Scala analysis: Malawi_Asena_07
Asena 7 (Bangwe), Malawi
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 136.000 cents 136.000000 2: 324.000 cents 324.000000 3: 510.000 cents 510.000000 4: 648.000 cents 648.000000 5: 833.000 cents 833.000000 6: 1027.000 cents 1027.000000 7: 1202.000 cents 1202.000000 8: 1382.000 cents 1382.000000
SHOW/INTERVAL
0: 180.0000 cents 180.0000 1: 136.0000 cents 136.0000 2: 188.0000 cents 188.0000 3: 186.0000 cents 186.0000 4: 138.0000 cents 138.0000 5: 185.0000 cents 185.0000 6: 194.0000 cents 194.0000 7: 175.0000 cents 175.0000 8: 180.0000 cents 180.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.00000 cents 1: 1 138.00000 cents 1: 1 175.00000 cents 1: 1 180.00000 cents 1: 1 185.00000 cents 1: 1 186.00000 cents 1: 1 188.00000 cents 1: 1 194.00000 cents 2: 1 316.00000 cents 2: 1 323.00000 cents 2: 2 324.00000 cents 2: 1 355.00000 cents 2: 1 369.00000 cents 2: 1 374.00000 cents 2: 1 379.00000 cents 3: 1 491.00000 cents 3: 1 504.00000 cents 3: 1 509.00000 cents 3: 1 510.00000 cents 3: 1 512.00000 cents 3: 1 517.00000 cents 3: 1 549.00000 cents 3: 1 554.00000 cents 4: 1 648.00000 cents 4: 1 679.00000 cents 4: 1 685.00000 cents 4: 1 690.00000 cents 4: 1 692.00000 cents 4: 1 697.00000 cents 4: 1 703.00000 cents 4: 1 734.00000 cents 5: 1 828.00000 cents 5: 1 833.00000 cents 5: 1 865.00000 cents 5: 1 870.00000 cents 5: 1 872.00000 cents 5: 1 873.00000 cents 5: 1 878.00000 cents 5: 1 891.00000 cents 6: 1 1003.00000 cents 6: 1 1008.00000 cents 6: 1 1013.00000 cents 6: 1 1027.00000 cents 6: 2 1058.00000 cents 6: 1 1059.00000 cents 6: 1 1066.00000 cents 7: 1 1188.00000 cents 7: 1 1194.00000 cents 7: 1 1196.00000 cents 7: 1 1197.00000 cents 7: 1 1202.00000 cents 7: 1 1207.00000 cents 7: 1 1244.00000 cents 7: 1 1246.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.71429 = 54/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 136.0 324.0 510.0 648.0 833.0 1027.0 1202.0 1382.0 136.0 : 188.0 374.0 512.0 697.0 891.0 1066.0 1246.0 1382.0 324.0 : 186.0 324.0 509.0 703.0 878.0 1058.0 1194.0 1382.0 510.0 : 138.0 323.0 517.0 692.0 872.0 1008.0 1196.0 1382.0 648.0 : 185.0 379.0 554.0 734.0 870.0 1058.0 1244.0 1382.0 833.0 : 194.0 369.0 549.0 685.0 873.0 1059.0 1197.0 1382.0 1027.0: 175.0 355.0 491.0 679.0 865.0 1003.0 1188.0 1382.0 1202.0: 180.0 316.0 504.0 690.0 828.0 1013.0 1207.0 1382.0 1382.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.0000 .. 194.0000 cents 58.00000 cents 136.00000 cents 2: 316.0000 .. 379.0000 cents 63.00000 cents 122.00000 cents 3: 491.0000 .. 554.0000 cents 63.00000 cents 112.00000 cents 4: 648.0000 .. 734.0000 cents 86.00000 cents 94.00000 cents 5: 828.0000 .. 891.0000 cents 63.00000 cents 94.00000 cents 6: 1003.0000 .. 1066.0000 cents 63.00000 cents 112.00000 cents 7: 1188.0000 .. 1246.0000 cents 58.00000 cents 122.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 136.00000 cents, class 1 Average step (divided formal octave): 172.7500 cents Largest one step interval : 194.00000 cents Average / Smallest step : 1.270221 Largest / Average step : 1.123010 Largest / Smallest step : 1.426471 Median interval of one step : 182.50000 cents, amount: 0 Least squares average step : 170.11275 cents, oct.: 1360.90196 cents Scale is strictly proper Scale is a mode of a 1382-tone equal temperament with octave 1382.000 cents degrees: 136 324 510 648 833 1027 1202 1382 Least number of segments generator : 693 of 693.