Scala analysis: o3-parapyth17_g
O3 parapyth17 for Fokker block, key 14 like pipedum_17c.scl
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 57.422 cents 57.421880 2: 127.734 cents 127.734370 3: 208.594 cents 208.593750 4: 266.016 cents 266.015630 5: 346.875 cents 346.875010 6: 416.016 cents 416.015630 7: 473.438 cents 473.437510 8: 554.297 cents 554.296880 9: 623.438 cents 623.437500 10: 704.297 cents 704.296880 11: 761.719 cents 761.718760 12: 842.578 cents 842.578130 13: 911.719 cents 911.718750 14: 969.141 cents 969.140630 15: 1050.000 cents 1050.000000 16: 1119.141 cents 1119.140630 17: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 80.8594 cents 80.8594 1: 57.4219 cents 57.4219 2: 70.3125 cents 70.3125 3: 80.8594 cents 80.8594 4: 57.4219 cents 57.4219 5: 80.8594 cents 80.8594 6: 69.1406 cents 69.1406 7: 57.4219 cents 57.4219 8: 80.8594 cents 80.8594 9: 69.1406 cents 69.1406 10: 80.8594 cents 80.8594 11: 57.4219 cents 57.4219 12: 80.8594 cents 80.8594 13: 69.1406 cents 69.1406 14: 57.4219 cents 57.4219 15: 80.8594 cents 80.8594 16: 69.1406 cents 69.1406 17: 80.8594 cents 80.8594
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 57.42188 cents 1: 4 69.14062 cents 1: 1 70.31249 cents 1: 7 80.85938 cents 2: 2 126.56250 cents 2: 1 127.73437 cents 2: 7 138.28126 cents 2: 6 150.00000 cents 2: 1 151.17187 cents 3: 10 207.42188 cents 3: 3 208.59375 cents 3: 2 219.14064 cents 3: 2 230.85937 cents 4: 2 264.84376 cents 4: 1 266.01563 cents 4: 2 276.56249 cents 4: 1 277.73437 cents 4: 9 288.28126 cents 4: 2 289.45313 cents 5: 6 345.70314 cents 5: 2 346.87501 cents 5: 5 357.42187 cents 5: 3 358.59375 cents 5: 1 369.14062 cents 6: 5 414.84375 cents 6: 4 416.01563 cents 6: 3 426.56251 cents 6: 1 427.73438 cents 6: 3 438.28125 cents 6: 1 439.45312 cents 7: 1 473.43751 cents 7: 1 485.15624 cents 7: 10 495.70313 cents 7: 5 496.87500 cents 8: 3 553.12501 cents 8: 3 554.29688 cents 8: 2 564.84374 cents 8: 4 566.01562 cents 8: 4 576.56251 cents 8: 1 577.73438 cents 9: 1 622.26562 cents 9: 4 623.43750 cents 9: 4 633.98439 cents 9: 2 635.15626 cents 9: 3 645.70312 cents 9: 3 646.87500 cents 10: 5 703.12500 cents 10: 10 704.29688 cents 10: 1 714.84376 cents 10: 1 726.56249 cents 11: 1 760.54688 cents 11: 3 761.71876 cents 11: 1 772.26562 cents 11: 3 773.43749 cents 11: 4 783.98438 cents 11: 5 785.15625 cents 12: 1 830.85938 cents 12: 3 841.40626 cents 12: 5 842.57813 cents 12: 2 853.12500 cents 12: 6 854.29687 cents 13: 2 910.54688 cents 13: 9 911.71875 cents 13: 1 922.26563 cents 13: 2 923.43751 cents 13: 1 933.98437 cents 13: 2 935.15624 cents 14: 2 969.14063 cents 14: 2 980.85936 cents 14: 3 991.40626 cents 14: 10 992.57812 cents 15: 1 1048.82813 cents 15: 6 1050.00000 cents 15: 7 1061.71875 cents 15: 1 1072.26563 cents 15: 2 1073.43750 cents 16: 7 1119.14063 cents 16: 1 1129.68751 cents 16: 4 1130.85938 cents 