Scala analysis: Bolivia_Sikura_02
Sikura 2 (Sikura), Bolivia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 390.000 cents 390.000000 3: 520.000 cents 520.000000 4: 710.000 cents 710.000000 5: 910.000 cents 910.000000 6: 1010.000 cents 1010.000000 7: 1200.000 cents 1200.000000 8: 1390.000 cents 1390.000000 9: 1590.000 cents 1590.000000 10: 1710.000 cents 1710.000000 11: 1900.000 cents 1900.000000 12: 2090.000 cents 2090.000000 13: 2200.000 cents 2200.000000 14: 2390.000 cents 2390.000000 15: 2590.000 cents 2590.000000 16: 2690.000 cents 2690.000000
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 200.0000 cents 200.0000 2: 190.0000 cents 190.0000 3: 130.0000 cents 130.0000 4: 190.0000 cents 190.0000 5: 200.0000 cents 200.0000 6: 100.0000 cents 100.0000 7: 190.0000 cents 190.0000 8: 190.0000 cents 190.0000 9: 200.0000 cents 200.0000 10: 120.0000 cents 120.0000 11: 190.0000 cents 190.0000 12: 190.0000 cents 190.0000 13: 110.0000 cents 110.0000 14: 190.0000 cents 190.0000 15: 200.0000 cents 200.0000 16: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 100.00000 cents 1: 1 110.00000 cents 1: 1 120.00000 cents 1: 1 130.00000 cents 1: 7 190.00000 cents 1: 4 200.00000 cents 2: 1 290.00000 cents 2: 5 300.00000 cents 2: 1 310.00000 cents 2: 3 320.00000 cents 2: 2 380.00000 cents 2: 4 390.00000 cents 3: 1 480.00000 cents 3: 6 490.00000 cents 3: 3 500.00000 cents 3: 3 510.00000 cents 3: 2 520.00000 cents 3: 1 580.00000 cents 4: 1 600.00000 cents 4: 1 610.00000 cents 4: 2 620.00000 cents 4: 4 680.00000 cents 4: 3 690.00000 cents 4: 3 700.00000 cents 4: 2 710.00000 cents 5: 1 790.00000 cents 5: 3 800.00000 cents 5: 4 810.00000 cents 5: 1 820.00000 cents 5: 1 870.00000 cents 5: 3 880.00000 cents 5: 2 890.00000 cents 5: 1 910.00000 cents 6: 1 980.00000 cents 6: 3 990.00000 cents 6: 6 1000.00000 cents 6: 4 1010.00000 cents 6: 1 1070.00000 cents 6: 1 1080.00000 cents 7: 1 1100.00000 cents 7: 1 1110.00000 cents 7: 1 1120.00000 cents 7: 3 1180.00000 cents 7: 5 1190.00000 cents 7: 4 1200.00000 cents 7: 1 1210.00000 cents 8: 1 1290.00000 cents 8: 3 1300.00000 cents 8: 3 1310.00000 cents 8: 1 1320.00000 cents 8: 1 1370.00000 cents 8: 3 1380.00000 cents 8: 3 1390.00000 cents 8: 1 1400.00000 cents 9: 1 1480.00000 cents 9: 4 1490.00000 cents 9: 5 1500.00000 cents 9: 3 1510.00000 cents 9: 1 1570.00000 cents 9: 1 1580.00000 cents 9: 1 1590.00000 cents 10: 1 1610.00000 cents 10: 1 1620.00000 cents 10: 4 1680.00000 cents 10: 6 1690.00000 cents 10: 3 1700.00000 cents 10: 1 1710.00000 cents 11: 1 1780.00000 cents 11: 2 