Scala analysis: met24pote
MET-24 parapyth temperament Fokker block in POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.338 cents 58.338460 2: 126.994 cents 126.994160 3: 185.333 cents 185.332610 4: 207.713 cents 207.712620 5: 266.051 cents 266.051070 6: 288.431 cents 288.431080 7: 346.770 cents 346.769530 8: 415.425 cents 415.425230 9: 473.764 cents 473.763690 10: 496.144 cents 496.143690 11: 554.482 cents 554.482150 12: 623.138 cents 623.137850 13: 681.476 cents 681.476310 14: 703.856 cents 703.856310 15: 762.195 cents 762.194760 16: 830.850 cents 830.850470 17: 889.189 cents 889.188920 18: 911.569 cents 911.568920 19: 969.907 cents 969.907380 20: 992.287 cents 992.287380 21: 1050.626 cents 1050.625840 22: 1119.282 cents 1119.281540 23: 1177.620 cents 1177.620000 24: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 22.3800 cents 22.3800 1: 58.3385 cents 58.3385 2: 68.6557 cents 68.6557 3: 58.3384 cents 58.3384 4: 22.3800 cents 22.3800 5: 58.3384 cents 58.3384 6: 22.3800 cents 22.3800 7: 58.3384 cents 58.3384 8: 68.6557 cents 68.6557 9: 58.3385 cents 58.3385 10: 22.3800 cents 22.3800 11: 58.3385 cents 58.3385 12: 68.6557 cents 68.6557 13: 58.3385 cents 58.3385 14: 22.3800 cents 22.3800 15: 58.3384 cents 58.3384 16: 68.6557 cents 68.6557 17: 58.3385 cents 58.3385 18: 22.3800 cents 22.3800 19: 58.3385 cents 58.3385 20: 22.3800 cents 22.3800 21: 58.3385 cents 58.3385 22: 68.6557 cents 68.6557 23: 58.3385 cents 58.3385 24: 22.3800 cents 22.3800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 22.38001 cents 1: 12 58.33846 cents 1: 5 68.65570 cents 2: 14 80.71846 cents 2: 10 126.99416 cents 3: 2 103.09847 cents 3: 7 139.05691 cents 3: 10 149.37416 cents 3: 5 185.33261 cents 4: 4 161.43692 cents 4: 20 207.71262 cents 5: 2 219.77537 cents 5: 9 230.09262 cents 5: 10 266.05107 cents 5: 3 276.36832 cents 6: 18 288.43108 cents 6: 6 334.70677 cents 7: 4 310.81108 cents 7: 9 346.76953 cents 7: 8 357.08677 cents 7: 3 393.04523 cents 8: 8 369.14953 cents 8: 16 415.42523 cents 9: 4 427.48799 cents 9: 11 437.80523 cents 9: 8 473.76369 cents 9: 1 484.08094 cents 10: 22 496.14369 cents 10: 2 542.41939 cents 11: 6 518.52370 cents 11: 11 554.48215 cents 11: 6 564.79939 cents 11: 1 600.75784 cents 12: 12 576.86215 cents 12: 12 623.13785 cents 13: 1 599.24216 cents 13: 6 635.20060 cents 13: 11 645.51785 cents 13: 6 681.47631 cents 14: 2 657.58061 cents 14: 22 703.85631 cents 15: 1 715.91906 cents 15: 8 726.23631 cents 15: 11 762.19476 cents 15: 4 772.51201 cents 16: 16 784.57476 cents 16: 8 830.85047 cents 17: 3 806.95477 cents 17: 8 842.91322 cents 17: 9 853.23046 cents 17: 