Scala analysis: Ethiopia_AI_512_192_1939
AI 512/192 - 1939, 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: 528.000 cents 528.000000 3: 720.000 cents 720.000000 4: 1051.000 cents 1051.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 149.0000 cents 149.0000 1: 343.0000 cents 343.0000 2: 185.0000 cents 185.0000 3: 192.0000 cents 192.0000 4: 331.0000 cents 331.0000 5: 149.0000 cents 149.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 149.00000 cents 1: 1 185.00000 cents 1: 1 192.00000 cents 1: 1 331.00000 cents 1: 1 343.00000 cents 2: 1 377.00000 cents 2: 1 480.00000 cents 2: 1 492.00000 cents 2: 1 523.00000 cents 2: 1 528.00000 cents 3: 1 672.00000 cents 3: 1 677.00000 cents 3: 1 708.00000 cents 3: 1 720.00000 cents 3: 1 823.00000 cents 4: 1 857.00000 cents 4: 1 869.00000 cents 4: 1 1008.00000 cents 4: 1 1015.00000 cents 4: 1 1051.00000 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 : 343.0 528.0 720.0 1051.0 1200.0 343.0 : 185.0 377.0 708.0 857.0 1200.0 528.0 : 192.0 523.0 672.0 1015.0 1200.0 720.0 : 331.0 480.0 823.0 1008.0 1200.0 1051.0: 149.0 492.0 677.0 869.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 149.0000 .. 343.0000 cents 194.00000 cents 149.00000 cents 2: 377.0000 .. 528.0000 cents 151.00000 cents 34.00000 cents 3: 672.0000 .. 823.0000 cents 151.00000 cents 144.00000 cents 4: 857.0000 .. 1051.0000 cents 194.00000 cents 34.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 149.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 343.00000 cents Average / Smallest step : 1.610738 Largest / Average step : 1.429167 Largest / Smallest step : 2.302013 Median interval of one step : 192.00000 cents, amount: 1 Least squares average step : 250.23636 cents, oct.: 1251.18182 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 343 528 720 1051 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 857 of 857.000 cents and inv. generated superset size: 241 = 236 more = 4820.000% 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 34.00000 cents Scale diversity : 1.482166 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.425000 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 : 2, average 714.0000 cents Number of appreciable fifths : 1, average 708.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 182.0000 cents: 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 65.1061 c. M: 103.0000 c. 7: 2 1 1 2 1 P M ME S SD: 19.3218 c. M: 34.2857 c. Thai mode 6 15: 4 3 2 4 2 SP T3 SD: 18.2975 c. M:-32.0000 c. 16: 5 2 3 4 2 P SD: 19.6672 c. M:-32.0000 c. 17: 5 2 3 5 2 P T3 SD: 17.3629 c. M: 33.8824 c. 18: 5 3 3 5 2 SP T3 S SD: 10.4414 c. M:-15.6667 c. 25: 7 4 4 7 3 SP T3 S SD: 3.8471 c. M: 7.0000 c. 32: 9 5 5 9 4 SP T3 S SD: 4.3932 c. M: 7.5000 c. 48: 14 7 8 13 6 SP SD: 4.0988 c. M:-7.0000 c. 55: 16 8 9 15 7 SP SD: 3.7425 c. M:-6.0909 c. 57: 16 9 9 16 7 