Scala analysis: secor41htt-parapyth17
George Secor's 41-HTT, parapyth17 for Fokker block, key 14 like pipedum17_c.scl
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.090 cents 58.089800 2: 125.051 cents 125.050860 3: 207.157 cents 207.157390 4: 265.247 cents 265.247190 5: 347.354 cents 347.353720 6: 414.315 cents 414.314780 7: 472.405 cents 472.404580 8: 554.511 cents 554.511110 9: 621.472 cents 621.472170 10: 703.579 cents 703.578700 11: 761.668 cents 761.668500 12: 843.775 cents 843.775030 13: 910.736 cents 910.736080 14: 968.826 cents 968.825880 15: 1050.932 cents 1050.932410 16: 1117.893 cents 1117.893470 17: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 82.1065 cents 82.1065 1: 58.0898 cents 58.0898 2: 66.9611 cents 66.9611 3: 82.1065 cents 82.1065 4: 58.0898 cents 58.0898 5: 82.1065 cents 82.1065 6: 66.9611 cents 66.9611 7: 58.0898 cents 58.0898 8: 82.1065 cents 82.1065 9: 66.9611 cents 66.9611 10: 82.1065 cents 82.1065 11: 58.0898 cents 58.0898 12: 82.1065 cents 82.1065 13: 66.9611 cents 66.9611 14: 58.0898 cents 58.0898 15: 82.1065 cents 82.1065 16: 66.9611 cents 66.9611 17: 82.1065 cents 82.1065
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 58.08980 cents 1: 5 66.96106 cents 1: 7 82.10653 cents 2: 3 125.05086 cents 2: 7 140.19633 cents 2: 7 149.06759 cents 3: 13 207.15739 cents 3: 2 222.30286 cents 3: 2 231.17412 cents 4: 3 265.24719 cents 4: 3 274.11845 cents 4: 11 289.26392 cents 5: 8 347.35372 cents 5: 8 356.22498 cents 5: 1 371.37045 cents 6: 9 414.31478 cents 6: 4 429.46025 cents 6: 4 438.33151 cents 7: 1 472.40458 cents 7: 1 481.27583 cents 7: 15 496.42131 cents 8: 6 554.51111 cents 8: 6 563.38237 cents 8: 5 578.52784 cents 9: 5 621.47217 cents 9: 6 636.61764 cents 9: 6 645.48890 cents 10: 15 703.57870 cents 10: 1 718.72417 cents 10: 1 727.59542 cents 11: 4 761.66850 cents 11: 4 770.53975 cents 11: 9 785.68523 cents 12: 1 828.62955 cents 12: 8 843.77503 cents 12: 8 852.64628 cents 13: 11 910.73608 cents 13: 3 925.88155 cents 13: 3 934.75281 cents 14: 2 968.82588 cents 14: 2 977.69714 cents 14: 13 992.84261 cents 15: 7 1050.93241 cents 15: 7 1059.80367 cents 15: 3 1074.94914 cents 16: 7 1117.89347 cents 16: 5 1133.03894 cents 16: 5 1141.91020 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 58.1 125.1 207.2 265.2 347.4 414.3 472.4 554.5 621.5 703.6 761.7 843.8 910.7 968.8 1050.9 1117.9 1200.0 58.1 : 67.0 149.1 207.2 289.3 356.2 414.3 496.4 563.4 645.5 703.6 785.7 852.6 910.7 992.8 1059.8 1141.9 1200.0 125.1 : 82.1 140.2 222.3 289.3 347.4 429.5 496.4 578.5 636.6 718.7 785.7 843.8 925.9 992.8 1074.9 1133.0 1200.0 207.2 : 58.1 140.2 207.2 265.2 347.4 414.3 496.4 554.5 636.6 703.6 761.7 843.8 910.7 992.8 1050.9 1117.9 1200.0 265.2 : 82.1 149.1 207.2 289.3 356.2 438.3 496.4 578.5 645.5 703.6 785.7 852.6 934.8 992.8 1059.8 1141.9 1200.0 347.4 : 67.0 125.1 207.2 274.1 356.2 414.3 496.4 563.4 621.5 703.6 770.5 852.6 910.7 977.7 1059.8 1117.9 1200.0 414.3 : 58.1 140.2 207.2 289.3 347.4 429.5 496.4 554.5 636.6 703.6 785.7 843.8 910.7 992.8 1050.9 1133.0 1200.0 472.4 : 82.1 149.1 231.2 289.3 371.4 438.3 496.4 578.5 645.5 727.6 785.7 852.6 934.8 992.8 1074.9 1141.9 1200.0 554.5 : 67.0 149.1 207.2 289.3 356.2 414.3 496.4 563.4 645.5 703.6 770.5 852.6 910.7 992.8 1059.8 1117.9 1200.0 621.5 : 82.1 140.2 222.3 289.3 347.4 429.5 496.4 578.5 636.6 703.6 785.7 843.8 925.9 992.8 1050.9 1133.0 1200.0 703.6 : 58.1 140.2 207.2 265.2 347.4 414.3 496.4 554.5 621.5 703.6 761.7 843.8 910.7 968.8 1050.9 1117.9 1200.0 761.7 : 82.1 149.1 