4 889.18892 cents 18: 6 865.29322 cents 18: 18 911.56892 cents 19: 3 923.63168 cents 19: 10 933.94892 cents 19: 9 969.90738 cents 19: 2 980.22463 cents 20: 20 992.28738 cents 20: 4 1038.56308 cents 21: 5 1014.66739 cents 21: 10 1050.62584 cents 21: 7 1060.94308 cents 21: 2 1096.90153 cents 22: 10 1073.00584 cents 22: 14 1119.28154 cents 23: 5 1131.34430 cents 23: 12 1141.66154 cents 23: 7 1177.62000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 2.95652 = 68/23
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 23 24 0.0 : 58.3 127.0 185.3 207.7 266.1 288.4 346.8 415.4 473.8 496.1 554.5 623.1 681.5 703.9 762.2 830.9 889.2 911.6 969.9 992.3 1050.6 1119.3 1177.6 1200.0 58.3 : 68.7 127.0 149.4 207.7 230.1 288.4 357.1 415.4 437.8 496.1 564.8 623.1 645.5 703.9 772.5 830.9 853.2 911.6 933.9 992.3 1060.9 1119.3 1141.7 1200.0 127.0 : 58.3 80.7 139.1 161.4 219.8 288.4 346.8 369.1 427.5 496.1 554.5 576.9 635.2 703.9 762.2 784.6 842.9 865.3 923.6 992.3 1050.6 1073.0 1131.3 1200.0 185.3 : 22.4 80.7 103.1 161.4 230.1 288.4 310.8 369.1 437.8 496.1 518.5 576.9 645.5 703.9 726.2 784.6 807.0 865.3 933.9 992.3 1014.7 1073.0 1141.7 1200.0 207.7 : 58.3 80.7 139.1 207.7 266.1 288.4 346.8 415.4 473.8 496.1 554.5 623.1 681.5 703.9 762.2 784.6 842.9 911.6 969.9 992.3 1050.6 1119.3 1177.6 1200.0 266.1 : 22.4 80.7 149.4 207.7 230.1 288.4 357.1 415.4 437.8 496.1 564.8 623.1 645.5 703.9 726.2 784.6 853.2 911.6 933.9 992.3 1060.9 1119.3 1141.7 1200.0 288.4 : 58.3 127.0 185.3 207.7 266.1 334.7 393.0 415.4 473.8 542.4 600.8 623.1 681.5 703.9 762.2 830.9 889.2 911.6 969.9 1038.6 1096.9 1119.3 1177.6 1200.0 346.8 : 68.7 127.0 149.4 207.7 276.4 334.7 357.1 415.4 484.1 542.4 564.8 623.1 645.5 703.9 772.5 830.9 853.2 911.6 980.2 1038.6 1060.9 1119.3 1141.7 1200.0 415.4 : 58.3 80.7 139.1 207.7 266.1 288.4 346.8 415.4 473.8 496.1 554.5 576.9 635.2 703.9 762.2 784.6 842.9 911.6 969.9 992.3 1050.6 1073.0 1131.3 1200.0 473.8 : 22.4 80.7 149.4 207.7 230.1 288.4 357.1 415.4 437.8 496.1 518.5 576.9 645.5 703.9 726.2 784.6 853.2 911.6 933.9 992.3 1014.7 1073.0 1141.7 1200.0 496.1 : 58.3 127.0 185.3 207.7 266.1 334.7 393.0 415.4 473.8 496.1 554.5 623.1 681.5 703.9 762.2 830.9 889.2 911.6 969.9 992.3 1050.6 1119.3 1177.6 1200.0 554.5 : 68.7 127.0 149.4 207.7 276.4 334.7 357.1 415.4 437.8 496.1 564.8 623.1 645.5 703.9 772.5 830.9 853.2 911.6 933.9 992.3 1060.9 1119.3 1141.7 1200.0 623.1 : 58.3 80.7 139.1 207.7 266.1 288.4 346.8 369.1 427.5 496.1 554.5 576.9 635.2 703.9 762.2 784.6 842.9 865.3 923.6 992.3 1050.6 1073.0 1131.3 1200.0 681.5 : 22.4 80.7 149.4 207.7 230.1 288.4 310.8 369.1 437.8 496.1 518.5 