Scala analysis: Ethiopia_Mus_02_1976
Mus 2 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 343.000 cents 343.000000 2: 583.000 cents 583.000000 3: 691.000 cents 691.000000 4: 1098.000 cents 1098.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 102.0000 cents 102.0000 1: 343.0000 cents 343.0000 2: 240.0000 cents 240.0000 3: 108.0000 cents 108.0000 4: 407.0000 cents 407.0000 5: 102.0000 cents 102.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.00000 cents 1: 1 108.00000 cents 1: 1 240.00000 cents 1: 1 343.00000 cents 1: 1 407.00000 cents 2: 1 348.00000 cents 2: 1 445.00000 cents 2: 1 509.00000 cents 2: 1 515.00000 cents 2: 1 583.00000 cents 3: 1 617.00000 cents 3: 1 685.00000 cents 3: 1 691.00000 cents 3: 1 755.00000 cents 3: 1 852.00000 cents 4: 1 793.00000 cents 4: 1 857.00000 cents 4: 1 960.00000 cents 4: 1 1092.00000 cents 4: 1 1098.00000 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 : 343.0 583.0 691.0 1098.0 1200.0 343.0 : 240.0 348.0 755.0 857.0 1200.0 583.0 : 108.0 515.0 617.0 960.0 1200.0 691.0 : 407.0 509.0 852.0 1092.0 1200.0 1098.0: 102.0 445.0 685.0 793.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.0000 .. 407.0000 cents 305.00000 cents 102.00000 cents 2: 348.0000 .. 583.0000 cents 235.00000 cents -59.00000 cents 3: 617.0000 .. 852.0000 cents 235.00000 cents 34.00000 cents 4: 793.0000 .. 1098.0000 cents 305.00000 cents -59.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 102.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 407.00000 cents Average / Smallest step : 2.352941 Largest / Average step : 1.695833 Largest / Smallest step : 3.990196 Median interval of one step : 240.00000 cents, amount: 1 Least squares average step : 254.07273 cents, oct.: 1270.36364 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 343 583 691 1098 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 691 of 691.000 cents and inv. generated superset size: 306 = 301 more = 6120.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DCBEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.623893 Lumma stability : 0.198333 Lumma impropriety factor : 0.098333 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 : 5.00000 cents Number of recognisable fifths : 1, average 691.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 2 0 N T3 SD: 80.5767 c. M: 103.0000 c. 6: 2 1 0 2 1 N T3 SD: 65.4569 c. M: 98.0000 c. 7: 2 1 1 2 1 P M ME S SD: 43.7491 c. M: 69.4286 c. Thai mode 6 8: 2 2 1 2 1 P M ME S SD: 39.8070 c. M:-59.0000 c. Father-5 9: 2 2 1 3 1 P D3 S SD: 44.4240 c. M: 76.3333 c. 10: 3 2 1 3 1 P T3 SD: 18.6708 c. M:-29.0000 c. 14: 4 3 1 5 1 N SD: 10.7906 c. M:-17.0000 c. 21: 6 4 2 7 2 N SD: 7.9094 c. M: 12.2857 c. 31: 9 6 3 10 3 N SD: 7.3149 c. M: 14.1290 c. 35: 10 7 3 12 3 N SD: 2.3964 c. M: 5.2857 c. 45: 13 9 4 15 4 N