Scala analysis: Ethiopia_Mus_05_1976
Mus 5 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 387.000 cents 387.000000 2: 578.000 cents 578.000000 3: 740.000 cents 740.000000 4: 1036.000 cents 1036.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 164.0000 cents 164.0000 1: 387.0000 cents 387.0000 2: 191.0000 cents 191.0000 3: 162.0000 cents 162.0000 4: 296.0000 cents 296.0000 5: 164.0000 cents 164.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 162.00000 cents 1: 1 164.00000 cents 1: 1 191.00000 cents 1: 1 296.00000 cents 1: 1 387.00000 cents 2: 1 353.00000 cents 2: 1 458.00000 cents 2: 1 460.00000 cents 2: 1 551.00000 cents 2: 1 578.00000 cents 3: 1 622.00000 cents 3: 1 649.00000 cents 3: 1 740.00000 cents 3: 1 742.00000 cents 3: 1 847.00000 cents 4: 1 813.00000 cents 4: 1 904.00000 cents 4: 1 1009.00000 cents 4: 1 1036.00000 cents 4: 1 1038.00000 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 : 387.0 578.0 740.0 1036.0 1200.0 387.0 : 191.0 353.0 649.0 813.0 1200.0 578.0 : 162.0 458.0 622.0 1009.0 1200.0 740.0 : 296.0 460.0 847.0 1038.0 1200.0 1036.0: 164.0 551.0 742.0 904.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.0000 .. 387.0000 cents 225.00000 cents 162.00000 cents 2: 353.0000 .. 578.0000 cents 225.00000 cents -34.00000 cents 3: 622.0000 .. 847.0000 cents 225.00000 cents 44.00000 cents 4: 813.0000 .. 1038.0000 cents 225.00000 cents -34.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 162.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 387.00000 cents Average / Smallest step : 1.481481 Largest / Average step : 1.612500 Largest / Smallest step : 2.388889 Median interval of one step : 191.00000 cents, amount: 1 Least squares average step : 252.85455 cents, oct.: 1264.27273 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 387 578 740 1036 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 863 of 863.000 cents and inv. generated superset size: 195 = 190 more = 3900.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ECADB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 34.00000 cents Scale diversity : 1.571160 Lumma stability : 0.306667 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 : 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: 86.4743 c. M: 147.0000 c. 6: 2 1 1 1 1 P M ME S SD: 33.3137 c. M:-60.0000 c. 8: 3 1 1 2 1 N T3 SD: 30.8188 c. M:-63.0000 c. 10: 3 2 1 3 1 P T3 SD: 26.6421 c. M:-44.0000 c. 12: 4 2 1 3 2 N SD: 26.6421 c. M: 40.0000 c. 13: 4 2 2 3 2 P T3 SD: 16.2881 c. M: 24.1538 c. 15: 5 2 2 4 2 N T3 SD: 13.4833 c. M: 20.0000 c. 21: 7 3 3 5 3 N T3 SD: 7.4233 c. M:-13.0000 c. 29: 9 5 4 7 4 P SD: 6.9294 c. M: 14.5862 c. 31: 10 5 4 8 4 N SD: 4.7187 c. M:-9.1613 c. 37: 12 6 5 9 5 N SD: 3.9237 c. M:-5.9459 c. 44: 14 7 6 11 6 N SD: 3.6880 