207.2 289.3 356.2 438.3 496.4 563.4 645.5 703.6 785.7 852.6 910.7 992.8 1059.8 1141.9 1200.0 843.8 : 67.0 125.1 207.2 274.1 356.2 414.3 481.3 563.4 621.5 703.6 770.5 828.6 910.7 977.7 1059.8 1117.9 1200.0 910.7 : 58.1 140.2 207.2 289.3 347.4 414.3 496.4 554.5 636.6 703.6 761.7 843.8 910.7 992.8 1050.9 1133.0 1200.0 968.8 : 82.1 149.1 231.2 289.3 356.2 438.3 496.4 578.5 645.5 703.6 785.7 852.6 934.8 992.8 1074.9 1141.9 1200.0 1050.9: 67.0 149.1 207.2 274.1 356.2 414.3 496.4 563.4 621.5 703.6 770.5 852.6 910.7 992.8 1059.8 1117.9 1200.0 1117.9: 82.1 140.2 207.2 289.3 347.4 429.5 496.4 554.5 636.6 703.6 785.7 843.8 925.9 992.8 1050.9 1133.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.0898 .. 82.1065 cents 24.01673 cents 58.08980 cents 2: 125.0509 .. 149.0676 cents 24.01673 cents 42.94433 cents 3: 207.1574 .. 231.1741 cents 24.01673 cents 58.08980 cents 4: 265.2472 .. 289.2639 cents 24.01673 cents 34.07307 cents 5: 347.3537 .. 371.3705 cents 24.01673 cents 58.08980 cents 6: 414.3148 .. 438.3315 cents 24.01673 cents 42.94433 cents 7: 472.4046 .. 496.4213 cents 24.01673 cents 34.07307 cents 8: 554.5111 .. 578.5278 cents 24.01673 cents 58.08980 cents 9: 621.4722 .. 645.4889 cents 24.01673 cents 42.94433 cents 10: 703.5787 .. 727.5954 cents 24.01672 cents 58.08980 cents 11: 761.6685 .. 785.6852 cents 24.01673 cents 34.07308 cents 12: 828.6295 .. 852.6463 cents 24.01673 cents 42.94432 cents 13: 910.7361 .. 934.7528 cents 24.01673 cents 58.08980 cents 14: 968.8259 .. 992.8426 cents 24.01673 cents 34.07307 cents 15: 1050.9324 .. 1074.9491 cents 24.01673 cents 58.08980 cents 16: 1117.8935 .. 1141.9102 cents 24.01673 cents 42.94433 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 58.08980 cents, class 1 Average step (divided formal octave): 70.5882 cents Largest one step interval : 82.10653 cents Average / Smallest step : 1.215157 Largest / Average step : 1.163176 Largest / Smallest step : 1.413441 Median interval of one step : 66.96106 cents, amount: 5 Most common interval of one step : 82.10653 cents, amount: 7 Least squares average step : 69.77162 cents, oct.: 1186.11747 cents Scale is strictly proper Scale has trivalence property Step pattern alph. order: ABCACBACBCACBACBC Step pattern size order : SMLSLMSLMLSLMSLML Scale is a Constant Structure, by a margin of 34.07307 cents Scale diversity : 1.217112 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.679777 Number of different interval sizes : 48 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 8.87125 cents Most common intervals : 496.42131 cents & inv., amount: 15 Scale is a chain of 8 triads 0.0 356.225 703.579 cents Most common triad is 0.0 496.421 703.579 cents, amount: 13 Number of recognisable fifths : 16, average 704.5253 cents Number of appreciable fifths : 15, average 703.5787 cents Best fifths form a closed circle Formal octave complements present : 1 = 5.8824% Limited inverse transpositions with margin 24.0167 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: 12.0471 c. M:-21.7131 c. 27: 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1 2 P M ME S SD: 11.9368 c. M: 21.8472 c. 28: 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 P M ME S SD: 12.0691 c. M:-21.3850 c. 29: 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 P M ME S SD: 12.1669 c. M: 17.2322 c. 30: 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 P D3 SD: 10.8246 c. M:-18.5278 c. 31: 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 P D3 S SD: 9.9557 c. M:-19.3296 c. 33: 2 1 3 1 3 