Scala analysis: Ethiopia_Mus_06_1976
Mus 6 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 311.000 cents 311.000000 2: 489.000 cents 489.000000 3: 611.000 cents 611.000000 4: 1036.000 cents 1036.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 164.0000 cents 164.0000 1: 311.0000 cents 311.0000 2: 178.0000 cents 178.0000 3: 122.0000 cents 122.0000 4: 425.0000 cents 425.0000 5: 164.0000 cents 164.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 122.00000 cents 1: 1 164.00000 cents 1: 1 178.00000 cents 1: 1 311.00000 cents 1: 1 425.00000 cents 2: 1 300.00000 cents 2: 1 475.00000 cents 2: 1 489.00000 cents 2: 1 547.00000 cents 2: 1 589.00000 cents 3: 1 611.00000 cents 3: 1 653.00000 cents 3: 1 711.00000 cents 3: 1 725.00000 cents 3: 1 900.00000 cents 4: 1 775.00000 cents 4: 1 889.00000 cents 4: 1 1022.00000 cents 4: 1 1036.00000 cents 4: 1 1078.00000 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 : 311.0 489.0 611.0 1036.0 1200.0 311.0 : 178.0 300.0 725.0 889.0 1200.0 489.0 : 122.0 547.0 711.0 1022.0 1200.0 611.0 : 425.0 589.0 900.0 1078.0 1200.0 1036.0: 164.0 475.0 653.0 775.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 122.0000 .. 425.0000 cents 303.00000 cents 122.00000 cents 2: 300.0000 .. 589.0000 cents 289.00000 cents -125.00000 cents 3: 611.0000 .. 900.0000 cents 289.00000 cents 22.00000 cents 4: 775.0000 .. 1078.0000 cents 303.00000 cents -125.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 122.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 425.00000 cents Average / Smallest step : 1.967213 Largest / Average step : 1.770833 Largest / Smallest step : 3.483607 Median interval of one step : 178.00000 cents, amount: 1 Least squares average step : 241.20000 cents, oct.: 1206.00000 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 311 489 611 1036 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 601 of 601.000 cents and inv. generated superset size: 301 = 296 more = 6020.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DCAEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 11.00000 cents Scale diversity : 1.622082 Lumma stability : 0.221667 Lumma impropriety factor : 0.208333 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 : 11.00000 cents Number of recognisable fifths : 1, average 711.0000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 0 2 1 N T3 SD: 74.9119 c. M: 131.0000 c. 6: 1 1 1 2 1 P M ME S SD: 65.8164 c. M: 111.0000 c. 7: 2 1 1 2 1 P M ME S SD: 38.1881 c. M:-74.7143 c. Thai mode 6 8: 2 1 1 3 1 N T3 SD: 19.7939 c. M: 39.0000 c. 12: 3 2 1 4 2 N SD: 18.2154 c. M: 36.0000 c. Raga Jayakauns 14: 4 2 1 5 2 N SD: 19.1334 c. M:-31.8571 c. 15: 4 2 2 5 2 N T3 SD: 14.2759 c. M:-29.0000 c. 17: 4 3 2 6 2 N SD: 19.7887 c. M: 28.6471 c. 19: 5 3 2 6 3 N SD: 16.4914 c. M: 25.4737 c. 20: 5 3 2 7 3 N SD: 10.7610 c. M: 16.0000 c. 22: 6 3 2 8 3 N SD: 8.8270 c. M:-16.2727 c. 24: 6 4 2 9 3 N SD: 10.5736 c. M:-14.0000 c. 27: 7 4 3 9 4 N SD: 7.9472 c. M: 13.7778 c. 30: 8 4 3 11 4 N SD: 7.7330 c. M: 11.0000 c. 35: 9 5 4 12 5 N SD: 5.9969 c. M: 9.0000 c. 39: 10 6 4 14 5 N SD: 5.3704 c. M:-10.1538 c. 49: 13 7 5 17 7 N SD: 4.7254 c. M: 7.4286 c. 51: 13 8 5 18 7 N SD: 3.2700 c. M:-5.1176 c. 57: 15 8 6 20 8 N SD: 3.6235 c. M:-4.7895 c. 59: 15 9 6 21 8 N SD: 2.7599 c. M: 5.9153 c. 73: 19 11 7 26 10 N SD: 2.3184 c. M:-4.1507 c. 81: 21 12 8 29 11 N SD: 1.6737 c. M: 3.5926 c. 88: 23 13 9 31 12 N SD: 1.8803 c. M:-2.6364 c. 96: 25 14 10 34 13 N SD: 1.3416 c. M:-1.5000 c. 108: 28 16 11 38 15 N SD: 1.1957 c. M: 2.6667 c. 147: 38 22 15 52 20 N SD: 0.8193 c. M:-1.2449 c. 169: 44 25 17 60 23 N SD: 0.8381 c. M:-1.4260 c. 189: 49 28 19 67 26 N SD: 0.8208 c. M: 1.4762 c. 204: 53 30 21 72 28 N SD: 0.6712 c. M:-0.7647 c. 228: 59 34 23 81 31 N SD: 0.5258 c. M:-0.8421 c. 255: 66 38 26 90 35 N SD: 0.5333 c. M:-0.7647 c. 263: 68 39 27 93 36 N SD: 0.5273 c. M: 0.7871 c. 285: 74 42 29 101 39 N SD: 0.4334 c. M:-0.5789 c. 336: 87 50 34 119 46 N SD: 0.2556 c. M:-0.2857 c. 432: 112 64 44 153 59 N SD: 0.0994 c. M:-0.1111 c. 768: 199 114 78 272 105 N SD: 0.0559 c. M:-0.0625 c. 1200: 311 178 122 425 164 N 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: 45.4775 cents 3 x 4 x 5:6 S SD: 50.6369 cents 4:5 x 6:7:8 S SD: 33.9644 cents 5:6 x 7:9:10 SD: 8.5579 cents 8:10 x 11:15:16 SD: 27.3474 cents 9:11:12:13:16:18 SD: 12.0937 cents 10:12:13:14:18:20 SD: 9.7609 cents 12:14:16:17:22:24 SD: 9.5326 cents 15:18:20:21:27:30 SD: 7.0813 cents 16:19:21:23:29:32 SD: 5.8429 cents 21:25:28:30:38:42 SD: 3.4269 cents 31:37:41:44:56:62 SD: 2.9535 cents 40:48:53:57:73:80 SD: 1.5419 cents 61:73:81:87:111:122 SD: 0.8302 cents 71:85:94:101:129:142 SD: 0.8040 cents 111:133:147:158:202:222 SD: 0.6863 cents 116:139:154:165:211:232 SD: 0.5704 cents 132:158:175:188:240:264 SD: 0.3618 cents 239:286:317:340:435:478 SD: 0.2265 cents 300:359:398:427:546:600 SD: 0.1684 cents 371:444:492:528:675:742 SD: 0.0717 cents