Scala analysis: met24-parapyth17-fokker_g
MET-24 parapyth for Keenan Pepper's JI 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 57.421870 2: 125.391 cents 125.390620 3: 207.422 cents 207.421870 4: 264.844 cents 264.843750 5: 345.703 cents 345.703120 6: 414.844 cents 414.843750 7: 472.266 cents 472.265620 8: 553.125 cents 553.125000 9: 622.266 cents 622.265620 10: 703.125 cents 703.124990 11: 760.547 cents 760.546870 12: 842.578 cents 842.578120 13: 910.547 cents 910.546870 14: 967.969 cents 967.968750 15: 1050.000 cents 1050.000000 16: 1117.969 cents 1117.968750 17: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 82.0313 cents 82.0313 1: 57.4219 cents 57.4219 2: 67.9687 cents 67.9687 3: 82.0313 cents 82.0313 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: 82.0313 cents 82.0313 13: 67.9687 cents 67.9687 14: 57.4219 cents 57.4219 15: 82.0313 cents 82.0313 16: 67.9687 cents 67.9687 17: 82.0313 cents 82.0313
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 57.42187 cents 1: 3 67.96875 cents 1: 2 69.14063 cents 1: 3 80.85937 cents 1: 4 82.03125 cents 2: 2 125.39062 cents 2: 1 126.56250 cents 2: 3 138.28125 cents 2: 4 139.45313 cents 2: 7 150.00000 cents 3: 13 207.42187 cents 3: 2 220.31250 cents 3: 1 230.85937 cents 3: 1 232.03125 cents 4: 3 264.84375 cents 4: 2 275.39063 cents 4: 1 276.56250 cents 4: 5 288.28125 cents 4: 6 289.45313 cents 5: 4 345.70312 cents 5: 4 346.87500 cents 5: 8 357.42188 cents 5: 1 370.31250 cents 6: 9 414.84375 cents 6: 4 427.73438 cents 6: 2 438.28124 cents 6: 2 439.45313 cents 7: 1 472.26562 cents 7: 1 482.81250 cents 7: 7 495.70313 cents 7: 8 496.87500 cents 8: 3 553.12500 cents 8: 3 554.29688 cents 8: 6 564.84375 cents 8: 5 577.73437 cents 9: 5 622.26562 cents 9: 6 635.15625 cents 9: 3 645.70312 cents 9: 3 646.87500 cents 10: 8 703.12499 cents 10: 7 704.29688 cents 10: 1 717.18750 cents 10: 1 727.73438 cents 11: 2 760.54687 cents 11: 2 761.71876 cents 11: 4 772.26563 cents 11: 9 785.15625 cents 12: 1 829.68750 cents 12: 8 842.57812 cents 12: 4 853.12500 cents 12: 4 854.29688 cents 13: 6 910.54687 cents 13: 5 911.71875 cents 13: 1 923.43750 cents 13: 2 924.60938 cents 13: 3 935.15625 cents 14: 1 967.96875 cents 14: 1 969.14063 cents 14: 2 979.68750 cents 14: 13 992.57813 cents 15: 7 1050.00000 cents 15: 4 1060.54688 cents 15: 3 1061.71875 cents 15: 1 1073.43750 cents 15: 2 1074.60938 cents 16: 4 1117.96875 cents 16: 3 1119.14063 cents 16: 2 1130.85937 cents 16: 3 1132.03125 cents 16: 5 1142.57813 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.37500 = 35/8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 57.4 125.4 207.4 264.8 345.7 414.8 472.3 553.1 622.3 703.1 760.5 842.6 910.5 968.0 1050.0 1118.0 1200.0 57.4 : 68.0 150.0 207.4 288.3 357.4 414.8 495.7 564.8 645.7 703.1 785.2 853.1 910.5 992.6 1060.5 1142.6 1200.0 125.4 : 82.0 139.5 220.3 289.5 346.9 427.7 496.9 577.7 635.2 717.2 785.2 842.6 924.6 992.6 1074.6 1132.0 1200.0 207.4 : 57.4 138.3 207.4 264.8 345.7 414.8 495.7 