Scala analysis: DR_Congo_Marimba_03
Marimba 3 (Marimba), DR Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 218.000 cents 218.000000 2: 495.000 cents 495.000000 3: 820.000 cents 820.000000 4: 1038.000 cents 1038.000000 5: 1185.000 cents 1185.000000 6: 1447.000 cents 1447.000000 7: 1695.000 cents 1695.000000 8: 2020.000 cents 2020.000000 9: 2238.000 cents 2238.000000 10: 2385.000 cents 2385.000000
SHOW/INTERVAL
0: 147.0000 cents 147.0000 1: 218.0000 cents 218.0000 2: 277.0000 cents 277.0000 3: 325.0000 cents 325.0000 4: 218.0000 cents 218.0000 5: 147.0000 cents 147.0000 6: 262.0000 cents 262.0000 7: 248.0000 cents 248.0000 8: 325.0000 cents 325.0000 9: 218.0000 cents 218.0000 10: 147.0000 cents 147.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 147.00000 cents 1: 3 218.00000 cents 1: 1 248.00000 cents 1: 1 262.00000 cents 1: 1 277.00000 cents 1: 2 325.00000 cents 2: 3 365.00000 cents 2: 1 409.00000 cents 2: 1 495.00000 cents 2: 1 510.00000 cents 2: 2 543.00000 cents 2: 1 573.00000 cents 2: 1 602.00000 cents 3: 1 583.00000 cents 3: 1 627.00000 cents 3: 1 642.00000 cents 3: 1 657.00000 cents 3: 2 690.00000 cents 3: 1 791.00000 cents 3: 2 820.00000 cents 3: 1 835.00000 cents 4: 1 860.00000 cents 4: 1 875.00000 cents 4: 1 908.00000 cents 4: 1 938.00000 cents 4: 1 952.00000 cents 4: 2 967.00000 cents 4: 1 982.00000 cents 4: 1 1038.00000 cents 4: 1 1053.00000 cents 5: 1 1156.00000 cents 5: 4 1185.00000 cents 5: 4 1200.00000 cents 5: 1 1229.00000 cents 6: 1 1332.00000 cents 6: 1 1347.00000 cents 6: 1 1403.00000 cents 6: 2 1418.00000 cents 6: 1 1433.00000 cents 6: 1 1447.00000 cents 6: 1 1477.00000 cents 6: 1 1510.00000 cents 6: 1 1525.00000 cents 7: 1 1550.00000 cents 7: 2 1565.00000 cents 7: 1 1594.00000 cents 7: 2 1695.00000 cents 7: 1 1728.00000 cents 7: 1 1743.00000 cents 7: 1 1758.00000 cents 7: 1 1802.00000 cents 8: 1 1783.00000 cents 8: 1 1812.00000 cents 8: 2 1842.00000 cents 8: 1 1875.00000 cents 8: 1 1890.00000 cents 8: 1 1976.00000 cents 8: 3 2020.00000 cents 9: 2 2060.00000 cents 9: 1 2108.00000 cents 9: 1 2123.00000 cents 9: 1 2137.00000 cents 9: 3 2167.00000 cents 9: 2 2238.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 7.11111 = 64/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 218.0 495.0 820.0 1038.0 1185.0 1447.0 1695.0 2020.0 2238.0 2385.0 218.0 : 277.0 602.0 820.0 967.0 1229.0 1477.0 1802.0 2020.0 2167.0 2385.0 495.0 : 325.0 543.0 690.0 952.0 1200.0 1525.0 1743.0 1890.0 2108.0 2385.0 820.0 : 218.0 365.0 627.0 875.0 1200.0 1418.0 1565.0 1783.0 2060.0 2385.0 1038.0: 147.0 409.0 657.0 982.0 1200.0 1347.0 1565.0 1842.0 2167.0 2385.0 1185.0: 262.0 510.0 835.0 1053.0 1200.0 1418.0 1695.0 2020.0 2238.0 2385.0 1447.0: 248.0 573.0 791.0 938.0 1156.0 1433.0 1758.0 1976.0 2123.0 2385.0 1695.0: 325.0 543.0 690.0 908.0 1185.0 1510.0 1728.0 1875.0 2137.0 2385.0 2020.0: 218.0 365.0 583.0 860.0 1185.0 1403.0 1550.0 1812.0 2060.0 2385.0 2238.0: 147.0 365.0 642.0 967.0 1185.0 1332.0 1594.0 1842.0 2167.0 2385.0 2385.