Scala analysis: horixens-05-better-left-unanswered
Sevish: Better Left Unanswered, Horixens
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 38.710 cents 38.709680 2: 116.129 cents 116.129030 3: 154.839 cents 154.838710 4: 232.258 cents 232.258060 5: 309.677 cents 309.677420 6: 348.387 cents 348.387100 7: 425.806 cents 425.806450 8: 503.226 cents 503.225810 9: 541.935 cents 541.935480 10: 619.355 cents 619.354840 11: 658.065 cents 658.064520 12: 735.484 cents 735.483870 13: 812.903 cents 812.903230 14: 851.613 cents 851.612900 15: 929.032 cents 929.032260 16: 1006.452 cents 1006.451610 17: 1045.161 cents 1045.161290 18: 1122.581 cents 1122.580650 19: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 77.4194 cents 77.4194 1: 38.7097 cents 38.7097 2: 77.4194 cents 77.4194 3: 38.7097 cents 38.7097 4: 77.4194 cents 77.4194 5: 77.4194 cents 77.4194 6: 38.7097 cents 38.7097 7: 77.4193 cents 77.4193 8: 77.4194 cents 77.4194 9: 38.7097 cents 38.7097 10: 77.4194 cents 77.4194 11: 38.7097 cents 38.7097 12: 77.4194 cents 77.4194 13: 77.4194 cents 77.4194 14: 38.7097 cents 38.7097 15: 77.4194 cents 77.4194 16: 77.4193 cents 77.4193 17: 38.7097 cents 38.7097 18: 77.4194 cents 77.4194 19: 77.4194 cents 77.4194
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 38.70968 cents 1: 12 77.41935 cents 2: 14 116.12903 cents 2: 5 154.83871 cents 3: 2 154.83871 cents 3: 17 193.54838 cents 4: 9 232.25806 cents 4: 10 270.96774 cents 5: 16 309.67742 cents 5: 3 348.38710 cents 6: 4 348.38710 cents 6: 15 387.09677 cents 7: 11 425.80645 cents 7: 8 464.51613 cents 8: 18 503.22581 cents 8: 1 541.93548 cents 9: 6 541.93548 cents 9: 13 580.64516 cents 10: 13 619.35484 cents 10: 6 658.06452 cents 11: 1 658.06452 cents 11: 18 696.77419 cents 12: 8 735.48387 cents 12: 11 774.19355 cents 13: 15 812.90323 cents 13: 4 851.61290 cents 14: 3 851.61290 cents 14: 16 890.32258 cents 15: 10 929.03226 cents 15: 9 967.74193 cents 16: 17 1006.45161 cents 16: 2 1045.16129 cents 17: 5 1045.16129 cents 17: 14 1083.87097 cents 18: 12 1122.58065 cents 18: 7 1161.29032 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 : 38.7 116.1 154.8 232.3 309.7 348.4 425.8 503.2 541.9 619.4 658.1 735.5 812.9 851.6 929.0 1006.5 1045.2 1122.6 1200.0 38.7 : 77.4 116.1 193.5 271.0 309.7 387.1 464.5 503.2 580.6 619.4 696.8 774.2 812.9 890.3 967.7 1006.5 1083.9 1161.3 1200.0 116.1 : 38.7 116.1 193.5 232.3 309.7 387.1 425.8 503.2 541.9 619.4 696.8 735.5 812.9 890.3 929.0 1006.5 1083.9 1122.6 1200.0 154.8 : 77.4 154.8 193.5 271.0 348.4 387.1 464.5 503.2 580.6 658.1 696.8 774.2 851.6 890.3 967.7 1045.2 1083.9 1161.3 1200.0 232.3 : 77.4 116.1 193.5 271.0 309.7 387.1 425.8 503.2 580.6 619.4 696.8 774.2 812.9 890.3 967.7 1006.5 1083.9 1122.6 1200.0 309.7 : 38.7 116.1 193.5 232.3 309.7 348.4 425.8 503.2 541.9 619.4 696.8 735.5 812.9 890.3 929.0 1006.5 1045.2 1122.6 1200.0 348.4 : 