Scala analysis: Gambia_Malinke_01
Malinke 1, Gambia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 356.000 cents 356.000000 3: 556.000 cents 556.000000 4: 698.000 cents 698.000000 5: 909.000 cents 909.000000 6: 1045.000 cents 1045.000000 7: 1205.000 cents 1205.000000
SHOW/INTERVAL
0: 160.0000 cents 160.0000 1: 200.0000 cents 200.0000 2: 156.0000 cents 156.0000 3: 200.0000 cents 200.0000 4: 142.0000 cents 142.0000 5: 211.0000 cents 211.0000 6: 136.0000 cents 136.0000 7: 160.0000 cents 160.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.00000 cents 1: 1 142.00000 cents 1: 1 156.00000 cents 1: 1 160.00000 cents 1: 2 200.00000 cents 1: 1 211.00000 cents 2: 1 296.00000 cents 2: 1 342.00000 cents 2: 1 347.00000 cents 2: 1 353.00000 cents 2: 2 356.00000 cents 2: 1 360.00000 cents 3: 1 489.00000 cents 3: 1 496.00000 cents 3: 1 498.00000 cents 3: 1 507.00000 cents 3: 1 516.00000 cents 3: 1 553.00000 cents 3: 1 556.00000 cents 4: 1 649.00000 cents 4: 1 652.00000 cents 4: 1 689.00000 cents 4: 1 698.00000 cents 4: 1 707.00000 cents 4: 1 709.00000 cents 4: 1 716.00000 cents 5: 1 845.00000 cents 5: 2 849.00000 cents 5: 1 852.00000 cents 5: 1 858.00000 cents 5: 1 863.00000 cents 5: 1 909.00000 cents 6: 1 994.00000 cents 6: 2 1005.00000 cents 6: 1 1045.00000 cents 6: 1 1049.00000 cents 6: 1 1063.00000 cents 6: 1 1069.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 200.0 356.0 556.0 698.0 909.0 1045.0 1205.0 200.0 : 156.0 356.0 498.0 709.0 845.0 1005.0 1205.0 356.0 : 200.0 342.0 553.0 689.0 849.0 1049.0 1205.0 556.0 : 142.0 353.0 489.0 649.0 849.0 1005.0 1205.0 698.0 : 211.0 347.0 507.0 707.0 863.0 1063.0 1205.0 909.0 : 136.0 296.0 496.0 652.0 852.0 994.0 1205.0 1045.0: 160.0 360.0 516.0 716.0 858.0 1069.0 1205.0 1205.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.0000 .. 211.0000 cents 75.00000 cents 136.00000 cents 2: 296.0000 .. 360.0000 cents 64.00000 cents 85.00000 cents 3: 489.0000 .. 556.0000 cents 67.00000 cents 129.00000 cents 4: 649.0000 .. 716.0000 cents 67.00000 cents 93.00000 cents 5: 845.0000 .. 909.0000 cents 64.00000 cents 129.00000 cents 6: 994.0000 .. 1069.0000 cents 75.00000 cents 85.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 136.00000 cents, class 1 Average step (divided formal octave): 172.1429 cents Largest one step interval : 211.00000 cents Average / Smallest step : 1.265756 Largest / Average step : 1.225726 Largest / Smallest step : 1.551471 Median interval of one step : 160.00000 cents, amount: 1 Most common interval of one step : 200.00000 cents, amount: 2 Least squares average step : 175.87143 cents, oct.: 1231.10000 cents Scale is strictly proper Scale is a mode of a 1205-tone equal temperament with octave 1205.000 cents degrees: 200 356 556 698 909 1045 1205 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 727 of 727.000 cents and inv. generated superset size: 320 = 313 more = 4571.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACDEF Step pattern size order : ECEBFAD Scale is a Constant Structure, by a margin of 85.00000 cents Scale diversity : 1.343600 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.658091 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 5, average 703.8000 cents Number of appreciable fifths : 4, average 700.7500 cents Number of recognisable fourths : 4, average 497.5000 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% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 67.0000 cents: 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 26.8514 c. M: 48.2857 c. Lebeng 12: 2 2 2 1 2 1 2 P D3 S SD: 29.1976 c. M:-46.5000 c. Lydian Dominant, Mela Vacaspati, Raga Bhusavati, Bhusavali, Vachaspati, Overtone, Lydian-Mixolydian, Bartok 13: 2 2 2 2 2 1 2 SP M ME S SD: 21.6893 c. M:-43.5385 c. Karakalian 16: 3 2 2 2 3 2 2 SP M ME S SD: 18.7034 c. M: 28.8125 c. Antiphrygian 17: 3 2 3 2 3 2 2 SP M ME S SD: 11.2755 