Scala analysis: Brazil_Pifano_02
Pifano 2 (Pifano), Brazil
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.000 cents 189.000000 2: 412.000 cents 412.000000 3: 484.000 cents 484.000000 4: 744.000 cents 744.000000 5: 807.000 cents 807.000000 6: 975.000 cents 975.000000 7: 1166.000 cents 1166.000000 8: 1362.000 cents 1362.000000 9: 1575.000 cents 1575.000000 10: 1674.000 cents 1674.000000 11: 1935.000 cents 1935.000000 12: 2024.000 cents 2024.000000
SHOW/INTERVAL
0: 89.0000 cents 89.0000 1: 189.0000 cents 189.0000 2: 223.0000 cents 223.0000 3: 72.0000 cents 72.0000 4: 260.0000 cents 260.0000 5: 63.0000 cents 63.0000 6: 168.0000 cents 168.0000 7: 191.0000 cents 191.0000 8: 196.0000 cents 196.0000 9: 213.0000 cents 213.0000 10: 99.0000 cents 99.0000 11: 261.0000 cents 261.0000 12: 89.0000 cents 89.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 63.00000 cents 1: 1 72.00000 cents 1: 1 89.00000 cents 1: 1 99.00000 cents 1: 1 168.00000 cents 1: 1 189.00000 cents 1: 1 191.00000 cents 1: 1 196.00000 cents 1: 1 213.00000 cents 1: 1 223.00000 cents 1: 1 260.00000 cents 1: 1 261.00000 cents 2: 1 231.00000 cents 2: 1 278.00000 cents 2: 1 295.00000 cents 2: 1 312.00000 cents 2: 1 323.00000 cents 2: 1 332.00000 cents 2: 1 350.00000 cents 2: 1 359.00000 cents 2: 1 360.00000 cents 2: 1 387.00000 cents 2: 1 409.00000 cents 2: 1 412.00000 cents 3: 1 395.00000 cents 3: 1 422.00000 cents 3: 1 449.00000 cents 3: 1 484.00000 cents 3: 1 491.00000 cents 3: 1 501.00000 cents 3: 1 508.00000 cents 3: 1 539.00000 cents 3: 2 555.00000 cents 3: 1 573.00000 cents 3: 1 600.00000 cents 4: 1 563.00000 cents 4: 1 573.00000 cents 4: 2 618.00000 cents 4: 1 638.00000 cents 4: 1 662.00000 cents 4: 1 682.00000 cents 4: 1 699.00000 cents 4: 1 744.00000 cents 4: 1 762.00000 cents 4: 1 768.00000 cents 4: 1 769.00000 cents 5: 1 754.00000 cents 5: 1 786.00000 cents 5: 1 807.00000 cents 5: 1 831.00000 cents 5: 1 833.00000 cents 5: 1 834.00000 cents 5: 1 851.00000 cents 5: 1 858.00000 cents 5: 1 861.00000 cents 5: 1 867.00000 cents 5: 1 878.00000 cents 5: 1 960.00000 cents 6: 1 896.00000 cents 6: 1 930.00000 cents 6: 1 933.00000 cents 6: 1 950.00000 cents 6: 1 975.00000 cents 6: 1 977.00000 cents 6: 1 1047.00000 cents 6: 1 1049.00000 cents 6: 1 1074.00000 cents 6: 1 1091.00000 cents 6: 1 1094.00000 cents 6: 1 1128.00000 cents 7: 1 1064.00000 cents 7: 1 1146.00000 cents 7: 1 1157.00000 cents 7: 1 1163.00000 cents 7: 1 1166.00000 cents 7: 1 1173.00000 cents 7: 1 1190.00000 cents 7: 1 1191.00000 cents 7: 1 1193.00000 