SD: 3.2897 c. M: 4.6667 c. 80: 23 16 7 27 7 N SD: 1.8974 c. M: 3.0000 c. 109: 31 22 10 37 9 N SD: 1.9151 c. M:-2.9174 c. 115: 33 23 10 39 10 N SD: 1.7003 c. M: 2.3478 c. 130: 37 26 12 44 11 N SD: 1.1131 c. M: 1.4615 c. 144: 41 29 13 49 12 N SD: 1.1255 c. M:-2.0000 c. 154: 44 31 14 52 13 N SD: 1.3265 c. M:-2.5065 c. 165: 47 33 15 56 14 N SD: 0.7530 c. M: 1.1818 c. 189: 54 38 17 64 16 N SD: 0.7200 c. M:-1.1270 c. 200: 57 40 18 68 17 N SD: 0.7746 c. M: 1.0000 c. 210: 60 42 19 71 18 N SD: 0.4380 c. M: 0.8571 c. 224: 64 45 20 76 19 N SD: 0.4321 c. M:-0.9286 c. 245: 70 49 22 83 21 N SD: 0.4303 c. M: 0.8571 c. 259: 74 52 23 88 22 N SD: 0.4616 c. M:-0.7838 c. 340: 97 68 31 115 29 N SD: 0.5562 c. M:-0.7647 c. 342: 98 68 31 116 29 N SD: 0.4790 c. M:-0.8596 c. 354: 101 71 32 120 30 N SD: 0.3912 c. M: 0.6271 c. 375: 107 75 34 127 32 N SD: 0.4290 c. M: 0.6000 c. 389: 111 78 35 132 33 N SD: 0.2764 c. M: 0.5835 c. 410: 117 82 37 139 35 N SD: 0.4229 c. M: 0.5610 c. 424: 121 85 38 144 36 N SD: 0.3165 c. M: 0.5472 c. 434: 124 87 39 147 37 N SD: 0.2611 c. M:-0.4101 c. 469: 134 94 42 159 40 N SD: 0.2466 c. M:-0.3689 c. 566: 162 113 51 192 48 N SD: 0.2440 c. M:-0.4629 c. 599: 171 120 54 203 51 N SD: 0.2177 c. M: 0.4290 c. 601: 172 120 54 204 51 N SD: 0.2170 c. M:-0.4276 c. 634: 181 127 57 215 54 N SD: 0.2179 c. M: 0.4132 c. 731: 209 146 66 248 62 N SD: 0.1582 c. M: 0.2367 c. 766: 219 153 69 260 65 N SD: 0.1479 c. M: 0.2324 c. 811: 232 162 73 275 69 N SD: 0.1326 c. M:-0.2799 c. 941: 269 188 85 319 80 N SD: 0.1270 c. M: 0.2157 c. 955: 273 191 86 324 81 N SD: 0.1104 c. M:-0.2199 c. 976: 279 195 88 331 83 N SD: 0.0992 c. M: 0.2131 c. 990: 283 198 89 336 84 N SD: 0.0929 c. M:-0.1818 c. 1070: 306 214 96 363 91 N SD: 0.1352 c. M:-0.1776 c. 1155: 330 231 104 392 98 N SD: 0.1282 c. M:-0.1818 c. 1165: 333 233 105 395 99 N SD: 0.0720 c. M:-0.1588 c. 1200: 343 240 108 407 102 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: 5.4775 cents 3 x 4 x x 6 S SD: 42.4775 cents 4:5 x 6 x 8 S SD: 14.8925 cents 5:6:7 x 9:10 SD: 21.2331 cents 7:9:10 x 13:14 SD: 25.4466 cents 8:10:11:12:15:16 S SD: 11.1257 cents 9:11:13 x 17:18 SD: 13.4712 cents 10:12:14:15:19:20 SD: 6.4590 cents 18:22:25:27:34:36 SD: 3.7561 cents 27:33:38:40:51:54 SD: 2.9314 cents 35:43:49:52:66:70 SD: 2.9033 cents 37:45:52:55:70:74 SD: 2.1072 cents 45:55:63:67:85:90 SD: 1.1422 cents 55:67:77:82:104:110 SD: 1.0227 cents 87:106:122:130:164:174 SD: 1.0076 cents 100:122:140:149:189:200 SD: 0.8654 cents 110:134:154:164:207:220 SD: 0.7500 cents 132:161:185:197:249:264 SD: 0.5631 cents 147:179:206:219:277:294 SD: 0.5487 cents 155:189:217:231:292:310 SD: 0.3377 cents 165:201:231:246:311:330 SD: 0.3235 cents 192:234:269:286:362:384 SD: 0.2938 cents 210:256:294:313:396:420 SD: 0.1039 cents 534:651:748:796:1007:1068 SD: 0.0977 cents