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 147.0000 .. 325.0000 cents 178.00000 cents 147.00000 cents 2: 365.0000 .. 602.0000 cents 237.00000 cents 40.00000 cents 3: 583.0000 .. 835.0000 cents 252.00000 cents -19.00000 cents 4: 860.0000 .. 1053.0000 cents 193.00000 cents 25.00000 cents 5: 1156.0000 .. 1229.0000 cents 73.00000 cents 103.00000 cents 6: 1332.0000 .. 1525.0000 cents 193.00000 cents 103.00000 cents 7: 1550.0000 .. 1802.0000 cents 252.00000 cents 25.00000 cents 8: 1783.0000 .. 2020.0000 cents 237.00000 cents -19.00000 cents 9: 2060.0000 .. 2238.0000 cents 178.00000 cents 40.00000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 147.00000 cents, class 1 Average step (divided formal octave): 238.5000 cents Largest one step interval : 325.00000 cents Average / Smallest step : 1.622449 Largest / Average step : 1.362683 Largest / Smallest step : 2.210884 Median interval of one step : 233.00000 cents, amount: 0 Most common interval of one step : 218.00000 cents, amount: 3 Least squares average step : 245.30909 cents, oct.: 2453.09091 cents Scale is not proper Scale is a mode of a 2385-tone equal temperament with octave 2385.000 cents degrees: 218 495 820 1038 1185 1447 1695 2020 2238 2385 Least number of segments generator : 1193 of 1193.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 2107 of 2107.000 cents and inv. generated superset size: 536 = 526 more = 5360.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCADEFCAD Step pattern size order : BEFBADCFBA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity :-0.050577 Lumma stability : 0.264151 Lumma impropriety factor : 0.015933 Rothenberg efficiency : 0.259841 redundancy: 0.740159 Efficiency x scale size : 2.598413 Number of different interval sizes : 64 = 7.11111 / class Number of one step interval sizes : 6 Highest interval variety : 9 Mean interval variety : 7.11111 = 64/9 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 10.00000 cents Most common intervals : 1185.00000 cents & inv., amount: 4 Most common triad is 0.0 1200.000 2238.000 cents, amount: 1 Number of recognisable fifths : 2, average 690.0000 cents Number of recognisable fourths : 2, average 502.5000 cents Formal octave complements present : 1 = 10.