Scala analysis: Ethiopia_Mus_02_Yammatbal
Mus 2 Yammatbal, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 344.000 cents 344.000000 2: 538.000 cents 538.000000 3: 682.000 cents 682.000000 4: 1054.000 cents 1054.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 146.0000 cents 146.0000 1: 344.0000 cents 344.0000 2: 194.0000 cents 194.0000 3: 144.0000 cents 144.0000 4: 372.0000 cents 372.0000 5: 146.0000 cents 146.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 144.00000 cents 1: 1 146.00000 cents 1: 1 194.00000 cents 1: 1 344.00000 cents 1: 1 372.00000 cents 2: 1 338.00000 cents 2: 1 490.00000 cents 2: 1 516.00000 cents 2: 1 518.00000 cents 2: 1 538.00000 cents 3: 1 662.00000 cents 3: 1 682.00000 cents 3: 1 684.00000 cents 3: 1 710.00000 cents 3: 1 862.00000 cents 4: 1 828.00000 cents 4: 1 856.00000 cents 4: 1 1006.00000 cents 4: 1 1054.00000 cents 4: 1 1056.00000 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 : 344.0 538.0 682.0 1054.0 1200.0 344.0 : 194.0 338.0 710.0 856.0 1200.0 538.0 : 144.0 516.0 662.0 1006.0 1200.0 682.0 : 372.0 518.0 862.0 1056.0 1200.0 1054.0: 146.0 490.0 684.0 828.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 144.0000 .. 372.0000 cents 228.00000 cents 144.00000 cents 2: 338.0000 .. 538.0000 cents 200.00000 cents -34.00000 cents 3: 662.0000 .. 862.0000 cents 200.00000 cents 124.00000 cents 4: 828.0000 .. 1056.0000 cents 228.00000 cents -34.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 144.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 372.00000 cents Average / Smallest step : 1.666667 Largest / Average step : 1.550000 Largest / Smallest step : 2.583333 Median interval of one step : 194.00000 cents, amount: 1 Least squares average step : 248.76364 cents, oct.: 1243.81818 cents Scale is not proper Scale is a mode of a 600-tone equal temperament with octave 1200.000 cents degrees: 172 269 341 527 600 Least number of segments generator : 301 of 602.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 343 of 686.000 cents and inv. generated superset size: 103 = 98 more = 2060.000% 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 6.00000 cents Scale diversity : 1.472694 Lumma stability : 0.343333 Lumma impropriety factor : 0.056667 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 710.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 226.0000 cents: 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 69.9428 c. M: 104.0000 c. 6: 2 1 0 2 1 N T3 SD: 57.6541 c. M: 82.0000 c. 7: 2 1 1 2 1 P M ME S SD: 15.6466 c. M: 25.4286 c. Thai mode 6 16: 5 2 2 5 2 N M DE S SD: 15.4596 c. M:-31.0000 c. Mavila-5, Patet dang 17: 5 3 2 5 2 P T3 SD: 16.6540 c. M:-26.7059 c. 18: 5 3 2 6 2 N SD: 10.3064 c. M: 15.3333 c. 24: 7 4 3 7 3 P T3 SD: 10.1980 c. M:-18.0000 c. 25: 7 4 3 8 3 N SD: 7.3212 c. M: 10.0000 c. 32: 9 5 4 10 4 N SD: 7.4330 c. M: 13.0000 c. 35: 10 6 4 11 4 N SD: 6.4079 c. M:-10.5714 c. 42: 12 7 5 13 5 N SD: 3.1168 c. M:-4.8571 c. 49: 14 8 6 15 6 N SD: 1.8212 c. M:-3.7143 c. 67: 19 11 8 21 8 N SD: 2.1689 c. M: 3.7015 c. 74: 21 12 9 23 9 N SD: 2.0505 c. M: 3.4595 c. 83: 24 13 10 26 10 N SD: 2.3010 c. M: 3.0602 c. 91: 26 15 11 28 11 N SD: 2.1479 c. M:-3.7143 c. 100: 29 16 12 31 12 N SD: 2.3664 c. M:-4.0000 c. 105: 30 17 13 32 13 N SD: 2.1189 c. M:-3.7143 c. 107: 31 17 13 33 13 N SD: 1.8987 c. M:-3.6636 c. 109: 31 18 13 34 13 N SD: 1.9025 c. M:-2.8807 c. 116: 33 19 14 36 14 N SD: 1.3284 c. M: 2.6207 c. 123: 35 20 15 38 15 N SD: 1.3719 c. M: 2.5366 c. 125: 36 20 15 39 15 N SD: 1.1730 c. M:-2.0000 c. 132: 38 21 16 41 16 N SD: 1.0123 c. M: 1.6364 c. 167: 48 27 20 52 20 N SD: 1.2095 c. M:-2.2874 c. 174: 50 28 21 54 21 N SD: 0.7266 c. M:-1.1724 c. 181: 52 29 22 56 22 N SD: 0.6803 c. M: 0.9834 c. 248: 71 40 30 77 30 N SD: 0.5983 c. M: 0.9032 c. 297: 85 48 36 92 36 N SD: 0.5824 c. M:-0.8283 c. 303: 87 49 36 94 37 N SD: 0.5708 c. M: 0.8119 c. 345: 99 56 41 107 42 N SD: 0.5430 c. M:-1.1304 c. 352: 101 57 42 109 43 N SD: 0.4215 c. M:-0.6364 c. 377: 108 61 45 117 46 N SD: 0.4310 c. M: 0.8329 c. 419: 120 68 50 130 51 N SD: 0.2939 c. M:-0.4248 c. 426: 122 69 51 132 52 N SD: 0.2968 c. M: 0.4789 c. 468: 134 76 56 145 57 N SD: 0.2855 c. M:-0.4615 c. 533: 153 86 64 165 65 N SD: 0.2726 c. M:-0.4653 c. 544: 156 88 65 169 66 N SD: 0.2775 c. M:-0.4118 c. 551: 158 89 66 171 67 N SD: 0.1620 c. M: 0.3303 c. 593: 170 96 71 184 72 N SD: 0.1847 c. M:-0.3002 c. 600: 172 97 72 186 73 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: 9.9775 cents 3 x 4 x x 6 S SD: 19.9775 cents 4:5 x 6:7:8 S SD: 24.2941 cents 5:6:7 x 9:10 SD: 16.0288 cents 7:9 x 10:13:14 SD: 28.2528 cents 8:10:11:12:15:16 S SD: 11.9002 cents 13:16:18:19:24:26 SD: 7.9109 cents 14:17:19:21:26:28 SD: 5.8659 cents 19:23:26:28:35:38 SD: 3.6209 cents 27:33:37:40:50:54 SD: 3.0518 cents 31:38:42:46:57:62 SD: 2.9918 cents 33:40:45:49:61:66 SD: 2.9614 cents 36:44:49:53:66:72 SD: 2.8646 cents 41:50:56:61:75:82 SD: 2.0891 cents 50:61:68:74:92:100 SD: 1.3525 cents 68:83:93:101:125:136 SD: 1.0174 cents 87:106:119:129:160:174 SD: 0.9546 cents 91:111:124:135:167:182 SD: 0.7620 cents 104:127:142:154:191:208 SD: 0.7277 cents 110:134:150:163:202:220 SD: 0.6635 cents 118:144:161:175:217:236 SD: 0.2103 cents 296:361:404:439:544:592 SD: 0.1592 cents 346:422:472:513:636:692 SD: 0.0982 cents 414:505:565:614:761:828 SD: 0.0967 cents 464:566:633:688:853:928 SD: 0.0653 cents