77.4 154.8 193.5 271.0 309.7 387.1 464.5 503.2 580.6 658.1 696.8 774.2 851.6 890.3 967.7 1006.5 1083.9 1161.3 1200.0 425.8 : 77.4 116.1 193.5 232.3 309.7 387.1 425.8 503.2 580.6 619.4 696.8 774.2 812.9 890.3 929.0 1006.5 1083.9 1122.6 1200.0 503.2 : 38.7 116.1 154.8 232.3 309.7 348.4 425.8 503.2 541.9 619.4 696.8 735.5 812.9 851.6 929.0 1006.5 1045.2 1122.6 1200.0 541.9 : 77.4 116.1 193.5 271.0 309.7 387.1 464.5 503.2 580.6 658.1 696.8 774.2 812.9 890.3 967.7 1006.5 1083.9 1161.3 1200.0 619.4 : 38.7 116.1 193.5 232.3 309.7 387.1 425.8 503.2 580.6 619.4 696.8 735.5 812.9 890.3 929.0 1006.5 1083.9 1122.6 1200.0 658.1 : 77.4 154.8 193.5 271.0 348.4 387.1 464.5 541.9 580.6 658.1 696.8 774.2 851.6 890.3 967.7 1045.2 1083.9 1161.3 1200.0 735.5 : 77.4 116.1 193.5 271.0 309.7 387.1 464.5 503.2 580.6 619.4 696.8 774.2 812.9 890.3 967.7 1006.5 1083.9 1122.6 1200.0 812.9 : 38.7 116.1 193.5 232.3 309.7 387.1 425.8 503.2 541.9 619.4 696.8 735.5 812.9 890.3 929.0 1006.5 1045.2 1122.6 1200.0 851.6 : 77.4 154.8 193.5 271.0 348.4 387.1 464.5 503.2 580.6 658.1 696.8 774.2 851.6 890.3 967.7 1006.5 1083.9 1161.3 1200.0 929.0 : 77.4 116.1 193.5 271.0 309.7 387.1 425.8 503.2 580.6 619.4 696.8 774.2 812.9 890.3 929.0 1006.5 1083.9 1122.6 1200.0 1006.5: 38.7 116.1 193.5 232.3 309.7 348.4 425.8 503.2 541.9 619.4 696.8 735.5 812.9 851.6 929.0 1006.5 1045.2 1122.6 1200.0 1045.2: 77.4 154.8 193.5 271.0 309.7 387.1 464.5 503.2 580.6 658.1 696.8 774.2 812.9 890.3 967.7 1006.5 1083.9 1161.3 1200.0 1122.6: 77.4 116.1 193.5 232.3 309.7 387.1 425.8 503.2 580.6 619.4 696.8 735.5 812.9 890.3 929.0 1006.5 1083.9 1122.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 38.7097 .. 77.4194 cents 38.70967 cents 38.70968 cents 2: 116.1290 .. 154.8387 cents 38.70968 cents 38.70968 cents 3: 154.8387 .. 193.5484 cents 38.70967 cents 1/1, 0.0000 cents 4: 232.2581 .. 270.9677 cents 38.70968 cents 38.70968 cents 5: 309.6774 .. 348.3871 cents 38.70968 cents 38.70968 cents 6: 348.3871 .. 387.0968 cents 38.70967 cents 1/1, 0.0000 cents 7: 425.8064 .. 464.5161 cents 38.70968 cents 38.70968 cents 8: 503.2258 .. 541.9355 cents 38.70967 cents 38.70968 cents 9: 541.9355 .. 580.6452 cents 38.70968 cents 1/1, 0.0000 cents 10: 619.3548 .. 658.0645 cents 38.70968 cents 38.70968 cents 11: 658.0645 .. 696.7742 cents 38.70967 cents 1/1, 0.0000 cents 12: 735.4839 .. 774.1936 cents 38.70968 cents 38.70968 cents 13: 812.9032 .. 851.6129 cents 38.70967 cents 38.70968 cents 14: 851.6129 .. 890.3226 cents 38.70968 cents 1/1, 0.0000 cents 15: 929.0323 .. 967.7419 cents 38.70967 cents 38.70968 cents 16: 1006.4516 .. 1045.1613 cents 38.70968 cents 38.70968 cents 17: 1045.1613 .. 1083.8710 cents 38.70968 cents 1/1, 0.0000 cents 18: 1122.5806 .. 