1800.00000 cents 11: 3 1810.00000 cents 11: 1 1820.00000 cents 11: 1 1870.00000 cents 11: 4 1880.00000 cents 11: 3 1890.00000 cents 11: 1 1900.00000 cents 12: 2 1980.00000 cents 12: 3 1990.00000 cents 12: 3 2000.00000 cents 12: 4 2010.00000 cents 12: 2 2070.00000 cents 12: 1 2080.00000 cents 12: 1 2090.00000 cents 13: 1 2110.00000 cents 13: 2 2170.00000 cents 13: 3 2180.00000 cents 13: 3 2190.00000 cents 13: 6 2200.00000 cents 13: 1 2210.00000 cents 14: 4 2300.00000 cents 14: 2 2310.00000 cents 14: 3 2370.00000 cents 14: 1 2380.00000 cents 14: 5 2390.00000 cents 14: 1 2400.00000 cents 15: 4 2490.00000 cents 15: 7 2500.00000 cents 15: 1 2560.00000 cents 15: 1 2570.00000 cents 15: 1 2580.00000 cents 15: 2 2590.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0.0 : 200.0 390.0 520.0 710.0 910.0 1010.0 1200.0 1390.0 1590.0 1710.0 1900.0 2090.0 2200.0 2390.0 2590.0 2690.0 200.0 : 190.0 320.0 510.0 710.0 810.0 1000.0 1190.0 1390.0 1510.0 1700.0 1890.0 2000.0 2190.0 2390.0 2490.0 2690.0 390.0 : 130.0 320.0 520.0 620.0 810.0 1000.0 1200.0 1320.0 1510.0 1700.0 1810.0 2000.0 2200.0 2300.0 2500.0 2690.0 520.0 : 190.0 390.0 490.0 680.0 870.0 1070.0 1190.0 1380.0 1570.0 1680.0 1870.0 2070.0 2170.0 2370.0 2560.0 2690.0 710.0 : 200.0 300.0 490.0 680.0 880.0 1000.0 1190.0 1380.0 1490.0 1680.0 1880.0 1980.0 2180.0 2370.0 2500.0 2690.0 910.0 : 100.0 290.0 480.0 680.0 800.0 990.0 1180.0 1290.0 1480.0 1680.0 1780.0 1980.0 2170.0 2300.0 2490.0 2690.0 1010.0: 190.0 380.0 580.0 700.0 890.0 1080.0 1190.0 1380.0 1580.0 1680.0 1880.0 2070.0 2200.0 2390.0 2590.0 2690.0 1200.0: 190.0 390.0 510.0 700.0 890.0 1000.0 1190.0 1390.0 1490.0 1690.0 1880.0 2010.0 2200.0 2400.0 2500.0 2690.0 1390.0: 200.0 320.0 510.0 700.0 810.0 1000.0 1200.0 1300.0 1500.0 1690.0 1820.0 2010.0 2210.0 2310.0 2500.0 2690.0 1590.0: 120.0 310.0 500.0 610.0 800.0 1000.0 1100.0 1300.0 1490.0 1620.0 1810.0 2010.0 2110.0 2300.0 2490.0 2690.0 1710.0: 190.0 380.0 490.0 680.0 880.0 980.0 1180.0 1370.0 1500.0 1690.0 1890.0 1990.0 2180.0 2370.0 2570.0 2690.0 1900.0: 190.0 300.0 490.0 690.0 790.0 990.0 1180.0 1310.0 1500.0 1700.0 1800.0 1990.0 2180.0 2380.0 2500.0 2690.0 2090.0: 110.0 300.0 500.0 600.0 800.0 990.0 1120.0 1310.0 1510.0 1610.0 1800.0 1990.0 2190.0 2310.0 2500.0 2690.0 2200.0: 190.0 390.0 490.0 690.0 880.0 1010.0 1200.0 1400.0 1500.0 1690.0 1880.0 2080.0 2200.0 2390.0 2580.0 2690.0 2390.0: 200.0 300.0 500.0 690.0 820.0 1010.0 1210.0 1310.0 1500.0 1690.0 1890.0 2010.0 2200.0 2390.0 2500.0 2690.0 2590.0: 100.0 300.0 490.0 620.0 810.0 1010.0 1110.0 1300.0 1490.0 1690.0 1810.0 2000.0 2190.0 2300.0 2490.0 2690.0 2690.