Scala analysis: doubleduo
Ellis duodene union 11/9 times the duodene in 240et
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 35.000 cents 35.000000 2: 115.000 cents 115.000000 3: 165.000 cents 165.000000 4: 200.000 cents 200.000000 5: 235.000 cents 235.000000 6: 315.000 cents 315.000000 7: 350.000 cents 350.000000 8: 385.000 cents 385.000000 9: 465.000 cents 465.000000 10: 500.000 cents 500.000000 11: 550.000 cents 550.000000 12: 585.000 cents 585.000000 13: 665.000 cents 665.000000 14: 700.000 cents 700.000000 15: 735.000 cents 735.000000 16: 815.000 cents 815.000000 17: 850.000 cents 850.000000 18: 885.000 cents 885.000000 19: 935.000 cents 935.000000 20: 1015.000 cents 1015.000000 21: 1050.000 cents 1050.000000 22: 1085.000 cents 1085.000000 23: 1165.000 cents 1165.000000 24: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 35.0000 cents 35.0000 1: 35.0000 cents 35.0000 2: 80.0000 cents 80.0000 3: 50.0000 cents 50.0000 4: 35.0000 cents 35.0000 5: 35.0000 cents 35.0000 6: 80.0000 cents 80.0000 7: 35.0000 cents 35.0000 8: 35.0000 cents 35.0000 9: 80.0000 cents 80.0000 10: 35.0000 cents 35.0000 11: 50.0000 cents 50.0000 12: 35.0000 cents 35.0000 13: 80.0000 cents 80.0000 14: 35.0000 cents 35.0000 15: 35.0000 cents 35.0000 16: 80.0000 cents 80.0000 17: 35.0000 cents 35.0000 18: 35.0000 cents 35.0000 19: 50.0000 cents 50.0000 20: 80.0000 cents 80.0000 21: 35.0000 cents 35.0000 22: 35.0000 cents 35.0000 23: 80.0000 cents 80.0000 24: 35.0000 cents 35.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 14 35.00000 cents 1: 3 50.00000 cents 1: 7 80.00000 cents 2: 6 70.00000 cents 2: 4 85.00000 cents 2: 12 115.00000 cents 2: 2 130.00000 cents 3: 3 120.00000 cents 3: 15 150.00000 cents 3: 6 165.00000 cents 4: 8 185.00000 cents 4: 12 200.00000 cents 4: 4 230.00000 cents 5: 3 220.00000 cents 5: 10 235.00000 cents 5: 6 265.00000 cents 5: 5 280.00000 cents 6: 6 270.00000 cents 6: 6 300.00000 cents 6: 12 315.00000 cents 7: 2 335.00000 cents 7: 21 350.00000 cents 7: 1 380.00000 cents 8: 16 385.00000 cents 8: 8 430.00000 cents 9: 7 420.00000 cents 9: 2 435.00000 cents 9: 14 465.00000 cents 9: 1 480.00000 cents 10: 2 470.00000 cents 10: 18 500.00000 cents 10: 4 515.00000 cents 11: 10 535.00000 cents 11: 9 550.00000 cents 11: 5 580.00000 cents 12: 4 570.00000 cents 12: 8 585.00000 cents 12: 8 615.00000 cents 12: 4 630.00000 cents 13: 5 620.00000 cents 13: 9 650.00000 cents 13: 10 665.00000 cents 14: 4 685.00000 cents 14: 18 700.00000 cents 14: 2 730.00000 cents 15: 1 720.00000 cents 15: 14 735.00000 cents 15: 2 765.00000 cents 15: 7 780.00000 cents 16: 8 770.00000 cents 16: 16 815.00000 cents 17: 1 820.00000 cents 17: 21 850.00000 cents 17: 2 865.00000 cents 18: 12 885.00000 cents 18: 6 900.00000 cents 18: 6 930.00000 cents 19: 5 920.00000 cents 19: 6 935.00000 cents 19: 10 965.00000 cents 19: 3 980.00000 cents 20: 4 970.00000 cents 20: 12 1000.00000 cents 20: 8 1015.00000 cents 21: 6 1035.00000 cents 21: 15 1050.00000 cents 21: 3 1080.00000 cents 22: 2 1070.00000 cents 22: 12 1085.00000 cents 22: 4 1115.00000 cents 22: 6 1130.00000 cents 23: 7 1120.00000 cents 23: 3 1150.00000 cents 23: 14 1165.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.21739 = 74/23
