Scala analysis: Ethiopia_Mus_04_Yammatbal
Mus 4 Yammatbal, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 384.000 cents 384.000000 2: 571.000 cents 571.000000 3: 733.000 cents 733.000000 4: 1062.000 cents 1062.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 138.0000 cents 138.0000 1: 384.0000 cents 384.0000 2: 187.0000 cents 187.0000 3: 162.0000 cents 162.0000 4: 329.0000 cents 329.0000 5: 138.0000 cents 138.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.00000 cents 1: 1 162.00000 cents 1: 1 187.00000 cents 1: 1 329.00000 cents 1: 1 384.00000 cents 2: 1 349.00000 cents 2: 1 467.00000 cents 2: 1 491.00000 cents 2: 1 522.00000 cents 2: 1 571.00000 cents 3: 1 629.00000 cents 3: 1 678.00000 cents 3: 1 709.00000 cents 3: 1 733.00000 cents 3: 1 851.00000 cents 4: 1 816.00000 cents 4: 1 871.00000 cents 4: 1 1013.00000 cents 4: 1 1038.00000 cents 4: 1 1062.00000 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 : 384.0 571.0 733.0 1062.0 1200.0 384.0 : 187.0 349.0 678.0 816.0 1200.0 571.0 : 162.0 491.0 629.0 1013.0 1200.0 733.0 : 329.0 467.0 851.0 1038.0 1200.0 1062.0: 138.0 522.0 709.0 871.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.0000 .. 384.0000 cents 246.00000 cents 138.00000 cents 2: 349.0000 .. 571.0000 cents 222.00000 cents -35.00000 cents 3: 629.0000 .. 851.0000 cents 222.00000 cents 58.00000 cents 4: 816.0000 .. 1062.0000 cents 246.00000 cents -35.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 138.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 384.00000 cents Average / Smallest step : 1.739130 Largest / Average step : 1.600000 Largest / Smallest step : 2.782609 Median interval of one step : 187.00000 cents, amount: 1 Least squares average step : 254.05455 cents, oct.: 1270.27273 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 384 571 733 1062 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1117 of 1117.000 cents and inv. generated superset size: 187 = 182 more = 3740.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ECBDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 20.00000 cents Scale diversity : 1.603207 Lumma stability : 0.278333 Lumma impropriety factor : 0.058333 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 : 20.00000 cents Number of recognisable fifths : 1, average 709.0000 cents 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: 88.9831 c. M: 144.0000 c. 6: 2 1 1 1 1 P M ME S SD: 43.4281 c. M:-67.0000 c. 7: 2 1 1 2 1 P M ME S SD: 40.6513 c. M: 56.7143 c. Thai mode 6 8: 3 1 1 2 1 N T3 SD: 33.5559 c. M:-66.0000 c. 10: 3 2 1 3 1 P T3 SD: 19.5448 c. M:-29.0000 c. 13: 4 2 2 3 2 P T3 SD: 23.3032 c. M: 46.6154 c. 15: 5 2 2 4 2 N T3 SD: 14.3527 c. M: 22.0000 c. 18: 6 3 2 5 2 N SD: 14.9592 c. M:-29.0000 c. 19: 6 3 3 5 2 P SD: 12.5575 c. M:-24.8947 c. 21: 7 3 3 6 2 N SD: 13.5330 c. M:-23.7143 c. 23: 7 4 3 6 3 P SD: 11.9240 c. M: 18.7826 c. 25: 8 4 3 7 3 N SD: 6.7823 c. M: 13.0000 c. 34: 11 5 5 9 4 N SD: 5.1865 c. M:-8.1765 c. 44: 14 7 6 12 5 N SD: 2.0850 c. M:-3.3636 c. 69: 22 11 9 19 8 N SD: 1.9121 c. M:-2.9130 c. 97: 31 15 13 27 11 N SD: 1.8584 c. M: 3.1031 c. 103: 33 16 14 28 12 N SD: 0.9440 c. M: 1.8058 c. 147: 47 23 20 40 17 N SD: 0.8673 c. M:-1.6939 c. 172: 55 27 23 47 20 N SD: 0.8745 c. M: 1.5349 c. 193: 62 30 26 53 22 N SD: 1.0197 c. M:-1.4922 c. 200: 64 31 27 55 23 N SD: 0.6325 c. M: 1.0000 c. 244: 78 38 33 67 28 N SD: 0.3303 c. M: 0.5082 c. 347: 111 54 47 95 40 N SD: 0.2461 c. M: 0.3948 c. 540: 173 84 73 148 62 N SD: 0.2722 c. M:-0.4444 c. 565: 181 88 76 155 65 N SD: 0.2670 c. M:-0.4248 c. 591: 189 92 80 162 68 N SD: 0.2278 c. M: 0.4416 c. 609: 195 95 82 167 70 N SD: 0.2211 c. M:-0.4286 c. 635: 203 99 86 174 73 N SD: 0.2375 c. M: 0.3780 c. 660: 211 103 89 181 76 N SD: 0.2227 c. M: 0.3636 c. 704: 225 110 95 193 81 N SD: 0.2168 c. M: 0.4773 c. 712: 228 111 96 195 82 N SD: 0.2264 c. M:-0.3483 c. 738: 236 115 100 202 85 N SD: 0.2431 c. M:-0.3333 c. 740: 237 115 100 203 85 N SD: 0.1833 c. M:-0.3243 c. 784: 251 122 106 215 90 N SD: 0.1594 c. M:-0.2449 c. 809: 259 126 109 222 93 N SD: 0.1410 c. M: 0.2435 c. 853: 273 133 115 234 98 N SD: 0.1001 c. M:-0.1606 c. 956: 306 149 129 262 110 N SD: 0.0843 c. M:-0.1297 c. 1156: 370 180 156 317 133 N SD: 0.0794 c. M: 0.1280 c. 1200: 384 187 162 329 138 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: 15.5225 cents 3 x 4:5 x 6 S SD: 56.0078 cents 4:5 x 6:7:8 S SD: 24.5593 cents 5:6:7:8:9:10 H SD: 23.0542 cents 6 x 8:9:11:12 SD: 20.0716 cents 7:9:10:11:13:14 SD: 17.1047 cents 8:10:11:12:15:16 S SD: 9.0478 cents 13:16:18:20:24:26 SD: 5.7391 cents 20:25:28:31:37:40 SD: 5.6875 cents 21:26:29:32:39:42 SD: 4.2919 cents 25:31:35:38:46:50 SD: 3.8632 cents 28:35:39:43:52:56 SD: 2.8317 cents 36:45:50:55:66:72 S SD: 2.6137 cents 40:50:56:61:74:80 SD: 2.4736 cents 44:55:61:67:81:88 SD: 1.8996 cents 53:66:74:81:98:106 SD: 1.6855 cents 57:71:79:87:105:114 SD: 1.6662 cents 61:76:85:93:113:122 SD: 1.5441 cents 64:80:89:98:118:128 SD: 1.1833 cents 72:90:100:110:133:144 SD: 0.6714 cents 97:121:135:148:179:194 SD: 0.5431 cents 125:156:174:191:231:250 SD: 0.4485 cents 169:211:235:258:312:338 SD: 0.1780 cents 294:367:409:449:543:588 SD: 0.1146 cents 366:457:509:559:676:732 SD: 0.1031 cents 463:578:644:707:855:926 SD: 0.0660 cents