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 200.0000 cents 100.00000 cents 100.00000 cents 2: 290.0000 .. 390.0000 cents 100.00000 cents 90.00000 cents 3: 480.0000 .. 580.0000 cents 100.00000 cents 90.00000 cents 4: 600.0000 .. 710.0000 cents 110.00000 cents 20.00000 cents 5: 790.0000 .. 910.0000 cents 120.00000 cents 80.00000 cents 6: 980.0000 .. 1080.0000 cents 100.00000 cents 70.00000 cents 7: 1100.0000 .. 1210.0000 cents 110.00000 cents 20.00000 cents 8: 1290.0000 .. 1400.0000 cents 110.00000 cents 80.00000 cents 9: 1480.0000 .. 1590.0000 cents 110.00000 cents 80.00000 cents 10: 1610.0000 .. 1710.0000 cents 100.00000 cents 20.00000 cents 11: 1780.0000 .. 1900.0000 cents 120.00000 cents 70.00000 cents 12: 1980.0000 .. 2090.0000 cents 110.00000 cents 80.00000 cents 13: 2110.0000 .. 2210.0000 cents 100.00000 cents 20.00000 cents 14: 2300.0000 .. 2400.0000 cents 100.00000 cents 90.00000 cents 15: 2490.0000 .. 2590.0000 cents 100.00000 cents 90.00000 cents
SHOW DATA
Number of notes : 16 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 168.1250 cents Largest one step interval : 200.00000 cents Average / Smallest step : 1.681250 Largest / Average step : 1.189591 Largest / Smallest step : 2.000000 Median interval of one step : 190.00000 cents, amount: 7 Most common interval of one step : 190.00000 cents, amount: 7 Least squares average step : 171.69118 cents, oct.: 2747.05882 cents Scale is strictly proper Scale is a mode of a 269-tone equal temperament with octave 2690.000 cents degrees: 20 39 52 71 91 101 120 139 159 171 190 209 220 239 259 269 Least number of segments generator : 139 of 1390.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 259 of 2590.000 cents and inv. generated superset size: 83 = 67 more = 518.750% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBADBBAEBBFBAD Step pattern size order : FEDEFAEEFCEEBEFA Scale is a Constant Structure, by a margin of 20.00000 cents Scale diversity :-0.181591 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.408922 Number of different interval sizes : 100 = 6.66667 / class Number of one step interval sizes : 6 Highest interval variety : 8 Mean interval variety : 6.66667 = 20/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 10.00000 cents Most common intervals : 190.00000 cents & inv., amount: 7 Most common triad is 0.0 190.000 2500.000 cents, amount: 2 Number of recognisable fifths : 8, average 698.7500 cents Number of recognisable fourths : 12, average 497.5000 cents Formal octave complements present : 1 = 6.2500% 2/1 octave complements present : 1 = 6.2500% -- Rational properties --