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 : 35.0 115.0 165.0 200.0 235.0 315.0 350.0 385.0 465.0 500.0 550.0 585.0 665.0 700.0 735.0 815.0 850.0 885.0 935.0 1015.0 1050.0 1085.0 1165.0 1200.0 35.0 : 80.0 130.0 165.0 200.0 280.0 315.0 350.0 430.0 465.0 515.0 550.0 630.0 665.0 700.0 780.0 815.0 850.0 900.0 980.0 1015.0 1050.0 1130.0 1165.0 1200.0 115.0 : 50.0 85.0 120.0 200.0 235.0 270.0 350.0 385.0 435.0 470.0 550.0 585.0 620.0 700.0 735.0 770.0 820.0 900.0 935.0 970.0 1050.0 1085.0 1120.0 1200.0 165.0 : 35.0 70.0 150.0 185.0 220.0 300.0 335.0 385.0 420.0 500.0 535.0 570.0 650.0 685.0 720.0 770.0 850.0 885.0 920.0 1000.0 1035.0 1070.0 1150.0 1200.0 200.0 : 35.0 115.0 150.0 185.0 265.0 300.0 350.0 385.0 465.0 500.0 535.0 615.0 650.0 685.0 735.0 815.0 850.0 885.0 965.0 1000.0 1035.0 1115.0 1165.0 1200.0 235.0 : 80.0 115.0 150.0 230.0 265.0 315.0 350.0 430.0 465.0 500.0 580.0 615.0 650.0 700.0 780.0 815.0 850.0 930.0 965.0 1000.0 1080.0 1130.0 1165.0 1200.0 315.0 : 35.0 70.0 150.0 185.0 235.0 270.0 350.0 385.0 420.0 500.0 535.0 570.0 620.0 700.0 735.0 770.0 850.0 885.0 920.0 1000.0 1050.0 1085.0 1120.0 1200.0 350.0 : 35.0 115.0 150.0 200.0 235.0 315.0 350.0 385.0 465.0 500.0 535.0 585.0 665.0 700.0 735.0 815.0 850.0 885.0 965.0 1015.0 1050.0 1085.0 1165.0 1200.0 385.0 : 80.0 115.0 165.0 200.0 280.0 315.0 350.0 430.0 465.0 500.0 550.0 630.0 665.0 700.0 780.0 815.0 850.0 930.0 980.0 1015.0 1050.0 1130.0 1165.0 1200.0 465.0 : 35.0 85.0 120.0 200.0 235.0 270.0 350.0 385.0 420.0 470.0 550.0 585.0 620.0 700.0 735.0 770.0 850.0 900.0 935.0 970.0 1050.0 1085.0 1120.0 1200.0 500.0 : 50.0 85.0 165.0 200.0 235.0 315.0 350.0 385.0 435.0 515.0 550.0 585.0 665.0 700.0 735.0 815.0 865.0 900.0 935.0 1015.0 1050.0 1085.0 1165.0 1200.0 550.0 : 35.0 115.0 150.0 185.0 265.0 300.0 335.0 385.0 465.0 500.0 535.0 615.0 650.0 685.0 765.0 815.0 850.0 885.0 965.0 1000.0 1035.0 1115.0 1150.0 1200.0 585.0 : 80.0 115.0 150.0 230.0 265.0 300.0 350.0 430.0 465.0 500.0 580.0 615.0 650.0 730.0 780.0 815.0 850.0 930.0 965.0 1000.0 1080.0 1115.0 1165.0 1200.0 665.0 : 35.0 70.0 150.0 185.0 220.0 270.0 350.0 385.0 420.0 500.0 535.0 570.0 650.0 700.0 735.0 770.0 850.0 885.0 920.0 1000.0 1035.0 1085.0 1120.0 1200.0 700.0 : 35.0 115.0 150.0 185.0 235.0 315.0 350.0 385.0 465.0 500.0 535.0 615.0 665.0 700.0 735.0 815.0 850.0 885.0 965.0 1000.0 1050.0 1085.0 1165.0 1200.0 735.0 : 80.0 115.0 150.0 200.0 280.0 315.0 350.0 430.0 465.0 500.0 580.0 630.0 665.0 700.0 780.0 815.0 850.0 930.0 