Scala analysis: Angola_Mupeku_10497
Mupeku 10497 (Likembe), Angola
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.000 cents 176.000000 2: 374.000 cents 374.000000 3: 509.000 cents 509.000000 4: 678.000 cents 678.000000 5: 870.000 cents 870.000000 6: 1223.000 cents 1223.000000
SHOW/INTERVAL
0: 353.0000 cents 353.0000 1: 176.0000 cents 176.0000 2: 198.0000 cents 198.0000 3: 135.0000 cents 135.0000 4: 169.0000 cents 169.0000 5: 192.0000 cents 192.0000 6: 353.0000 cents 353.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 135.00000 cents 1: 1 169.00000 cents 1: 1 176.00000 cents 1: 1 192.00000 cents 1: 1 198.00000 cents 1: 1 353.00000 cents 2: 1 304.00000 cents 2: 1 333.00000 cents 2: 1 361.00000 cents 2: 1 374.00000 cents 2: 1 529.00000 cents 2: 1 545.00000 cents 3: 1 496.00000 cents 3: 1 502.00000 cents 3: 1 509.00000 cents 3: 1 714.00000 cents 3: 1 721.00000 cents 3: 1 727.00000 cents 4: 1 678.00000 cents 4: 1 694.00000 cents 4: 1 849.00000 cents 4: 1 862.00000 cents 4: 1 890.00000 cents 4: 1 919.00000 cents 5: 1 870.00000 cents 5: 1 1025.00000 cents 5: 1 1031.00000 cents 5: 1 1047.00000 cents 5: 1 1054.00000 cents 5: 1 1088.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 176.0 374.0 509.0 678.0 870.0 1223.0 176.0 : 198.0 333.0 502.0 694.0 1047.0 1223.0 374.0 : 135.0 304.0 496.0 849.0 1025.0 1223.0 509.0 : 169.0 361.0 714.0 890.0 1088.0 1223.0 678.0 : 192.0 545.0 721.0 919.0 1054.0 1223.0 870.0 : 353.0 529.0 727.0 862.0 1031.0 1223.0 1223.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 135.0000 .. 353.0000 cents 218.00000 cents 135.00000 cents 2: 304.0000 .. 545.0000 cents 241.00000 cents -49.00000 cents 3: 496.0000 .. 727.0000 cents 231.00000 cents -49.00000 cents 4: 678.0000 .. 919.0000 cents 241.00000 cents -49.00000 cents 5: 870.0000 .. 1088.0000 cents 218.00000 cents -49.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 135.00000 cents, class 1 Average step (divided formal octave): 203.8333 cents Largest one step interval : 353.00000 cents Average / Smallest step : 1.509877 Largest / Average step : 1.731807 Largest / Smallest step : 2.614815 Median interval of one step : 184.00000 cents, amount: 0 Least squares average step : 185.17582 cents, oct.: 1111.05495 cents Scale is not proper Scale is a mode of a 1223-tone equal temperament with octave 1223.000 cents degrees: 176 374 509 678 870 1223 Least number of segments generator : 612 of 612.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 714 of 714.000 cents and inv. generated superset size: 209 = 203 more = 3483.