Scala analysis: DR_Congo_Xylophone
Xylophone (Xylophone), DR Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 128.000 cents 128.000000 2: 317.000 cents 317.000000 3: 502.000 cents 502.000000 4: 699.000 cents 699.000000 5: 888.000 cents 888.000000 6: 1141.000 cents 1141.000000 7: 1345.000 cents 1345.000000 8: 1431.000 cents 1431.000000 9: 1604.000 cents 1604.000000 10: 1744.000 cents 1744.000000
SHOW/INTERVAL
0: 140.0000 cents 140.0000 1: 128.0000 cents 128.0000 2: 189.0000 cents 189.0000 3: 185.0000 cents 185.0000 4: 197.0000 cents 197.0000 5: 189.0000 cents 189.0000 6: 253.0000 cents 253.0000 7: 204.0000 cents 204.0000 8: 86.0000 cents 86.0000 9: 173.0000 cents 173.0000 10: 140.0000 cents 140.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 86.00000 cents 1: 1 128.00000 cents 1: 1 140.00000 cents 1: 1 173.00000 cents 1: 1 185.00000 cents 1: 2 189.00000 cents 1: 1 197.00000 cents 1: 1 204.00000 cents 1: 1 253.00000 cents 2: 1 259.00000 cents 2: 1 268.00000 cents 2: 1 290.00000 cents 2: 1 313.00000 cents 2: 1 317.00000 cents 2: 1 374.00000 cents 2: 1 382.00000 cents 2: 1 386.00000 cents 2: 1 442.00000 cents 2: 1 457.00000 cents 3: 1 399.00000 cents 3: 1 441.00000 cents 3: 1 457.00000 cents 3: 1 463.00000 cents 3: 1 502.00000 cents 3: 1 543.00000 cents 3: 2 571.00000 cents 3: 1 639.00000 cents 3: 1 646.00000 cents 4: 1 527.00000 cents 4: 1 603.00000 cents 4: 1 630.00000 cents 4: 1 642.00000 cents 4: 1 699.00000 cents 4: 1 716.00000 cents 4: 1 732.00000 cents 4: 1 760.00000 cents 4: 1 824.00000 cents 4: 1 843.00000 cents 5: 1 716.00000 cents 5: 1 731.00000 cents 5: 1 815.00000 cents 5: 1 839.00000 cents 5: 1 856.00000 cents 5: 1 888.00000 cents 5: 1 905.00000 cents 5: 1 929.00000 cents 5: 1 1013.00000 cents 5: 1 1028.00000 cents 6: 1 901.00000 cents 6: 1 920.00000 cents 6: 1 984.00000 cents 6: 1 1012.00000 cents 6: 1 1028.00000 cents 6: 1 1045.00000 cents 6: 1 1102.00000 cents 6: 1 1114.00000 cents 6: 1 1141.00000 cents 6: 1 1217.00000 cents 7: 1 1098.00000 cents 7: 1 1105.00000 cents 7: 2 1173.00000 cents 7: 1 1201.00000 cents 7: 1 1242.00000 cents 7: 1 1281.00000 cents 7: 1 1287.00000 cents 7: 1 1303.00000 cents 7: 1 1345.00000 cents 8: 1 1287.00000 cents 8: 1 1302.00000 cents 8: 1 1358.00000 cents 8: 1 1362.00000 cents 8: 1 1370.00000 cents 8: 1 1427.00000 cents 8: 1 1431.00000 cents 8: 1 1454.00000 cents 8: 1 1476.00000 cents 8: 1 1485.00000 cents 9: 1 1491.00000 cents 9: 1 1540.00000 cents 9: 1 1547.00000 cents 9: 2 1555.00000 cents 9: 1 1559.00000 cents 9: 1 1571.00000 cents 9: 1 1604.00000 cents 9: 1 1616.00000 cents 9: 1 1658.00000 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 9.55556 = 86/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 128.0 317.0 502.0 699.0 888.0 1141.0 1345.0 1431.0 1604.0 1744.0 128.0 : 189.0 374.0 571.0 760.0 1013.0 1217.0 1303.0 1476.0 1616.0 1744.0 317.0 : 185.0 382.0 571.0 824.0 1028.0 1114.0 1287.0 1427.0 1555.0 1744.0 502.0 : 197.0 386.0 639.0 843.0 929.0 1102.0 1242.0 1370.0 1559.0 1744.0 699.0 : 189.0 442.0 646.0 732.0 905.0 1045.0 1173.0 1362.0 1547.0 1744.0 888.0 : 253.0 457.0 543.0 716.0 856.0 984.0 1173.0 1358.0 1555.0 1744.0 1141.0: 204.0 290.0 463.0 603.0 731.0 920.0 1105.0 1302.0 1491.0 1744.0 1345.0: 86.0 259.0 399.0 527.0 716.0 901.0 1098.0 1287.0 1540.0 1744.0 1431.0: 173.0 313.0 441.0 630.0 815.0 1012.0 1201.0 1454.0 1658.0 1744.0 1604.0: 140.0 268.0 457.0 642.0 839.0 1028.0 1281.0 1485.0 1571.0 1744.0 1744.