965.0 1015.0 1050.0 1130.0 1165.0 1200.0 815.0 : 35.0 70.0 120.0 200.0 235.0 270.0 350.0 385.0 420.0 500.0 550.0 585.0 620.0 700.0 735.0 770.0 850.0 885.0 935.0 970.0 1050.0 1085.0 1120.0 1200.0 850.0 : 35.0 85.0 165.0 200.0 235.0 315.0 350.0 385.0 465.0 515.0 550.0 585.0 665.0 700.0 735.0 815.0 850.0 900.0 935.0 1015.0 1050.0 1085.0 1165.0 1200.0 885.0 : 50.0 130.0 165.0 200.0 280.0 315.0 350.0 430.0 480.0 515.0 550.0 630.0 665.0 700.0 780.0 815.0 865.0 900.0 980.0 1015.0 1050.0 1130.0 1165.0 1200.0 935.0 : 80.0 115.0 150.0 230.0 265.0 300.0 380.0 430.0 465.0 500.0 580.0 615.0 650.0 730.0 765.0 815.0 850.0 930.0 965.0 1000.0 1080.0 1115.0 1150.0 1200.0 1015.0: 35.0 70.0 150.0 185.0 220.0 300.0 350.0 385.0 420.0 500.0 535.0 570.0 650.0 685.0 735.0 770.0 850.0 885.0 920.0 1000.0 1035.0 1070.0 1120.0 1200.0 1050.0: 35.0 115.0 150.0 185.0 265.0 315.0 350.0 385.0 465.0 500.0 535.0 615.0 650.0 700.0 735.0 815.0 850.0 885.0 965.0 1000.0 1035.0 1085.0 1165.0 1200.0 1085.0: 80.0 115.0 150.0 230.0 280.0 315.0 350.0 430.0 465.0 500.0 580.0 615.0 665.0 700.0 780.0 815.0 850.0 930.0 965.0 1000.0 1050.0 1130.0 1165.0 1200.0 1165.0: 35.0 70.0 150.0 200.0 235.0 270.0 350.0 385.0 420.0 500.0 535.0 585.0 620.0 700.0 735.0 770.0 850.0 885.0 920.0 970.0 1050.0 1085.0 1120.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 35.0000 .. 80.0000 cents 45.00000 cents 35.00000 cents 2: 70.0000 .. 130.0000 cents 60.00000 cents -10.00000 cents 3: 120.0000 .. 165.0000 cents 45.00000 cents -10.00000 cents 4: 185.0000 .. 230.0000 cents 45.00000 cents 20.00000 cents 5: 220.0000 .. 280.0000 cents 60.00000 cents -10.00000 cents 6: 270.0000 .. 315.0000 cents 45.00000 cents -10.00000 cents 7: 335.0000 .. 380.0000 cents 45.00000 cents 20.00000 cents 8: 385.0000 .. 430.0000 cents 45.00000 cents 5.00000 cents 9: 420.0000 .. 480.0000 cents 60.00000 cents -10.00000 cents 10: 470.0000 .. 515.0000 cents 45.00000 cents -10.00000 cents 11: 535.0000 .. 580.0000 cents 45.00000 cents 20.00000 cents 12: 570.0000 .. 630.0000 cents 60.00000 cents -10.00000 cents 13: 620.0000 .. 665.0000 cents 45.00000 cents -10.00000 cents 14: 685.0000 .. 730.0000 cents 45.00000 cents 20.00000 cents 15: 720.0000 .. 780.0000 cents 60.00000 cents -10.00000 cents 16: 770.0000 .. 815.0000 cents 45.00000 cents -10.00000 cents 17: 820.0000 .. 865.0000 cents 45.00000 cents 5.00000 cents 18: 885.0000 .. 930.0000 cents 45.00000 cents 20.00000 cents 19: 920.0000 .. 980.0000 cents 60.00000 cents -10.00000 cents 20: 970.0000 .. 1015.0000 cents 45.00000 cents -10.00000 cents 21: 1035.0000 .. 1080.0000 cents 45.00000 cents 20.00000 cents 22: 1070.0000 .. 1130.0000 cents 60.00000 cents -10.00000 cents 23: 1120.0000 .. 