FIT/MODE
16: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 45.8577 c. M: 76.8750 c. 18: 1 2 0 2 1 1 1 1 2 0 2 1 1 1 1 1 N D3 S SD: 42.7920 c. M: 71.6667 c. 21: 1 2 1 1 2 1 1 2 1 1 2 1 1 1 2 1 P M ME SD: 42.1047 c. M: 84.2857 c. 22: 1 2 1 2 1 1 2 1 2 1 1 2 1 1 2 1 P D3 S SD: 38.7387 c. M: 77.7273 c. 25: 2 2 1 2 1 1 2 2 2 1 2 1 1 2 2 1 N D3 SD: 31.2018 c. M: 49.2000 c. 26: 2 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 P D3 S SD: 27.5948 c. M:-48.8462 c. 27: 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 P M ME SD: 9.7535 c. M: 21.8519 c. 61: 5 4 3 4 5 2 4 5 4 3 4 4 3 4 5 2 SP SD: 11.2915 c. M:-21.1475 c. 62: 5 4 3 4 5 2 5 4 5 2 5 4 3 4 5 2 P SD: 11.0416 c. M: 17.9032 c. 69: 5 5 3 5 5 3 5 5 5 3 5 5 2 5 5 3 P SD: 10.7873 c. M: 16.9565 c. 71: 5 5 4 5 5 3 5 5 5 3 5 5 3 5 5 3 SP SD: 8.6723 c. M: 13.6620 c. 81: 6 6 4 5 6 3 6 6 6 3 6 6 3 6 6 3 P SD: 8.5644 c. M: 16.2963 c. 82: 6 6 4 6 6 3 6 5 7 3 6 6 3 6 6 3 P SD: 8.2634 c. M:-17.4390 c. 83: 6 6 4 6 6 3 6 6 6 4 6 6 3 6 6 3 P SD: 6.4744 c. M:-16.6265 c. 95: 7 7 4 7 7 4 6 7 7 4 7 7 4 6 7 4 SP SD: 7.6633 c. M: 13.2632 c. 98: 7 7 5 7 7 4 7 7 7 4 7 7 4 7 7 4 SP SD: 5.8939 c. M:-9.8980 c. 99: 7 7 5 7 7 4 7 7 7 5 7 7 4 7 7 4 SP SD: 6.7945 c. M: 14.0404 c. 103: 8 7 5 7 8 4 7 7 8 5 7 7 4 8 7 4 SP SD: 6.6019 c. M:-13.6893 c. 109: 8 8 5 8 8 4 8 7 8 5 8 8 4 8 8 4 SP SD: 5.4748 c. M: 10.5505 c. 110: 8 8 5 8 8 4 8 8 8 5 8 7 5 8 8 4 SP SD: 4.9936 c. M: 11.3636 c. 125: 9 9 6 9 9 5 9 8 10 5 9 9 5 9 9 5 SP SD: 5.7086 c. M: 12.7200 c. 126: 9 9 6 9 9 5 9 9 9 6 9 9 5 9 9 5 SP SD: 6.0666 c. M: 13.3333 c. 130: 10 9 6 9 10 5 9 9 10 6 9 9 5 10 9 5 SP SD: 4.8594 c. M:-10.3077 c. 132: 10 9 7 9 10 5 9 9 10 6 9 10 5 9 10 5 SP SD: 5.1668 c. M:-9.8485 c. 133: 10 9 7 9 10 5 9 10 10 6 9 9 6 9 10 5 SP SD: 4.8749 c. M:-9.1729 c. 135: 10 10 6 10 10 5 9 10 10 6 9 10 5 10 10 5 SP SD: 5.0480 c. M:-8.5185 c. 136: 10 10 6 10 10 5 10 9 10 6 10 10 5 10 10 5 SP SD: 4.7674 c. M: 8.9706 c. 139: 10 10 7 10 10 5 10 10 10 6 10 10 6 9 11 5 SP SD: 4.5448 c. M: 9.6403 c. 143: 11 10 7 10 11 5 10 10 11 6 10 10 6 10 11 5 SP SD: 5.3454 c. M:-11.7483 c. 144: 11 10 7 10 11 5 10 11 10 7 10 10 6 10 11 5 SP SD: 4.9554 c. M:-11.0417 c. 145: 11 10 7 10 11 5 11 10 11 6 10 11 6 10 11 5 P SD: 5.0506 c. M: 8.2069 c. 151: 11 11 7 11 11 6 10 11 11 7 11 10 6 11 11 6 SP SD: 4.5757 c. M: 8.8079 c. 157: 12 11 7 11 12 6 11 11 12 7 11 11 6 11 12 6 SP SD: 4.3482 c. M: 8.4076 c. 159: 12 11 8 11 12 6 11 