Scala analysis: Ethiopia_AI_528_130_1939
AI 528/130 - 1939, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 338.000 cents 338.000000 2: 540.000 cents 540.000000 3: 737.000 cents 737.000000 4: 1005.000 cents 1005.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 195.0000 cents 195.0000 1: 338.0000 cents 338.0000 2: 202.0000 cents 202.0000 3: 197.0000 cents 197.0000 4: 268.0000 cents 268.0000 5: 195.0000 cents 195.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 195.00000 cents 1: 1 197.00000 cents 1: 1 202.00000 cents 1: 1 268.00000 cents 1: 1 338.00000 cents 2: 1 399.00000 cents 2: 1 463.00000 cents 2: 1 465.00000 cents 2: 1 533.00000 cents 2: 1 540.00000 cents 3: 1 660.00000 cents 3: 1 667.00000 cents 3: 1 735.00000 cents 3: 1 737.00000 cents 3: 1 801.00000 cents 4: 1 862.00000 cents 4: 1 932.00000 cents 4: 1 998.00000 cents 4: 1 1003.00000 cents 4: 1 1005.00000 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 : 338.0 540.0 737.0 1005.0 1200.0 338.0 : 202.0 399.0 667.0 862.0 1200.0 540.0 : 197.0 465.0 660.0 998.0 1200.0 737.0 : 268.0 463.0 801.0 1003.0 1200.0 1005.0: 195.0 533.0 735.0 932.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 195.0000 .. 338.0000 cents 143.00000 cents 195.00000 cents 2: 399.0000 .. 540.0000 cents 141.00000 cents 61.00000 cents 3: 660.0000 .. 801.0000 cents 141.00000 cents 120.00000 cents 4: 862.0000 .. 1005.0000 cents 143.00000 cents 61.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 195.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 338.00000 cents Average / Smallest step : 1.230769 Largest / Average step : 1.408333 Largest / Smallest step : 1.733333 Median interval of one step : 202.00000 cents, amount: 1 Least squares average step : 248.16364 cents, oct.: 1240.81818 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 338 540 737 1005 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 769 of 769.000 cents and inv. generated superset size: 188 = 183 more = 3760.000% 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 61.00000 cents Scale diversity : 1.475359 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.526667 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: 55.7100 c. M: 98.0000 c. 6: 2 1 1 1 1 P M ME S SD: 47.8289 c. M:-63.0000 c. 7: 2 1 1 2 1 P M ME S SD: 27.8232 c. M: 51.2857 c. Thai mode 6 11: 3 2 2 2 2 SP M ME S SD: 16.6836 c. M:-26.6364 c. 13: 4 2 2 3 2 P T3 SD: 15.9816 c. M:-31.2308 c. 18: 5 3 3 4 3 SP T3 SD: 4.5753 c. M: 6.6667 c. 42: 12 7 7 9 7 SP T3 SD: 4.2676 c. M:-5.8571 c. 49: 14 8 8 11 8 SP T3 SD: 2.5001 c. M:-4.8571 c. 67: 19 11 11 15 11 SP T3 SD: 2.1771 c. M: 2.6866 c. 85: 24 14 14 19 14 SP T3 SD: 2.3854 c. M: 3.5294 c. 93: 26 16 15 21 15 SP SD: 1.7019 c. M: 2.5161 c. 111: 31 19 18 25 18 SP SD: 1.5583 c. M: 2.8649 c. 117: 33 20 19 26 19 SP SD: 1.7465 c. M:-3.5897 c. 124: 35 21 20 28 20 SP SD: 1.3157 c. M:-1.9355 c. 135: 38 23 22 30 22 SP SD: 1.0864 c. M:-2.2222 c. 142: 40 24 23 32 23 SP SD: 0.9291 c. M: 1.7887 c. 153: 43 26 25 34 25 SP SD: 0.7959 c. M:-1.1765 c. 160: 45 27 26 36 26 SP SD: 0.9220 c. M: 2.0000 c. 171: 48 29 28 38 28 SP SD: 0.8617 c. M: 1.4912 c. 184: 52 31 30 41 30 SP SD: 0.8254 c. M:-1.3043 c. 202: 57 34 33 45 33 SP SD: 0.6237 c. M: 1.0396 c. 220: 62 37 36 49 36 SP SD: 0.6779 c. M: 1.3636 c. 291: 82 49 48 65 47 SP SD: 0.7454 c. M:-1.1856 c. 295: 83 50 48 66 48 SP SD: 0.5948 c. M:-1.0169 c. 309: 87 52 51 69 50 SP SD: 0.5448 c. M:-0.8641 c. 327: 92 55 54 73 53 SP SD: 0.4656 c. M:-0.6147 c. 358: 101 60 59 80 58 SP SD: 0.4339 c. M:-0.5866 c. 376: 106 63 62 84 61 SP SD: 0.3613 c. M: 0.6383 c. 451: 127 76 74 101 73 SP SD: 0.3495 c. M:-0.7650 c. 469: 132 79 77 105 76 SP SD: 0.2802 c. M:-0.5437 c. 480: 135 81 79 107 78 SP SD: 0.3162 c. M: 0.5000 c. 487: 137 82 80 109 79 SP SD: 0.3131 c. M: 0.4230 c. 493: 139 83 81 110 80 SP SD: 0.3457 c. M:-0.5254 c. 500: 141 84 82 112 81 SP SD: 0.3347 c. M:-0.6000 c. 511: 144 86 84 114 83 SP SD: 0.1949 c. M:-0.3777 c. 529: 149 89 87 118 86 SP SD: 0.1247 c. M:-0.2401 c. 671: 189 113 110 150 109 SP SD: 0.0983 c. M: 0.1893 c. 1047: 295 176 172 234 170 SP SD: 0.1163 c. M: 0.1719 c. 1133: 319 191 186 253 184 SP SD: 0.1287 c. M:-0.1589 c. 1151: 324 194 189 257 187 SP SD: 0.1064 c. M: 0.2068 c. 1182: 333 199 194 264 192 SP SD: 0.0697 c. M:-0.1015 c. 1200: 338 202 197 268 195 SP 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: 17.5225 cents 3 x 4 x 5:6 S SD: 42.5761 cents 4:5 x 6:7:8 S SD: 17.4480 cents 8:10:11:12:14:16 S SD: 14.1408 cents 9:11:12:14:16:18 SD: 10.4066 cents 13:16:18:20:23:26 SD: 7.4368 cents 14:17:19:21:25:28 SD: 7.3785 cents 19:23:26:29:34:38 SD: 1.9164 cents 47:57:64:72:84:94 SD: 1.3954 cents 60:73:82:92:107:120 SD: 0.9856 cents 79:96:108:121:141:158 SD: 0.5520 cents 177:215:242:271:316:354 SD: 0.5172 cents 194:236:265:297:347:388 SD: 0.4222 cents 213:259:291:326:381:426 SD: 0.3642 cents 254:309:347:389:454:508 SD: 0.3377 cents 268:326:366:410:479:536 SD: 0.3206 cents 273:332:373:418:488:546 SD: 0.2244 cents 292:355:399:447:522:584 SD: 0.1809 cents 339:412:463:519:606:678 SD: 0.1752 cents 366:445:500:560:654:732 SD: 0.1587 cents 371:451:507:568:663:742 SD: 0.1562 cents 399:485:545:611:713:798 SD: 0.1524 cents 413:502:564:632:738:826 SD: 0.1444 cents 418:508:571:640:747:836 SD: 0.1291 cents 473:575:646:724:845:946 SD: 0.1196 cents 492:598:672:753:879:984 SD: 0.1043 cents