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 817 of 817.000 cents and inv. generated superset size: 401 = 393 more = 5012.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGH Step pattern size order : AGFBEHCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 94.00000 cents Scale diversity : 1.038218 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.671491 Rothenberg efficiency : 0.258929 redundancy: 0.741071 Efficiency x scale size : 2.071429 Number of different interval sizes : 54 = 7.71429 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 7.71429 = 54/7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Most common intervals : 324.00000 cents & inv., amount: 2 Most common triad is 0.0 324.000 1058.000 cents, amount: 1 Number of recognisable fifths : 4, average 695.5000 cents Number of recognisable fourths : 5, average 505.2000 cents Number of appreciable fourths : 4, average 503.5000 cents Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 58.0000 cents: 4 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 24.5414 c. M:-43.0000 c. 13: 1 2 2 1 2 2 1 2 P M ME SD: 22.7613 c. M:-36.0769 c. Kadathian 17: 2 2 2 2 2 3 2 2 SP M ME SD: 18.7191 c. M:-29.8235 c. 20: 2 3 2 2 3 3 2 3 SP D3 SD: 18.3370 c. M: 27.3000 c. 21: 2 3 3 2 3 3 2 3 SP M ME SD: 15.4218 c. M:-25.9524 c. 22: 2 3 3 2 3 3 3 3 SP D3 S SD: 13.5701 c. M: 21.9091 c. 28: 3 4 3 3 4 4 3 4 SP D3 SD: 12.9863 c. M:-21.5000 c. 30: 3 4 4 3 4 4 4 4 SP D3 S SD: 5.5121 c. M: 13.5333 c. 38: 4 5 5 4 5 5 5 5 SP D3 S SD: 5.4349 c. M:-9.4737 c. 51: 5 7 7 5 7 7 6 7 SP SD: 4.7648 c. M: 9.6863 c. 60: 6 8 8 6 8 9 7 8 SP SD: 4.3325 c. M:-9.5000 c. 68: 7 9 9 7 9 10 8 9 SP SD: 4.3102 c. M:-9.5000 c. 70: 7 9 10 7 9 10 9 9 SP SD: 3.7741 c. M: 8.1143 c. 71: 7 10 9 7 10 10 9 9 SP SD: 4.4109 c. M:-6.9014 c. 73: 7 10 10 7 10 10 9 10 SP SD: 4.2676 c. M: 9.3151 c. 78: 8 10 11 8 10 11 10 10 SP SD: 4.1685 c. M:-7.5641 c. 81: 8 11 11 8 11 11 10 11 SP SD: 3.2172 c. M: 7.6790 c. 85: 8 12 11 9 11 12 11 11 SP SD: 3.5501 c. M: 5.9765 c. 90: 9 12 12 9 12 13 11 12 SP SD: 2.8114 c. M: 4.2667 c. 98: 10 13 13 10 13 14 12 13 SP SD: 2.4810 c. M:-5.0204 c. 120: 12 16 16 12 16 17 15 16 SP SD: 2.8279 c. M: 4.2667 c. 121: 12 16 17 12 16 17 15 16 SP SD: 2.5647 c. M: 4.1983 c. 124: 12 17 17 12 17 17 16 16 SP SD: 1.9120 c. M:-2.8871 c. 132: 13 18 18 13 18 18 17 17 SP SD: 2.1393 c. M:-4.5758 c. 133: 13 18 18 13 18 19 17 17 SP SD: 2.1313 c. M: 3.7594 c. 136: 13 19 18 14 18 19 17 18 SP SD: 2.0841 c. M: 3.8971 c. 141: 14 19 19 14 19 20 18 18 SP SD: 1.6021 c. M:-3.5745 c. 171: 17 23 23 17 23 24 22 22 SP SD: 1.1616 c. M:-2.1988 c. 184: 18 25 25 18 25 26 23 24 SP SD: 1.1752 c. M: 2.0652 c. 192: 19 26 26 19 26 27 24 25 SP SD: 1.1655 c. M:-2.3021 c. 214: 21 29 29 21 29 30 27 28 SP SD: 0.9338 c. M: 2.2056 c. 222: 22 30 30 22 30 31 28 29 SP SD: 0.6372 c. M:-1.1802 c. 307: 30 42 41 31 41 43 39 40 SP SD: 0.6269 c. M: 1.3160 c. 363: 36 49 49 36 49 51 46 47 SP SD: 0.7503 c. M:-1.0634 c. 375: 37 51 