Scala analysis: Ethiopia_Mus_03_1976
Mus 3 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 314.000 cents 314.000000 2: 554.000 cents 554.000000 3: 731.000 cents 731.000000 4: 1082.000 cents 1082.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 118.0000 cents 118.0000 1: 314.0000 cents 314.0000 2: 240.0000 cents 240.0000 3: 177.0000 cents 177.0000 4: 351.0000 cents 351.0000 5: 118.0000 cents 118.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.00000 cents 1: 1 177.00000 cents 1: 1 240.00000 cents 1: 1 314.00000 cents 1: 1 351.00000 cents 2: 1 417.00000 cents 2: 1 432.00000 cents 2: 1 469.00000 cents 2: 1 528.00000 cents 2: 1 554.00000 cents 3: 1 646.00000 cents 3: 1 672.00000 cents 3: 1 731.00000 cents 3: 1 768.00000 cents 3: 1 783.00000 cents 4: 1 849.00000 cents 4: 1 886.00000 cents 4: 1 960.00000 cents 4: 1 1023.00000 cents 4: 1 1082.00000 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 : 314.0 554.0 731.0 1082.0 1200.0 314.0 : 240.0 417.0 768.0 886.0 1200.0 554.0 : 177.0 528.0 646.0 960.0 1200.0 731.0 : 351.0 469.0 783.0 1023.0 1200.0 1082.0: 118.0 432.0 672.0 849.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.0000 .. 351.0000 cents 233.00000 cents 118.00000 cents 2: 417.0000 .. 554.0000 cents 137.00000 cents 66.00000 cents 3: 646.0000 .. 783.0000 cents 137.00000 cents 92.00000 cents 4: 849.0000 .. 1082.0000 cents 233.00000 cents 66.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 118.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 351.00000 cents Average / Smallest step : 2.033898 Largest / Average step : 1.462500 Largest / Smallest step : 2.974576 Median interval of one step : 240.00000 cents, amount: 1 Least squares average step : 253.50909 cents, oct.: 1267.54545 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 314 554 731 1082 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1141 of 1141.000 cents and inv. generated superset size: 241 = 236 more = 4820.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DCBEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 66.00000 cents Scale diversity : 1.757373 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.383333 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 : 15.00000 cents Number of recognisable fifths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 233.0000 cents: 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 72.0514 c. M: 122.0000 c. 7: 2 1 1 2 1 P M ME S SD: 38.2501 c. M: 53.4286 c. Thai mode 6 8: 2 2 1 2 1 P M ME S SD: 27.1919 c. M:-46.0000 c. Father-5 11: 3 2 2 3 1 SP D3 S SD: 16.6955 c. M:-32.6364 c. 17: 4 4 2 5 2 SP T3 S SD: 21.3738 c. M: 31.6471 c. 18: 5 3 3 5 2 SP T3 S SD: 14.4322 c. M: 20.6667 c. 19: 5 4 3 5 2 SP SD: 14.1679 c. M:-26.8947 c. 20: 5 4 3 6 2 SP SD: 10.1686 c. M: 14.0000 c. 28: 7 6 4 8 3 SP SD: 8.0440 c. M: 14.0000 c. 30: 8 6 4 9 3 SP SD: 6.2769 c. M: 11.0000 c. 31: 8 6 5 9 3 SP SD: 6.1293 c. M: 12.0645 c. 39: 10 8 6 11 4 SP SD: 4.9246 c. M:-7.4615 c. 41: 11 8 6 12 4 SP SD: 3.7143 c. M:-7.9512 c. 43: 11 9 6 13 4 SP SD: 5.2235 c. M: 7.0233 c. 50: 13 10 7 15 5 SP SD: 5.1575 c. M: 11.0000 c. 54: 14 11 8 16 5 SP SD: 3.5684 c. M:-6.8889 c. 58: 15 12 8 17 6 SP SD: 4.8882 c. M: 6.8621 c. 61: 16 12 9 18 6 SP SD: 2.0243 c. M: 3.1803 c. 95: 25 19 14 28 9 SP SD: 2.3534 c. M:-4.3158 c. 100: 26 20 15 29 10 SP SD: 1.6125 c. M: 2.0000 c. 115: 30 23 17 34 11 SP SD: 1.5812 c. M:-3.2174 c. 123: 32 25 18 36 12 SP SD: 1.3429 c. M:-2.0976 c. 130: 34 26 19 38 13 SP SD: 1.1981 c. M: 2.0000 c. 141: 37 28 21 41 14 SP SD: 0.8496 c. M: 1.1489 c. 184: 48 37 27 54 18 SP SD: 0.5875 c. M: 0.9565 c. 225: 59 45 33 66 22 SP SD: 0.5375 c. M:-0.6667 c. 264: 69 53 39 77 26 SP SD: 0.4759 c. M:-0.8182 c. 325: 85 65 48 95 32 SP SD: 0.1240 c. M: 0.1538 c. 875: 229 175 129 256 86 SP SD: 0.0461 c. M:-0.0571 c. 1200: 314 240 177 351 118 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 14.5225 cents 3 x 4:5 x 6 S SD: 54.4159 cents 4:5 x 6:7:8 S SD: 34.3523 cents 5:6:7:8:9:10 H SD: 21.7260 cents 6:7:8:9:11:12 SD: 17.0422 cents 8:10:11:12:15:16 S SD: 15.6453 cents 9:11:12:14:17:18 SD: 15.1790 cents 10:12:14:15:19:20 SD: 10.0237 cents 14:17:19:21:26:28 SD: 9.1217 cents 15:18:21:23:28:30 SD: 5.9961 cents 21:25:29:32:39:42 SD: 3.3463 cents 29:35:40:44:54:58 SD: 3.2221 cents 40:48:55:61:75:80 SD: 1.4052 cents 61:73:84:93:114:122 SD: 0.6552 cents 130:156:179:198:243:260 SD: 0.6470 cents 135:162:186:206:252:270 SD: 0.4826 cents 175:210:241:267:327:350 SD: 0.3432 cents 196:235:270:299:366:392 SD: 0.1988 cents 236:283:325:360:441:472 SD: 0.1149 cents 297:356:409:453:555:594 SD: 0.1092 cents 432:518:595:659:807:864 SD: 0.0847 cents 493:591:679:752:921:986 SD: 0.0463 cents