Scala analysis: Ethiopia_Mus_01_1976
Mus 1 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 333.000 cents 333.000000 2: 562.000 cents 562.000000 3: 713.000 cents 713.000000 4: 1088.000 cents 1088.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 112.0000 cents 112.0000 1: 333.0000 cents 333.0000 2: 229.0000 cents 229.0000 3: 151.0000 cents 151.0000 4: 375.0000 cents 375.0000 5: 112.0000 cents 112.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 112.00000 cents 1: 1 151.00000 cents 1: 1 229.00000 cents 1: 1 333.00000 cents 1: 1 375.00000 cents 2: 1 380.00000 cents 2: 1 445.00000 cents 2: 1 487.00000 cents 2: 1 526.00000 cents 2: 1 562.00000 cents 3: 1 638.00000 cents 3: 1 674.00000 cents 3: 1 713.00000 cents 3: 1 755.00000 cents 3: 1 820.00000 cents 4: 1 825.00000 cents 4: 1 867.00000 cents 4: 1 971.00000 cents 4: 1 1049.00000 cents 4: 1 1088.00000 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 : 333.0 562.0 713.0 1088.0 1200.0 333.0 : 229.0 380.0 755.0 867.0 1200.0 562.0 : 151.0 526.0 638.0 971.0 1200.0 713.0 : 375.0 487.0 820.0 1049.0 1200.0 1088.0: 112.0 445.0 674.0 825.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 112.0000 .. 375.0000 cents 263.00000 cents 112.00000 cents 2: 380.0000 .. 562.0000 cents 182.00000 cents 5.00000 cents 3: 638.0000 .. 820.0000 cents 182.00000 cents 76.00000 cents 4: 825.0000 .. 1088.0000 cents 263.00000 cents 5.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 112.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 375.00000 cents Average / Smallest step : 2.142857 Largest / Average step : 1.562500 Largest / Smallest step : 3.348214 Median interval of one step : 229.00000 cents, amount: 1 Least squares average step : 253.60000 cents, oct.: 1268.00000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 333 562 713 1088 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 859 of 859.000 cents and inv. generated superset size: 119 = 114 more = 2380.000% 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 5.00000 cents Scale diversity : 1.730375 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.258333 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 : 5.00000 cents Number of recognisable fifths : 1, average 713.0000 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: 79.7571 c. M: 128.0000 c. 7: 2 1 1 2 1 P M ME S SD: 36.4694 c. M: 59.4286 c. Thai mode 6 8: 2 2 1 2 1 P M ME S SD: 32.6986 c. M:-38.0000 c. Father-5 10: 3 2 1 3 1 P T3 SD: 21.3822 c. M:-38.0000 c. 13: 4 2 2 4 1 P T3 S SD: 21.9783 c. M:-36.2308 c. 15: 4 3 2 5 1 P SD: 15.7861 c. M:-32.0000 c. 17: 5 3 2 5 2 P T3 SD: 16.1672 c. M: 29.1765 c. 18: 5 3 3 5 2 SP T3 S SD: 18.3872 c. M: 28.6667 c. 19: 5 4 2 6 2 P SD: 13.2357 c. M: 18.2632 c. 22: 6 4 3 7 2 P SD: 8.1277 c. M: 16.5455 c. 25: 7 5 3 8 2 P SD: 10.0995 c. M:-16.0000 c. 30: 8 6 4 9 3 SP SD: 7.5631 c. M: 13.0000 c. 32: 9 6 4 10 3 P SD: 2.0494 c. M:-4.5000 c. 62: 17 12 8 19 6 SP SD: 2.9355 c. M: 4.1290 c. 79: 22 15 10 25 7 P SD: 2.6229 c. M:-5.6709 c. 86: 24 16 11 27 8 P SD: 2.0235 c. M: 3.8605 c. 94: 26 18 12 29 9 SP SD: 1.6263 c. M: 2.8936 c. 98: 27 19 12 31 9 P SD: 1.9155 c. M: 2.7959 c. 109: 30 21 14 34 10 SP SD: 1.9021 c. M: 2.7248 c. 118: 33 22 15 37 11 P SD: 1.7438 c. M: 2.6780 c. 119: 33 23 15 37 11 SP SD: 1.8617 c. M:-2.9664 c. 126: 35 24 16 39 12 SP SD: 1.1830 c. M: 2.2857 c. 130: 36 25 16 41 12 P SD: 1.2752 c. M: 2.2308 c. 141: 39 27 18 44 13 SP SD: 1.1581 c. M:-1.8936 c. 148: 41 28 19 46 14 SP SD: 1.3661 c. M: 2.5405 c. 151: 42 29 19 47 14 SP SD: 1.4928 c. M:-2.2384 c. 158: 44 30 20 49 15 SP SD: 1.0902 c. M: 1.9241 c. 162: 45 31 20 51 15 P SD: 1.0389 c. M: 1.8889 c. 173: 48 33 22 54 16 SP SD: 0.7956 c. M:-1.4509 c. 205: 57 39 26 64 19 SP SD: 0.6869 c. M:-1.1463 c. 224: 62 43 28 70 21 SP SD: 0.5449 c. M: 0.8571 c. 256: 71 49 32 80 24 SP SD: 0.3963 c. M:-0.5000 c. 310: 86 59 39 97 29 SP SD: 0.4754 c. M: 0.7419 c. 335: 93 64 42 105 31 SP SD: 0.4708 c. M:-0.9552 c. 342: 95 65 43 107 32 SP SD: 0.4611 c. M: 0.7193 c. 397: 110 76 50 124 37 SP SD: 0.3006 c. M: 0.5063 c. 429: 119 82 54 134 40 SP SD: 0.1838 c. M:-0.2867 c. 461: 128 88 58 144 43 SP SD: 0.1788 c. M:-0.2560 c. 685: 190 131 86 214 64 SP SD: 0.1732 c. M:-0.3358 c. 717: 199 137 90 224 67 SP SD: 0.1670 c. M:-0.3431 c. 739: 205 141 93 231 69 SP SD: 0.1115 c. M: 0.1597 c. 771: 214 147 97 241 72 SP SD: 0.1023 c. M: 0.1595 c. 912: 253 174 115 285 85 SP SD: 0.1311 c. M:-0.1579 c. 944: 262 180 119 295 88 SP SD: 0.1075 c. M:-0.1356 c. 1168: 324 223 147 365 109 SP SD: 0.0561 c. M: 0.1233 c. 1200: 333 229 151 375 112 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: 5.5225 cents 3 x 4:5 x 6 S SD: 60.9682 cents 4:5 x 6 x 8 S SD: 18.1486 cents 8:10:11:12:15:16 S SD: 11.0969 cents 10:12:14:15:19:20 SD: 7.4358 cents 18:22:25:27:34:36 SD: 4.6686 cents 23:28:32:35:43:46 SD: 3.8288 cents 24:29:33:36:45:48 SD: 3.2563 cents 33:40:46:50:62:66 SD: 2.9905 cents 37:45:51:56:69:74 SD: 2.6768 cents 39:47:54:59:73:78 SD: 2.2117 cents 47:57:65:71:88:94 SD: 0.5504 cents 104:126:144:157:195:208 SD: 0.3231 cents 151:183:209:228:283:302 SD: 0.2008 cents 326:395:451:492:611:652 SD: 0.1787 cents 373:452:516:563:699:746 SD: 0.1678 cents 391:474:541:590:733:782 SD: 0.1608 cents 438:531:606:661:821:876 SD: 0.1375 cents 542:657:750:818:1016:1084 SD: 0.1141 cents 589:714:815:889:1104:1178 SD: 0.1067 cents