50 38 50 53 47 49 SP SD: 0.7453 c. M: 1.4240 c. 377: 37 51 51 38 50 53 48 49 SP SD: 0.7311 c. M: 1.4111 c. 393: 39 53 53 39 53 55 50 51 SP SD: 0.6227 c. M:-1.1450 c. 439: 43 60 59 44 59 61 56 57 SP SD: 0.6219 c. M:-1.2369 c. 448: 44 61 60 45 60 63 57 58 SP SD: 0.5433 c. M:-1.0804 c. 455: 45 62 61 45 61 64 58 59 SP SD: 0.7048 c. M: 1.0418 c. 456: 45 62 61 46 61 64 58 59 SP SD: 0.6161 c. M:-1.1886 c. 460: 45 63 62 46 61 65 58 60 SP SD: 0.6358 c. M:-0.9391 c. 469: 46 64 63 47 63 66 59 61 SP SD: 0.6322 c. M:-1.3966 c. 478: 47 65 64 48 64 67 61 62 SP SD: 0.5639 c. M: 1.1464 c. 486: 48 66 65 49 65 68 62 63 SP SD: 0.5409 c. M: 0.9918 c. 491: 48 67 66 49 66 69 62 64 SP SD: 0.4685 c. M: 0.8961 c. 499: 49 68 67 50 67 70 63 65 SP SD: 0.3361 c. M:-0.6313 c. 529: 52 72 71 53 71 74 67 69 SP SD: 0.2870 c. M: 0.5671 c. 670: 66 91 90 67 90 94 85 87 SP SD: 0.3283 c. M:-0.5463 c. 712: 70 97 96 71 95 100 90 93 SP SD: 0.3090 c. M: 0.5140 c. 751: 74 102 101 75 101 105 95 98 SP SD: 0.2950 c. M:-0.6165 c. 813: 80 111 109 81 109 114 103 106 SP SD: 0.2944 c. M:-0.6765 c. 823: 81 112 111 82 110 116 104 107 SP SD: 0.3275 c. M:-0.6841 c. 845: 83 115 114 84 113 119 107 110 SP SD: 0.2702 c. M: 0.5290 c. 853: 84 116 115 85 114 120 108 111 SP SD: 0.1780 c. M:-0.3517 c. 1075: 106 146 145 107 144 151 136 140 SP SD: 0.1790 c. M:-0.3758 c. 1105: 109 150 149 110 148 155 140 144 SP SD: 0.1797 c. M:-0.3240 c. 1160: 114 158 156 116 155 163 147 151 SP SD: 0.1220 c. M: 0.2259 c. 1352: 133 184 182 135 181 190 171 176 SP SD: 0.1223 c. M:-0.3003 c. 1374: 135 187 185 137 184 193 174 179 SP SD: 0.1429 c. M: 0.2504 c. 1382: 136 188 186 138 185 194 175 180 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x S SD: 2.0000 cents 2 x x x 3 x x 4 x S SD: 26.9960 cents 3 x x 4 x 5 x 6:7 S SD: 24.9846 cents 4 x 5 x 6 x 7:8:9 S SD: 20.6518 cents 5 x 6 x 7:8:9:10:11 S SD: 11.9173 cents 6 x 7:8:9:10:11:12:13 S SD: 15.2165 cents 7 x 8:9:10:11:13:14:16 SD: 21.2523 cents 8:9:10:11:12:13:14:16:18 S SD: 16.3162 cents 9:10:11:12:13:15:16:18:20 SD: 10.1327 cents 11:12:13:15:16:18:20:22:24 SD: 7.4863 cents 14:15:17:19:20:23:25:28:31 SD: 6.8199 cents 15:16:18:20:22:24:27:30:33 S SD: 5.2775 cents 20:22:24:27:29:32:36:40:44 SD: 5.2724 cents 23:25:28:31:33:37:42:46:51 SD: 4.4597 cents 24:26:29:32:35:39:43:48:53 SD: 3.2198 cents 26:28:31:35:38:42:47:52:58 SD: 3.0786 cents 35:38:42:47:51:57:63:70:78 SD: 2.4179 cents 44:48:53:59:64:71:80:88:98 SD: 2.2731 cents 47:51:57:63:68:76:85:94:104 SD: 2.0328 cents 49:53:59:66:71:79:89:98:109 SD: 1.5718 cents 58:63:70:78:84:94:105:116:129 SD: 1.3962 cents 62:67:75:83:90:100:112:124:138 SD: 1.3710 cents 73:79:88:98:106:118:132:146:162 SD: 0.5422 cents 170:184:205:228:247:275:308:340:378 SD: 0.4908 cents 199:215:240:267:289:322:360:398:442 SD: 0.4801 cents 209:226:252:281:304:338:378:418:464 SD: 0.4757 cents 220:238:265:295:320:356:398:441:489 SD: 0.4554 cents 222:240:268:298:323:359:402:445:493 SD: 0.4410 cents 233:252:281:313:339:377:422:467:518 SD: 0.3624 cents 257:278:310:345:374:416:465:515:571 SD: 0.2904 cents 306:331:369:411:445:495:554:613:680 SD: 0.1765 cents 330:357:398:443:480:534:597:661:733 SD: 0.1637 cents 379:410:457:509:551:613:686:759:842 SD: 0.1128 cents