Scala analysis: xen07-chalmers-smith
Smith-19
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 84.300 cents 84.300000 2: 154.900 cents 154.900000 3: 203.900 cents 203.900000 4: 266.700 cents 266.700000 5: 315.700 cents 315.700000 6: 386.300 cents 386.300000 7: 470.600 cents 470.600000 8: 498.000 cents 498.000000 9: 582.400 cents 582.400000 10: 652.900 cents 652.900000 11: 702.000 cents 702.000000 12: 764.700 cents 764.700000 13: 813.700 cents 813.700000 14: 884.300 cents 884.300000 15: 968.600 cents 968.600000 16: 1017.600 cents 1017.600000 17: 1080.400 cents 1080.400000 18: 1151.000 cents 1151.000000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 49.0000 cents 49.0000 1: 84.3000 cents 84.3000 2: 70.6000 cents 70.6000 3: 49.0000 cents 49.0000 4: 62.8000 cents 62.8000 5: 49.0000 cents 49.0000 6: 70.6000 cents 70.6000 7: 84.3000 cents 84.3000 8: 27.4000 cents 27.4000 9: 84.4000 cents 84.4000 10: 70.5000 cents 70.5000 11: 49.1000 cents 49.1000 12: 62.7000 cents 62.7000 13: 49.0000 cents 49.0000 14: 70.6000 cents 70.6000 15: 84.3000 cents 84.3000 16: 49.0000 cents 49.0000 17: 62.8000 cents 62.8000 18: 70.6000 cents 70.6000 19: 49.0000 cents 49.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 27.40000 cents 1: 5 49.00000 cents 1: 1 49.10000 cents 1: 1 62.70000 cents 1: 2 62.80000 cents 1: 1 70.50000 cents 1: 4 70.60000 cents 1: 3 84.30000 cents 1: 1 84.40000 cents 2: 2 111.70000 cents 2: 5 111.80000 cents 2: 5 119.60000 cents 2: 2 133.30000 cents 2: 1 133.40000 cents 2: 4 154.90000 cents 3: 2 160.80000 cents 3: 4 182.30000 cents 3: 4 182.40000 cents 3: 2 196.10000 cents 3: 6 203.90000 cents 3: 1 204.00000 cents 4: 2 231.30000 cents 4: 5 231.40000 cents 4: 2 252.90000 cents 4: 2 266.60000 cents 4: 7 266.70000 cents 4: 1 274.50000 cents 5: 2 294.10000 cents 5: 1 301.90000 cents 5: 1 302.00000 cents 5: 1 315.60000 cents 5: 10 315.70000 cents 5: 1 323.50000 cents 5: 1 337.20000 cents 5: 2 337.30000 cents 6: 2 343.10000 cents 6: 2 364.70000 cents 6: 2 378.40000 cents 6: 1 378.50000 cents 6: 2 386.20000 cents 6: 9 386.30000 cents 6: 1 400.00000 cents 7: 2 413.70000 cents 7: 1 427.40000 cents 7: 2 427.50000 cents 7: 1 435.20000 cents 7: 5 435.30000 cents 7: 3 449.00000 cents 7: 1 449.10000 cents 7: 4 470.60000 cents 8: 8 498.00000 cents 8: 5 498.10000 cents 8: 1 505.90000 cents 8: 4 519.60000 cents 8: 1 541.20000 cents 9: 3 547.00000 cents 9: 3 547.10000 cents 9: 1 560.80000 cents 9: 3 568.60000 cents 9: 1 568.70000 cents 9: 2 582.30000 cents 9: 3 582.40000 cents 9: 3 590.20000 cents 10: 3 609.80000 cents 10: 3 617.60000 cents 10: 2 617.70000 cents 10: 1 631.30000 cents 10: 3 631.40000 cents 10: 1 639.20000 cents 10: 3 652.90000 cents 10: 3 653.00000 cents 11: 1 658.80000 cents 11: 4 680.40000 cents 11: 1 694.10000 cents 11: 5 701.90000 cents 11: 8 702.00000 cents 12: 4 729.40000 cents 12: 1 750.90000 cents 12: 3 751.00000 cents 12: 5 764.70000 cents 12: 1 764.80000 cents 12: 2 772.50000 cents 12: 1 772.60000 cents 12: 2 786.30000 cents 13: 1 800.00000 cents 13: 9 813.70000 cents 13: 2 813.80000 cents 