Scala analysis: Ethiopia_Mus_10_1976
Mus 10 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 367.000 cents 367.000000 2: 494.000 cents 494.000000 3: 688.000 cents 688.000000 4: 1075.000 cents 1075.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 125.0000 cents 125.0000 1: 367.0000 cents 367.0000 2: 127.0000 cents 127.0000 3: 194.0000 cents 194.0000 4: 387.0000 cents 387.0000 5: 125.0000 cents 125.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 125.00000 cents 1: 1 127.00000 cents 1: 1 194.00000 cents 1: 1 367.00000 cents 1: 1 387.00000 cents 2: 1 321.00000 cents 2: 1 492.00000 cents 2: 1 494.00000 cents 2: 1 512.00000 cents 2: 1 581.00000 cents 3: 1 619.00000 cents 3: 1 688.00000 cents 3: 1 706.00000 cents 3: 1 708.00000 cents 3: 1 879.00000 cents 4: 1 813.00000 cents 4: 1 833.00000 cents 4: 1 1006.00000 cents 4: 1 1073.00000 cents 4: 1 1075.00000 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 : 367.0 494.0 688.0 1075.0 1200.0 367.0 : 127.0 321.0 708.0 833.0 1200.0 494.0 : 194.0 581.0 706.0 1073.0 1200.0 688.0 : 387.0 512.0 879.0 1006.0 1200.0 1075.0: 125.0 492.0 619.0 813.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 125.0000 .. 387.0000 cents 262.00000 cents 125.00000 cents 2: 321.0000 .. 581.0000 cents 260.00000 cents -66.00000 cents 3: 619.0000 .. 879.0000 cents 260.00000 cents 38.00000 cents 4: 813.0000 .. 1075.0000 cents 262.00000 cents -66.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 125.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 387.00000 cents Average / Smallest step : 1.920000 Largest / Average step : 1.612500 Largest / Smallest step : 3.096000 Median interval of one step : 194.00000 cents, amount: 1 Least squares average step : 249.43636 cents, oct.: 1247.18182 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 367 494 688 1075 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 659 of 659.000 cents and inv. generated superset size: 220 = 215 more = 4400.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DBCEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 38.00000 cents Scale diversity : 1.591292 Lumma stability : 0.240000 Lumma impropriety factor : 0.110000 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 : 3, average 700.6667 cents Number of appreciable fifths : 2, average 707.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 2 0 1 1 1 N T3 SD: 73.7753 c. M: 115.0000 c. 6: 2 0 1 2 1 N T3 SD: 68.2554 c. M: 94.0000 c. 7: 2 1 1 2 1 P M ME S SD: 25.1206 c. M: 46.4286 c. Thai mode 6 9: 3 1 1 3 1 N M DE S SD: 25.1423 c. M:-39.3333 c. Pelog Pancanada: Sunda 10: 3 1 2 3 1 P T3 SD: 16.0873 c. M:-32.0000 c. Pelog Degung: Sunda 16: 5 2 2 5 2 N M DE S SD: 19.0735 c. M:-31.0000 c. Mavila-5, Patet dang 17: 5 2 3 5 2 P T3 SD: 12.4830 c. M:-17.8824 c. 19: 6 2 3 6 2 N T3 SD: 7.9588 c. M:-11.9474 c. 29: 9 3 5 9 3 N T3 SD: 7.4191 c. M:-15.4483 c. 36: 11 4 6 11 4 N T3 SD: 7.0648 c. M:-12.0000 c. 37: 11 4 6 12 4 N SD: 6.8062 c. M: 10.2432 c. 39: 12 4 6 13 4 N SD: 5.1814 c. M: 11.0769 c. 46: 14 5 7 15 5 N SD: 5.1048 c. M: 9.7391 c. 47: 14 5 8 15 5 N SD: 5.9881 c. M: 9.5532 c. 49: 15 5 8 16 5 N SD: 2.4301 c. M: 4.2041 c. 56: 17 6 9 18 6 N SD: 2.3088 c. M: 3.5714 c. 66: 20 7 11 21 7 N SD: 2.6266 c. M: 3.3636 c. 68: 21 7 11 22 7 N SD: 1.7382 c. M:-3.5882 c. 75: 23 8 12 24 8 N SD: 1.6733 c. M: 3.0000 c. 105: 32 11 17 34 11 N SD: 1.6733 c. M: 2.5714 c. 117: 36 12 19 38 12 N SD: 1.5628 c. M:-2.2308 c. 124: 38 13 20 40 13 N SD: 0.6664 c. M: 0.9032 c. 258: 79 27 42 83 27 N SD: 0.5702 c. M: 0.9767 c. 314: 96 33 51 101 33 N SD: 0.6753 c. M: 1.1146 c. 326: 100 34 53 105 34 N SD: 0.6177 c. M:-1.0982 c. 328: 100 35 53 106 34 N SD: 0.5888 c. M: 1.1463 c. 337: 103 36 54 109 35 N SD: 0.5801 c. M:-0.9555 c. 347: 106 37 56 112 36 N SD: 0.3867 c. M:-0.5245 c. 396: 121 42 64 128 41 N SD: 0.3751 c. M:-0.7576 c. 403: 123 43 65 130 42 N SD: 0.3668 c. M: 0.7469 c. 415: 127 44 67 134 43 N SD: 0.3843 c. M:-0.6627 c. 422: 129 45 68 136 44 N SD: 0.3706 c. M:-0.7867 c. 452: 138 48 73 146 47 N SD: 0.3559 c. M: 0.6283 c. 471: 144 50 76 152 49 N SD: 0.1562 c. M:-0.2675 c. 595: 182 63 96 192 62 N SD: 0.1352 c. M: 0.2689 c. 605: 185 64 98 195 63 N SD: 0.1330 c. M:-0.2645 c. 729: 223 77 118 235 76 N SD: 0.1009 c. M: 0.1728 c. 1076: 329 114 174 347 112 N SD: 0.0768 c. M:-0.1041 c. 1200: 367 127 194 387 125 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: 6.9775 cents 3 x 4 x x 6 S SD: 2.0225 cents 4:5 x 6:7:8 S SD: 27.2037 cents 5:6:7 x 9:10 SD: 29.3335 cents 6:7:8:9:11:12 SD: 20.8751 cents 7 x 9:10:13:14 SD: 22.9863 cents 8:10:11:12:15:16 S SD: 12.6951 cents 9:11:12:13:17:18 SD: 12.1963 cents 12:15:16:18:22:24 SD: 7.0467 cents 21:26:28:31:39:42 SD: 2.9914 cents 37:46:49:55:69:74 SD: 2.6519 cents 43:53:57:64:80:86 SD: 1.5749 cents 51:63:68:76:95:102 SD: 1.0618 cents 72:89:96:107:134:144 SD: 0.9196 cents 94:116:125:140:175:188 SD: 0.7061 cents 115:142:153:171:214:230 SD: 0.4491 cents 178:220:237:265:331:356 SD: 0.4314 cents 203:251:270:302:378:406 SD: 0.2836 cents 258:319:343:384:480:516 SD: 0.2402 cents 279:345:371:415:519:558 SD: 0.2252 cents 309:382:411:460:575:618 SD: 0.1750 cents 330:408:439:491:614:660 SD: 0.0720 cents