1165.0000 cents 45.00000 cents -10.00000 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 35.00000 cents, class 1 Average step (divided formal octave): 50.0000 cents Largest one step interval : 80.00000 cents Average / Smallest step : 1.428571 Largest / Average step : 1.600000 Largest / Smallest step : 2.285714 Median interval of one step : 35.00000 cents, amount: 14 Most common interval of one step : 35.00000 cents, amount: 14 Least squares average step : 49.97551 cents, oct.: 1199.41224 cents Scale is not proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 7 23 33 40 47 63 70 77 93 100 110 117 133 140 147 163 170 177 187 203 210 217 233 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 2 Shortest superset generator : 233 of 1165.000 cents and inv. generated superset size: 93 = 69 more = 387.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCAABAABACABAABAACBAABA Step pattern size order : SLMSSLSSLSMSLSSLSSMLSSLS Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.273591 Lumma stability : 0.166667 Lumma impropriety factor : 0.116667 Number of different interval sizes : 74 = 3.21739 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.21739 = 74/23 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 5.00000 cents Most common intervals : 350.00000 cents & inv., amount: 21 Most common triad is 0.0 350.000 850.000 cents, amount: 18 Number of recognisable fifths : 19, average 701.0526 cents Number of appreciable fifths : 18, average 700.0000 cents Formal octave complements present : 15 = 62.5000% Limited inverse transpositions : 21 Inversional symmetry on intervals : 10-11 22-23 -- Rational properties --
FIT/MODE
24: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.2474 c. M: 15.0000 c. 29: 1 2 1 1 1 2 0 1 2 1 1 1 2 1 1 2 1 0 2 2 0 1 2 1 N SD: 11.7731 c. M:-19.4828 c. 31: 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 P M ME SD: 4.7373 c. M: 10.1613 c. 48: 1 4 2 1 1 4 1 1 4 1 2 1 4 1 1 4 1 1 2 4 1 1 4 1 N SD: 8.1650 c. M: 10.0000 c. 49: 1 4 2 1 2 3 1 2 3 1 2 2 3 2 1 3 2 1 2 3 2 1 4 1 N SD: 7.1009 c. M: 11.2245 c. 50: 1 4 2 1 2 3 2 1 3 2 2 1 4 1 2 3 1 2 2 3 2 1 4 1 N SD: 6.5320 c. M:-11.0000 c. 56: 2 3 3 1 2 4 1 2 4 1 3 1 4 2 1 4 2 1 3 3 2 2 3 2 N SD: 6.2133 c. M: 7.8571 c. 59: 2 4 2 2 2 4 1 2 4 2 2 2 4 2 1 4 2 2 2 4 2 1 4 2 N SD: 5.9940 c. M:-11.8644 c. 61: 2 4 2 2 2 4 2 2 4 1 3 2 4 2 1 4 2 2 3 4 1 2 4 2 N SD: 5.7158 c. M:-9.2623 c. 64: 2 4 3 2 2 4 2 2 4 2 2 2 4 2 2 4 2 2 3 4 2 2 4 2 N SD: 5.2540 c. M:-8.7500 c. 65: 2 4 3 2 2 4 2 2 4 2 3 2 4 2 2 4 2 2 3 4 2 2 4 2 P SD: 3.0447 c. M:-6.5385 c. 72: 2 5 3 2 2 5 2 2 5 2 3 2 5 2 2 5 2 2 3 5 2 2 5 2 N SD: 1.3608 c. M: 1.6667 c. 103: 3 7 4 3 3 7 3 3 7 3 4 3 7 3 3 7 3 3 4 7 3 3 7 3 N SD: 1.3991 c. M: 2.9612 c. 137: 4 9 6 4 4 9 4 4 9 4 6 4 9 4 4 9 4 4 6 9 4 4 9 4 N SD: 1.0519 c. M:-2.2263 c. 168: 5 11 7 5 5 11 5 5 11 5 7 5 11 5 5 11 5 5 7 11 5 5 11 5 N SD: 0.5832 c. M: 0.7143 c. 240: 7 16 10 7 7 16 7 7 16 7 10 7 16 7 7 16 7 7 10 16 7 7 16 7 N 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: 0.9775 cents 3 .. 