1161.2903 cents 38.70967 cents 38.70968 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 38.70967 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 77.41935 cents Average / Smallest step : 1.631579 Largest / Average step : 1.225806 Largest / Smallest step : 2.000000 Median interval of one step : 77.41935 cents, amount: 12 Most common interval of one step : 77.41935 cents, amount: 12 Least squares average step : 61.84145 cents, oct.: 1174.98759 cents Scale is proper Scale has Myhill's property chromas: 38.70967 cents and 0.00001 cents, ratio: 3870967.090645 generators: 8 of 503.22581 cents and 696.77419 cents Scale is maximally even in 31-tone equal temperament ET pair of linear temperament : 12&19 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 31-tone equal temperament with octave 2/1 degrees: 1 3 4 6 8 9 11 13 14 16 17 19 21 22 24 26 27 29 31 generators: 13 and 18 Number of contiguous 1-step segments: 7 Scale is fully connected major-minor triadic in 31-tone equal temperament Step pattern alph. order: ABABBABBABABBABBABB Step pattern size order : SLSLLSLLSLSLLSLLSLL Interval vector is [ 7 12 14 7 17 9 10 16 7 15 11 8 18 7 13 ] Scale is not a Constant Structure Ratio Whole / Half tone : 1.666666 Scale diversity : 1.166262 Rothenberg stability : 0.877193 = 50/57 Lumma stability : 0.419355 Number of different interval sizes : 30 = 1.66667 / 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 : 38.70967 cents Most common intervals : 503.22581 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 503.226 1006.452 cents Most common triad is 0.0 503.226 696.774 cents, amount: 17 Number of recognisable fifths : 18, average 696.7742 cents Scale contains two identical conjunct "tetrachords" of 9 notes Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 7 = 36.8421% Limited inverse transpositions : 11 Inversional symmetry on degrees : 15 Inversional symmetry on intervals : 5-6 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
19: 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 N T3 SD: 43.8585 c. M: 61.1205 c. 20: 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 0 2 1 N D3 SD: 16.8848 c. M: 29.0323 c. 22: 1 1 1 1 2 0 2 1 1 1 1 1 2 1 1 1 1 2 1 N D3 S SD: 15.1737 c. M: 26.3930 c. 23: 1 1 1 1 2 1 1 2 0 2 1 1 2 0 2 1 1 2 1 N D3 S SD: 14.8791 c. M:-25.2454 c. 24: 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 P M ME S SD: 13.3722 c. M: 25.8064 c. 25: 1 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 P M ME S SD: 13.4517 c. M: 23.2258 c. 27: 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 2 1 1 2 P D3 S SD: 12.9785 c. M:-22.9391 c. 28: 1 2 1 1 2 1 2 2 1 1 1 2 2 1 2 1 1 2 2 N D3 SD: 12.3694 c. M: 20.7373 c. 29: 1 2 1 2 1 1 2 2 1 2 1 2 2 1 1 2 1 2 2 P D3 SD: 11.7888 c. M: 20.0222 c. 30: 1 2 1 2 2 1 2 2 1 1 1 2 2 1 2 2 1 2 2 N D3 SD: 11.5902 c. M: 19.3548 c. 31: 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 P M ME S SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 16.7644 cents 3 .. 6 match: 3 H SD: 11.0510 cents 4 .. 