c. M: 5.2727 c. 50: 16 8 7 12 7 N SD: 3.0000 c. M:-4.0000 c. 52: 17 8 7 13 7 N SD: 2.7480 c. M:-5.3077 c. 65: 21 10 9 16 9 N SD: 2.8244 c. M: 5.6923 c. 68: 22 11 9 17 9 N SD: 3.1194 c. M:-5.1765 c. 75: 24 12 10 19 10 N SD: 3.0000 c. M:-4.0000 c. 81: 26 13 11 20 11 N SD: 0.9967 c. M: 1.8148 c. 102: 33 16 14 25 14 N SD: 1.0721 c. M: 1.5294 c. 133: 43 21 18 33 18 N SD: 0.8734 c. M:-1.5940 c. 183: 59 29 25 45 25 N SD: 0.6147 c. M:-0.9836 c. 264: 85 42 36 65 36 N SD: 0.6152 c. M:-0.9091 c. 307: 99 49 41 76 42 N SD: 0.6022 c. M: 1.2378 c. 313: 101 50 42 77 43 N SD: 0.5693 c. M:-0.9137 c. 316: 102 50 43 78 43 N SD: 0.5462 c. M: 0.7848 c. 344: 111 55 46 85 47 N SD: 0.5304 c. M:-1.0698 c. 357: 115 57 48 88 49 N SD: 0.4413 c. M: 0.7059 c. 388: 125 62 52 96 53 N SD: 0.4408 c. M: 0.8247 c. 394: 127 63 53 97 54 N SD: 0.3822 c. M:-0.6802 c. 409: 132 65 55 101 56 N SD: 0.3400 c. M: 0.6357 c. 438: 141 70 59 108 60 N SD: 0.3787 c. M: 0.6986 c. 446: 144 71 60 110 61 N SD: 0.2989 c. M:-0.4753 c. 459: 148 73 62 113 63 N SD: 0.3376 c. M: 0.7059 c. 490: 158 78 66 121 67 N SD: 0.1890 c. M: 0.4082 c. 527: 170 84 71 130 72 N SD: 0.1727 c. M:-0.3681 c. 571: 184 91 77 141 78 N SD: 0.1825 c. M: 0.3100 c. 592: 191 94 80 146 81 N SD: 0.1837 c. M: 0.2973 c. 608: 196 97 82 150 83 N SD: 0.1789 c. M:-0.2895 c. 629: 203 100 85 155 86 N SD: 0.1657 c. M:-0.2814 c. 673: 217 107 91 166 92 N SD: 0.1352 c. M: 0.2883 c. 710: 229 113 96 175 97 N SD: 0.1305 c. M:-0.2817 c. 754: 243 120 102 186 103 N SD: 0.1768 c. M: 0.2812 c. 791: 255 126 107 195 108 N SD: 0.1758 c. M:-0.3287 c. 884: 285 141 119 218 121 N SD: 0.1952 c. M:-0.2805 c. 936: 302 149 126 231 128 N SD: 0.1735 c. M: 0.2564 c. 986: 318 157 133 243 135 N SD: 0.1420 c. M: 0.3002 c. 1017: 328 162 137 251 139 N SD: 0.1106 c. M: 0.1770 c. 1067: 344 170 144 263 146 N SD: 0.1089 c. M: 0.1987 c. 1098: 354 175 148 271 150 N SD: 0.0996 c. M:-0.1421 c. 1119: 361 178 151 276 153 N SD: 0.0721 c. M:-0.1314 c. 1200: 387 191 162 296 164 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: 19.0225 cents 3 x 4:5 x 6 S SD: 55.0073 cents 4:5 x 6:7:8 S SD: 19.3007 cents 6 x 8:9:11:12 SD: 22.3869 cents 7:9:10:11:13:14 SD: 16.6752 cents 8:10:11:12:15:16 S SD: 13.9883 cents 11:14:15:17:20:22 SD: 10.5882 cents 12:15:17:18:22:24 SD: 9.4900 cents 13:16:18:20:24:26 SD: 8.1277 cents 15:19:21:23:27:30 SD: 5.8442 cents 17:21:24:26:31:34 SD: 5.8158 cents 20:25:28:31:36:40 SD: 5.3293 cents 23:29:32:35:42:46 SD: 4.2839 cents 28:35:39:43:51:56 SD: 1.1122 cents 60:75:84:92:109:120 SD: 1.0358 cents 88:110:123:135:160:176 SD: 0.4520 cents 116:145:162:178:211:232 SD: 0.3029 cents 227:284:317:348:413:454 SD: 0.1845 cents 255:319:356:391:464:510 SD: 0.1665 cents 315:394:440:483:573:630 SD: 0.1472 cents 343:429:479:526:624:686 SD: 0.0866 cents