Scala analysis: Gambia_Malinke_02
Malinke 2, Gambia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 157.000 cents 157.000000 2: 335.000 cents 335.000000 3: 530.000 cents 530.000000 4: 702.000 cents 702.000000 5: 858.000 cents 858.000000 6: 1026.000 cents 1026.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 174.0000 cents 174.0000 1: 157.0000 cents 157.0000 2: 178.0000 cents 178.0000 3: 195.0000 cents 195.0000 4: 172.0000 cents 172.0000 5: 156.0000 cents 156.0000 6: 168.0000 cents 168.0000 7: 174.0000 cents 174.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 156.00000 cents 1: 1 157.00000 cents 1: 1 168.00000 cents 1: 1 172.00000 cents 1: 1 174.00000 cents 1: 1 178.00000 cents 1: 1 195.00000 cents 2: 1 324.00000 cents 2: 1 328.00000 cents 2: 1 331.00000 cents 2: 1 335.00000 cents 2: 1 342.00000 cents 2: 1 367.00000 cents 2: 1 373.00000 cents 3: 1 496.00000 cents 3: 1 498.00000 cents 3: 1 499.00000 cents 3: 1 509.00000 cents 3: 1 523.00000 cents 3: 1 530.00000 cents 3: 1 545.00000 cents 4: 1 655.00000 cents 4: 1 670.00000 cents 4: 1 677.00000 cents 4: 1 691.00000 cents 4: 1 701.00000 cents 4: 1 702.00000 cents 4: 1 704.00000 cents 5: 1 827.00000 cents 5: 1 833.00000 cents 5: 1 858.00000 cents 5: 1 865.00000 cents 5: 1 869.00000 cents 5: 1 872.00000 cents 5: 1 876.00000 cents 6: 1 1005.00000 cents 6: 1 1022.00000 cents 6: 1 1026.00000 cents 6: 1 1028.00000 cents 6: 1 1032.00000 cents 6: 1 1043.00000 cents 6: 1 1044.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 157.0 335.0 530.0 702.0 858.0 1026.0 1200.0 157.0 : 178.0 373.0 545.0 701.0 869.0 1043.0 1200.0 335.0 : 195.0 367.0 523.0 691.0 865.0 1022.0 1200.0 530.0 : 172.0 328.0 496.0 670.0 827.0 1005.0 1200.0 702.0 : 156.0 324.0 498.0 655.0 833.0 1028.0 1200.0 858.0 : 168.0 342.0 499.0 677.0 872.0 1044.0 1200.0 1026.0: 174.0 331.0 509.0 704.0 876.0 1032.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 156.0000 .. 195.0000 cents 39.00000 cents 156.00000 cents 2: 324.0000 .. 373.0000 cents 49.00000 cents 129.00000 cents 3: 496.0000 .. 545.0000 cents 49.00000 cents 123.00000 cents 4: 655.0000 .. 704.0000 cents 49.00000 cents 110.00000 cents 5: 827.0000 .. 876.0000 cents 49.00000 cents 123.00000 cents 6: 1005.0000 .. 1044.0000 cents 39.00000 cents 129.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 156.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 195.00000 cents Average / Smallest step : 1.098901 Largest / Average step : 1.137500 Largest / Smallest step : 1.250000 Median interval of one step : 172.00000 cents, amount: 1 Least squares average step : 171.93571 cents, oct.: 1203.55000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 157 335 530 702 858 1026 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: 216 = 209 more = 3085.