cents 7: 1 1217.00000 cents 7: 1 1238.00000 cents 7: 1 1270.00000 cents 8: 1 1255.00000 cents 8: 1 1256.00000 cents 8: 1 1262.00000 cents 8: 1 1280.00000 cents 8: 1 1325.00000 cents 8: 1 1342.00000 cents 8: 1 1362.00000 cents 8: 1 1386.00000 cents 8: 2 1406.00000 cents 8: 1 1451.00000 cents 8: 1 1461.00000 cents 9: 1 1424.00000 cents 9: 1 1451.00000 cents 9: 2 1469.00000 cents 9: 1 1485.00000 cents 9: 1 1516.00000 cents 9: 1 1523.00000 cents 9: 1 1533.00000 cents 9: 1 1540.00000 cents 9: 1 1575.00000 cents 9: 1 1602.00000 cents 9: 1 1629.00000 cents 10: 1 1612.00000 cents 10: 1 1615.00000 cents 10: 1 1637.00000 cents 10: 1 1664.00000 cents 10: 1 1665.00000 cents 10: 1 1674.00000 cents 10: 1 1692.00000 cents 10: 1 1701.00000 cents 10: 1 1712.00000 cents 10: 1 1729.00000 cents 10: 1 1746.00000 cents 10: 1 1793.00000 cents 11: 1 1763.00000 cents 11: 1 1764.00000 cents 11: 1 1801.00000 cents 11: 1 1811.00000 cents 11: 1 1828.00000 cents 11: 1 1833.00000 cents 11: 1 1835.00000 cents 11: 1 1856.00000 cents 11: 1 1925.00000 cents 11: 1 1935.00000 cents 11: 1 1952.00000 cents 11: 1 1961.00000 cents Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 11.63636 = 128/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 189.0 412.0 484.0 744.0 807.0 975.0 1166.0 1362.0 1575.0 1674.0 1935.0 2024.0 189.0 : 223.0 295.0 555.0 618.0 786.0 977.0 1173.0 1386.0 1485.0 1746.0 1835.0 2024.0 412.0 : 72.0 332.0 395.0 563.0 754.0 950.0 1163.0 1262.0 1523.0 1612.0 1801.0 2024.0 484.0 : 260.0 323.0 491.0 682.0 878.0 1091.0 1190.0 1451.0 1540.0 1729.0 1952.0 2024.0 744.0 : 63.0 231.0 422.0 618.0 831.0 930.0 1191.0 1280.0 1469.0 1692.0 1764.0 2024.0 807.0 : 168.0 359.0 555.0 768.0 867.0 1128.0 1217.0 1406.0 1629.0 1701.0 1961.0 2024.0 975.0 : 191.0 387.0 600.0 699.0 960.0 1049.0 1238.0 1461.0 1533.0 1793.0 1856.0 2024.0 1166.0: 196.0 409.0 508.0 769.0 858.0 1047.0 1270.0 1342.0 1602.0 1665.0 1833.0 2024.0 1362.0: 213.0 312.0 573.0 662.0 851.0 1074.0 1146.0 1406.0 1469.0 1637.0 1828.0 2024.0 1575.0: 99.0 360.0 449.0 638.0 861.0 933.0 1193.0 1256.0 1424.0 1615.0 1811.0 2024.0 1674.0: 261.0 350.0 539.0 762.0 834.0 1094.0 1157.0 1325.0 1516.0 1712.0 1925.0 2024.0 1935.0: 89.0 278.0 501.0 573.0 833.0 896.0 1064.0 1255.0 1451.0 1664.0 1763.0 2024.0 2024.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 63.0000 .. 261.0000 cents 198.00000 cents 63.00000 cents 2: 231.0000 .. 412.0000 cents 181.00000 cents -30.00000 cents 3: 395.0000 .. 600.0000 cents 205.00000 cents -17.00000 cents 4: 563.0000 .. 