576.9 645.5 703.9 726.2 784.6 807.0 865.3 933.9 992.3 1014.7 1073.0 1141.7 1200.0 703.9 : 58.3 127.0 185.3 207.7 266.1 288.4 346.8 415.4 473.8 496.1 554.5 623.1 681.5 703.9 762.2 784.6 842.9 911.6 969.9 992.3 1050.6 1119.3 1177.6 1200.0 762.2 : 68.7 127.0 149.4 207.7 230.1 288.4 357.1 415.4 437.8 496.1 564.8 623.1 645.5 703.9 726.2 784.6 853.2 911.6 933.9 992.3 1060.9 1119.3 1141.7 1200.0 830.9 : 58.3 80.7 139.1 161.4 219.8 288.4 346.8 369.1 427.5 496.1 554.5 576.9 635.2 657.6 715.9 784.6 842.9 865.3 923.6 992.3 1050.6 1073.0 1131.3 1200.0 889.2 : 22.4 80.7 103.1 161.4 230.1 288.4 310.8 369.1 437.8 496.1 518.5 576.9 599.2 657.6 726.2 784.6 807.0 865.3 933.9 992.3 1014.7 1073.0 1141.7 1200.0 911.6 : 58.3 80.7 139.1 207.7 266.1 288.4 346.8 415.4 473.8 496.1 554.5 576.9 635.2 703.9 762.2 784.6 842.9 911.6 969.9 992.3 1050.6 1119.3 1177.6 1200.0 969.9 : 22.4 80.7 149.4 207.7 230.1 288.4 357.1 415.4 437.8 496.1 518.5 576.9 645.5 703.9 726.2 784.6 853.2 911.6 933.9 992.3 1060.9 1119.3 1141.7 1200.0 992.3 : 58.3 127.0 185.3 207.7 266.1 334.7 393.0 415.4 473.8 496.1 554.5 623.1 681.5 703.9 762.2 830.9 889.2 911.6 969.9 1038.6 1096.9 1119.3 1177.6 1200.0 1050.6: 68.7 127.0 149.4 207.7 276.4 334.7 357.1 415.4 437.8 496.1 564.8 623.1 645.5 703.9 772.5 830.9 853.2 911.6 980.2 1038.6 1060.9 1119.3 1141.7 1200.0 1119.3: 58.3 80.7 139.1 207.7 266.1 288.4 346.8 369.1 427.5 496.1 554.5 576.9 635.2 703.9 762.2 784.6 842.9 911.6 969.9 992.3 1050.6 1073.0 1131.3 1200.0 1177.6: 22.4 80.7 149.4 207.7 230.1 288.4 310.8 369.1 437.8 496.1 518.5 576.9 645.5 703.9 726.2 784.6 853.2 911.6 933.9 992.3 1014.7 1073.0 1141.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 22.3800 .. 68.6557 cents 46.27569 cents 22.38001 cents 2: 80.7185 .. 126.9942 cents 46.27570 cents 12.06276 cents 3: 103.0985 .. 185.3326 cents 82.23414 cents -23.89569 cents 4: 161.4369 .. 207.7126 cents 46.27570 cents -23.89569 cents 5: 219.7754 .. 276.3683 cents 56.59295 cents 12.06275 cents 6: 288.4311 .. 334.7068 cents 46.27569 cents 12.06276 cents 7: 310.8111 .. 393.0452 cents 82.23415 cents -23.89569 cents 8: 369.1495 .. 415.4252 cents 46.27570 cents -23.89570 cents 9: 427.4880 .. 484.0809 cents 56.59295 cents 12.06276 cents 10: 496.1437 .. 542.4194 cents 46.27570 cents 12.06275 cents 11: 518.5237 .. 600.7578 cents 82.23414 cents -23.89569 cents 12: 576.8621 .. 623.1379 cents 46.27570 cents -23.89569 cents 13: 599.2422 .. 681.4763 cents 82.23415 cents -23.89569 cents 14: 657.5806 .. 703.8563 cents 46.27570 cents -23.89570 cents 15: 715.9191 .. 772.5120 cents 56.59295 cents 12.06275 cents 16: 784.5748 .. 