Scala analysis: Gambia_Malinke_03
Malinke 3, Gambia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 259.000 cents 259.000000 2: 493.000 cents 493.000000 3: 721.000 cents 721.000000 4: 976.000 cents 976.000000
SHOW/INTERVAL
0: 255.0000 cents 255.0000 1: 259.0000 cents 259.0000 2: 234.0000 cents 234.0000 3: 228.0000 cents 228.0000 4: 255.0000 cents 255.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 228.00000 cents 1: 1 234.00000 cents 1: 1 255.00000 cents 1: 1 259.00000 cents 2: 1 462.00000 cents 2: 1 483.00000 cents 2: 1 493.00000 cents 2: 1 514.00000 cents 3: 1 717.00000 cents 3: 1 721.00000 cents 3: 1 742.00000 cents 3: 1 748.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 259.0 493.0 721.0 976.0 259.0: 234.0 462.0 717.0 976.0 493.0: 228.0 483.0 742.0 976.0 721.0: 255.0 514.0 748.0 976.0 976.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 228.0000 .. 259.0000 cents 31.00000 cents 228.00000 cents 2: 462.0000 .. 514.0000 cents 52.00000 cents 203.00000 cents 3: 717.0000 .. 748.0000 cents 31.00000 cents 203.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 228.00000 cents, class 1 Average step (divided formal octave): 244.0000 cents Largest one step interval : 259.00000 cents Average / Smallest step : 1.070175 Largest / Average step : 1.061475 Largest / Smallest step : 1.135965 Median interval of one step : 244.50000 cents, amount: 0 Least squares average step : 243.73333 cents, oct.: 974.93333 cents Scale is strictly proper Scale is a mode of a 976-tone equal temperament with octave 976.000 cents degrees: 259 493 721 976 Least number of segments generator : 489 of 489.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 775 of 775.000 cents and inv. generated superset size: 86 = 82 more = 2150.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : DBAC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 203.00000 cents Scale diversity : 1.391136 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.883197 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 1, average 717.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 3, average 496.6667 cents Number of appreciable fourths : 1, average 493.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 31.0000 cents: 1 2 3 Limited inverse transpositions with margin 31.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 9.6307 c. M: 15.0000 c. 22: 6 5 5 6 SP D3 I SD: 7.0995 c. M: 11.1818 c. 26: 7 6 6 7 SP D3 I SD: 4.9892 c. M: 7.7692 c. 30: 8 7 7 8 SP D3 I SD: 3.6859 c. M: 5.2667 c. 34: 9 8 8 9 SP D3 I SD: 3.0274 c. M: 5.0000 c. 38: 10 9 9 10 SP D3 I SD: 2.8745 c. M: 5.0000 c. 42: 11 10 10 11 SP D3 I SD: 3.0337 c. M: 5.0000 c. 49: 13 12 11 13 SP SD: 3.1667 c. M:-4.9592 c. 53: 14 13 12 14 SP SD: 2.5990 c. M:-4.2075 c. 57: 15 14 13 15 SP SD: 2.2767 c. M:-3.5614 c. 61: 16 15 14 16 SP SD: 2.1794 c. M:-3.0000 c. 83: 22 20 19 22 SP SD: 1.9069 c. M: 3.6988 c. 87: 23 21 20 23 SP SD: 1.6174 c. M: 3.0230 c. 91: 24 22 21 24 SP SD: 1.4545 c. M: 2.4066 c. 95: 25 23 22 25 SP SD: 1.4203 c. M: 2.1579 c. 125: 33 30 29 33 SP SD: 1.5877 c. M: 2.6640 c. 127: 34 30 30 33 SP SD: 1.4605 c. M:-2.2913 c. 129: 34 31 30 34 SP SD: 1.5489 c. M: 2.2403 c. 131: 35 31 31 34 SP SD: 1.3766 c. M:-1.7634 c. 133: 35 32 31 35 SP SD: 1.5669 c. M: 2.1579 c. 135: 36 32 32 35 SP SD: 1.3580 c. M:-1.9630 c. 146: 39 35 34 38 SP SD: 1.2959 c. M:-1.7123 c. 150: 40 36 35 39 SP SD: 1.1632 c. M:-1.5067 c. 154: 41 37 36 40 SP SD: 1.0877 c. M:-1.4935 c. 158: 42 38 37 41 SP SD: 1.0712 c. M:-1.7342 c. 176: 47 42 41 46 SP SD: 0.8636 c. M:-1.6364 c. 180: 48 43 42 47 SP SD: 0.6721 c. M:-1.2667 c. 184: 49 44 43 48 SP SD: 0.5195 c. M:-0.9130 c. 188: 50 45 44 49 SP SD: 0.4323 c. M:-0.6170 c. 222: 59 53 52 58 SP SD: 0.3586 c. M: 0.6036 c. 275: 73 66 64 72 SP SD: 0.3152 c. M: 0.5345 c. 279: 74 67 65 73 SP SD: 0.2319 c. M: 0.3692 c. 283: 75 68 66 74 SP SD: 0.2185 c. M: 0.3428 c. 463: 123 111 108 121 SP SD: 0.1984 c. M:-0.2829 c. 467: 124 112 109 122 SP SD: 0.1364 c. M:-0.2248 c. 471: 125 113 110 123 SP SD: 0.1093 c. M:-0.1805 c. 505: 134 121 118 132 SP SD: 0.1019 c. M: 0.1683 c. 693: 184 166 162 181 SP SD: 0.0892 c. M:-0.1400 c. 788: 209 189 184 206 SP SD: 0.1031 c. M: 0.1472 c. 968: 257 232 226 253 SP SD: 0.0796 c. M:-0.1240 c. 972: 258 233 227 254 SP SD: 0.0396 c. M:-0.0617 c. 976: 259 234 228 255 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 224.0000 cents 2 x x 3:4 S SD: 112.4041 cents 3 x 4 x 5 S SD: 45.8900 cents 4 x 5:6:7 S SD: 36.2034 cents 6:7:8:9:11 SD: 19.0923 cents 11:13:15:17:19 SD: 17.3166 cents 12:14:16:18:21 S SD: 5.5990 cents 25:29:33:38:44 SD: 3.3464 cents 37:43:49:56:65 SD: 1.9169 cents 70:81:93:106:123 SD: 1.7360 cents 79:92:105:120:139 SD: 1.4771 cents 87:101:116:132:153 SD: 1.3285 cents 91:106:121:138:160 SD: 1.3122 cents 100:116:133:152:176 SD: 1.3002 cents 106:123:141:161:186 SD: 1.0058 cents 112:130:149:170:197 SD: 0.6668 cents 124:144:165:188:218 SD: 0.4554 cents 149:173:198:226:262 SD: 0.3595 cents 161:187:214:244:283 SD: 0.3412 cents 267:310:355:405:469 SD: 0.2303 cents 391:454:520:593:687 SD: 0.1882 cents 416:483:553:631:731 SD: 0.1425 cents 428:497:569:649:752 SD: 0.1103 cents 577:670:767:875:1014 SD: 0.1006 cents