13: 1 821.50000 cents 13: 2 821.60000 cents 13: 2 835.30000 cents 13: 2 856.90000 cents 14: 2 862.70000 cents 14: 1 862.80000 cents 14: 1 876.50000 cents 14: 10 884.30000 cents 14: 1 884.40000 cents 14: 1 898.00000 cents 14: 1 898.10000 cents 14: 2 905.90000 cents 15: 1 925.50000 cents 15: 7 933.30000 cents 15: 2 933.40000 cents 15: 2 947.10000 cents 15: 5 968.60000 cents 15: 2 968.70000 cents 16: 1 996.00000 cents 16: 6 996.10000 cents 16: 2 1003.90000 cents 16: 4 1017.60000 cents 16: 4 1017.70000 cents 16: 2 1039.20000 cents 17: 4 1045.10000 cents 17: 1 1066.60000 cents 17: 2 1066.70000 cents 17: 5 1080.40000 cents 17: 5 1088.20000 cents 17: 2 1088.30000 cents 18: 1 1115.60000 cents 18: 3 1115.70000 cents 18: 4 1129.40000 cents 18: 1 1129.50000 cents 18: 2 1137.20000 cents 18: 1 1137.30000 cents 18: 1 1150.90000 cents 18: 5 1151.00000 cents 18: 1 1172.60000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 7.00000 = 7
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 : 84.3 154.9 203.9 266.7 315.7 386.3 470.6 498.0 582.4 652.9 702.0 764.7 813.7 884.3 968.6 1017.6 1080.4 1151.0 1200.0 84.3 : 70.6 119.6 182.4 231.4 302.0 386.3 413.7 498.1 568.6 617.7 680.4 729.4 800.0 884.3 933.3 996.1 1066.7 1115.7 1200.0 154.9 : 49.0 111.8 160.8 231.4 315.7 343.1 427.5 498.0 547.1 609.8 658.8 729.4 813.7 862.7 925.5 996.1 1045.1 1129.4 1200.0 203.9 : 62.8 111.8 182.4 266.7 294.1 378.5 449.0 498.1 560.8 609.8 680.4 764.7 813.7 876.5 947.1 996.1 1080.4 1151.0 1200.0 266.7 : 49.0 119.6 203.9 231.3 315.7 386.2 435.3 498.0 547.0 617.6 701.9 750.9 813.7 884.3 933.3 1017.6 1088.2 1137.2 1200.0 315.7 : 70.6 154.9 182.3 266.7 337.2 386.3 449.0 498.0 568.6 652.9 701.9 764.7 835.3 884.3 968.6 1039.2 1088.2 1151.0 1200.0 386.3 : 84.3 111.7 196.1 266.6 315.7 378.4 427.4 498.0 582.3 631.3 694.1 764.7 813.7 898.0 968.6 1017.6 1080.4 1129.4 1200.0 470.6 : 27.4 111.8 182.3 231.4 294.1 343.1 413.7 498.0 547.0 609.8 680.4 729.4 813.7 884.3 933.3 996.1 1045.1 1115.7 1200.0 498.0 : 84.4 154.9 204.0 266.7 315.7 386.3 470.6 519.6 582.4 653.0 702.0 786.3 856.9 905.9 968.7 1017.7 1088.3 1172.6 1200.0 582.4 : 70.5 119.6 182.3 231.3 301.9 386.2 435.2 498.0 568.6 617.6 701.9 772.5 821.5 884.3 933.3 1003.9 1088.2 1115.6 1200.0 652.9 : 49.1 111.8 160.8 231.4 315.7 364.7 427.5 498.1 547.1 631.4 702.0 751.0 813.8 862.8 933.4 1017.7 1045.1 1129.5 1200.0 702.0 : 62.7 111.7 182.3 266.6 315.6 378.4 449.0 498.0 582.3 652.9 701.9 764.7 813.7 884.3 968.6 996.0 1080.4 1150.9 1200.0 764.7 : 49.0 119.6 203.9 252.9 315.7 386.3 435.3 519.6 590.2 639.2 702.0 751.0 821.6 905.9 933.3 1017.7 1088.2 1137.3 1200.0 813.7 : 70.6 154.9 203.9 266.7 337.3 386.3 470.6 541.2 590.2 653.0 702.0 772.6 856.9 884.3 968.7 1039.2 1088.3 1151.0 1200.0 884.3 : 84.3 133.3 196.1 266.7 315.7 400.0 470.6 519.6 582.4 631.4 702.0 786.3 813.7 898.1 968.6 1017.7 1080.4 1129.4 1200.0 968.6 : 49.0 111.8 182.4 231.4 315.7 386.3 435.3 498.1 547.1 617.7 702.0 729.4 813.8 884.3 933.4 996.1 1045.1 1115.7 1200.0 1017.6: 62.8 133.4 182.4 266.7 337.3 386.3 449.1 498.1 568.7 653.0 680.4 764.8 835.3 884.4 947.1 996.1 1066.7 1151.0 1200.0 1080.4: 70.6 119.6 203.9 274.5 323.5 386.3 435.3 505.9 590.2 617.6 702.0 772.5 821.6 884.3 933.3 1003.9 1088.2 1137.2 1200.0 1151.0: 49.0 133.3 203.9 252.9 315.7 364.7 435.3 519.6 547.0 631.4 701.9 751.0 813.7 862.7 933.3 1017.6 1066.6 1129.