830.8505 cents 46.27571 cents 12.06275 cents 17: 806.9548 .. 889.1889 cents 82.23415 cents -23.89570 cents 18: 865.2932 .. 911.5689 cents 46.27570 cents -23.89570 cents 19: 923.6317 .. 980.2246 cents 56.59295 cents 12.06276 cents 20: 992.2874 .. 1038.5631 cents 46.27570 cents 12.06275 cents 21: 1014.6674 .. 1096.9015 cents 82.23414 cents -23.89569 cents 22: 1073.0058 .. 1119.2815 cents 46.27570 cents -23.89569 cents 23: 1131.3443 .. 1177.6200 cents 46.27570 cents 12.06276 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 22.38000 cents, class 1 Average step (divided formal octave): 50.0000 cents Largest one step interval : 68.65570 cents Average / Smallest step : 2.234138 Largest / Average step : 1.373114 Largest / Smallest step : 3.067726 Median interval of one step : 58.33846 cents, amount: 12 Most common interval of one step : 58.33846 cents, amount: 12 Least squares average step : 50.84160 cents, oct.: 1220.19830 cents Scale is not proper Step pattern alph. order: ABACACABACABACABACACABAC Step pattern size order : MLMSMSMLMSMLMSMLMSMSMLMS Scale is a Constant Structure, by a margin of 1.51568 cents Scale diversity : 1.270641 Lumma stability : 0.137823 Lumma impropriety factor : 0.237694 Number of different interval sizes : 68 = 2.95652 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 2.95652 = 68/23 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 1.51568 cents Most common intervals : 496.14369 cents & inv., amount: 22 Most common triad is 0.0 496.144 703.856 cents, amount: 20 Number of recognisable fifths : 23, average 704.3808 cents Number of appreciable fifths : 22, average 703.8563 cents Scale contains two identical disjunct "tetrachords" of 11 notes Formal octave complements present : 7 = 29.1667% Limited inverse transpositions : 23 Inversional symmetry on intervals : 11-12 23-24 -- Rational properties --
FIT/MODE
24: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1 1 N T3 SD: 18.0608 c. M: 35.3326 c. 25: 1 2 1 0 2 0 1 2 1 0 2 1 1 1 1 1 2 0 1 1 1 1 2 0 N SD: 13.7793 c. M:-22.8111 c. 29: 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 P D3 SD: 12.8113 c. M: 20.2234 c. 30: 1 2 2 0 2 0 2 1 2 0 2 2 1 1 1 2 1 1 1 1 1 2 1 1 N SD: 11.2567 c. M: 18.3385 c. 32: 2 1 2 1 1 1 1 2 2 0 2 2 1 1 1 2 2 0 2 0 2 2 1 1 N SD: 10.6124 c. M: 17.2874 c. 33: 2 1 2 1 1 1 2 1 2 1 1 2 2 0 2 2 1 1 2 0 2 2 1 1 N SD: 10.5627 c. M: 17.9033 c. 35: 2 2 1 1 2 0 2 2 2 0 2 2 2 1 1 2 2 1 1 1 2 2 1 1 N SD: 9.6302 c. M: 16.1437 c. 39: 2 2 2 1 1 1 2 2 2 1 2 2 2 1 2 2 2 0 2 1 2 2 2 1 N SD: 9.4695 c. M: 19.8972 c. 40: 2 2 2 1 2 1 2 2 2 1 1 3 2 0 2 3 2 0 2 1 2 2 2 1 N SD: 8.9309 c. M: 14.4822 c. 