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : CEABDF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.00000 cents Scale diversity : 1.404884 Lumma stability : 0.220769 Lumma impropriety factor : 0.160262 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 6.00000 cents Number of recognisable fifths : 2, average 704.0000 cents Number of recognisable fourths : 3, average 502.3333 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 241.0000 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 57.1362 c. M: 101.3333 c. 7: 1 1 1 1 1 2 P M ME SD: 14.6201 c. M: 24.5714 c. 20: 3 3 2 3 3 6 N D3 SD: 10.9528 c. M: 19.8000 c. 22: 3 4 2 3 4 6 N SD: 12.1595 c. M:-19.4545 c. 27: 4 4 3 4 4 8 N D3 SD: 7.8250 c. M: 11.6296 c. 29: 4 5 3 4 5 8 N SD: 7.6088 c. M:-15.6207 c. 34: 5 5 4 5 5 10 N D3 SD: 7.3375 c. M: 14.2941 c. 36: 5 6 4 5 6 10 N SD: 6.0070 c. M:-13.2778 c. 43: 6 7 5 6 7 12 N SD: 5.9649 c. M:-11.6977 c. 47: 7 7 6 6 7 14 N SD: 8.0852 c. M:-11.4255 c. 48: 7 8 5 7 7 14 N SD: 5.5591 c. M:-9.9375 c. 49: 7 8 5 7 8 14 N SD: 4.6142 c. M: 9.8163 c. 53: 8 8 6 7 9 15 N SD: 6.1046 c. M: 8.8113 c. 55: 8 9 6 7 9 16 N SD: 5.0399 c. M: 10.9091 c. 56: 8 9 6 8 9 16 N SD: 3.3586 c. M: 6.6964 c. 63: 9 10 7 9 10 18 N SD: 3.1974 c. M: 5.1587 c. 65: 9 11 7 9 10 19 N SD: 3.4465 c. M: 6.6615 c. 69: 10 11 8 9 11 20 N SD: 2.9448 c. M:-5.0145 c. 72: 10 12 8 10 11 21 N SD: 2.9988 c. M: 6.1389 c. 89: 13 14 10 12 14 26 N SD: 3.0611 c. M: 4.6629 c. 96: 14 15 11 13 15 28 N SD: 2.8345 c. M: 4.5521 c. 98: 14 16 11 13 16 28 N SD: 2.5324 c. M: 4.1020 c. 101: 15 16 11 14 16 29 N SD: 2.4905 c. M:-5.6337 c. 104: 15 17 11 15 16 30 N SD: 2.3496 c. M:-4.0577 c. 105: 15 17 12 14 17 30 N SD: 2.3874 c. M:-3.5714 c. 108: 16 17 12 15 17 31 N SD: 2.3531 c. M:-5.1852 c. 111: 16 18 12 16 17 32 N SD: 2.2926 c. M:-5.1171 c. 117: 17 19 13 16 18 34 N SD: 2.0933 c. M:-3.1966 c. 118: 17 19 13 16 19 34 N SD: 1.8754 c. M: 4.3136 c. 125: 18 20 14 17 20 36 N SD: 1.5263 c. M: 2.9040 c. 141: 20 23 16 19 22 41 N SD: 1.9993 c. M:-2.7518 c. 144: 21 23 16 20 22 42 N SD: 1.9067 c. M: 3.7083 c. 146: 21 24 16 20 23 42 N SD: 1.5434 c. M:-2.9521 c. 153: 22 25 17 21 24 44 N SD: 1.4886 c. M:-2.5817 c. 159: 23 26 17 22 25 46 N SD: 1.4700 c. M:-2.8994 c. 166: 24 27 18 23 26 48 N SD: 0.8720 c. M:-1.7410 c. 173: 25 28 19 24 27 50 N SD: 0.5244 c. M:-0.7341 c. 298: 43 48 33 41 47 86 N SD: 0.4509 c. M: 0.8356 c. 370: 53 60 41 51 58 107 N SD: 0.5026 c. M: 0.8135 c. 402: 58 65 44 56 63 116 N SD: 0.4689 c. M: 0.9378 c. 409: 59 66 45 57 64 118 N SD: 0.4654 c. M:-0.7800 c. 444: 64 72 49 61 70 128 N SD: 0.4343 c. M:-0.6126 c. 451: 65 73 50 62 71 130 N SD: 0.4084 c. M:-0.8093 c. 464: 67 75 51 64 73 134 N SD: 0.3929 c. M: 0.6056 c. 471: 68 76 52 65 74 136 N SD: 0.2700 c. M:-0.5690 c. 478: 69 77 53 66 75 138 N SD: 0.2961 