SP T3 S SD: 3.4971 c. M: 6.1579 c. 62: 18 9 10 17 8 SP SD: 4.6361 c. M: 5.8387 c. 63: 18 10 10 17 8 SP SD: 3.2987 c. M:-5.3333 c. 70: 20 11 11 19 9 SP SD: 2.8183 c. M: 5.2857 c. 73: 21 11 12 20 9 SP SD: 2.0336 c. M:-3.2877 c. 80: 23 12 13 22 10 SP SD: 1.6733 c. M: 3.0000 c. 95: 27 15 15 26 12 SP SD: 1.8344 c. M: 2.5789 c. 98: 28 15 16 27 12 SP SD: 1.5764 c. M:-2.4490 c. 105: 30 16 17 29 13 SP SD: 1.0420 c. M: 2.2857 c. 130: 37 20 21 36 16 SP SD: 1.2045 c. M: 1.8462 c. 168: 48 26 27 46 21 SP SD: 0.8231 c. M:-1.4286 c. 175: 50 27 28 48 22 SP SD: 0.8330 c. M: 1.8571 c. 193: 55 30 31 53 24 SP SD: 0.7624 c. M:-1.2435 c. 200: 57 31 32 55 25 SP SD: 0.6325 c. M: 1.0000 c. 273: 78 42 44 75 34 SP SD: 0.5049 c. M:-0.8791 c. 280: 80 43 45 77 35 SP SD: 0.5925 c. M: 1.0000 c. 298: 85 46 48 82 37 SP SD: 0.5287 c. M:-0.8054 c. 305: 87 47 49 84 38 SP SD: 0.5243 c. M: 0.7869 c. 370: 106 57 59 102 46 SP SD: 0.4628 c. M:-0.7838 c. 377: 108 58 60 104 47 SP SD: 0.5480 c. M:-0.7666 c. 378: 108 58 61 104 47 SP SD: 0.5474 c. M: 1.0159 c. 388: 111 60 62 107 48 SP SD: 0.5514 c. M:-0.8660 c. 395: 113 61 63 109 49 SP SD: 0.3077 c. M:-0.6076 c. 402: 115 62 64 111 50 SP SD: 0.3548 c. M: 0.5970 c. 420: 120 65 67 116 52 SP SD: 0.3258 c. M:-0.5714 c. 427: 122 66 68 118 53 SP SD: 0.3010 c. M: 0.5621 c. 452: 129 70 72 125 56 SP SD: 0.3907 c. M: 0.5310 c. 468: 134 72 75 129 58 SP SD: 0.3827 c. M:-0.5897 c. 475: 136 73 76 131 59 SP SD: 0.2600 c. M:-0.5789 c. 493: 141 76 79 136 61 SP SD: 0.3431 c. M:-0.5213 c. 500: 143 77 80 138 62 SP SD: 0.1265 c. M:-0.2000 c. 700: 200 108 112 193 87 SP SD: 0.0904 c. M: 0.1429 c. 1175: 336 181 188 324 146 SP SD: 0.0819 c. M:-0.1489 c. 1200: 343 185 192 331 149 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: 9.0225 cents 3 x 4:5 x 6 S SD: 55.6887 cents 4:5 x 6:7:8 S SD: 23.6568 cents 5:6:7:8:9:10 H SD: 23.3350 cents 6:7:8:9:11:12 SD: 16.7586 cents 8:10:11:12:15:16 S SD: 12.8598 cents 12:15:16:18:22:24 SD: 11.1385 cents 13:16:18:20:24:26 SD: 9.5852 cents 14:17:19:21:26:28 SD: 5.6634 cents 19:23:26:29:35:38 SD: 4.7526 cents 23:28:31:35:42:46 SD: 3.1722 cents 31:38:42:47:57:62 SD: 2.0679 cents 37:45:50:56:68:74 SD: 1.7349 cents 50:61:68:76:92:100 SD: 1.6220 cents 64:78:87:97:117:128 SD: 1.4942 cents 68:83:92:103:125:136 SD: 1.2089 cents 73:89:99:111:134:146 SD: 1.1126 cents 78:95:106:118:143:156 SD: 1.0103 cents 87:106:118:132:160:174 SD: 0.8606 cents 101:123:137:153:185:202 SD: 0.7645 cents 109:133:148:165:200:218 SD: 0.6214 cents 132:161:179:200:242:264 SD: 0.4129 cents 151:184:205:229:277:302 SD: 0.3793 cents 182:222:247:276:334:364 SD: 0.2927 cents 219:267:297:332:402:438 SD: 0.1653 cents 351:428:476:532:644:702 SD: 0.1546 cents 370:451:502:561:679:740 SD: 0.1333 cents 479:584:650:726:879:958 SD: 0.1037 cents 502:612:681:761:921:1004 SD: 0.0920 cents 516:629:700:782:947:1032 SD: 0.0711 cents