Scala analysis: Angola_Mupeku_10500
Mupeku 10500 (Likembe), Angola
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 179.000 cents 179.000000 2: 378.000 cents 378.000000 3: 499.000 cents 499.000000 4: 683.000 cents 683.000000 5: 867.000 cents 867.000000 6: 1222.000 cents 1222.000000
SHOW/INTERVAL
0: 355.0000 cents 355.0000 1: 179.0000 cents 179.0000 2: 199.0000 cents 199.0000 3: 121.0000 cents 121.0000 4: 184.0000 cents 184.0000 5: 184.0000 cents 184.0000 6: 355.0000 cents 355.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 121.00000 cents 1: 1 179.00000 cents 1: 2 184.00000 cents 1: 1 199.00000 cents 1: 1 355.00000 cents 2: 1 305.00000 cents 2: 1 320.00000 cents 2: 1 368.00000 cents 2: 1 378.00000 cents 2: 1 534.00000 cents 2: 1 539.00000 cents 3: 1 489.00000 cents 3: 1 499.00000 cents 3: 1 504.00000 cents 3: 1 718.00000 cents 3: 1 723.00000 cents 3: 1 733.00000 cents 4: 1 683.00000 cents 4: 1 688.00000 cents 4: 1 844.00000 cents 4: 1 854.00000 cents 4: 1 902.00000 cents 4: 1 917.00000 cents 5: 1 867.00000 cents 5: 1 1023.00000 cents 5: 2 1038.00000 cents 5: 1 1043.00000 cents 5: 1 1101.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.60000 = 28/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 179.0 378.0 499.0 683.0 867.0 1222.0 179.0 : 199.0 320.0 504.0 688.0 1043.0 1222.0 378.0 : 121.0 305.0 489.0 844.0 1023.0 1222.0 499.0 : 184.0 368.0 723.0 902.0 1101.0 1222.0 683.0 : 184.0 539.0 718.0 917.0 1038.0 1222.0 867.0 : 355.0 534.0 733.0 854.0 1038.0 1222.0 1222.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 121.0000 .. 355.0000 cents 234.00000 cents 121.00000 cents 2: 305.0000 .. 539.0000 cents 234.00000 cents -50.00000 cents 3: 489.0000 .. 733.0000 cents 244.00000 cents -50.00000 cents 4: 683.0000 .. 917.0000 cents 234.00000 cents -50.00000 cents 5: 867.0000 .. 1101.0000 cents 234.00000 cents -50.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 121.00000 cents, class 1 Average step (divided formal octave): 203.6667 cents Largest one step interval : 355.00000 cents Average / Smallest step : 1.683196 Largest / Average step : 1.743044 Largest / Smallest step : 2.933884 Median interval of one step : 184.00000 cents, amount: 2 Most common interval of one step : 184.00000 cents, amount: 2 Least squares average step : 184.95604 cents, oct.: 1109.73626 cents Scale is not proper Scale is a mode of a 1222-tone equal temperament with octave 1222.000 cents degrees: 179 378 499 683 867 1222 Least number of segments generator : 613 of 613.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 965 of 965.000 cents and inv. generated superset size: 128 = 122 more = 2133.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDDE Step pattern size order : BDACCE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.00000 cents Scale diversity : 1.426912 Lumma stability : 0.198036 Lumma impropriety factor : 0.163666 Rothenberg efficiency : 0.355556 redundancy: 0.644444 Efficiency x scale size : 2.133333 Number of different interval sizes : 28 = 5.60000 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.60000 = 28/5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 5.00000 cents Most common intervals : 184.00000 cents & inv., amount: 2 Most common triad is 0.0 184.000 1038.000 cents, amount: 1 Number of recognisable fifths : 2, average 703.