Scala analysis: Uganda_Flute
Flute (Flute), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 618.000 cents 618.000000 2: 701.000 cents 701.000000 3: 986.000 cents 986.000000 4: 1269.000 cents 1269.000000 5: 1812.000 cents 1812.000000
SHOW/INTERVAL
0: 543.0000 cents 543.0000 1: 618.0000 cents 618.0000 2: 83.0000 cents 83.0000 3: 285.0000 cents 285.0000 4: 283.0000 cents 283.0000 5: 543.0000 cents 543.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.00000 cents 1: 1 283.00000 cents 1: 1 285.00000 cents 1: 1 543.00000 cents 1: 1 618.00000 cents 2: 1 368.00000 cents 2: 1 568.00000 cents 2: 1 701.00000 cents 2: 1 826.00000 cents 2: 1 1161.00000 cents 3: 1 651.00000 cents 3: 1 986.00000 cents 3: 1 1111.00000 cents 3: 1 1244.00000 cents 3: 1 1444.00000 cents 4: 1 1194.00000 cents 4: 1 1269.00000 cents 4: 1 1527.00000 cents 4: 1 1529.00000 cents 4: 1 1729.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 618.0 701.0 986.0 1269.0 1812.0 618.0 : 83.0 368.0 651.0 1194.0 1812.0 701.0 : 285.0 568.0 1111.0 1729.0 1812.0 986.0 : 283.0 826.0 1444.0 1527.0 1812.0 1269.0: 543.0 1161.0 1244.0 1529.0 1812.0 1812.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.0000 .. 618.0000 cents 535.00000 cents 83.00000 cents 2: 368.0000 .. 1161.0000 cents 793.00000 cents -250.00000 cents 3: 651.0000 .. 1444.0000 cents 793.00000 cents -510.00000 cents 4: 1194.0000 .. 1729.0000 cents 535.00000 cents -250.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 83.00000 cents, class 1 Average step (divided formal octave): 362.4000 cents Largest one step interval : 618.00000 cents Average / Smallest step : 4.366265 Largest / Average step : 1.705298 Largest / Smallest step : 7.445783 Median interval of one step : 285.00000 cents, amount: 1 Least squares average step : 347.52727 cents, oct.: 1737.63636 cents Scale is not proper Scale is a mode of a 1812-tone equal temperament with octave 1812.000 cents degrees: 618 701 986 1269 1812 Least number of segments generator : 907 of 907.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1579 of 1579.000 cents and inv. generated superset size: 197 = 192 more = 3940.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EACBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 25.00000 cents Scale diversity : 0.601780 Lumma stability : 0.091611 Lumma impropriety factor : 0.557395 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 1, average 701.0000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 2 0 1 1 1 N T3 SD: 104.7191 c. M:-180.6000 c. 6: 2 0 1 1 2 N SD: 62.8108 c. M: 97.0000 c. 7: 2 1 1 1 2 N D3 I SD: 61.4017 c. M: 100.2857 c. 8: 3 0 1 2 2 N SD: 61.2283 c. M:-90.0000 c. 9: 3 0 2 1 3 N SD: 52.4464 c. M: 97.0000 c. 10: 3 1 1 2 3 N SD: 50.0043 c. M: 80.0000 c. 11: 4 0 2 2 3 N SD: 34.1585 c. M:-48.8182 c. 13: 4 1 2 2 4 N SD: 28.2483 c. M: 60.4615 c. 17: 6 1 2 3 5 N SD: 25.7430 c. M:-45.1176 c. 18: 6 1 3 3 5 N SD: 21.0238 c. M:-39.6667 c. 20: 7 1 3 3 6 N SD: 13.7230 c. M:-23.8000 c. 24: 8 1 4 4 7 N SD: 13.3323 c. M: 21.5000 c. 26: 9 1 4 4 8 N SD: 9.1591 c. M: 14.5385 c. 33: 11 2 5 5 10 N SD: 8.9777 c. M: 14.0000 c. 39: 13 2 6 6 12 N SD: 10.2979 c. M: 14.5385 c. 41: 14 2 6 7 12 N SD: 8.7880 c. M: 13.7073 c. 44: 15 2 7 7 13 N SD: 3.6000 c. M:-7.6364 c. 64: 22 3 10 10 19 N SD: 4.9027 c. M:-6.8125 c. 70: 24 3 11 11 21 N SD: 2.0400 c. M:-3.2571 c. 103: 35 5 16 16 31 N SD: 1.9317 c. M:-2.6893 c. 114: 39 5 18 18 34 N SD: 1.6236 c. M:-2.5789 c. 147: 50 7 23 23 44 N SD: 1.0784 c. M: 1.6735 c. 173: 59 8 27 27 52 N SD: 1.0370 c. M: 1.6474 c. 217: 74 10 34 34 65 N SD: 0.3717 c. M: 0.6728 c. 507: 173 23 80 79 152 N SD: 0.3379 c. M: 0.5030 c. 610: 208 28 96 95 183 N SD: 0.2904 c. M: 0.6000 c. 654: 223 30 103 102 196 N SD: 0.1708 c. M:-0.3486 c. 724: 247 33 114 113 217 N SD: 0.1430 c. M: 0.2265 c. 871: 297 40 137 136 261 N SD: 0.0820 c. M: 0.1309 c. 941: 321 43 148 147 282 N SD: 0.0759 c. M:-0.1211 c. 1595: 544 73 251 249 478 N SD: 0.0506 c. M:-0.0915 c. 1812: 618 83 285 283 543 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2:3 S SD: 56.6853 cents 2 x 3 x 4:6 S SD: 37.7916 cents 3:4 x 5:6:9 S SD: 48.4594 cents 4 x 6:7:8:11 SD: 23.3709 cents 6 x 9:11:12:17 SD: 23.5289 cents 7:10:11:12:15:20 SD: 21.9191 cents 8:11:12:14:17:23 SD: 15.8745 cents 9:13:14:16:19:26 SD: 15.1592 cents 10:14:15:18:21:28 SD: 11.6058 cents 11:16 x 19:23:31 SD: 13.5170 cents 12:17:18:21:25:34 SD: 4.9179 cents 13:19 x 23:27:37 SD: 9.8035 cents 14:20:21:25:29:40 SD: 4.0803 cents 26:37:39:46:54:74 SD: 1.6779 cents 60:86:90:106:125:171 SD: 1.1520 cents 72:103:108:127:150:205 SD: 0.8885 cents 86:123:129:152:179:245 SD: 0.3669 cents 112:160:168:198:233:319 SD: 0.2818 cents 198:283:297:350:412:564 SD: 0.2307 cents 296:423:444:523:616:843 SD: 0.2244 cents 331:473:496:585:689:943 SD: 0.1932 cents 357:510:535:631:743:1017 SD: 0.1856 cents 417:596:625:737:868:1188 SD: 0.1509 cents 429:613:643:758:893:1222 SD: 0.1489 cents 443:633:664:783:922:1262 SD: 0.1096 cents 529:756:793:935:1101:1507 SD: 0.0911 cents 541:773:811:956:1126:1541 SD: 0.0908 cents