c. M:-0.5418 c. 543: 78 88 60 75 85 157 N SD: 0.2870 c. M: 0.6114 c. 624: 90 101 69 86 98 180 N SD: 0.3367 c. M:-0.5833 c. 644: 93 104 71 89 101 186 N SD: 0.2722 c. M:-0.6134 c. 673: 97 109 74 93 106 194 N SD: 0.2782 c. M:-0.4562 c. 680: 98 110 75 94 107 196 N SD: 0.2291 c. M:-0.4882 c. 707: 102 114 78 98 111 204 N SD: 0.2960 c. M:-0.4441 c. 709: 102 115 78 98 111 205 N SD: 0.2920 c. M: 0.6178 c. 716: 103 116 79 99 112 207 N SD: 0.2436 c. M: 0.5768 c. 745: 107 121 82 103 117 215 N SD: 0.1900 c. M: 0.3477 c. 752: 108 122 83 104 118 217 N SD: 0.1691 c. M: 0.3564 c. 860: 124 139 95 119 135 248 N SD: 0.2397 c. M:-0.3395 c. 870: 125 141 96 120 137 251 N SD: 0.2267 c. M: 0.4299 c. 877: 126 142 97 121 138 253 N SD: 0.2069 c. M: 0.2896 c. 918: 132 149 101 127 144 265 N SD: 0.1694 c. M:-0.3606 c. 925: 133 150 102 128 145 267 N SD: 0.1453 c. M:-0.2692 c. 1043: 150 169 115 144 164 301 N SD: 0.1230 c. M: 0.2493 c. 1050: 151 170 116 145 165 303 N SD: 0.0864 c. M: 0.1210 c. 1216: 175 197 134 168 191 351 N SD: 0.0842 c. M:-0.1414 c. 1223: 176 198 135 169 192 353 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 23.0000 cents 2 x x x 3 x 4 S SD: 16.6045 cents 3 x x 4 x 5:6 S SD: 9.7478 cents 4 x 5 x 6:7:8 S SD: 26.2453 cents 5 x 6:7 x 8:10 S SD: 27.9620 cents 6:7 x 8:9:10:12 S SD: 19.6841 cents 7:8:9 x 10:12:14 S SD: 24.4552 cents 8:9:10:11:12:13:16 SD: 11.4174 cents 9:10:11:12:13:15:18 SD: 9.5972 cents 12:13:15:16:18:20:24 SD: 9.1005 cents 17:19:21:23:25:28:34 SD: 5.8196 cents 21:23:26:28:31:35:43 SD: 5.3109 cents 26:29:32:35:38:43:53 SD: 5.1504 cents 29:32:36:39:43:48:59 SD: 1.7570 cents 46:51:57:62:68:76:93 SD: 1.6307 cents 67:74:83:90:99:111:136 SD: 1.2614 cents 75:83:93:101:111:124:152 SD: 1.0913 cents 103:114:128:138:152:170:209 SD: 1.0603 cents 111:123:138:149:164:183:225 SD: 1.0135 cents 112:124:139:150:166:185:227 SD: 0.7873 cents 121:134:150:162:179:200:245 SD: 0.7821 cents 140:155:174:188:207:231:284 SD: 0.7494 cents 141:156:175:189:209:233:286 SD: 0.6983 cents 149:165:185:200:220:246:302 SD: 0.6764 cents 150:166:186:201:222:248:304 SD: 0.4980 cents 158:175:196:212:234:261:320 SD: 0.4665 cents 187:207:232:251:277:309:379 SD: 0.4087 cents 196:217:243:263:290:324:397 SD: 0.3641 cents 225:249:279:302:333:372:456 SD: 0.3268 cents 290:321:360:389:429:479:588 SD: 0.2621 cents 328:363:407:440:485:542:665 SD: 0.2284 cents 336:372:417:451:497:555:681 SD: 0.2264 cents 457:506:567:613:676:755:926 SD: 0.2217 cents 486:538:603:652:719:803:985 SD: 0.1537 cents 515:570:639:691:762:851:1044 SD: 0.1515 cents 559:619:694:750:827:924:1133 SD: 0.1233 cents 588:651:730:789:870:972:1192 SD: 0.1219 cents 597:661:741:801:883:987:1210 SD: 0.1064 cents