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 3, average 497.3333 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 234.0000 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 54.4586 c. M: 91.6667 c. 7: 1 1 1 1 1 2 P M ME SD: 16.9858 c. M: 28.8571 c. 13: 2 2 1 2 2 4 N D3 SD: 18.2209 c. M: 29.0000 c. 19: 3 3 2 3 3 5 P G D3 SD: 19.2087 c. M:-33.4211 c. 20: 3 3 2 3 3 6 N D3 SD: 9.1820 c. M: 11.6000 c. 27: 4 4 3 4 4 8 N D3 SD: 7.3716 c. M: 15.9259 c. 32: 5 5 3 5 5 9 N D3 SD: 7.2018 c. M:-11.9375 c. 39: 6 6 4 6 6 11 N D3 SD: 6.2893 c. M:-10.3333 c. 41: 6 7 4 6 6 12 N SD: 5.1960 c. M:-9.4634 c. 48: 7 8 5 7 7 14 N SD: 4.8331 c. M:-10.1667 c. 52: 8 8 5 8 8 15 N D3 SD: 4.5415 c. M:-9.0000 c. 54: 8 9 5 8 8 16 N SD: 4.4225 c. M: 7.0741 c. 56: 8 9 6 8 9 16 N SD: 5.0745 c. M: 7.0357 c. 59: 9 9 6 9 9 17 N D3 SD: 3.9596 c. M:-7.4068 c. 61: 9 10 6 9 9 18 N SD: 2.7890 c. M: 5.5902 c. 68: 10 11 7 10 10 20 N SD: 2.5100 c. M: 4.4118 c. 90: 13 15 9 13 14 26 N SD: 2.6820 c. M: 4.1111 c. 93: 14 15 9 14 14 27 N SD: 2.3846 c. M:-4.9570 c. 100: 15 16 10 15 15 29 N SD: 2.0563 c. M:-4.3000 c. 107: 16 17 11 16 16 31 N SD: 2.3580 c. M:-3.7290 c. 110: 16 18 11 16 17 32 N SD: 2.2840 c. M: 5.3455 c. 111: 16 18 11 17 17 32 N SD: 2.6542 c. M: 3.6937 c. 116: 17 19 11 18 17 34 N SD: 2.2246 c. M: 3.8793 c. 117: 17 19 12 17 18 34 N SD: 2.1773 c. M: 4.1111 c. 120: 18 19 12 18 18 35 N SD: 1.9361 c. M:-4.3000 c. 123: 18 20 12 19 18 36 N SD: 1.7655 c. M: 2.6585 c. 142: 21 23 14 21 22 41 N SD: 1.7343 c. M: 3.1549 c. 145: 21 24 14 22 22 42 N SD: 1.2899 c. M: 2.0207 c. 152: 22 25 15 23 23 44 N SD: 1.0482 c. M: 2.1316 c. 172: 25 28 17 26 26 50 N SD: 1.1398 c. M: 1.6744 c. 204: 30 33 20 31 31 59 N SD: 1.0547 c. M: 1.8137 c. 206: 30 34 20 31 31 60 N SD: 0.9850 c. M:-1.6505 c. 213: 31 35 21 32 32 62 N SD: 0.6232 c. M: 1.1502 c. 245: 36 40 24 37 37 71 N SD: 0.6280 c. M:-1.0694 c. 252: 37 41 25 38 38 73 N SD: 0.5793 c. M:-1.0079 c. 265: 39 43 26 40 40 77 N SD: 0.5716 c. M: 0.9774 c. 272: 40 44 27 41 41 79 N SD: 0.4083 c. M:-0.7059 c. 417: 61 68 41 63 63 121 N SD: 0.3979 c. M: 0.8225 c. 424: 62 69 42 64 64 123 N SD: 0.3454 c. M:-0.5047 c. 465: 68 76 46 70 70 135 N SD: 0.2861 c. M:-0.4258 c. 485: 71 79 48 73 73 141 N SD: 0.1505 c. M: 0.2619 c. 737: 108 120 73 111 111 214 N SD: 0.0990 c. M:-0.1723 c. 1215: 178 198 120 183 183 353 N SD: 0.0979 c. M:-0.1663 c. 1222: 179 199 121 184 184 355 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 22.0000 cents 2 x x x 3 x 4 S SD: 14.5197 cents 3 x x 4 x 5:6 S SD: 9.3466 cents 4 x 5 x 6:7:8 S SD: 26.5529 cents 5 x 6:7 x 8:10 S SD: 29.7797 cents 6:7 x 8:9:10:12 S SD: 18.8328 cents 7:8:9 x 10:12:14 S SD: 24.6005 cents 8:9:10:11:12:13:16 SD: 11.7507 cents 9:10:11:12:13:15:18 SD: 10.3883 cents 12:13:15:16:18:20:24 SD: 8.8960 cents 17:19:21:23:25:28:34 SD: 6.7745 cents 20:22:25:27:30:33:41 SD: 6.4056 cents 21:23:26:28:31:35:43 SD: 5.9171 cents 25:28:31:33:37:41:51 SD: 5.1229 cents 27:30:34:36:40:45:55 SD: 4.8891 cents 28:31:35:37:42:46:57 SD: 4.8292 cents 29:32:36:39:43:48:59 SD: 3.1976 cents 37:41:46:49:55:61:75 SD: 2.2258 cents 45:50:56:60:67:74:91 SD: 1.6045 cents 54:60:67:72:80:89:109 SD: 1.4930 cents 66:73:82:88:98:109:134 SD: 1.1362 cents 74:82:92:99:110:122:150 SD: 1.0686 cents 111:123:138:148:165:183:225 SD: 0.7104 cents 120:133:149:160:178:198:243 SD: 0.5973 cents 155:172:193:207:230:256:314 SD: 0.5299 cents 192:213:239:256:285:317:389 SD: 0.3544 cents 246:273:306:328:365:406:498 SD: 0.3244 cents 266:295:331:355:395:439:539 SD: 0.3125 cents 275:305:342:367:408:454:557 SD: 0.2085 cents 386:428:480:515:573:637:782 SD: 0.2045 cents 422:468:525:563:626:696:855 SD: 0.1589 cents 569:631:708:759:844:939:1153 SD: 0.1557 cents 577:640:718:770:856:952:1169 SD: 0.1555 cents