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BFGDACE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 110.00000 cents Scale diversity : 1.244394 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.771667 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 4, average 699.5000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited transpositions with margin 47.0000 cents: 6 Limited inverse transpositions with margin 47.0000 cents: 2 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 10.6196 c. M: 16.2857 c. Lebeng 22: 3 3 4 3 3 3 3 SP M ME S SD: 10.1219 c. M:-15.4545 c. 29: 4 4 5 4 4 4 4 SP M ME S SD: 7.0251 c. M:-10.9655 c. 36: 5 5 6 5 5 5 5 SP M ME S SD: 5.8581 c. M:-9.6667 c. Equal Diatonic Hypolydian 39: 5 6 6 6 5 5 6 SP D3 SD: 5.7005 c. M: 10.6154 c. 43: 6 6 7 6 6 6 6 SP M ME S SD: 5.6247 c. M:-10.4419 c. 46: 6 7 7 7 6 6 7 SP D3 SD: 4.9769 c. M: 8.6087 c. 48: 6 7 8 7 6 7 7 SP T3 S SD: 5.8919 c. M: 10.0000 c. 50: 7 7 8 7 7 7 7 SP M ME S SD: 5.7817 c. M:-11.0000 c. 53: 7 8 8 8 7 7 8 SP D3 SD: 4.8638 c. M: 9.2453 c. 55: 7 8 9 8 7 8 8 SP T3 S SD: 5.1217 c. M: 7.7273 c. 56: 7 9 9 8 7 8 8 SP SD: 5.0311 c. M:-7.8571 c. 61: 8 9 10 9 8 8 9 SP SD: 3.9069 c. M:-7.5738 c. 62: 8 9 10 9 8 9 9 SP T3 S SD: 4.8325 c. M: 7.4194 c. 63: 8 10 10 9 8 9 9 SP SD: 3.9489 c. M:-7.8571 c. 67: 9 10 11 9 9 9 10 SP SD: 4.4769 c. M:-7.3134 c. 68: 9 10 11 10 9 9 10 SP SD: 3.1601 c. M:-6.7059 c. 74: 10 11 12 10 10 10 11 SP SD: 4.2616 c. M:-5.5405 c. 75: 10 11 12 11 10 10 11 SP SD: 2.8785 c. M:-6.0000 c. 82: 11 12 13 12 11 11 12 SP SD: 2.9393 c. M:-5.4146 c. 84: 11 12 14 12 11 12 12 SP T3 S SD: 2.7963 c. M: 6.4286 c. 89: 12 13 14 13 12 12 13 SP SD: 3.1904 c. M:-4.9213 c. 90: 12 13 15 13 11 13 13 SP SD: 3.0912 c. M:-4.6667 c. 91: 12 13 15 13 12 13 13 SP T3 S SD: 2.7590 c. M: 5.3297 c. 92: 12 14 15 13 12 13 13 SP SD: 3.2421 c. M:-4.7826 c. 97: 13 14 16 14 12 14 14 SP SD: 2.6541 c. M: 4.3918 c. 98: 13 14 16 14 13 14 14 SP T3 S SD: 2.9212 c. M: 4.3878 c. 99: 13 15 16 14 13 14 14 SP SD: 2.8565 c. M:-4.3939 c. 104: 14 15 17 15 13 15 15 SP SD: 2.4742 c. M:-4.5385 c. 108: 14 16 18 15 14 15 16 SP SD: 2.3971 c. M: 3.7778 c. 115: 15 17 19 16 15 16 17 SP SD: 2.1174 c. M: 3.3913 c. 116: 15 17 19 17 15 16 17 SP SD: 2.0990 c. M: 3.9655 c. 122: 16 18 20 17 16 17 18 SP SD: 2.0511 c. M: 3.6393 c. 123: 16 18 20 18 16 17 18 SP SD: 1.8816 c. M: 3.2927 c. 130: 17 19 21 19 17 18 19 SP SD: 1.8666 c. M: 3.8462 c. 140: 18 21 23 20 18 20 20 SP SD: 1.6036 c. M: 2.7143 c. 147: 19 22 24 21 19 21 21 SP SD: 1.2772 c. M:-2.5714 c. 154: 20 23 25 22 20 22 22 SP SD: 1.1462 c. M:-2.5714 c. 166: 22 24 27 24 22 23 24 SP SD: 1.7483 c. M: 2.4699 c. 168: 22 25 27 24 22 24 24 SP SD: 1.4101 c. M:-2.5714 c. 179: 23 27 29 26 23 25 26 SP SD: 1.3005 c. M: 2.8101 c. 185: 24 28 30 26 24 26 27 SP SD: 1.5680 c. M:-2.2973 c. 186: 24 28 30 27 24 26 27 SP SD: 1.0272 c. M: 2.1613 c. 193: 25 29 31 28 25 27 28 SP SD: 0.8955 c. M: 1.5596 c. 215: 