769.0000 cents 206.00000 cents -37.00000 cents 5: 754.0000 .. 960.0000 cents 206.00000 cents -15.00000 cents 6: 896.0000 .. 1128.0000 cents 232.00000 cents -64.00000 cents 7: 1064.0000 .. 1270.0000 cents 206.00000 cents -64.00000 cents 8: 1255.0000 .. 1461.0000 cents 206.00000 cents -15.00000 cents 9: 1424.0000 .. 1629.0000 cents 205.00000 cents -37.00000 cents 10: 1612.0000 .. 1793.0000 cents 181.00000 cents -17.00000 cents 11: 1763.0000 .. 1961.0000 cents 198.00000 cents -30.00000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 63.00000 cents, class 1 Average step (divided formal octave): 168.6667 cents Largest one step interval : 261.00000 cents Average / Smallest step : 2.677249 Largest / Average step : 1.547431 Largest / Smallest step : 4.142857 Median interval of one step : 190.00000 cents, amount: 0 Least squares average step : 170.57231 cents, oct.: 2046.86769 cents Scale is not proper Scale is a mode of a 2024-tone equal temperament with octave 2024.000 cents degrees: 189 412 484 744 807 975 1166 1362 1575 1674 1935 2024 Least number of segments generator : 1013 of 1013.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1643 of 1643.000 cents and inv. generated superset size: 882 = 870 more = 7350.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHIJKL Step pattern size order : FJBKAEGHIDLC Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 0.256926 Lumma stability : 0.062253 Lumma impropriety factor : 0.161067 Rothenberg efficiency : 0.174242 redundancy: 0.825758 Efficiency x scale size : 2.090909 Number of different interval sizes : 126 = 11.45455 / class Number of one step interval sizes : 12 Highest interval variety : 12 Mean interval variety : 11.63636 = 128/11 Median interval variety : 11 Lowest interval variety : 11 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 1, average 699.0000 cents Number of recognisable fourths : 4, average 496.0000 cents Number of appreciable fourths : 3, average 500.0000 cents Formal octave complements present : 1 = 8.3333% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 44.8149 c. M: 79.6667 c. Twelve-tone Chromatic (1/11-comma) 13: 1 2 0 2 0 1 1 2 1 1 1 1 N D3 SD: 42.5284 c. M: 76.1538 c. 17: 1 2 1 2 1 1 2 1 2 1 2 1 P M ME SD: 35.4542 c. M: 69.9412 c. Supra-12 18: 2 2 0 3 0 2 1 2 2 1 2 1 N SD: 29.0222 c. M:-43.1111 c. 19: 2 2 1 2 1 1 2 2 2 1 2 1 N D3 SD: 25.4393 c. M:-48.6316 c. 21: 2 2 1 3 0 2 2 2 2 1 3 1 N SD: 21.4425 c. M: 35.9524 c. 24: 2 3 1 3 1 2 2 2 3 1 3 1 P T3 SD: 20.8364 c. M:-37.0000 c. 25: 2 3 1 3 