8 match: 4 H SD: 15.7685 cents 5 .. 10 match: 5 H SD: 7.7917 cents 6 .. 12 match: 6 H SD: 9.7739 cents 7 .. 14 match: 7 H SD: 5.9535 cents 8 .. 16 match: 8 H SD: 9.8188 cents 9 .. 18 match: 9 H SD: 6.6623 cents 10 .. 20 match: 10 H SD: 6.1561 cents 11 .. 22 match: 11 H SD: 3.3482 cents 12 .. 24 match: 12 H SD: 7.0416 cents 13 .. 26 match: 13 H SD: 4.8090 cents 14 .. 28 match: 14 H SD: 4.2107 cents 15 .. 30 match: 14 SD: 4.5672 cents 16 .. 32 match: 13 SD: 6.0891 cents 17 .. 34 match: 16 SD: 4.7278 cents 18 .. 36 match: 15 SD: 4.8418 cents 19 .. 38 match: 17 S SD: 4.1793 cents 20 .. 40 match: 15 SD: 4.2482 cents 21 .. 42 match: 16 S SD: 3.5382 cents 22 .. 44 match: 18 S SD: 3.7572 cents 23 .. 46 match: 16 SD: 3.8038 cents 24 .. 48 match: 17 SD: 3.6158 cents 25 .. 50 match: 18 SD: 3.5371 cents 26 .. 52 match: 18 SD: 3.4670 cents 27 .. 54 match: 18 SD: 3.1921 cents 28 .. 56 match: 19 SD: 2.8385 cents 29 .. 58 match: 18 SD: 3.0643 cents 30 .. 60 match: 19 SD: 2.1639 cents 35 .. 70 match: 19 SD: 1.9607 cents 36 .. 72 match: 18 SD: 2.0469 cents 37 .. 74 match: 18 SD: 2.4537 cents 39 .. 78 match: 19 SD: 2.1265 cents 40 .. 80 match: 19 SD: 2.0316 cents 41 .. 82 match: 19 SD: 1.5196 cents 54 .. 108 match: 19 SD: 1.3509 cents 55 .. 110 match: 19 SD: 1.3420 cents 57 .. 114 match: 19 SD: 1.2683 cents 62 .. 124 match: 19 SD: 1.2090 cents 68 .. 136 match: 19 SD: 1.1972 cents 71 .. 142 match: 19 SD: 1.0751 cents 72 .. 144 match: 19 SD: 0.9873 cents 76 .. 152 match: 19 SD: 0.8439 cents 82 .. 164 match: 19 SD: 0.8319 cents 85 .. 170 match: 19 SD: 0.8187 cents 86 .. 172 match: 19 SD: 0.7980 cents 89 .. 178 match: 19 SD: 0.7889 cents 93 .. 186 match: 19 SD: 0.7801 cents 97 .. 194 match: 19 SD: 0.7600 cents 98 .. 196 match: 19 SD: 0.6460 cents 104 .. 208 match: 19 SD: 0.6068 cents 117 .. 234 match: 19 SD: 0.5666 cents 127 .. 254 match: 19 SD: 0.5344 cents 128 .. 256 match: 19 SD: 0.5020 cents 139 .. 278 match: 19 SD: 0.4742 cents 147 .. 294 match: 19 SD: 0.4529 cents 160 .. 320 match: 19 SD: 0.4454 cents 162 .. 324 match: 19 SD: 0.4451 cents 169 .. 338 match: 19 SD: 0.3980 cents 172 .. 344 match: 19 SD: 0.3791 cents 175 .. 350 match: 19 SD: 0.3518 cents 193 .. 386 match: 19 SD: 0.3447 cents 214 .. 428 match: 19 SD: 0.2891 cents 255 .. 510 match: 19 SD: 0.2449 cents 270 .. 540 match: 19 SD: 0.2316 cents 300 .. 600 match: 19 SD: 0.2160 cents 341 .. 682 match: 19 SD: 0.2137 cents 342 .. 684 match: 19 SD: 0.1974 cents 359 .. 718 match: 19 SD: 0.1972 cents 362 .. 724 match: 19 SD: 0.1621 cents 404 .. 808 match: 19 SD: 0.1606 cents 430 .. 860 match: 19 SD: 0.1555 cents 439 .. 878 match: 19 SD: 0.1516 cents 444 .. 888 match: 19 SD: 0.1368 cents 480 .. 960 match: 19 SD: 0.1282 cents 516 .. 1032 match: 19 SD: 0.1252 cents 521 .. 1042 match: 19 SD: 0.1233 cents 534 .. 1068 match: 19 SD: 0.1199 cents 577 .. 1154 match: 19 SD: 0.1081 cents