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 27.4000 .. 84.4000 cents 57.00000 cents 27.40000 cents 2: 111.7000 .. 154.9000 cents 43.20000 cents 27.30000 cents 3: 160.8000 .. 204.0000 cents 43.20000 cents 5.90000 cents 4: 231.3000 .. 274.5000 cents 43.20000 cents 27.30000 cents 5: 294.1000 .. 337.3000 cents 43.20000 cents 19.60000 cents 6: 343.1000 .. 400.0000 cents 56.90000 cents 5.80000 cents 7: 413.7000 .. 470.6000 cents 56.90000 cents 13.70000 cents 8: 498.0000 .. 541.2000 cents 43.20000 cents 27.40000 cents 9: 547.0000 .. 590.2000 cents 43.20000 cents 5.80000 cents 10: 609.8000 .. 653.0000 cents 43.20000 cents 19.60000 cents 11: 658.8000 .. 702.0000 cents 43.20000 cents 5.80000 cents 12: 729.4000 .. 786.3000 cents 56.90000 cents 27.40000 cents 13: 800.0000 .. 856.9000 cents 56.90000 cents 13.70000 cents 14: 862.7000 .. 905.9000 cents 43.20000 cents 5.80000 cents 15: 925.5000 .. 968.7000 cents 43.20000 cents 19.60000 cents 16: 996.0000 .. 1039.2000 cents 43.20000 cents 27.30000 cents 17: 1045.1000 .. 1088.3000 cents 43.20000 cents 5.90000 cents 18: 1115.6000 .. 1172.6000 cents 57.00000 cents 27.30000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 27.40000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 84.40000 cents Average / Smallest step : 2.305033 Largest / Average step : 1.336333 Largest / Smallest step : 3.080292 Median interval of one step : 62.80000 cents, amount: 2 Most common interval of one step : 49.00000 cents, amount: 5 Least squares average step : 63.79344 cents, oct.: 1212.07538 cents Scale is strictly proper Step pattern alph. order: ABCDCBAEFGHICBACDBC Step pattern size order : HGBEBGHAIFCDBGHBEGB Scale is a Constant Structure, by a margin of 5.80000 cents Scale diversity : 1.439426 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.283333 Number of different interval sizes : 126 = 7.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 7.00000 = 7 Median interval variety : 5.5 Lowest interval variety : 5 Smallest interval difference : 0.10000 cents Most common intervals : 315.70000 cents & inv., amount: 10 Most common triad is 0.0 315.700 884.300 cents, amount: 3 Number of recognisable fifths : 14, average 701.4000 cents Best minor thirds form a closed circle Formal octave complements present : 7 = 36.8421% Limited inverse transpositions with margin 56.9000 cents: 15 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 14.7583 c. M: 28.5842 c. 20: 1 2 0 1 1 1 2 0 2 1 1 1 1 1 1 1 1 1 1 N D3 SD: 17.6404 c. M: 26.7000 c. 22: 2 1 1 1 1 1 2 0 2 1 1 1 1 1 2 1 1 1 1 N D3 S SD: 11.9953 c. M:-24.7909 c. 25: 2 1 1 2 1 1 2 0 2 2 1 1 1 1 2 1 2 1 1 N D3 SD: 13.6938 c. M:-23.6000 c. 26: 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 1 2 1 P M ME S SD: 12.3403 c. M:-19.9154 c. 27: 2 2 1 1 1 2 2 