553.1 635.2 703.1 760.5 842.6 910.5 992.6 1050.0 1118.0 1200.0 264.8 : 80.9 150.0 207.4 288.3 357.4 438.3 495.7 577.7 645.7 703.1 785.2 853.1 935.2 992.6 1060.5 1142.6 1200.0 345.7 : 69.1 126.6 207.4 276.6 357.4 414.8 496.9 564.8 622.3 704.3 772.3 854.3 911.7 979.7 1061.7 1119.1 1200.0 414.8 : 57.4 138.3 207.4 288.3 345.7 427.7 495.7 553.1 635.2 703.1 785.2 842.6 910.5 992.6 1050.0 1130.9 1200.0 472.3 : 80.9 150.0 230.9 288.3 370.3 438.3 495.7 577.7 645.7 727.7 785.2 853.1 935.2 992.6 1073.4 1142.6 1200.0 553.1 : 69.1 150.0 207.4 289.5 357.4 414.8 496.9 564.8 646.9 704.3 772.3 854.3 911.7 992.6 1061.7 1119.1 1200.0 622.3 : 80.9 138.3 220.3 288.3 345.7 427.7 495.7 577.7 635.2 703.1 785.2 842.6 923.4 992.6 1050.0 1130.9 1200.0 703.1 : 57.4 139.5 207.4 264.8 346.9 414.8 496.9 554.3 622.3 704.3 761.7 842.6 911.7 969.1 1050.0 1119.1 1200.0 760.5 : 82.0 150.0 207.4 289.5 357.4 439.5 496.9 564.8 646.9 704.3 785.2 854.3 911.7 992.6 1061.7 1142.6 1200.0 842.6 : 68.0 125.4 207.4 275.4 357.4 414.8 482.8 564.8 622.3 703.1 772.3 829.7 910.5 979.7 1060.5 1118.0 1200.0 910.5 : 57.4 139.5 207.4 289.5 346.9 414.8 496.9 554.3 635.2 704.3 761.7 842.6 911.7 992.6 1050.0 1132.0 1200.0 968.0 : 82.0 150.0 232.0 289.5 357.4 439.5 496.9 577.7 646.9 704.3 785.2 854.3 935.2 992.6 1074.6 1142.6 1200.0 1050.0: 68.0 150.0 207.4 275.4 357.4 414.8 495.7 564.8 622.3 703.1 772.3 853.1 910.5 992.6 1060.5 1118.0 1200.0 1118.0: 82.0 139.5 207.4 289.5 346.9 427.7 496.9 554.3 635.2 704.3 785.2 842.6 924.6 992.6 1050.0 1132.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 57.4219 .. 82.0313 cents 24.60938 cents 57.42187 cents 2: 125.3906 .. 150.0000 cents 24.60938 cents 43.35937 cents 3: 207.4219 .. 232.0312 cents 24.60938 cents 57.42187 cents 4: 264.8438 .. 289.4531 cents 24.60938 cents 32.81250 cents 5: 345.7031 .. 370.3125 cents 24.60938 cents 56.24999 cents 6: 414.8438 .. 439.4531 cents 24.60938 cents 44.53125 cents 7: 472.2656 .. 496.8750 cents 24.60938 cents 32.81249 cents 8: 553.1250 .. 577.7344 cents 24.60937 cents 56.25000 cents 9: 622.2656 .. 646.8750 cents 24.60938 cents 44.53125 cents 10: 703.1250 .. 727.7344 cents 24.60939 cents 56.24999 cents 11: 760.5469 .. 785.1563 cents 24.60938 cents 32.81249 cents 12: 829.6875 .. 854.2969 cents 24.60938 cents 44.53125 cents 13: 910.5469 .. 935.1562 cents 24.60938 cents 56.24999 cents 14: 967.9687 .. 992.5781 cents 24.60938 cents 32.81250 cents 15: 1050.0000 .. 1074.6094 cents 24.60938 cents 57.42187 cents 16: 1117.9687 .. 1142.5781 cents 24.60938 cents 43.35937 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 57.42187 cents, class 1 Average step (divided formal octave): 70.5882 cents Largest one step interval : 82.03125 cents Average / Smallest step : 1.229292 Largest / Average step : 1.162109 Largest / Smallest step : 1.428572 Median interval of one step : 69.14063 cents, amount: 2 Most common interval of one step : 57.42187 cents, amount: 5 Least squares average step : 69.73280 cents, oct.: 1185.45759 cents