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 63.7175 c. M: 112.0000 c. 11: 1 1 2 1 0 2 1 1 1 1 N D3 SD: 58.7029 c. M: 100.9091 c. 12: 1 1 2 1 1 1 1 2 1 1 P B ME I SD: 55.1212 c. M: 105.0000 c. Symmetrical Decatonic 14: 1 2 2 1 1 1 2 2 1 1 N B D3 S SD: 34.8353 c. M: 84.1429 c. 17: 1 2 3 1 1 2 2 2 2 1 N SD: 49.2950 c. M: 77.7059 c. 18: 2 2 2 2 1 2 2 2 2 1 SP B ME S SD: 25.9466 c. M:-47.0000 c. Octokaidecal-10 20: 2 2 3 2 1 2 2 3 2 1 P B D3 SD: 19.9737 c. M:-35.2500 c. 28: 3 3 4 2 2 3 3 4 2 2 P B SD: 20.4821 c. M:-37.5357 c. 30: 3 3 4 3 2 3 3 4 3 2 SP B D3 SD: 18.8474 c. M: 32.5000 c. 32: 3 4 4 3 2 3 4 4 3 2 P B D3 S SD: 14.8945 c. M: 30.9062 c. 34: 3 4 5 3 2 4 3 5 3 2 N SD: 13.6575 c. M:-26.0882 c. 44: 4 5 6 4 3 5 4 6 4 3 P SD: 10.7830 c. M:-16.5227 c. 52: 5 6 7 5 3 6 5 7 5 3 P SD: 10.5659 c. M:-20.6923 c. 53: 5 6 7 5 3 6 6 7 5 3 P SD: 9.0885 c. M: 15.0000 c. 58: 5 7 8 5 4 6 6 8 5 4 N SD: 8.8979 c. M: 17.4828 c. 64: 6 7 9 6 4 7 6 9 6 4 P SD: 8.1078 c. M: 18.0469 c. 66: 6 8 9 6 4 7 7 9 6 4 N SD: 6.5805 c. M:-11.1364 c. 76: 7 9 10 7 5 8 8 10 7 5 P SD: 6.1339 c. M: 11.5789 c. 87: 8 10 12 8 5 10 9 12 8 5 N SD: 5.4050 c. M:-9.9310 c. 96: 9 11 13 9 6 10 10 13 9 6 P SD: 5.0191 c. M: 7.6563 c. 97: 9 11 13 9 6 11 10 13 9 6 P SD: 4.2122 c. M: 8.6082 c. 110: 10 13 15 10 7 12 11 15 10 7 N SD: 4.2007 c. M:-7.5000 c. 111: 10 13 15 10 7 12 12 15 10 7 N SD: 3.8727 c. M: 7.4054 c. 117: 11 13 16 11 7 13 12 16 11 7 P SD: 3.6754 c. M:-6.2308 c. 131: 12 15 18 12 8 14 14 18 12 8 N SD: 3.1166 c. M: 8.7176 c. 143: 13 17 19 13 9 16 15 19 13 9 N SD: 3.4879 c. M:-6.1888 c. 145: 13 17 20 13 9 16 15 20 13 9 N SD: 2.0264 c. M: 4.1724 c. 163: 15 19 22 15 10 18 17 22 15 10 N SD: 1.3542 c. M:-2.4847 c. 274: 25 32 37 25 17 30 29 37 25 17 N SD: 1.4832 c. M:-2.3540 c. 294: 27 34 40 27 18 32 31 40 27 18 N SD: 1.1105 c. M: 3.0204 c. 308: 28 36 42 28 19 34 32 42 28 19 N SD: 0.7403 c. M: 1.1818 c. 425: 39 49 58 39 26 47 44 58 39 26 N SD: 0.7378 c. M: 1.1647 c. 471: 43 55 64 43 29 52 49 64 43 29 N SD: 0.7203 c. M:-1.3376 c. 483: 44 56 66 44 30 53 50 66 44 30 N SD: 0.7996 c. M: 1.3043 c. 491: 45 57 67 45 30 54 51 67 45 30 N SD: 0.7795 c. M:-1.4908 c. 501: 46 58 68 46 31 55 52 68 46 31 N SD: 0.7378 c. M: 1.5569 c. 549: 50 64 75 50 34 60 57 75 50 34 N SD: 0.6355 c. M:-1.0656 c. 588: 54 68 80 54 36 65 61 80 54 36 N SD: 0.6543 c. M:-1.0357 c. 602: 55 70 82 55 37 66 63 82 55 37 N SD: 0.4470 c. M: 0.9452 c. 646: 59 75 88 59 40 71 67 88 59 40 N SD: 0.3893 c. M: 0.6780 c. 809: 74 94 110 74 50 89 84 110 74 50 N SD: 0.3380 c. M: 0.5624 c. 940: 86 109 128 86 58 103 98 128 86 58 N SD: 0.3441 c. M: 0.7766 c. 954: 87 111 130 87 59 105 99 130 87 59 N SD: 0.3162 c. M: 0.5000 c. 974: 89 113 133 89 60 107 101 133 89 60 N SD: 0.2530 c. M: 0.5236 c. 1103: 101 128 150 101 68 121 115 150 101 68 N SD: 0.2935 c. M: 0.4941 c. 1137: 104 132 155 104 70 125 118 155 104 70 N SD: 0.1890 