Scala analysis: Ethiopia_Mus_04_1976
Mus 4 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 399.000 cents 399.000000 2: 516.000 cents 516.000000 3: 688.000 cents 688.000000 4: 1084.000 cents 1084.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 116.0000 cents 116.0000 1: 399.0000 cents 399.0000 2: 117.0000 cents 117.0000 3: 172.0000 cents 172.0000 4: 396.0000 cents 396.0000 5: 116.0000 cents 116.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 116.00000 cents 1: 1 117.00000 cents 1: 1 172.00000 cents 1: 1 396.00000 cents 1: 1 399.00000 cents 2: 1 289.00000 cents 2: 1 512.00000 cents 2: 1 515.00000 cents 2: 1 516.00000 cents 2: 1 568.00000 cents 3: 1 632.00000 cents 3: 1 684.00000 cents 3: 1 685.00000 cents 3: 1 688.00000 cents 3: 1 911.00000 cents 4: 1 801.00000 cents 4: 1 804.00000 cents 4: 1 1028.00000 cents 4: 1 1083.00000 cents 4: 1 1084.00000 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 : 399.0 516.0 688.0 1084.0 1200.0 399.0 : 117.0 289.0 685.0 801.0 1200.0 516.0 : 172.0 568.0 684.0 1083.0 1200.0 688.0 : 396.0 512.0 911.0 1028.0 1200.0 1084.0: 116.0 515.0 632.0 804.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.0000 .. 399.0000 cents 283.00000 cents 116.00000 cents 2: 289.0000 .. 568.0000 cents 279.00000 cents -110.00000 cents 3: 632.0000 .. 911.0000 cents 279.00000 cents 64.00000 cents 4: 801.0000 .. 1084.0000 cents 283.00000 cents -110.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 116.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 399.00000 cents Average / Smallest step : 2.068966 Largest / Average step : 1.662500 Largest / Smallest step : 3.439655 Median interval of one step : 172.00000 cents, amount: 1 Least squares average step : 251.47273 cents, oct.: 1257.36364 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 399 516 688 1084 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1111 of 1111.000 cents and inv. generated superset size: 245 = 240 more = 4900.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EBCDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 64.00000 cents Scale diversity : 1.552719 Lumma stability : 0.246667 Lumma impropriety factor : 0.183333 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 : 1.00000 cents Number of recognisable fifths : 1, average 688.0000 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 2 0 1 2 0 N T3 SD: 66.8386 c. M:-116.0000 c. 6: 2 0 1 2 1 N T3 SD: 75.1758 c. M: 116.0000 c. 7: 2 1 1 2 1 P M ME S SD: 35.3058 c. M: 56.1429 c. Thai mode 6 9: 3 1 1 3 1 N M DE S SD: 14.5396 c. M: 21.3333 c. Pelog Pancanada: Sunda 12: 4 1 2 4 1 N T3 SD: 11.4630 c. M: 16.0000 c. Ionian Pentatonic, Raga Gambhiranata, Pelog Degung Modern, Ryukyu: Japan, Vong co: Vietnam, Batti Major: Ethiopia 19: 6 2 3 6 2 N T3 SD: 11.5688 c. M: 20.0526 c. 21: 7 2 3 7 2 N T3 SD: 1.5558 c. M: 2.2857 c. 133: 44 13 19 44 13 N T3 SD: 1.6653 c. M: 2.2857 c. 145: 48 14 21 48 14 N T3 SD: 1.5950 c. M: 2.8966 c. 153: 51 15 22 50 15 N SD: 1.4999 c. M:-2.1961 c. 154: 51 15 22 51 15 N T3 SD: 1.5162 c. M: 2.2857 c. 165: 55 16 24 54 16 N SD: 1.3948 c. M:-2.9091 c. 174: 58 17 25 57 17 N SD: 1.1680 c. M:-1.6552 c. 186: 62 18 27 61 18 N SD: 1.1338 c. M:-2.3226 c. 195: 65 19 28 64 19 N SD: 0.9186 c. M:-1.2308 c. 207: 69 20 30 68 20 N SD: 0.9432 c. M:-1.8551 c. 216: 72 21 31 71 21 N SD: 0.7320 c. M:-1.0000 c. 237: 79 23 34 78 23 N SD: 0.5974 c. M:-1.0000 c. 258: 86 25 37 85 25 N SD: 0.5088 c. M:-1.0000 