Scala analysis: Uganda_Endara_01
Endara 1 (Endara), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 254.000 cents 254.000000 2: 424.000 cents 424.000000 3: 548.000 cents 548.000000 4: 696.000 cents 696.000000 5: 844.000 cents 844.000000 6: 980.000 cents 980.000000 7: 1080.000 cents 1080.000000
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 254.0000 cents 254.0000 2: 170.0000 cents 170.0000 3: 124.0000 cents 124.0000 4: 148.0000 cents 148.0000 5: 148.0000 cents 148.0000 6: 136.0000 cents 136.0000 7: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 1 124.00000 cents 1: 1 136.00000 cents 1: 2 148.00000 cents 1: 1 170.00000 cents 1: 1 254.00000 cents 2: 1 236.00000 cents 2: 1 272.00000 cents 2: 1 284.00000 cents 2: 1 294.00000 cents 2: 1 296.00000 cents 2: 1 354.00000 cents 2: 1 424.00000 cents 3: 1 384.00000 cents 3: 1 420.00000 cents 3: 1 432.00000 cents 3: 1 442.00000 cents 3: 1 490.00000 cents 3: 1 524.00000 cents 3: 1 548.00000 cents 4: 1 532.00000 cents 4: 1 556.00000 cents 4: 1 590.00000 cents 4: 1 638.00000 cents 4: 1 648.00000 cents 4: 1 660.00000 cents 4: 1 696.00000 cents 5: 1 656.00000 cents 5: 1 726.00000 cents 5: 1 784.00000 cents 5: 1 786.00000 cents 5: 1 796.00000 cents 5: 1 808.00000 cents 5: 1 844.00000 cents 6: 1 826.00000 cents 6: 1 910.00000 cents 6: 2 932.00000 cents 6: 1 944.00000 cents 6: 1 956.00000 cents 6: 1 980.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 254.0 424.0 548.0 696.0 844.0 980.0 1080.0 254.0 : 170.0 294.0 442.0 590.0 726.0 826.0 1080.0 424.0 : 124.0 272.0 420.0 556.0 656.0 910.0 1080.0 548.0 : 148.0 296.0 432.0 532.0 786.0 956.0 1080.0 696.0 : 148.0 284.0 384.0 638.0 808.0 932.0 1080.0 844.0 : 136.0 236.0 490.0 660.0 784.0 932.0 1080.0 980.0 : 100.0 354.0 524.0 648.0 796.0 944.0 1080.0 1080.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 254.0000 cents 154.00000 cents 100.00000 cents 2: 236.0000 .. 424.0000 cents 188.00000 cents -18.00000 cents 3: 384.0000 .. 548.0000 cents 164.00000 cents -40.00000 cents 4: 532.0000 .. 696.0000 cents 164.00000 cents -16.00000 cents 5: 656.0000 .. 844.0000 cents 188.00000 cents -40.00000 cents 6: 826.0000 .. 980.0000 cents 154.00000 cents -18.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 154.2857 cents Largest one step interval : 254.00000 cents Average / Smallest step : 1.542857 Largest / Average step : 1.646296 Largest / Smallest step : 2.540000 Median interval of one step : 148.00000 cents, amount: 2 Most common interval of one step : 148.00000 cents, amount: 2 Least squares average step : 165.64286 cents, oct.: 1159.50000 cents Scale is not proper Scale is a mode of a 540-tone equal temperament with octave 1080.000 cents degrees: 127 212 274 348 422 490 540 Least number of segments generator : 271 of 542.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 317 of 634.000 cents and inv. generated superset size: 195 = 188 more = 2785.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDDEF Step pattern size order : FEBDDCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.707615 Lumma stability : 0.185185 Lumma impropriety factor : 0.122222 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.66667 = 20/3 Median interval variety : 6.5 Lowest interval variety : 6 Smallest interval difference : 2.00000 cents Most common intervals : 148.00000 cents & inv., amount: 2 Most common triad is 0.0 148.000 932.000 cents, amount: 1 Number of recognisable fifths : 1, average 696.0000 cents Number of recognisable fourths : 1, average 