16: 5 1142.57812 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 57.4 127.7 208.6 266.0 346.9 416.0 473.4 554.3 623.4 704.3 761.7 842.6 911.7 969.1 1050.0 1119.1 1200.0 57.4 : 70.3 151.2 208.6 289.5 358.6 416.0 496.9 566.0 646.9 704.3 785.2 854.3 911.7 992.6 1061.7 1142.6 1200.0 127.7 : 80.9 138.3 219.1 288.3 345.7 426.6 495.7 576.6 634.0 714.8 784.0 841.4 922.3 991.4 1072.3 1129.7 1200.0 208.6 : 57.4 138.3 207.4 264.8 345.7 414.8 495.7 553.1 634.0 703.1 760.5 841.4 910.5 991.4 1048.8 1119.1 1200.0 266.0 : 80.9 150.0 207.4 288.3 357.4 438.3 495.7 576.6 645.7 703.1 784.0 853.1 934.0 991.4 1061.7 1142.6 1200.0 346.9 : 69.1 126.6 207.4 276.6 357.4 414.8 495.7 564.8 622.3 703.1 772.3 853.1 910.5 980.9 1061.7 1119.1 1200.0 416.0 : 57.4 138.3 207.4 288.3 345.7 426.6 495.7 553.1 634.0 703.1 784.0 841.4 911.7 992.6 1050.0 1130.9 1200.0 473.4 : 80.9 150.0 230.9 288.3 369.1 438.3 495.7 576.6 645.7 726.6 784.0 854.3 935.2 992.6 1073.4 1142.6 1200.0 554.3 : 69.1 150.0 207.4 288.3 357.4 414.8 495.7 564.8 645.7 703.1 773.4 854.3 911.7 992.6 1061.7 1119.1 1200.0 623.4 : 80.9 138.3 219.1 288.3 345.7 426.6 495.7 576.6 634.0 704.3 785.2 842.6 923.4 992.6 1050.0 1130.9 1200.0 704.3 : 57.4 138.3 207.4 264.8 345.7 414.8 495.7 553.1 623.4 704.3 761.7 842.6 911.7 969.1 1050.0 1119.1 1200.0 761.7 : 80.9 150.0 207.4 288.3 357.4 438.3 495.7 566.0 646.9 704.3 785.2 854.3 911.7 992.6 1061.7 1142.6 1200.0 842.6 : 69.1 126.6 207.4 276.6 357.4 414.8 485.2 566.0 623.4 704.3 773.4 830.9 911.7 980.9 1061.7 1119.1 1200.0 911.7 : 57.4 138.3 207.4 288.3 345.7 416.0 496.9 554.3 635.2 704.3 761.7 842.6 911.7 992.6 1050.0 1130.9 1200.0 969.1 : 80.9 150.0 230.9 288.3 358.6 439.5 496.9 577.7 646.9 704.3 785.2 854.3 935.2 992.6 1073.4 1142.6 1200.0 1050.0: 69.1 150.0 207.4 277.7 358.6 416.0 496.9 566.0 623.4 704.3 773.4 854.3 911.7 992.6 1061.7 1119.1 1200.0 1119.1: 80.9 138.3 208.6 289.5 346.9 427.7 496.9 554.3 635.2 704.3 785.2 842.6 923.4 992.6 1050.0 1130.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 57.4219 .. 80.8594 cents 23.43750 cents 57.42188 cents 2: 126.5625 .. 151.1719 cents 24.60937 cents 45.70312 cents 3: 207.4219 .. 230.8594 cents 23.43749 cents 56.25001 cents 4: 264.8438 .. 289.4531 cents 24.60937 cents 33.98439 cents 5: 345.7031 .. 369.1406 cents 23.43748 cents 56.25001 cents 6: 414.8438 .. 439.4531 cents 24.60937 cents 45.70313 cents 7: 473.4375 .. 496.8750 cents 23.43749 cents 33.98439 cents 8: 553.1250 .. 577.7344 cents 24.60937 cents 56.25001 cents 9: 622.2656 .. 646.8750 cents 24.60938 cents 44.53124 cents 10: 703.1250 .. 726.5625 cents 23.43749 cents 56.25000 cents 11: 760.5469 .. 785.1563 cents 24.60937 cents 33.98439 cents 12: 830.8594 .. 854.2969 cents 23.43749 cents 45.70313 cents 13: 910.5469 .. 935.1562 cents 24.60936 cents 56.25001 cents 14: 969.1406 .. 992.5781 cents 23.43749 cents 33.98439 cents 15: 1048.8281 .. 