c. 277: 92 27 40 91 27 N SD: 0.6347 c. M: 0.9675 c. 279: 93 27 40 92 27 N SD: 0.4611 c. M:-1.0000 c. 298: 99 29 43 98 29 N SD: 0.5272 c. M: 0.7785 c. 300: 100 29 43 99 29 N SD: 0.4472 c. M:-1.0000 c. 319: 106 31 46 105 31 N SD: 0.4499 c. M: 0.6395 c. 328: 109 32 47 108 32 N SD: 0.5019 c. M: 1.0732 c. 340: 113 33 49 112 33 N SD: 0.4016 c. M: 0.7059 c. 349: 116 34 50 115 34 N SD: 0.4477 c. M: 0.9054 c. 361: 120 35 52 119 35 N SD: 0.3800 c. M: 0.7645 c. 370: 123 36 53 122 36 N SD: 0.4175 c. M: 0.7568 c. 382: 127 37 55 126 37 N SD: 0.3806 c. M: 0.8168 c. 391: 130 38 56 129 38 N SD: 0.4080 c. M: 0.6240 c. 403: 134 39 58 133 39 N SD: 0.3969 c. M: 0.8635 c. 412: 137 40 59 136 40 N SD: 0.4145 c. M: 0.6214 c. 509: 169 50 73 168 49 N SD: 0.4044 c. M: 0.5717 c. 518: 172 51 74 171 50 N SD: 0.3712 c. M:-0.6023 c. 530: 176 52 76 175 51 N SD: 0.3691 c. M:-0.5283 c. 539: 179 53 77 178 52 N SD: 0.3326 c. M:-0.5121 c. 560: 186 55 80 185 54 N SD: 0.3064 c. M: 0.4286 c. 581: 193 57 83 192 56 N SD: 0.2925 c. M: 0.3769 c. 598: 199 58 86 197 58 N SD: 0.2918 c. M: 0.3880 c. 602: 200 59 86 199 58 N SD: 0.2898 c. M:-0.3854 c. 619: 206 60 89 204 60 N SD: 0.2745 c. M:-0.3538 c. 640: 213 62 92 211 62 N SD: 0.2681 c. M:-0.3750 c. 746: 248 73 107 246 72 N SD: 0.2780 c. M:-0.4718 c. 755: 251 74 108 249 73 N SD: 0.2678 c. M:-0.5563 c. 767: 255 75 110 253 74 N SD: 0.2440 c. M:-0.3963 c. 776: 258 76 111 256 75 N SD: 0.2311 c. M:-0.4948 c. 788: 262 77 113 260 76 N SD: 0.2167 c. M:-0.3249 c. 797: 265 78 114 263 77 N SD: 0.2007 c. M:-0.4366 c. 809: 269 79 116 267 78 N SD: 0.1972 c. M:-0.3016 c. 818: 272 80 117 270 79 N SD: 0.1777 c. M:-0.3814 c. 830: 276 81 119 274 80 N SD: 0.1861 c. M:-0.3373 c. 839: 279 82 120 277 81 N SD: 0.1635 c. M:-0.3290 c. 860: 286 84 123 284 83 N SD: 0.1588 c. M:-0.2791 c. 881: 293 86 126 291 85 N SD: 0.1629 c. M:-0.2316 c. 900: 299 88 129 297 87 N SD: 0.1491 c. M: 0.3333 c. 921: 306 90 132 304 89 N SD: 0.1397 c. M: 0.3029 c. 942: 313 92 135 311 91 N SD: 0.1393 c. M: 0.2739 c. 984: 327 96 141 325 95 N SD: 0.1607 c. M: 0.2195 c. 1095: 364 107 157 361 106 N SD: 0.1492 c. M:-0.2192 c. 1116: 371 109 160 368 108 N SD: 0.1171 c. M:-0.1720 c. 1137: 378 111 163 375 110 N SD: 0.0862 c. M:-0.1266 c. 1158: 385 113 166 382 112 N SD: 0.0564 c. M:-0.0829 c. 1179: 392 115 169 389 114 N SD: 0.0277 c. M:-0.0407 c. 1200: 399 117 172 396 116 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: 8.9775 cents 4:5 x 6:7:8 S SD: 29.1770 cents 5:6:7 x 9:10 SD: 31.4066 cents 6 x 8:9:11:12 SD: 10.3587 cents 7:9 x 10:13:14 SD: 20.0395 cents 8:10:11:12:15:16 S SD: 8.0530 cents 10:13 x 15:19:20 SD: 15.7780 cents 11:14:15:16:21:22 SD: 11.9750 cents 12:15:16:18:22:24 SD: 8.6667 cents 14:18:19:21:26:28 SD: 8.5065 cents 15:19:20:22:28:30 SD: 6.5168 cents 20:25:27:30:37:40 SD: 5.3968 cents 23:29:31:34:43:46 SD: 2.3201 cents 31:39:42:46:58:62 SD: 2.1940 cents 43:54:58:64:80:86 SD: 2.1056 cents 54:68:73:80:101:108 SD: 1.9197 cents 55:69:74:82:103:110 SD: 1.5836 cents 61:77:82:91:114:122 SD: 1.4796 cents 69:87:93:103:129:138 SD: 1.2247 cents 78:98:105:116:146:156 SD: 0.8747 cents 92:116:124:137:172:184 SD: 0.5767 cents 115:145:155:171:215:230 SD: 0.5590 cents 147:185:198:219:275:294 SD: 0.4787 cents 162:204:218:241:303:324 SD: 0.4064 cents 170:214:229:253:318:340 SD: 0.1342 cents 363:457:489:540:679:726 SD: 0.1136 cents 432:544:582:643:808:864 SD: 0.1105 cents 455:573:613:677:851:910 SD: 0.0432 cents