1 2 2 3 2 2 3 1 N SD: 19.1672 c. M: 36.7600 c. 29: 3 3 1 4 1 2 3 3 3 1 4 1 N SD: 20.0644 c. M:-33.8621 c. 30: 3 3 1 4 1 2 3 3 3 2 4 1 N SD: 15.8034 c. M: 30.4667 c. 31: 3 3 1 4 1 3 3 3 3 2 4 1 N SD: 17.7291 c. M: 26.9677 c. 33: 3 4 1 4 1 3 3 3 4 1 5 1 N SD: 13.5541 c. M:-27.6667 c. 40: 4 4 2 5 1 3 4 4 4 2 5 2 N SD: 10.6538 c. M:-22.0000 c. 41: 4 4 2 5 1 4 4 4 4 2 5 2 N SD: 12.2934 c. M:-20.2439 c. 43: 4 5 1 6 1 4 4 4 4 3 5 2 N SD: 11.7829 c. M: 21.6977 c. 45: 4 5 2 6 1 4 4 4 5 2 6 2 N SD: 9.8442 c. M:-20.6222 c. 46: 4 5 2 6 1 4 4 5 5 2 6 2 N SD: 10.3642 c. M: 22.0000 c. 49: 5 5 2 6 2 4 4 5 5 3 6 2 N SD: 11.6183 c. M:-19.5510 c. 50: 5 5 2 6 2 4 5 5 5 2 7 2 N SD: 9.3123 c. M: 15.3600 c. 54: 5 6 2 7 2 4 5 5 6 3 7 2 N SD: 8.6110 c. M:-17.5926 c. 58: 5 7 2 7 2 5 5 6 6 3 7 3 N SD: 8.6761 c. M: 15.6897 c. 62: 6 7 2 8 2 5 6 6 6 3 8 3 N SD: 8.0464 c. M:-12.3871 c. 63: 6 7 2 8 2 5 6 6 7 3 8 3 N SD: 6.6589 c. M: 12.6667 c. 68: 6 8 2 9 2 6 6 7 7 3 9 3 N SD: 5.7062 c. M: 10.4118 c. 83: 8 9 3 11 2 7 8 8 9 4 10 4 N SD: 6.3698 c. M:-11.9518 c. 85: 8 9 3 11 3 7 8 8 9 4 11 4 N SD: 4.8480 c. M: 7.7647 c. 95: 9 10 4 12 3 8 9 9 10 5 12 4 N SD: 4.7121 c. M:-9.1158 c. 104: 10 11 4 13 3 9 10 10 11 5 13 5 N SD: 4.3675 c. M: 9.0769 c. 108: 10 12 4 14 3 9 10 11 11 5 14 5 N SD: 3.6470 c. M:-6.0741 c. 116: 11 13 4 15 3 10 11 11 12 6 15 5 N SD: 3.8089 c. M:-6.7586 c. 128: 12 14 5 16 4 11 12 12 14 6 16 6 N SD: 3.7539 c. M:-6.2500 c. 137: 13 15 5 17 5 11 13 13 15 6 18 6 N SD: 3.5049 c. M:-5.7883 c. 139: 13 15 5 18 4 12 13 13 15 7 18 6 N SD: 3.4336 c. M: 7.8129 c. 141: 13 16 5 18 4 12 13 14 15 7 18 6 N SD: 3.2353 c. M:-5.4894 c. 154: 14 17 6 20 4 13 15 15 16 7 20 7 N SD: 3.9368 c. M: 5.2857 c. 155: 14 18 5 20 5 13 14 15 17 7 20 7 N SD: 3.7323 c. M: 6.1871 c. 156: 14 18 5 20 5 13 15 15 16 8 20 7 N SD: 3.4469 c. M: 7.3590 c. 158: 15 17 6 20 5 13 15 15 17 8 20 7 N SD: 2.2374 c. M:-4.1266 c. 168: 16 18 6 22 5 14 16 16 18 8 22 7 N SD: 2.4763 c. M:-4.6667 c. 180: 17 20 6 23 6 15 17 17 19 9 23 8 N SD: 2.2255 c. M:-4.0444 c. 201: 19 22 7 26 6 17 19 19 21 10 26 9 N SD: 2.0365 c. M: 4.1343 c. 206: 19 23 7 27 6 17 20 20 21 10 27 9 N SD: 2.4785 c. M:-3.7087 c. 208: 19 23 8 26 7 17 20 20 22 10 27 9 N SD: 2.3336 c. M: 4.4615 c. 220: 21 24 8 28 7 18 21 21 23 11 28 10 N SD: 2.2576 c. M:-4.2000 c. 225: 21 25 8 29 7 18 22 21 24 11 29 10 N SD: 2.2270 c. M: 3.6711 c. 226: 21 25 8 29 7 19 21 22 24 11 29 10 N SD: 0.9001 c. M: 1.7522 c. 427: 40 47 15 55 13 36 40 41 45 21 55 19 N SD: 0.9276 c. M: 1.6066 c. 432: 40 48 15 56 13 36 