41: 2 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 2 2 2 1 P D3 SD: 5.9841 c. M: 11.3383 c. 46: 2 3 2 1 2 1 2 3 2 1 2 3 2 1 2 3 2 1 2 1 2 3 2 1 N SD: 3.9768 c. M: 7.6391 c. 58: 3 3 3 1 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 1 3 3 3 1 N D3 SD: 2.4855 c. M:-4.9546 c. 104: 5 6 5 2 5 2 5 6 5 2 5 6 5 2 5 6 5 2 5 2 5 6 5 2 N SD: 0.4765 c. M: 0.7274 c. 266: 13 15 13 5 13 5 13 15 13 5 13 15 13 5 13 15 13 5 13 5 13 15 13 5 N SD: 0.3787 c. M: 0.7753 c. 370: 18 21 18 7 18 7 18 21 18 7 18 21 18 7 18 21 18 7 18 7 18 21 18 7 N SD: 0.2985 c. M: 0.5802 c. 433: 21 25 21 8 21 8 21 25 21 8 21 25 21 8 21 25 21 8 21 8 21 25 21 8 N SD: 0.2718 c. M:-0.5583 c. 474: 23 27 23 9 23 9 23 27 23 9 23 27 23 9 23 27 23 9 23 9 23 27 23 9 N SD: 0.2920 c. M: 0.5813 c. 491: 24 28 24 9 24 9 24 28 24 9 24 28 24 9 24 28 24 9 24 9 24 28 24 9 N SD: 0.2533 c. M:-0.4241 c. 537: 26 31 26 10 26 10 26 31 26 10 26 31 26 10 26 31 26 10 26 10 26 31 26 10 N SD: 0.2227 c. M:-0.4344 c. 595: 29 34 29 11 29 11 29 34 29 11 29 34 29 11 29 34 29 11 29 11 29 34 29 11 N SD: 0.1268 c. M:-0.2228 c. 699: 34 40 34 13 34 13 34 40 34 13 34 40 34 13 34 40 34 13 34 13 34 40 34 13 N SD: 0.0411 c. M:-0.0815 c. 803: 39 46 39 15 39 15 39 46 39 15 39 46 39 15 39 46 39 15 39 15 39 46 39 15 N SD: 0.0367 c. M: 0.0697 c. 1502: 73 86 73 28 73 28 73 86 73 28 73 86 73 28 73 86 73 28 73 28 73 86 73 28 N SD: 0.0203 c. M:-0.0417 c. 2201: 107 126 107 41 107 41 107 126 107 41 107 126 107 41 107 126 107 41 107 41 107 126 107 41 N SD: 0.0234 c. M:-0.0446 c. 2305: 112 132 112 43 112 43 112 132 112 43 112 132 112 43 112 132 112 43 112 43 112 132 112 43 N SD: 0.0229 c. M: 0.0450 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.9507 cents 3 .. 6 match: 3 H SD: 1.7303 cents 4 .. 8 match: 4 H SD: 7.2984 cents 5 .. 10 match: 5 H SD: 9.9222 cents 6 .. 12 match: 6 H SD: 0.9549 cents 7 .. 14 match: 7 H SD: 6.8361 cents 8 .. 16 match: 8 H SD: 5.4946 cents 9 .. 18 match: 9 H SD: 2.6575 cents 10 .. 20 match: 10 H SD: 5.8100 cents 11 .. 22 match: 11 H SD: 4.8756 cents 12 .. 24 match: 12 H SD: 4.2358 cents 13 .. 26 match: 13 H SD: 3.2963 cents 14 .. 28 match: 14 H SD: 4.7353 cents 15 .. 30 match: 15 H SD: 4.8828 cents 16 .. 32 match: 15 SD: 3.5412 cents 17 .. 34 match: 16 S SD: 5.1578 cents 18 .. 36 match: 16 S SD: 2.7967 cents 19 .. 38 match: 18 S SD: 3.7975 cents 20 .. 40 match: 19 SD: 4.3952 cents 21 .. 42 match: 20 SD: 3.7146 cents 22 .. 44 match: 18 SD: 3.2165 cents 23 .. 46 match: 22 S SD: 2.7143 cents 24 .. 48 match: 20 SD: 2.7049 cents 25 .. 50 match: 20 S SD: 3.0503 cents 26 .. 52 match: 21 SD: 2.3899 cents 27 .. 