Scale is strictly proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 49 107 177 226 295 354 403 472 531 600 649 719 777 826 896 954 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 831 of 973.828 cents and inv. generated superset size: 262 = 245 more = 1541.176% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCADEADEDACBACBC Step pattern size order : ABEADCADCDAEBAEBE Scale is a Constant Structure, by a margin of 32.81249 cents Scale diversity : 1.229929 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.671875 Number of different interval sizes : 70 = 4.37500 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.37500 = 35/8 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 1.17187 cents Most common intervals : 207.42187 cents & inv., amount: 13 Most common triad is 0.0 207.422 992.578 cents, amount: 9 Number of recognisable fifths : 16, average 704.5166 cents Number of appreciable fifths : 15, average 703.6719 cents Best fifths form a closed circle Formal octave complements present : 1 = 5.8824% Limited inverse transpositions with margin 24.6094 cents: 2 -- 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: 12.3868 c. M:-21.8520 c. 27: 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1 2 P M ME S SD: 11.9351 c. M: 21.6580 c. 28: 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 P M ME S SD: 12.1235 c. M:-21.4286 c. 29: 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 P M ME S SD: 11.5114 c. M: 17.0932 c. 30: 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 P D3 SD: 10.8801 c. M:-17.7344 c. 31: 1 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 P M ME S SD: 10.1430 c. M: 20.2243 c. 37: 2 2 2 2 3 2 2 2 2 3 1 3 2 2 2 2 3 SP D3 S SD: 9.1116 c. M: 15.2660 c. 38: 2 2 3 1 3 2 2 3 2 2 2 3 2 2 2 2 3 P D3 SD: 8.6196 c. M:-15.2961 c. 40: 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3 2 3 SP M ME S SD: 8.2690 c. M: 15.7031 c. 41: 2 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3 SP M ME S SD: 4.3309 c. M: 8.3174 c. 46: 2 3 3 2 3 3 2 3 3 3 2 3 3 2 3 3 3 SP M ME S SD: 4.3324 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: 3.6603 c. M:-6.0210 c. 83: 4 5 5 4 6 5 4 5 5 6 4 5 5 4 6 4 6 SP SD: 3.8891 c. M:-5.7182 c. 86: 4 5 6 4 6 5 4 6 5 5 5 5 5 4 6 5 6 SP SD: 3.8536 c. M:-6.8950 c. 87: 4 5 6 4 6 5 4 6 5 6 4 6 5 4 6 5 6 SP T3 SD: 1.6559 c. M: 3.3001 c. 104: 5 6 7 5 7 6 5 7 6 7 5 7 6 5 7 6 7 SP T3 SD: 0.7994 c. M:-1.5325 c. 191: 9 11 13 9 13 11 9 13 11 13 9 13 11 9 13 11 13 SP T3 SD: 0.5489 c. M: 1.0614 c. 295: 14 17 20 14 20 17 14 20 17 20 14 20 17 14 20 17 20 SP T3 SD: 0.4159 c. M:-0.7111 c. 440: 21 25 30 21 30 25 21 30 25 30 21 30 25 21 30 25 30 SP T3 SD: 0.3397 c. M:-0.6605 c. 538: 26 30 37 26 36 31 26 36 31 36 26 37 30 26 37 30 37 SP SD: 0.3951 c. M:-0.5968 c. 544: 26 31 37 26 37 31 26 37 31 37 26 37 31 26 37 31 37 SP T3 SD: 0.3479 c. M:-0.6204 c. 584: 28 33 40 28 39 34 28 39 34 39 28 40 33 28 40 33 40 SP SD: 0.2559 c. M: 0.4976 c. 671: 32 38 46 32 45 39 32 45 39 45 32 46 38 32 