6 match: 3 H SD: 0.6858 cents 4 .. 8 match: 4 H SD: 8.4770 cents 5 .. 10 match: 5 H SD: 0.7763 cents 6 .. 12 match: 6 H SD: 5.3339 cents 7 .. 14 match: 7 H SD: 8.0840 cents 8 .. 16 match: 8 H SD: 4.4497 cents 9 .. 18 match: 9 H SD: 5.6975 cents 10 .. 20 match: 10 H SD: 3.3003 cents 11 .. 22 match: 11 H SD: 5.9314 cents 12 .. 24 match: 11 S SD: 5.3225 cents 13 .. 26 match: 13 H SD: 4.5919 cents 14 .. 28 match: 14 H SD: 4.9841 cents 15 .. 30 match: 15 H SD: 2.8315 cents 16 .. 32 match: 14 SD: 3.8850 cents 17 .. 34 match: 16 SD: 3.8089 cents 18 .. 36 match: 17 S SD: 4.0384 cents 19 .. 38 match: 19 H SD: 3.5339 cents 20 .. 40 match: 18 SD: 3.2367 cents 21 .. 42 match: 17 SD: 3.4166 cents 22 .. 44 match: 18 SD: 2.9931 cents 23 .. 46 match: 18 SD: 3.5698 cents 24 .. 48 match: 21 SD: 2.9115 cents 25 .. 50 match: 20 SD: 2.8530 cents 26 .. 52 match: 20 SD: 2.8198 cents 27 .. 54 match: 22 SD: 2.7297 cents 28 .. 56 match: 21 SD: 2.4837 cents 29 .. 58 match: 21 SD: 2.4643 cents 30 .. 60 match: 22 SD: 1.7663 cents 31 .. 62 match: 21 SD: 2.6056 cents 32 .. 64 match: 24 SD: 1.8847 cents 33 .. 66 match: 23 SD: 2.2761 cents 34 .. 68 match: 23 SD: 2.3598 cents 35 .. 70 match: 23 SD: 2.0235 cents 36 .. 72 match: 23 SD: 1.9915 cents 37 .. 74 match: 23 SD: 2.4160 cents 38 .. 76 match: 23 SD: 2.0864 cents 39 .. 78 match: 24 SD: 1.7937 cents 40 .. 80 match: 24 SD: 1.3230 cents 48 .. 96 match: 24 SD: 1.2524 cents 49 .. 98 match: 24 SD: 1.1725 cents 57 .. 114 match: 24 SD: 1.1645 cents 60 .. 120 match: 24 SD: 1.0210 cents 68 .. 136 match: 24 SD: 1.0125 cents 72 .. 144 match: 24 SD: 0.9236 cents 80 .. 160 match: 24 SD: 0.8742 cents 81 .. 162 match: 24 SD: 0.8283 cents 84 .. 168 match: 24 SD: 0.8021 cents 88 .. 176 match: 24 SD: 0.7576 cents 89 .. 178 match: 24 SD: 0.7152 cents 90 .. 180 match: 24 SD: 0.6210 cents 102 .. 204 match: 24 SD: 0.6156 cents 104 .. 208 match: 24 SD: 0.5927 cents 117 .. 234 match: 24 SD: 0.5271 cents 129 .. 258 match: 24 SD: 0.4977 cents 130 .. 260 match: 24 SD: 0.4814 cents 140 .. 280 match: 24 SD: 0.4688 cents 144 .. 288 match: 24 SD: 0.4535 cents 147 .. 294 match: 24 SD: 0.4046 cents 156 .. 312 match: 24 SD: 0.3971 cents 179 .. 358 match: 24 SD: 0.3496 cents 188 .. 376 match: 24 SD: 0.3485 cents 191 .. 382 match: 24 SD: 0.3449 cents 197 .. 394 match: 24 SD: 0.3416 cents 200 .. 400 match: 24 SD: 0.3354 cents 201 .. 402 match: 24 SD: 0.2580 cents 241 .. 482 match: 24 SD: 0.2553 cents 246 .. 492 match: 24 SD: 0.2177 cents 289 .. 578 match: 24 SD: 0.1850 cents 331 .. 662 match: 24 SD: 0.1680 cents 350 .. 700 match: 24 SD: 0.1550 cents 391 .. 782 match: 24 SD: 0.1371 cents 433 .. 866 match: 24 SD: 0.1357 cents 441 .. 882 match: 24 SD: 0.1314 cents 451 .. 902 match: 24 SD: 0.1273 cents 481 .. 962 match: 24 SD: 0.1124 cents 522 .. 1044 match: 24 SD: 0.0972 cents 598 .. 1196 match: 24 SD: 0.0953 cents