28 32 35 31 28 30 31 SP SD: 0.8843 c. M:-1.5349 c. 222: 29 33 36 32 29 31 32 SP SD: 0.7396 c. M:-1.4595 c. 229: 30 34 37 33 30 32 33 SP SD: 0.7413 c. M:-1.3886 c. 236: 31 35 38 34 31 33 34 SP SD: 0.8656 c. M:-1.3220 c. 290: 38 43 47 42 37 41 42 SP SD: 0.7968 c. M:-1.4483 c. 297: 39 44 48 43 38 42 43 SP SD: 0.7694 c. M: 1.4343 c. 308: 40 46 50 44 40 43 45 SP SD: 0.7872 c. M: 1.3247 c. 315: 41 47 51 45 41 44 46 SP SD: 0.7841 c. M: 1.2381 c. 323: 42 48 53 46 42 45 47 SP SD: 0.6956 c. M:-1.2693 c. 330: 43 49 54 47 43 46 48 SP SD: 0.5073 c. M:-0.9091 c. 337: 44 50 55 48 44 47 49 SP SD: 0.3827 c. M:-0.5638 c. 344: 45 51 56 49 45 48 50 SP SD: 0.3711 c. M: 0.8372 c. 530: 69 79 86 76 69 74 77 SP SD: 0.3346 c. M: 0.7736 c. 537: 70 80 87 77 70 75 78 SP SD: 0.3226 c. M: 0.5754 c. 559: 73 83 91 80 73 78 81 SP SD: 0.2988 c. M:-0.6762 c. 566: 74 84 92 81 74 79 82 SP SD: 0.2731 c. M:-0.6572 c. 634: 83 94 103 91 82 89 92 SP SD: 0.2438 c. M: 0.5868 c. 656: 86 97 107 94 85 92 95 SP SD: 0.3034 c. M:-0.4878 c. 663: 87 98 108 95 86 93 96 SP SD: 0.2613 c. M:-0.4661 c. 709: 93 105 115 102 92 99 103 SP SD: 0.2712 c. M:-0.4048 c. 842: 110 125 137 121 109 118 122 SP SD: 0.2623 c. M:-0.6128 c. 849: 111 126 138 122 110 119 123 SP SD: 0.1936 c. M:-0.4735 c. 856: 112 127 139 123 111 120 124 SP SD: 0.1491 c. M:-0.3364 c. 863: 113 128 140 124 112 121 125 SP SD: 0.1494 c. M: 0.2202 c. 1171: 153 174 190 168 152 164 170 SP SD: 0.1740 c. M: 0.2716 c. 1186: 155 176 193 170 154 166 172 SP SD: 0.1254 c. M:-0.1922 c. 1193: 156 177 194 171 155 167 173 SP SD: 0.0623 c. M:-0.0956 c. 1200: 157 178 195 172 156 168 174 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.0225 cents 3 x x 4 x 5 x 6 S SD: 13.8078 cents 4 x 5 x 6 x 7:8 S SD: 19.2061 cents 5 x 6:7 x 8:9:10 S SD: 14.3758 cents 6 x 7:8:9:10:11:12 S SD: 13.8477 cents 7:8 x x x 12:13:14 S SD: 28.7607 cents 8:9:10:11:12:13:14:16 S SD: 13.4485 cents 9:10:11:12:14:15:16:18 S SD: 12.2626 cents 10:11:12:14:15:16:18:20 S SD: 10.3319 cents 11:12:13:15:17:18:20:22 SD: 10.0632 cents 14:15:17:19:21:23:25:28 SD: 6.2408 cents 19:21:23:26:29:31:34:38 SD: 6.0777 cents 20:22:24:27:30:33:36:40 S SD: 3.7767 cents 22:24:27:30:33:36:40:44 S SD: 3.4436 cents 28:31:34:38:42:46:51:56 SD: 3.2581 cents 33:36:40:45:50:54:60:66 SD: 3.2071 cents 41:45:50:56:62:67:74:82 SD: 3.0480 cents 42:46:51:57:63:69:76:84 SD: 0.3464 cents 178:195:216:242:267:292:322:356 SD: 0.3246 cents 220:241:267:299:330:361:398:440 SD: 0.2294 cents 262:287:318:356:393:430:474:524 SD: 0.1782 cents 304:333:369:413:456:499:550:608 SD: 0.1555 cents 346:379:420:470:519:568:626:692 SD: 0.1506 cents 402:440:488:546:603:660:727:804 SD: 0.1413 cents 444:486:539:603:666:729:803:888 SD: 0.1397 cents 516:565:626:701:774:847:933:1032 SD: 0.1248 cents 558:611:677:758:837:916:1009:1116 SD: 0.0984 cents 600:657:728:815:900:985:1085:1200 SD: 0.0800 cents