1073.4375 cents 24.60937 cents 56.25001 cents 16: 1119.1406 .. 1142.5781 cents 23.43749 cents 45.70313 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 57.42188 cents, class 1 Average step (divided formal octave): 70.5882 cents Largest one step interval : 80.85938 cents Average / Smallest step : 1.229292 Largest / Average step : 1.145508 Largest / Smallest step : 1.408163 Median interval of one step : 69.14062 cents, amount: 4 Most common interval of one step : 80.85938 cents, amount: 7 Least squares average step : 69.80502 cents, oct.: 1186.68527 cents Scale is strictly proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 49 109 178 227 296 355 404 473 532 601 650 719 778 827 896 955 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 783 of 917.578 cents and inv. generated superset size: 301 = 284 more = 1770.588% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCACDACDCACDACDC Step pattern size order : ACDADBADBDADBADBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 33.98439 cents Scale diversity : 1.228396 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.679688 Number of different interval sizes : 80 = 5.00000 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 5.00000 = 5 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 1.17186 cents Number of recognisable fifths : 16, average 704.5898 cents Number of appreciable fifths : 15, average 703.9063 cents Best fifths form a closed circle Formal octave complements present : 1 = 5.8824% Limited transpositions with margin 23.4375 cents: 12 Limited inverse transpositions with margin 23.4375 cents: 7 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
17: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 11.4382 c. M:-20.6801 c. 29: 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 P M ME S SD: 12.1586 c. M: 18.2651 c. 30: 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 P D3 SD: 10.6287 c. M: 17.4219 c. 31: 1 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 P D3 SD: 10.0403 c. M: 18.7122 c. 37: 2 2 2 2 3 2 2 2 2 3 1 3 2 2 2 3 2 P D3 SD: 9.1528 c. M:-15.9945 c. 38: 2 2 3 1 3 2 2 3 2 2 2 3 2 2 2 2 3 P D3 SD: 8.5413 c. M:-14.1242 c. 41: 2 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3 SP M ME S SD: 5.0586 c. M: 10.6612 c. 46: 2 3 3 2 3 3 2 3 3 3 2 3 3 2 3 3 3 SP M ME S SD: 4.4807 c. M: 7.7955 c. 58: 3 3 4 3 4 3 3 4 3 4 3 4 3 3 4 3 4 SP M ME S SD: 3.4064 c. M:-5.6977 c. 63: 3 4 4 3 4 4 3 4 4 4 3 4 4 3 4 4 4 SP M ME S SD: 3.0224 c. M:-5.5990 c. 87: 4 5 6 4 6 5 4 6 5 6 4 6 5 4 6 5 6 SP T3 SD: 2.5794 c. M: 4.4720 c. 104: 5 6 7 5 7 6 5 7 6 7 5 7 6 5 7 6 7 SP T3 SD: 0.4653 c. M: 0.9014 c. 433: 21 25 29 21 29 25 21 29 25 29 21 29 25 21 29 25 29 SP T3 SD: 0.4288 c. M:-0.8363 c. 537: 26 31 36 26 36 31 26 36 31 36 26 36 31 26 36 31 36 SP T3 SD: 0.3965 c. M: 0.7725 c. 591: 28 35 40 28 40 34 28 40 34 40 28 40 34 28 40 