46 38 46 SP SD: 0.2945 c. M: 0.5466 c. 688: 33 39 47 33 46 40 33 46 40 46 33 47 39 33 47 39 47 SP SD: 0.2189 c. M:-0.4088 c. 729: 35 41 50 35 49 42 35 49 42 49 35 50 41 35 50 41 50 SP SD: 0.1683 c. M: 0.2877 c. 775: 37 44 53 37 52 45 37 52 45 52 37 53 44 37 53 44 53 SP SD: 0.1945 c. M: 0.4128 c. 816: 39 46 56 39 55 47 39 55 47 55 39 56 46 39 56 46 56 SP SD: 0.2038 c. M: 0.3906 c. 833: 40 47 57 40 56 48 40 56 48 56 40 57 47 40 57 47 57 SP SD: 0.1259 c. M:-0.2434 c. 920: 44 52 63 44 62 53 44 62 53 62 44 63 52 44 63 52 63 SP SD: 0.0904 c. M: 0.1732 c. 1024: 49 58 70 49 69 59 49 69 59 69 49 70 58 49 70 58 70 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: 0.5850 cents 3 .. 6 match: 3 H SD: 12.2492 cents 4 .. 8 match: 4 H SD: 7.1417 cents 5 .. 10 match: 5 H SD: 12.0865 cents 6 .. 12 match: 6 H SD: 6.1380 cents 7 .. 14 match: 7 H SD: 7.0843 cents 8 .. 16 match: 8 H SD: 5.1810 cents 9 .. 18 match: 9 H SD: 6.3649 cents 10 .. 20 match: 10 H SD: 7.5232 cents 11 .. 22 match: 11 H SD: 5.0182 cents 12 .. 24 match: 12 H SD: 5.2780 cents 13 .. 26 match: 13 H SD: 4.1808 cents 14 .. 28 match: 13 S SD: 4.7624 cents 15 .. 30 match: 13 SD: 6.1555 cents 16 .. 32 match: 15 SD: 4.0423 cents 17 .. 34 match: 14 S SD: 5.5004 cents 18 .. 36 match: 16 SD: 4.3514 cents 19 .. 38 match: 15 SD: 4.2948 cents 20 .. 40 match: 16 SD: 5.2699 cents 21 .. 42 match: 16 SD: 4.9272 cents 22 .. 44 match: 17 S SD: 3.6488 cents 23 .. 46 match: 17 SD: 3.1620 cents 26 .. 52 match: 17 SD: 2.7767 cents 29 .. 58 match: 17 SD: 2.5908 cents 30 .. 60 match: 17 SD: 2.4775 cents 32 .. 64 match: 17 SD: 1.9887 cents 40 .. 80 match: 17 SD: 1.8612 cents 48 .. 96 match: 17 SD: 1.6246 cents 53 .. 106 match: 17 SD: 1.4406 cents 54 .. 108 match: 17 SD: 1.2013 cents 55 .. 110 match: 17 SD: 1.1907 cents 56 .. 112 match: 17 SD: 1.1888 cents 64 .. 128 match: 17 SD: 1.0810 cents 67 .. 134 match: 17 SD: 1.0355 cents 78 .. 156 match: 17 SD: 0.9364 cents 80 .. 160 match: 17 SD: 0.9101 cents 85 .. 170 match: 17 SD: 0.8158 cents 92 .. 184 match: 17 SD: 0.7785 cents 95 .. 190 match: 17 SD: 0.7620 cents 96 .. 192 match: 17 SD: 0.6661 cents 108 .. 216 match: 17 SD: 0.6644 cents 118 .. 236 match: 17 SD: 0.5786 cents 140 .. 280 match: 17 SD: 0.5389 cents 143 .. 286 match: 17 SD: 0.5311 cents 144 .. 288 match: 17 SD: 0.4769 cents 150 .. 300 match: 17 SD: 0.4476 cents 172 .. 344 match: 17 SD: 0.4242 cents 175 .. 350 match: 17 SD: 0.4114 cents 176 .. 352 match: 17 SD: 0.3849 cents 188 .. 376 match: 17 SD: 0.3733 cents 199 .. 398 match: 17 SD: 0.3423 cents 204 .. 408 match: 17 SD: 0.3144 cents 236 .. 472 match: 17 SD: 0.1999 cents 303 .. 606 match: 17 SD: 0.1952 cents 321 .. 642 match: 17 SD: 0.1791 cents 386 .. 772 match: 17 SD: 0.1693 cents 399 .. 798 match: 17 SD: 0.1653 cents 411 .. 822 match: 17 SD: 0.1606 cents 439 .. 878 match: 17 SD: 0.1445 cents 495 .. 990 match: 17 SD: 0.1429 cents 507 .. 1014 match: 17 SD: 0.1259 cents 558 .. 1116 match: 17 SD: 0.1174 cents 587 .. 1174 match: 17 SD: 0.0981 cents