c. M:-0.3615 c. 1248: 114 145 170 114 77 137 130 170 114 77 N SD: 0.1722 c. M: 0.3293 c. 1576: 144 183 215 144 97 173 164 215 144 97 N SD: 0.1735 c. M:-0.2887 c. 1739: 159 202 237 159 107 191 181 237 159 107 N SD: 0.1446 c. M:-0.2519 c. 2077: 190 241 283 190 128 228 216 283 190 128 N SD: 0.1098 c. M:-0.1753 c. 2222: 203 258 303 203 137 244 231 303 203 137 N SD: 0.0993 c. M: 0.1823 c. 2385: 218 277 325 218 147 262 248 325 218 147 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x 3 x 4 S SD: 39.9786 cents 2 x x 3 x 4 x 5:6:7:8 S SD: 35.3227 cents 3 x 4:5 x 6:7:8:10:11:12 S SD: 12.0394 cents 4 x 5:6:7:8:9:11:13:15:16 SD: 21.9312 cents 5:6:7:8:9:10:12:13:16:18:20 SD: 15.7891 cents 6:7:8:10:11:12:14:16:19:22:24 SD: 9.0826 cents 9:10:12:14:16:18:21:24:29:33:36 SD: 8.4157 cents 10:11:13:16:18:20:23:27:32:36:40 SD: 8.0390 cents 12:14:16:19:22:24:28:32:39:44:48 SD: 6.7296 cents 13:15:17:21:24:26:30:35:42:47:52 SD: 5.9858 cents 15:17:20:24:27:30:35:40:48:55:59 SD: 3.8262 cents 21:24:28:34:38:42:48:56:67:76:83 SD: 3.5874 cents 22:25:29:35:40:44:51:59:71:80:87 SD: 3.3588 cents 23:26:31:37:42:46:53:61:74:84:91 SD: 2.9161 cents 28:32:37:45:51:56:65:75:90:102:111 SD: 2.8206 cents 30:34:40:48:55:59:69:80:96:109:119 SD: 2.1755 cents 36:41:48:58:66:71:83:96:116:131:143 SD: 1.8988 cents 39:44:52:63:71:77:90:104:125:142:155 SD: 1.7053 cents 45:51:60:72:82:89:104:120:145:164:178 SD: 1.1929 cents 51:58:68:82:93:101:118:136:164:186:202 SD: 0.9715 cents 61:69:81:98:111:121:141:162:196:222:242 SD: 0.8651 cents 66:75:88:106:120:131:152:176:212:240:262 SD: 0.7874 cents 91:103:121:146:166:180:210:242:292:331:361 SD: 0.7425 cents 97:110:129:156:177:192:224:258:312:353:385 SD: 0.6748 cents 106:120:141:170:193:210:245:282:340:386:420 SD: 0.6262 cents 111:126:148:178:202:220:256:295:356:404:440 SD: 0.6009 cents 112:127:149:180:204:222:258:298:360:408:444 SD: 0.3396 cents 157:178:209:252:286:311:362:418:504:572:623 SD: 0.2569 cents 223:253:297:358:406:442:514:594:716:812:884 SD: 0.2568 cents 224:254:298:360:408:444:517:596:719:816:888 SD: 0.2461 cents 239:271:318:384:435:474:551:636:768:871:948 SD: 0.2435 cents 254:288:338:408:463:504:586:676:816:925:1007 SD: 0.2281 cents 269:305:358:432:490:533:621:716:864:980:1067 SD: 0.1992 cents 284:322:378:456:517:563:655:756:912:1035:1126 SD: 0.1459 cents 335:380:446:538:610:664:773:892:1076:1220:1328 SD: 0.1356 cents 408:463:543:655:743:809:941:1086:1310:1486:1618 SD: 0.1259 cents 411:466:547:660:749:815:948:1094:1320:1497:1630 SD: 0.1204 cents 447:507:595:718:814:886:1031:1190:1436:1628:1773 SD: 0.1066 cents 538:610:716:864:980:1067:1241:1432:1728:1960:2133 SD: 0.0905 cents 589:668:784:946:1073:1168:1359:1568:1892:2146:2336 SD: 0.0889 cents