34 40 SP SD: 0.3141 c. M: 0.6127 c. 608: 29 36 41 29 41 35 29 41 35 41 29 41 35 29 41 35 41 SP SD: 0.3184 c. M:-0.6168 c. 695: 33 41 47 33 47 40 33 47 40 47 33 47 40 33 47 40 47 SP SD: 0.2420 c. M: 0.5075 c. 712: 34 42 48 34 48 41 34 48 41 48 34 48 41 34 48 41 48 SP SD: 0.2039 c. M:-0.3950 c. 816: 39 48 55 39 55 47 39 55 47 55 39 55 47 39 55 47 55 SP SD: 0.1186 c. M:-0.2298 c. 920: 44 54 62 44 62 53 44 62 53 62 44 62 53 44 62 53 62 SP SD: 0.0526 c. M:-0.1019 c. 1024: 49 60 69 49 69 59 49 69 59 69 49 69 59 49 69 59 69 SP 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: 1.1709 cents 3 .. 6 match: 3 H SD: 12.2660 cents 4 .. 8 match: 4 H SD: 7.4489 cents 5 .. 10 match: 5 H SD: 12.0936 cents 6 .. 12 match: 6 H SD: 6.1480 cents 7 .. 14 match: 7 H SD: 6.8060 cents 8 .. 16 match: 8 H SD: 5.4139 cents 9 .. 18 match: 9 H SD: 6.3615 cents 10 .. 20 match: 10 H SD: 7.4374 cents 11 .. 22 match: 11 H SD: 4.9126 cents 12 .. 24 match: 12 H SD: 5.2538 cents 13 .. 26 match: 13 H SD: 4.0946 cents 14 .. 28 match: 14 H SD: 5.0110 cents 15 .. 30 match: 14 S SD: 6.4201 cents 16 .. 32 match: 15 SD: 4.0580 cents 17 .. 34 match: 14 S SD: 5.6492 cents 18 .. 36 match: 16 S SD: 4.4252 cents 19 .. 38 match: 16 SD: 4.5313 cents 20 .. 40 match: 16 SD: 5.2520 cents 21 .. 42 match: 16 SD: 4.7078 cents 22 .. 44 match: 17 SD: 3.5521 cents 23 .. 46 match: 17 SD: 3.0654 cents 26 .. 52 match: 17 SD: 2.8383 cents 29 .. 58 match: 17 SD: 2.5620 cents 30 .. 60 match: 17 SD: 2.5274 cents 32 .. 64 match: 17 SD: 2.0834 cents 37 .. 74 match: 17 SD: 2.0287 cents 40 .. 80 match: 17 SD: 1.8267 cents 48 .. 96 match: 17 SD: 1.5319 cents 53 .. 106 match: 17 SD: 1.3493 cents 54 .. 108 match: 17 SD: 1.2570 cents 55 .. 110 match: 17 SD: 1.2456 cents 64 .. 128 match: 17 SD: 1.1265 cents 67 .. 134 match: 17 SD: 1.0447 cents 77 .. 154 match: 17 SD: 0.9893 cents 78 .. 156 match: 17 SD: 0.9737 cents 80 .. 160 match: 17 SD: 0.9346 cents 85 .. 170 match: 17 SD: 0.7908 cents 92 .. 184 match: 17 SD: 0.7162 cents 108 .. 216 match: 17 SD: 0.6216 cents 117 .. 234 match: 17 SD: 0.5975 cents 127 .. 254 match: 17 SD: 0.5960 cents 139 .. 278 match: 17 SD: 0.5779 cents 140 .. 280 match: 17 SD: 0.4620 cents 143 .. 286 match: 17 SD: 0.4166 cents 180 .. 360 match: 17 SD: 0.3546 cents 185 .. 370 match: 17 SD: 0.3479 cents 209 .. 418 match: 17 SD: 0.3461 cents 210 .. 420 match: 17 SD: 0.3239 cents 212 .. 424 match: 17 SD: 0.3160 cents 217 .. 434 match: 17 SD: 0.2999 cents 233 .. 466 match: 17 SD: 0.2958 cents 235 .. 470 match: 17 SD: 0.2154 cents 325 .. 650 match: 17 SD: 0.2098 cents 349 .. 698 match: 17 SD: 0.2089 cents 353 .. 706 match: 17 SD: 0.1817 cents 391 .. 782 match: 17 SD: 0.1774 cents 392 .. 784 match: 17 SD: 0.1675 cents 416 .. 832 match: 17 SD: 0.1322 cents 445 .. 890 match: 17 SD: 0.1223 cents 537 .. 1074 match: 17 SD: 0.1168 cents 560 .. 1120 match: 17 SD: 0.1110 cents