41 42 45 21 56 19 N SD: 0.9973 c. M: 1.5926 c. 446: 42 49 16 57 14 37 42 43 47 22 57 20 N SD: 0.9601 c. M: 1.7623 c. 451: 42 50 16 58 14 37 43 43 48 22 58 20 N SD: 0.9373 c. M: 2.1951 c. 456: 43 50 16 59 14 38 43 44 48 22 59 20 N SD: 1.0437 c. M:-1.8596 c. 474: 44 52 17 61 15 39 45 46 50 23 61 21 N SD: 0.9926 c. M: 2.0759 c. 481: 45 53 17 62 15 40 45 47 50 24 62 21 N SD: 0.8061 c. M:-1.3597 c. 544: 51 60 19 70 17 45 51 53 57 27 70 24 N SD: 0.6828 c. M: 1.4559 c. 569: 53 63 20 73 18 47 54 55 60 28 73 25 N SD: 0.6207 c. M:-1.4025 c. 585: 55 64 21 75 18 49 55 57 61 29 75 26 N SD: 0.7246 c. M:-1.2906 c. 590: 55 65 21 76 18 49 56 57 62 29 76 26 N SD: 0.4148 c. M: 0.8305 c. 727: 68 80 26 93 23 60 69 70 77 35 94 32 N SD: 0.5039 c. M: 0.7895 c. 770: 72 85 27 99 24 64 73 74 81 38 99 34 N SD: 0.4637 c. M:-1.0857 c. 816: 76 90 29 105 25 68 77 79 86 40 105 36 N SD: 0.3539 c. M: 0.8725 c. 866: 81 95 31 111 27 72 82 84 91 42 112 38 N SD: 0.4666 c. M: 0.7760 c. 878: 82 97 31 113 27 73 83 85 92 43 113 39 N SD: 0.4488 c. M: 0.9043 c. 920: 86 101 33 118 29 76 87 89 97 45 119 40 N SD: 0.4082 c. M:-1.0000 c. 953: 89 105 34 122 30 79 90 92 101 46 123 42 N SD: 0.3993 c. M:-0.8741 c. 984: 92 108 35 127 30 82 93 95 104 48 127 43 N SD: 0.4664 c. M: 0.6911 c. 988: 92 109 35 127 31 82 93 96 104 48 127 44 N SD: 0.4593 c. M: 1.1377 c. 996: 93 110 35 128 31 83 94 96 105 49 128 44 N SD: 0.3558 c. M:-0.5221 c. 1028: 96 113 37 132 32 85 97 100 108 50 133 45 N SD: 0.3447 c. M: 0.5058 c. 1104: 103 122 39 142 34 92 104 107 116 54 142 49 N SD: 0.3402 c. M: 0.8333 c. 1189: 111 131 42 153 37 99 112 115 125 58 154 52 N SD: 0.3385 c. M: 0.6678 c. 1208: 113 133 43 155 38 100 114 117 127 59 156 53 N SD: 0.2391 c. M:-0.5894 c. 1271: 119 140 45 163 40 105 120 123 134 62 164 56 N SD: 0.3355 c. M:-0.5012 c. 1272: 119 140 45 164 39 106 120 123 134 62 164 56 N SD: 0.3065 c. M:-0.6792 c. 1297: 121 143 46 167 40 108 122 126 136 64 167 57 N SD: 0.2825 c. M:-0.4426 c. 1347: 126 148 48 173 42 112 127 130 142 66 174 59 N SD: 0.2789 c. M: 0.6459 c. 1434: 134 158 51 184 45 119 135 139 151 70 185 63 N SD: 0.1706 c. M:-0.3417 c. 1798: 168 198 64 231 56 149 170 174 189 88 232 79 N SD: 0.1131 c. M:-0.2202 c. 2024: 189 223 72 260 63 168 191 196 213 99 261 89 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x x x 3 x S SD: 23.7064 cents 2 x x x 3 x x 4 x 5 x 6 x S SD: 16.0930 cents 3 x x 4 x 5 x 6:7 x 8:9:10 S SD: 21.9688 cents 4 x 5 x 6 x 7:8:9:10:11:12:13 S SD: 12.5950 cents 5 x 6:7 x 8:9:10:11:12:13:15:16 SD: 16.4703 cents 6:7 