54 match: 22 SD: 2.3977 cents 28 .. 56 match: 20 SD: 2.6456 cents 29 .. 58 match: 22 SD: 2.3894 cents 30 .. 60 match: 22 SD: 2.3647 cents 31 .. 62 match: 21 SD: 2.2046 cents 32 .. 64 match: 23 SD: 2.0419 cents 33 .. 66 match: 23 SD: 2.3499 cents 34 .. 68 match: 20 SD: 2.1673 cents 35 .. 70 match: 22 SD: 2.0827 cents 36 .. 72 match: 24 SD: 1.7800 cents 37 .. 74 match: 23 SD: 1.6922 cents 38 .. 76 match: 22 SD: 2.0626 cents 39 .. 78 match: 24 SD: 1.8867 cents 40 .. 80 match: 21 SD: 1.4933 cents 41 .. 82 match: 21 SD: 1.7919 cents 42 .. 84 match: 23 SD: 1.6335 cents 43 .. 86 match: 22 SD: 1.8216 cents 44 .. 88 match: 23 SD: 1.6465 cents 45 .. 90 match: 24 SD: 1.6297 cents 46 .. 92 match: 23 SD: 1.8357 cents 47 .. 94 match: 24 SD: 1.7650 cents 48 .. 96 match: 24 SD: 1.3739 cents 49 .. 98 match: 23 SD: 1.4139 cents 50 .. 100 match: 23 SD: 1.4844 cents 52 .. 104 match: 23 SD: 1.3412 cents 53 .. 106 match: 24 SD: 1.2950 cents 54 .. 108 match: 24 SD: 1.0018 cents 58 .. 116 match: 23 SD: 1.2534 cents 60 .. 120 match: 24 SD: 1.0633 cents 63 .. 126 match: 24 SD: 1.0532 cents 66 .. 132 match: 24 SD: 1.0331 cents 67 .. 134 match: 24 SD: 0.9748 cents 72 .. 144 match: 24 SD: 0.9643 cents 76 .. 152 match: 24 SD: 0.9060 cents 77 .. 154 match: 24 SD: 0.8730 cents 78 .. 156 match: 24 SD: 0.7771 cents 85 .. 170 match: 24 SD: 0.7263 cents 88 .. 176 match: 24 SD: 0.7105 cents 89 .. 178 match: 24 SD: 0.7055 cents 96 .. 192 match: 24 SD: 0.7013 cents 104 .. 208 match: 24 SD: 0.6615 cents 108 .. 216 match: 24 SD: 0.5838 cents 114 .. 228 match: 24 SD: 0.5457 cents 117 .. 234 match: 24 SD: 0.5324 cents 121 .. 242 match: 24 SD: 0.5192 cents 127 .. 254 match: 24 SD: 0.5018 cents 132 .. 264 match: 24 SD: 0.4887 cents 133 .. 266 match: 24 SD: 0.4589 cents 141 .. 282 match: 24 SD: 0.4502 cents 143 .. 286 match: 24 SD: 0.3678 cents 180 .. 360 match: 24 SD: 0.3461 cents 193 .. 386 match: 24 SD: 0.3397 cents 198 .. 396 match: 24 SD: 0.3236 cents 199 .. 398 match: 24 SD: 0.3035 cents 210 .. 420 match: 24 SD: 0.3002 cents 211 .. 422 match: 24 SD: 0.2924 cents 222 .. 444 match: 24 SD: 0.2639 cents 235 .. 470 match: 24 SD: 0.2487 cents 265 .. 530 match: 24 SD: 0.1763 cents 344 .. 688 match: 24 SD: 0.1725 cents 353 .. 706 match: 24 SD: 0.1482 cents 398 .. 796 match: 24 SD: 0.1442 cents 407 .. 814 match: 24 SD: 0.1435 cents 416 .. 832 match: 24 SD: 0.1430 cents 432 .. 864 match: 24 SD: 0.1383 cents 434 .. 868 match: 24 SD: 0.1349 cents 464 .. 928 match: 24 SD: 0.1299 cents 469 .. 938 match: 24 SD: 0.1161 cents 495 .. 990 match: 24 SD: 0.1136 cents 524 .. 1048 match: 24 SD: 0.0965 cents 591 .. 1182 match: 24 SD: 0.0917 cents