Scala analysis: Ethiopia_Mus_08_1976
Mus 8 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 306.000 cents 306.000000 2: 498.000 cents 498.000000 3: 728.000 cents 728.000000 4: 1082.000 cents 1082.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 118.0000 cents 118.0000 1: 306.0000 cents 306.0000 2: 192.0000 cents 192.0000 3: 230.0000 cents 230.0000 4: 354.0000 cents 354.0000 5: 118.0000 cents 118.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.00000 cents 1: 1 192.00000 cents 1: 1 230.00000 cents 1: 1 306.00000 cents 1: 1 354.00000 cents 2: 1 422.00000 cents 2: 1 424.00000 cents 2: 1 472.00000 cents 2: 1 498.00000 cents 2: 1 584.00000 cents 3: 1 616.00000 cents 3: 1 702.00000 cents 3: 1 728.00000 cents 3: 1 776.00000 cents 3: 1 778.00000 cents 4: 1 846.00000 cents 4: 1 894.00000 cents 4: 1 970.00000 cents 4: 1 1008.00000 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 : 306.0 498.0 728.0 1082.0 1200.0 306.0 : 192.0 422.0 776.0 894.0 1200.0 498.0 : 230.0 584.0 702.0 1008.0 1200.0 728.0 : 354.0 472.0 778.0 970.0 1200.0 1082.0: 118.0 424.0 616.0 846.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.0000 .. 354.0000 cents 236.00000 cents 118.00000 cents 2: 422.0000 .. 584.0000 cents 162.00000 cents 68.00000 cents 3: 616.0000 .. 778.0000 cents 162.00000 cents 32.00000 cents 4: 846.0000 .. 1082.0000 cents 236.00000 cents 68.00000 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 : 354.00000 cents Average / Smallest step : 2.033898 Largest / Average step : 1.475000 Largest / Smallest step : 3.000000 Median interval of one step : 230.00000 cents, amount: 1 Least squares average step : 251.16364 cents, oct.: 1255.81818 cents Scale is strictly proper Scale is a mode of a 600-tone equal temperament with octave 1200.000 cents degrees: 153 249 364 541 600 Least number of segments generator : 301 of 602.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 329 of 658.000 cents and inv. generated superset size: 117 = 112 more = 2340.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DBCEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 32.00000 cents Scale diversity : 1.730487 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.336667 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 702.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 62.6546 c. M: 122.0000 c. 7: 2 1 1 2 1 P M ME S SD: 35.4016 c. M: 53.4286 c. Thai mode 6 8: 2 1 2 2 1 P M ME S SD: 27.7417 c. M: 48.0000 c. Agmon Diatonic DS1 10: 3 1 2 3 1 P T3 SD: 25.7216 c. M:-54.0000 c. Pelog Degung: Sunda 11: 3 2 2 3 1 SP D3 S SD: 28.4738 c. M:-47.4545 c. 12: 3 2 2 4 1 P SD: 15.1526 c. M: 28.0000 c. Raga Nata, Udayaravicandrika, Madhuranjani 17: 4 3 3 5 2 SP SD: 17.8919 c. M: 23.6471 c. 19: 5 3 4 5 2 SP SD: 14.9093 c. M:-29.8947 c. 20: 5 3 4 6 2 P SD: 9.2520 c. M: 18.0000 c. 27: 7 4 5 8 3 SP SD: 11.2204 c. M: 16.8889 c. 28: 7 5 5 8 3 SP SD: 9.0918 c. M:-16.2857 c. 31: 8 5 6 9 3 SP SD: 4.4798 c. M:-7.4839 c. 43: 11 7 8 13 4 SP SD: 3.6364 c. M:-6.3721 c. 51: 13 8 10 15 5 SP SD: 1.8549 c. M: 3.8824 c. 79: 20 13 15 23 8 SP SD: 2.4142 c. M: 3.5190 c. 82: 21 13 16 24 8 SP SD: 1.8183 c. M:-3.7073 c. 91: 23 15 17 27 9 SP SD: 2.2272 c. M:-3.0989 c. 94: 24 15 18 28 9 SP SD: 1.4091 c. M:-3.1064 c. 125: 32 20 24 37 12 SP SD: 1.6297 c. M:-2.8000 c. 130: 33 21 25 38 13 SP SD: 1.2365 c. M: 2.0000 c. 142: 36 23 27 42 14 SP SD: 1.0131 c. M: 1.7746 c. 173: 44 28 33 51 17 SP SD: 0.7443 c. M:-1.4220 c. 181: 46 29 35 53 18 SP SD: 1.0068 c. M: 1.3370 c. 183: 47 29 35 54 18 SP SD: 0.9974 c. M:-2.1967 c. 193: 49 31 37 57 19 SP SD: 0.6992 c. M: 1.3368 c. 224: 57 36 43 66 22 SP SD: 0.4015 c. M: 0.6429 c. 325: 83 52 62 96 32 SP SD: 0.4070 c. M: 0.6154 c. 376: 96 60 72 111 37 SP SD: 0.2392 c. M:-0.3830 c. 549: 140 88 105 162 54 SP SD: 0.1723 c. M:-0.3607 c. 600: 153 96 115 177 59 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: 13.0225 cents 3 x 4:5 x 6 S SD: 52.1196 cents 4:5 x 6:7:8 S SD: 35.2996 cents 5:6:7:8:9:10 H SD: 27.3680 cents 6:7:8:9:11:12 SD: 11.4448 cents 14:17:19:21:26:28 SD: 10.2643 cents 15:18:20:23:28:30 SD: 3.0930 cents 21:25:28:32:39:42 SD: 2.2342 cents 36:43:48:55:67:72 SD: 1.7768 cents 61:73:81:93:114:122 SD: 1.7747 cents 63:75:84:96:118:126 SD: 1.2396 cents 78:93:104:119:146:156 SD: 0.9807 cents 84:100:112:128:157:168 SD: 0.8792 cents 99:118:132:151:185:198 SD: 0.7094 cents 144:172:192:219:269:288 SD: 0.5404 cents 159:190:212:242:297:318 SD: 0.5044 cents 165:197:220:251:308:330 SD: 0.4841 cents 180:215:240:274:336:360 SD: 0.4477 cents 207:247:276:315:387:414 SD: 0.3380 cents 222:265:296:338:415:444 SD: 0.2416 cents 228:272:304:347:426:456 SD: 0.2136 cents 243:290:324:370:454:486 SD: 0.0380 cents