1 2 2 2 2 2 2 2 2 2 2 2 P D3 S SD: 10.1746 c. M:-16.2826 c. 37: 2 2 2 2 3 2 2 2 2 3 1 3 2 2 2 2 3 SP D3 S SD: 9.1051 c. M: 15.7226 c. 38: 2 2 3 1 3 2 2 3 2 2 2 3 2 2 2 2 3 P D3 SD: 8.4971 c. M:-13.9099 c. 41: 2 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3 SP M ME S SD: 3.9225 c. M: 7.9777 c. 58: 3 3 4 3 4 3 3 4 3 4 3 4 3 3 4 3 4 SP M ME S SD: 2.9296 c. M:-4.5008 c. 87: 4 5 6 4 6 5 4 6 5 6 4 6 5 4 6 5 6 SP T3 SD: 2.1693 c. M: 3.4391 c. 104: 5 6 7 5 7 6 5 7 6 7 5 7 6 5 7 6 7 SP T3 SD: 0.9619 c. M:-1.8722 c. 145: 7 8 10 7 10 8 7 10 8 10 7 10 8 7 10 8 10 SP T3 SD: 0.4620 c. M: 0.9129 c. 249: 12 14 17 12 17 14 12 17 14 17 12 17 14 12 17 14 17 SP T3 SD: 0.2245 c. M: 0.4015 c. 394: 19 22 27 19 27 22 19 27 22 27 19 27 22 19 27 22 27 SP T3 SD: 0.1834 c. M: 0.3234 c. 556: 27 31 38 27 38 31 27 38 31 38 27 38 31 27 38 31 38 SP T3 SD: 0.1478 c. M:-0.2573 c. 643: 31 36 44 31 44 36 31 44 36 44 31 44 36 31 44 36 44 SP T3 SD: 0.1718 c. M: 0.2428 c. 701: 34 39 48 34 48 39 34 48 39 48 34 48 39 34 48 39 48 SP T3 SD: 0.0924 c. M:-0.1622 c. 805: 39 45 55 39 55 45 39 55 45 55 39 55 45 39 55 45 55 SP T3 SD: 0.0884 c. M:-0.1665 c. 950: 46 53 65 46 65 53 46 65 53 65 46 65 53 46 65 53 65 SP T3 SD: 0.0113 c. M:-0.0165 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.8118 cents 3 .. 6 match: 3 H SD: 12.2619 cents 4 .. 8 match: 4 H SD: 7.0120 cents 5 .. 10 match: 5 H SD: 12.3392 cents 6 .. 12 match: 6 H SD: 6.1485 cents 7 .. 14 match: 7 H SD: 6.9846 cents 8 .. 16 match: 8 H SD: 5.1472 cents 9 .. 18 match: 9 H SD: 6.3178 cents 10 .. 20 match: 10 H SD: 7.6443 cents 11 .. 22 match: 11 H SD: 5.1415 cents 12 .. 24 match: 12 H SD: 5.1965 cents 13 .. 26 match: 13 H SD: 4.1939 cents 14 .. 28 match: 14 H SD: 5.0774 cents 15 .. 30 match: 13 SD: 6.2074 cents 16 .. 32 match: 15 SD: 4.0268 cents 17 .. 34 match: 14 S SD: 5.4737 cents 18 .. 36 match: 16 S SD: 4.3573 cents 19 .. 38 match: 16 SD: 4.4169 cents 20 .. 40 match: 16 SD: 5.2547 cents 21 .. 42 match: 16 SD: 4.8481 cents 22 .. 44 match: 17 SD: 3.6947 cents 23 .. 46 match: 17 SD: 3.1482 cents 26 .. 52 match: 17 SD: 2.7655 cents 29 .. 58 match: 17 SD: 2.6510 cents 30 .. 60 match: 17 SD: 2.4419 cents 32 .. 64 match: 17 SD: 2.0010 cents 40 .. 80 match: 17 SD: 1.8716 cents 48 .. 96 match: 17 SD: 1.6019 cents 53 .. 106 match: 17 SD: 1.4054 cents 54 .. 108 match: 17 SD: 1.2253 cents 55 .. 110 match: 17 SD: 1.2050 cents 64 .. 128 match: 17 SD: 1.1681 cents 67 .. 134 match: 17 SD: 1.0652 cents 77 .. 154 match: 17 SD: 1.0383 cents 78 .. 156 match: 17 SD: 1.0208 cents 79 .. 158 match: 17 SD: 1.0108 cents 80 .. 160 match: 17 SD: 0.9312 cents 84 .. 168 match: 17 SD: 0.9296 cents 85 .. 170 match: 17 SD: 0.7881 cents 95 .. 190 match: 17 SD: 0.7670 cents 96 .. 192 match: 17 SD: 0.7391 cents 108 .. 216 match: 17 SD: 0.5824 cents 121 .. 242 match: 17 SD: 0.5232 cents 143 .. 286 match: 17 SD: 0.4882 cents 156 .. 312 match: 17 SD: 0.4688 cents 159 .. 318 match: 17 SD: 0.4670 cents 172 .. 344 match: 17 SD: 0.4221 cents 175 .. 350 match: 17 SD: 0.3375 cents 188 .. 376 match: 17 SD: 0.3209 cents 204 .. 408 match: 17 SD: 0.2851 cents 259 .. 518 match: 17 SD: 0.2834 cents 266 .. 532 match: 17 SD: 0.2605 cents 267 .. 534 match: 17 SD: 0.2452 cents 291 .. 582 match: 17 SD: 0.2345 cents 296 .. 592 match: 17 SD: 0.2313 cents 315 .. 630 match: 17 SD: 0.1784 cents 347 .. 694 match: 17 SD: 0.1653 cents 387 .. 774 match: 17 SD: 0.1473 cents 440 .. 880 match: 17 SD: 0.1287 cents 495 .. 990 match: 17 SD: 0.1168 cents 532 .. 1064 match: 17 SD: 0.1125 cents