c. M:-18.2353 c. Neutral Hypolydian, Mohajira-7 24: 4 3 4 3 4 3 3 SP M ME S SD: 4.9957 c. M:-9.3750 c. Neutral Hypolydian, Mohajira-7, Iced Lydian 50: 8 7 8 6 9 5 7 SP SD: 5.4474 c. M: 8.7000 c. 53: 9 7 9 6 9 6 7 SP SD: 6.3557 c. M:-12.3962 c. 54: 9 7 9 6 10 6 7 SP SD: 3.6552 c. M: 6.2407 c. 61: 10 8 10 7 11 7 8 SP SD: 2.9801 c. M: 6.6066 c. 74: 12 10 12 9 13 8 10 SP SD: 2.7501 c. M: 4.5946 c. 78: 13 10 13 9 14 9 10 SP SD: 2.5517 c. M:-5.5128 c. 85: 14 11 14 10 15 10 11 SP SD: 2.5413 c. M:-4.0588 c. 91: 15 12 15 11 16 10 12 SP SD: 2.4468 c. M:-4.6813 c. 97: 16 13 16 11 17 11 13 SP SD: 2.4215 c. M:-4.2577 c. 98: 16 13 16 12 17 11 13 SP SD: 1.9732 c. M: 3.2653 c. 102: 17 13 17 12 18 11 14 SP SD: 2.2128 c. M: 5.3922 c. 114: 19 15 19 13 20 13 15 SP SD: 2.1445 c. M:-4.2193 c. 119: 20 15 20 14 21 13 16 SP SD: 1.6818 c. M:-2.5210 c. 121: 20 16 20 14 21 14 16 SP SD: 1.6340 c. M: 2.7603 c. 126: 21 16 21 15 22 14 17 SP SD: 1.4115 c. M: 2.5794 c. 143: 24 18 24 17 25 16 19 SP SD: 1.3366 c. M:-2.2378 c. 180: 30 23 30 21 32 20 24 SP SD: 1.0652 c. M: 1.7778 c. 204: 34 26 34 24 36 23 27 SP SD: 0.8835 c. M: 1.5882 c. 240: 40 31 40 28 42 27 32 SP SD: 0.6713 c. M:-1.3125 c. 247: 41 32 41 29 43 28 33 SP SD: 0.7264 c. M: 1.5911 c. 264: 44 34 44 31 46 30 35 SP SD: 0.5454 c. M:-0.8561 c. 325: 54 42 54 38 57 37 43 SP SD: 0.4908 c. M: 0.9538 c. 338: 56 44 56 40 59 38 45 SP SD: 0.4099 c. M:-0.7574 c. 399: 66 52 66 47 70 45 53 SP SD: 0.3442 c. M: 0.6767 c. 416: 69 54 69 49 73 47 55 SP SD: 0.3576 c. M:-0.6851 c. 423: 70 55 70 50 74 48 56 SP SD: 0.3603 c. M: 0.5910 c. 518: 86 67 86 61 91 58 69 SP SD: 0.2947 c. M:-0.5656 c. 542: 90 70 90 64 95 61 72 SP SD: 0.1824 c. M:-0.3081 c. 663: 110 86 110 78 116 75 88 SP SD: 0.1491 c. M: 0.2519 c. 941: 156 122 156 111 165 106 125 SP SD: 0.1530 c. M: 0.2402 c. 1079: 179 140 179 127 189 122 143 SP SD: 0.1648 c. M:-0.3012 c. 1144: 190 148 190 135 200 129 152 SP SD: 0.1589 c. M:-0.3523 c. 1181: 196 153 196 139 207 133 157 SP SD: 0.1015 c. M: 0.1905 c. 1205: 200 156 200 142 211 136 160 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 5.0000 cents 2 x x x 3 x x 4 S SD: 3.1876 cents 3 x x 4 x 5 x 6 S SD: 21.0581 cents 4 x 5 x 6:7 x 8 S SD: 16.8425 cents 5 x 6:7 x 8:9:10 S SD: 22.0838 cents 6:7 x 8:9:10:11:12 S SD: 15.3635 cents 7:8:9:10 x 12:13:14 S SD: 18.5046 cents 8:9:10:11:12:14:15:16 S SD: 11.4714 cents 10:11:12:14:15:17:18:20 SD: 9.5201 cents 13:15:16:18:19:22:24:26 SD: 9.3961 cents 14:16:17:19:21:24:26:28 SD: 8.3891 cents 16:18:20:22:24:27:29:32 SD: 5.0396 cents 18:20:22:25:27:30:33:36 SD: 4.9735 cents 22:25:27:30:33:37:40:44 SD: 4.6077 cents 26:29:32:36:39:44:48:52 SD: 3.1949 cents 32:36:39:44:48:54:59:64 SD: 3.1011 cents 34:38:42:47:51:57:62:68 SD: 3.0216 cents 39:44:48:54:58:66:71:78 SD: 2.6817 cents 40:45:49:55:60:68:73:80 SD: 2.0452 cents 48:54:59:66:72:81:88:96 SD: 1.4860 cents 58:65:71:80:87:98:106:116 SD: 1.3191 cents 74:83:91:102:111:125:135:148 SD: 1.1594 cents 97:109:119:134:145:164:177:195 SD: 1.0428 cents 105:118:129:145:157:178:192:211 SD: 0.9897 cents 106:119:130:146:159:179:194:213 SD: 0.9181 cents 113:127:139:156:169:191:207:227 SD: 0.8278 cents 122:137:150:168:183:206:223:245 SD: 0.8187 cents 123:138:151:170:184:208:225:247 SD: 0.7106 cents 139:156:171:192:208:235:254:279 SD: 0.6540 cents 145:163:178:200:217:245:265:291 SD: 0.4773 cents 171:192:210:236:256:289:313:343 SD: 0.3672 cents 246:276:302:339:368:416:450:493 SD: 0.3349 cents 262:294:322:361:392:443:479:526 SD: 0.3333 cents 294:330:361:405:440:497:538:590 SD: 0.3066 cents 310:348:381:427:464:524:567:622 SD: 0.2964 cents 320:359:393:441:479:541:585:642 SD: 0.2045 cents 385:432:473:531:576:651:704:772 SD: 0.1802 cents 433:486:532:597:648:732:792:869 SD: 0.1653 cents 465:522:571:641:696:786:850:933 SD: 0.1639 cents 473:531:581:652:708:800:865:949 SD: 0.1524 cents 491:551:603:677:735:830:898:985 SD: 0.1078 cents