490.0000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 80.1320 c. M: 115.4286 c. Lebeng 8: 2 1 1 1 1 1 1 P M ME S SD: 22.3703 c. M: 35.0000 c. 12: 3 2 1 2 1 2 1 N T3 SD: 20.0998 c. M: 34.0000 c. 13: 3 2 2 1 2 2 1 N T3 SD: 19.5237 c. M:-33.5385 c. 14: 3 2 2 2 2 2 1 P T3 SD: 19.2189 c. M: 38.2857 c. 17: 4 3 2 2 2 2 2 N SD: 17.1627 c. M: 27.0588 c. 18: 4 3 2 2 3 2 2 P SD: 16.8523 c. M: 36.0000 c. 20: 5 3 2 3 3 2 2 N SD: 11.2377 c. M:-20.0000 c. 22: 5 4 2 3 3 3 2 N SD: 9.4368 c. M:-17.8182 c. 25: 6 4 3 3 4 3 2 N SD: 11.2377 c. M:-20.0000 c. 26: 6 4 3 4 3 4 2 N SD: 10.1806 c. M:-16.9231 c. 28: 7 4 3 4 4 3 3 N SD: 9.1874 c. M:-16.0000 c. 30: 7 5 3 4 4 4 3 N SD: 9.2273 c. M: 16.0000 c. 31: 7 5 4 4 4 4 3 N SD: 6.6494 c. M: 10.1290 c. 33: 8 5 4 4 5 4 3 N SD: 6.0991 c. M: 8.7273 c. 43: 10 7 5 6 6 5 4 N SD: 5.2047 c. M:-9.9535 c. 46: 11 7 5 7 6 6 4 N SD: 5.2415 c. M:-8.3478 c. 51: 12 8 6 7 7 6 5 N SD: 2.8999 c. M: 5.8824 c. 67: 16 10 8 9 9 9 6 N SD: 3.6212 c. M: 5.7910 c. 73: 17 12 8 10 10 9 7 N SD: 2.5528 c. M:-5.0411 c. 84: 20 13 10 11 12 10 8 N SD: 3.0601 c. M:-4.8571 c. 85: 20 13 10 12 11 11 8 N SD: 3.0436 c. M: 5.4118 c. 87: 20 14 10 12 12 11 8 N SD: 2.4169 c. M: 5.7241 c. 90: 21 14 11 12 12 12 8 N SD: 3.1168 c. M:-4.0000 c. 95: 22 15 11 13 13 12 9 N SD: 2.7022 c. M: 3.8947 c. 96: 23 15 11 13 13 12 9 N SD: 2.6525 c. M:-4.7500 c. 97: 23 15 11 14 13 12 9 N SD: 2.5503 c. M:-5.4433 c. 99: 23 16 11 14 13 13 9 N SD: 2.4557 c. M: 4.0000 c. 101: 24 16 11 14 14 13 9 N SD: 2.4917 c. M:-3.7624 c. 105: 25 16 12 15 14 13 10 N SD: 2.4931 c. M:-3.4286 c. 106: 25 17 12 14 15 13 10 N SD: 2.3013 c. M:-3.9245 c. 107: 25 17 12 15 15 13 10 N SD: 1.9783 c. M:-3.8505 c. 110: 26 17 13 15 15 14 10 N SD: 1.3554 c. M:-1.8182 c. 132: 31 21 15 18 18 17 12 N SD: 1.0354 c. M:-1.8182 c. 174: 41 27 20 24 24 22 16 N SD: 1.0926 c. M: 1.9310 c. 175: 41 28 20 24 24 22 16 N SD: 1.2838 c. M:-1.8286 c. 183: 43 29 21 25 25 23 17 N SD: 0.5194 c. M:-0.9180 c. 293: 69 46 34 40 40 37 27 N SD: 0.5691 c. M:-1.2150 c. 349: 82 55 40 48 48 44 32 N SD: 0.5098 c. M:-0.9742 c. 357: 84 56 41 49 49 45 33 N SD: 0.2663 c. M: 0.4706 c. 430: 101 68 49 59 59 54 40 N SD: 0.3467 c. M: 0.4651 c. 489: 115 77 56 67 67 62 45 N SD: 0.3024 c. M:-0.6135 c. 540: 127 85 62 74 74 68 50 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 120.0000 cents 2 x x x 3 x x 4 S SD: 60.0738 cents 3 x x 4 x 5 x 6 S SD: 45.3680 cents 4 x 5 x 6 x 7 x S SD: 13.2522 cents 5:6 x 7 x 8:9 x S SD: 21.3938 cents 6:7 x 8:9:10 x 11 S SD: 14.5108 cents 7:8:9:10 x 11:12:13 S SD: 17.8896 cents 8:9:10:11:12:13:14:15 H SD: 9.2373 cents 9:10 x 12:13:15:16:17 SD: 19.3494 cents 10:12:13:14:15:16:18:19 S SD: 13.7358 cents 11:13:14:15:16:18:19:21 SD: 11.4436 cents 13:15:17:18:19:21:23:24 SD: 9.0647 cents 14:16:18:19:21:23:25:26 SD: 6.2700 cents 18:21:23:25:27:29:32:34 SD: 5.8351 cents 21:24:27:29:31:34:37:39 SD: 5.3433 cents 24:28:31:33:36:39:42:45 SD: 3.9936 cents 30:35:38:41:45:49:53:56 SD: 3.2810 cents 32:37:41:44:48:52:56:60 SD: 2.4093 cents 43:50:55:59:64:70:76:80 SD: 1.8889 cents 51:59:65:70:76:83:90:95 SD: 1.1952 cents 75:87:96:103:112:122:132:140 SD: 0.7766 cents 83:96:106:114:124:135:146:155 SD: 0.6061 cents 126:146:161:173:188:205:222:235 SD: 0.5596 cents 151:175:193:207:226:246:266:282 SD: 0.5266 cents 158:183:202:217:236:257:278:295 SD: 0.5112 cents 172:199:220:236:257:280:303:321 SD: 0.4016 cents 202:234:258:277:302:329:356:377 SD: 0.2764 cents 277:321:354:380:414:451:488:517 SD: 0.2355 cents 285:330:364:391:426:464:502:532 SD: 0.1355 cents