11 12 7 11 12 6 11 12 6 SP SD: 3.4547 c. M:-7.8616 c. 160: 12 11 8 11 12 6 11 12 12 7 11 11 7 11 12 6 SP SD: 3.7297 c. M:-7.1875 c. 170: 13 12 8 12 13 6 12 12 13 7 12 12 7 12 13 6 SP SD: 3.9568 c. M:-8.1765 c. 171: 13 12 8 12 13 6 12 12 13 8 12 12 7 12 13 6 SP SD: 3.3778 c. M: 5.6725 c. 186: 14 13 9 13 14 7 13 13 14 8 13 13 8 13 14 7 SP SD: 2.8891 c. M: 7.4194 c. 198: 15 14 9 14 15 7 14 14 15 9 14 14 8 14 15 7 SP SD: 3.1098 c. M:-4.8990 c. 213: 16 15 10 15 16 8 15 15 16 9 15 15 9 15 16 8 SP SD: 2.9039 c. M: 6.1972 c. 215: 16 15 11 15 16 8 15 15 16 10 15 15 9 15 16 8 SP SD: 2.4497 c. M:-5.4884 c. 234: 17 17 11 17 17 9 16 17 17 11 16 17 9 17 17 9 SP SD: 2.8640 c. M: 4.5726 c. 242: 18 17 12 17 18 9 17 17 18 11 17 17 10 17 18 9 SP SD: 1.0882 c. M:-2.4380 c. 269: 20 19 13 19 20 10 19 19 20 12 19 19 11 19 20 10 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 .. 5 match: 4 H SD: 24.2128 cents 2 .. 9 match: 7 H SD: 5.2439 cents 3 .. 14 match: 11 H SD: 10.3427 cents 4 .. 19 match: 13 S SD: 6.6444 cents 5 .. 24 match: 13 SD: 12.1684 cents 6 .. 28 match: 15 SD: 7.2610 cents 7 .. 33 match: 15 SD: 8.9322 cents 8 .. 38 match: 15 SD: 5.1619 cents 14 .. 66 match: 16 SD: 4.2642 cents 15 .. 71 match: 16 SD: 4.0702 cents 16 .. 76 match: 16 SD: 2.9332 cents 20 .. 95 match: 16 SD: 2.7786 cents 23 .. 109 match: 16 SD: 2.0810 cents 26 .. 123 match: 16 SD: 2.0585 cents 31 .. 147 match: 16 SD: 1.9297 cents 32 .. 151 match: 16 SD: 1.3278 cents 39 .. 184 match: 16 SD: 1.2235 cents 40 .. 189 match: 16 SD: 1.2138 cents 43 .. 203 match: 16 SD: 1.0407 cents 48 .. 227 match: 16 SD: 0.8656 cents 63 .. 298 match: 16 SD: 0.8190 cents 71 .. 336 match: 16 SD: 0.6898 cents 75 .. 355 match: 16 SD: 0.6618 cents 83 .. 393 match: 16 SD: 0.5387 cents 91 .. 430 match: 16 SD: 0.3596 cents 140 .. 662 match: 16 SD: 0.3563 cents 146 .. 690 match: 16 SD: 0.2814 cents 162 .. 766 match: 16 SD: 0.2806 cents 174 .. 823 match: 16 SD: 0.2800 cents 178 .. 842 match: 16 SD: 0.2681 cents 194 .. 918 match: 16 SD: 0.2480 cents 197 .. 932 match: 16 SD: 0.2216 cents 211 .. 998 match: 16 SD: 0.2100 cents 229 .. 1083 match: 16 SD: 0.1981 cents 237 .. 1121 match: 16 SD: 0.1612 cents 294 .. 1390 match: 16 SD: 0.1591 cents 302 .. 1428 match: 16 SD: 0.1357 cents 328 .. 1551 match: 16 SD: 0.1227 cents 337 .. 1594 match: 16 SD: 0.1120 cents 400 .. 1892 match: 16 SD: 0.1063 cents 408 .. 1930 match: 16 SD: 0.1025 cents 448 .. 2119 match: 16 SD: 0.0932 cents 483 .. 2284 match: 16 SD: 0.0825 cents 499 .. 2360 match: 16 SD: 0.0746 cents 554 .. 2620 match: 16 SD: 0.0716 cents