: 19 SD: 0.1163 cents 525 .. 1050 match: 19 SD: 0.1161 cents 528 .. 1056 match: 19 SD: 0.1152 cents 589 .. 1178 match: 19 SD: 0.0984 cents