x 8:9:10:11:12:13:15:16:18:19 SD: 14.0410 cents 7:8:9 x x 11:12:14:15:17:18:21:23 SD: 11.4046 cents 8:9:10:11:12:13:14:16:18:20:21:24:26 S SD: 9.4133 cents 9:10:11:12:14 x 16:18:20:22:24:28:29 S SD: 8.6744 cents 10:11 x 13:15:16:18:20:22:25:26:31:32 SD: 7.8433 cents 12:13:15:16:18:19:21:24:26:30:32:37:39 SD: 7.5590 cents 13:15 x 17:20:21:23:25:29:32:34:40:42 SD: 7.5564 cents 14:16:18:19 x 22:25:27:31:35:37:43:45 SD: 7.6308 cents 15:17:19:20:23:24:26:29:33:37:39:46:48 SD: 4.4355 cents 17:19:22 x 26:27:30:33:37:42:45:52:55 SD: 4.2774 cents 18:20:23:24:28:29:32:35:40:45:47:55:58 SD: 4.2041 cents 19:21:24:25:29:30:33:37:42:47:50:58:61 SD: 3.2441 cents 25:28:32:33:38:40:44:49:55:62:66:76:80 SD: 2.6255 cents 32:36:41:42:49:51:56:63:70:79:84:98:103 SD: 2.6167 cents 33:37:42:44:51:53:58:65:72:82:87:101:106 SD: 2.3591 cents 34:38:43:45:52:54:60:67:75:84:89:104:109 SD: 1.9536 cents 37:41:47:49:57:59:65:73:81:92:97:113:119 SD: 1.5258 cents 49:55:62:65:75:78:86:96:108:122:129:150:158 SD: 1.4423 cents 52:58:66:69:80:83:91:102:114:129:137:159:167 SD: 0.9159 cents 71:79:90:94:109:113:125:139:156:176:187:217:229 SD: 0.7898 cents 78:87:99:103:120:124:137:153:171:194:205:239:251 SD: 0.6474 cents 86:96:109:114:132:137:151:169:189:214:226:263:277 SD: 0.6103 cents 123:137:156:163:189:196:216:241:270:305:323:376:396 SD: 0.5001 cents 130:145:165:172:200:207:228:255:286:323:342:398:418 SD: 0.4638 cents 149:166:189:197:229:237:262:292:327:370:392:456:480 SD: 0.4428 cents 155:173:197:205:238:247:272:304:340:385:408:474:499 SD: 0.3951 cents 164:183:208:217:252:261:288:322:360:407:431:501:528 SD: 0.3668 cents 182:203:231:241:280:290:320:357:400:452:479:557:586 SD: 0.3545 cents 190:212:241:251:292:303:334:373:417:472:500:581:612 SD: 0.3238 cents 201:224:255:266:309:320:353:394:441:499:529:615:647 SD: 0.3143 cents 205:229:260:271:315:327:360:402:450:509:539:627:660 SD: 0.2829 cents 227:253:288:300:349:362:399:445:499:564:597:694:731 SD: 0.2702 cents 242:270:307:320:372:386:425:475:531:601:636:740:779 SD: 0.2410 cents 261:291:331:345:401:416:458:512:573:648:686:798:840 SD: 0.2109 cents 279:311:354:369:429:445:490:547:613:693:734:853:898 SD: 0.1801 cents 313:349:397:414:481:499:550:614:687:777:823:957:1008 SD: 0.1728 cents 357:398:453:472:549:569:627:700:784:887:939:1092:1149 SD: 0.1471 cents 391:436:496:517:601:623:687:767:859:971:1028:1196:1259 SD: 0.1362 cents 406:453:515:537:624:647:713:796:892:1008:1068:1241:1307 SD: 0.1269 cents 443:494:562:586:681:706:778:869:973:1100:1165:1355:1426 SD: 0.0887 cents