Scala analysis: Ethiopia_Mus_09_1976
Mus 9 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 290.000 cents 290.000000 2: 622.000 cents 622.000000 3: 745.000 cents 745.000000 4: 1052.000 cents 1052.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 148.0000 cents 148.0000 1: 290.0000 cents 290.0000 2: 332.0000 cents 332.0000 3: 123.0000 cents 123.0000 4: 307.0000 cents 307.0000 5: 148.0000 cents 148.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 123.00000 cents 1: 1 148.00000 cents 1: 1 290.00000 cents 1: 1 307.00000 cents 1: 1 332.00000 cents 2: 1 430.00000 cents 2: 1 438.00000 cents 2: 2 455.00000 cents 2: 1 622.00000 cents 3: 1 578.00000 cents 3: 2 745.00000 cents 3: 1 762.00000 cents 3: 1 770.00000 cents 4: 1 868.00000 cents 4: 1 893.00000 cents 4: 1 910.00000 cents 4: 1 1052.00000 cents 4: 1 1077.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 290.0 622.0 745.0 1052.0 1200.0 290.0 : 332.0 455.0 762.0 910.0 1200.0 622.0 : 123.0 430.0 578.0 868.0 1200.0 745.0 : 307.0 455.0 745.0 1077.0 1200.0 1052.0: 148.0 438.0 770.0 893.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 123.0000 .. 332.0000 cents 209.00000 cents 123.00000 cents 2: 430.0000 .. 622.0000 cents 192.00000 cents 98.00000 cents 3: 578.0000 .. 770.0000 cents 192.00000 cents -44.00000 cents 4: 868.0000 .. 1077.0000 cents 209.00000 cents 98.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 123.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 332.00000 cents Average / Smallest step : 1.951220 Largest / Average step : 1.383333 Largest / Smallest step : 2.699187 Median interval of one step : 290.00000 cents, amount: 1 Least squares average step : 254.12727 cents, oct.: 1270.63636 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 290 622 745 1052 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 727 of 727.000 cents and inv. generated superset size: 131 = 126 more = 2620.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CEADB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 44.00000 cents Scale diversity : 1.514770 Lumma stability : 0.368333 Lumma impropriety factor : 0.036667 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 8.00000 cents Most common intervals : 455.00000 cents & inv., amount: 2 Most common triad is 0.0 455.000 1077.000 cents, amount: 1 Number of recognisable fifths : 0 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: 79.6907 c. M: 142.0000 c. 6: 1 2 1 1 1 P M ME S SD: 53.5033 c. M: 90.0000 c. 8: 2 2 1 2 1 P M ME S SD: 11.0725 c. M: 22.0000 c. Father-5 25: 6 7 3 6 3 N T3 SD: 10.5167 c. M:-23.0000 c. 27: 7 7 3 7 3 N M DE S SD: 12.4279 c. M:-21.1111 c. 29: 7 8 3 7 4 N SD: 7.8577 c. M: 17.5172 c. 32: 8 9 3 8 4 N SD: 8.5936 c. M:-15.5000 c. 33: 8 9 3 9 4 N SD: 8.1993 c. M: 17.7273 c. 34: 8 10 3 9 4 N SD: 7.6992 c. M:-13.2941 c. 37: 9 10 4 9 5 N SD: 6.9064 c. M: 14.1622 c. 39: 9 11 4 10 5 N SD: 7.6380 c. M: 13.0769 c. 40: 10 11 4 10 5 N SD: 6.2129 c. M:-10.0000 c. 42: 10 12 4 11 5 N SD: 4.3033 c. M:-6.5714 c. 50: 12 14 5 13 6 N SD: 2.2361 c. M:-4.0000 c. 58: 14 16 6 15 7 N SD: 1.5447 c. M:-3.1724 c. 87: 21 24 9 22 11 N SD: 1.7740 c. M: 3.7241 c. 108: 26 30 11 28 13 N SD: 1.6873 c. M:-3.5556 c. 121: 29 34 12 31 15 N SD: 1.7642 c. M:-2.7934 c. 124: 30 34 13 32 15 N SD: 1.7427 c. M:-2.8387 c. 129: 31 36 13 33 16 N SD: 1.0574 c. M: 1.6279 c. 137: 33 38 14 35 17 N SD: 0.6253 c. M: 0.9489 c. 195: 47 54 20 50 24 N SD: 0.4577 c. M: 0.7692 c. 293: 71 81 30 75 36 N SD: 0.5215 c. M:-0.7850 c. 332: 80 92 34 85 41 N SD: 0.4526 c. M: 0.8434 c. 372: 90 103 38 95 46 N SD: 0.3513 c. M:-0.5806 c. 380: 92 105 39 97 47 N SD: 0.3270 c. M:-0.5263 c. 430: 104 119 44 110 53 N SD: 0.1909 c. M:-0.3256 c. 567: 137 157 58 145 70 N SD: 0.1223 c. M:-0.2222 c. 575: 139 159 59 147 71 N SD: 0.0972 c. M: 0.1739 c. 625: 151 173 64 160 77 N SD: 0.0894 c. M:-0.1600 c. 770: 186 213 79 197 95 N SD: 0.1066 c. M: 0.1818 c. 1005: 243 278 103 257 124 N SD: 0.0888 c. M:-0.1493 c. 1063: 257 294 109 272 131 N SD: 0.0806 c. M:-0.1223 c. 1142: 276 316 117 292 141 N SD: 0.0785 c. M: 0.1611 c. 1192: 288 330 122 305 147 N SD: 0.0743 c. M:-0.1477 c. 1200: 290 332 123 307 148 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: 21.5225 cents 3 x 4:5 x 6 S SD: 62.1697 cents 4:5 x 6:7:8 S SD: 33.5849 cents 5:6:7:8:9:10 H SD: 18.0202 cents 6:7 x 9:11:12 SD: 12.2341 cents 11:13:16:17:20:22 SD: 6.5614 cents 17:20:24:26:31:34 SD: 6.1014 cents 21:25:30:32:39:42 SD: 5.6494 cents 23:27:33:35:42:46 SD: 4.8248 cents 26:31:37:40:48:52 SD: 4.1233 cents 28:33:40:43:51:56 SD: 3.1633 cents 32:38:46:49:59:64 SD: 2.8372 cents 37:44:53:57:68:74 SD: 2.1153 cents 44:52:63:68:81:88 SD: 1.9579 cents 49:58:70:75:90:98 SD: 1.8922 cents 54:64:77:83:99:108 SD: 1.8367 cents 56:66:80:86:103:112 SD: 1.6171 cents 60:71:86:92:110:120 SD: 1.1916 cents 67:79:96:103:123:134 SD: 0.9698 cents 93:110:133:143:171:186 SD: 0.7316 cents 104:123:149:160:191:208 SD: 0.2220 cents 275:325:394:423:505:550 SD: 0.2157 cents 324:383:464:498:595:648 SD: 0.1946 cents 329:389:471:506:604:658 SD: 0.1813 cents 372:440:533:572:683:744 SD: 0.1791 cents 428:506:613:658:786:856 SD: 0.1109 cents 532:629:762:818:977:1064 SD: 0.0751 cents