0 2 2 1 1 1 2 2 1 1 2 1 N T3 SD: 11.2569 c. M:-22.8778 c. 28: 2 2 1 1 1 2 2 1 2 1 1 2 1 2 2 1 1 2 1 N D3 SD: 11.4400 c. M:-17.6000 c. 30: 2 2 1 2 1 2 2 0 3 1 2 1 1 2 2 1 2 2 1 N SD: 11.1177 c. M:-18.0000 c. 31: 2 2 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 P M ME S SD: 6.0741 c. M: 11.1484 c. 41: 3 2 2 2 2 2 3 1 3 2 2 2 2 2 3 2 2 2 2 P D3 S SD: 5.1469 c. M: 9.5366 c. 46: 3 3 2 2 2 3 3 1 3 3 2 2 2 3 3 2 2 3 2 P T3 SD: 4.8709 c. M: 10.8348 c. 53: 4 3 2 3 2 3 4 1 4 3 2 3 2 3 4 2 3 3 2 P S SD: 3.7591 c. M:-6.3925 c. 72: 5 4 3 4 3 4 5 2 5 4 3 4 3 4 5 3 4 4 3 SP S SD: 2.4112 c. M: 4.9000 c. 99: 7 6 4 5 4 6 7 2 7 6 4 5 4 6 7 4 5 6 4 P SD: 1.3169 c. M:-2.6758 c. 140: 10 8 6 7 6 8 10 3 10 8 6 7 6 8 10 6 7 8 6 SP SD: 1.2822 c. M: 2.4286 c. 171: 12 10 7 9 7 10 12 4 12 10 7 9 7 10 12 7 9 10 7 SP SD: 0.2544 c. M: 0.5140 c. 441: 31 26 18 23 18 26 31 10 31 26 18 23 18 26 31 18 23 26 18 SP SD: 0.1031 c. M:-0.2020 c. 612: 43 36 25 32 25 36 43 14 43 36 25 32 25 36 43 25 32 36 25 SP SD: 0.0272 c. M: 0.0471 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0225 cents 3 .. 6 match: 3 H SD: 0.0247 cents 4 .. 8 match: 4 H SD: 0.0577 cents 5 .. 10 match: 5 H SD: 0.0255 cents 6 .. 12 match: 6 H SD: 5.1729 cents 7 .. 14 match: 7 H SD: 9.9865 cents 8 .. 16 match: 8 H SD: 5.2258 cents 9 .. 18 match: 9 H SD: 5.6890 cents 10 .. 20 match: 10 H SD: 4.9986 cents 11 .. 22 match: 11 H SD: 7.0187 cents 12 .. 24 match: 12 H SD: 4.2431 cents 13 .. 26 match: 13 H SD: 5.2288 cents 14 .. 28 match: 13 SD: 6.5387 cents 15 .. 30 match: 15 H SD: 3.3441 cents 16 .. 32 match: 16 H SD: 3.8622 cents 17 .. 34 match: 16 S SD: 4.4239 cents 18 .. 36 match: 17 S SD: 4.2591 cents 19 .. 38 match: 16 SD: 4.2704 cents 20 .. 40 match: 18 SD: 2.5697 cents 21 .. 42 match: 17 SD: 3.7554 cents 22 .. 44 match: 17 SD: 3.4420 cents 23 .. 46 match: 19 SD: 3.3177 cents 24 .. 48 match: 18 SD: 2.4002 cents 25 .. 50 match: 18 SD: 2.9660 cents 27 .. 54 match: 17 SD: 3.5294 cents 28 .. 56 match: 18 SD: 3.4008 cents 29 .. 58 match: 19 SD: 3.0286 cents 30 .. 60 match: 19 SD: 2.5967 cents 31 .. 62 match: 18 SD: 2.6642 cents 32 .. 64 match: 19 SD: 2.2715 cents 34 .. 68 match: 18 SD: 2.7180 cents 35 .. 70 match: 19 SD: 2.0838 cents 37 .. 74 match: 18 SD: 2.4556 cents 38 .. 76 match: 19 SD: 2.3180 cents 39 .. 78 match: 19 SD: 2.0213 cents 40 .. 80 match: 19 SD: 1.6106 cents 48 .. 96 match: 19 SD: 1.5481 cents 54 .. 108 match: 19 SD: 1.3224 cents 55 .. 110 match: 19 SD: 1.2131 cents 60 .. 120 match: 19 SD: 1.1204 cents 65 .. 130 match: 19 SD: 1.0078 cents 72 .. 144 match: 19 SD: 0.9723 cents 80 .. 160 match: 19 SD: 0.8832 cents 85 .. 170 match: 19 SD: 0.8623 cents 90 .. 180 match: 19 SD: 0.8395 cents 95 .. 190 match: 19 SD: 0.7564 cents 96 .. 192 match: 19 SD: 0.5257 cents 120 .. 240 match: 19 SD: 0.3865 cents 160 .. 320 match: 19 SD: 0.3029 cents 180 .. 360 match: 19 SD: 0.2982 cents 216 .. 432 match: 19 SD: 0.2677 cents 240 .. 480 match: 19 SD: 0.1938 cents 320 .. 640 match: 19 SD: 0.1594 cents 360 .. 720 match: 19 SD: 0.1160 cents 480 .. 960 match: 19 SD: 0.0635 cents