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 86.0000 .. 253.0000 cents 167.00000 cents 86.00000 cents 2: 259.0000 .. 457.0000 cents 198.00000 cents 6.00000 cents 3: 399.0000 .. 646.0000 cents 247.00000 cents -58.00000 cents 4: 527.0000 .. 843.0000 cents 316.00000 cents -119.00000 cents 5: 716.0000 .. 1028.0000 cents 312.00000 cents -127.00000 cents 6: 901.0000 .. 1217.0000 cents 316.00000 cents -127.00000 cents 7: 1098.0000 .. 1345.0000 cents 247.00000 cents -119.00000 cents 8: 1287.0000 .. 1485.0000 cents 198.00000 cents -58.00000 cents 9: 1491.0000 .. 1658.0000 cents 167.00000 cents 6.00000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 86.00000 cents, class 1 Average step (divided formal octave): 174.4000 cents Largest one step interval : 253.00000 cents Average / Smallest step : 2.027907 Largest / Average step : 1.450688 Largest / Smallest step : 2.941860 Median interval of one step : 187.00000 cents, amount: 0 Most common interval of one step : 189.00000 cents, amount: 2 Least squares average step : 179.45195 cents, oct.: 1794.51948 cents Scale is not proper Scale is a mode of a 1744-tone equal temperament with octave 1744.000 cents degrees: 128 317 502 699 888 1141 1345 1431 1604 1744 Least number of segments generator : 873 of 873.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1585 of 1585.000 cents and inv. generated superset size: 688 = 678 more = 6880.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDBEFGHI Step pattern size order : BFEGFIHADC Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 0.565645 Lumma stability : 0.105505 Lumma impropriety factor : 0.348624 Rothenberg efficiency : 0.217778 redundancy: 0.782222 Efficiency x scale size : 2.177778 Number of different interval sizes : 82 = 9.11111 / class Number of one step interval sizes : 9 Highest interval variety : 10 Mean interval variety : 9.55556 = 86/9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 710.3333 cents Number of appreciable fifths : 1, average 699.0000 cents Number of recognisable fourths : 1, average 502.0000 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 2 1 0 1 1 N T3 SD: 39.0188 c. M:-79.8000 c. 12: 1 1 1 2 1 2 1 1 1 1 N D3 SD: 29.5584 c. M: 66.0000 c. 14: 1 2 1 2 1 2 2 1 1 1 N SD: 33.4557 c. M:-63.8571 c. 15: 1 2 1 2 2 2 2 0 2 1 N SD: 30.2069 c. M:-50.2000 c. 17: 1 2 2 2 2 2 2 1 2 1 N SD: 20.4324 c. M:-37.4118 c. 22: 2 2 2 3 2 3 3 1 2 2 N SD: 18.5282 c. M: 31.1818 c. 23: 2 2 3 2 3 3 3 1 2 2 N SD: 17.2268 c. M:-28.7826 c. 26: 2 3 2 3 3 4 3 1 3 2 N SD: 17.4078 c. M: 32.4615 c. 27: 2 3 3 3 3 4 3 1 3 2 N SD: 12.1208 c. M:-21.6667 c. 35: 3 3 4 4 4 5 4 2 3 3 N SD: 10.9288 c. M:-21.4857 c. 38: 3 4 4 4 4 6 4 2 4 3 N SD: 8.9422 c. M: 16.0000 c. 43: 3 5 4 5 5 6 5 2 4 4 N SD: 10.6611 c. M: 22.2326 c. 45: 3 5 5 5 5 6 6 2 4 4 N SD: 9.2744 c. M: 17.0889 c. 49: 4 5 5 6 5 7 6 2 5 4 N SD: 7.2036 c. M:-14.3673 c. 55: 4 6 6 6 6 8 6 3 6 4 N SD: 6.3003 c. M: 13.2182 c. 57: 4 6 6 7 6 8 7 3 5 5 N SD: 7.9407 c. M: 12.9825 c. 60: 4 7 6 7 6 9 7 3 6 5 N SD: 8.1023 c. M: 16.0000 c. 61: 4 7 6 7 7 9 7 3 6 5 N SD: 7.9641 c. M: 15.9672 c. 62: 5 6 7 7 7 9 7 3 6 5 N SD: 7.6960 c. M:-12.6452 c. 63: 5 6 7 7 7 9 8 3 6 5 N SD: 7.5687 c. M: 12.4921 c. 65: 5 7 7 7 7 10 7 3 7 5 N SD: 6.4830 c. M:-12.7231 c. 66: 5 7 7 7 8 9 8 3 7 5 N SD: 6.1427 c. M: 11.9697 c. 67: 5 7 7 8 7 10 8 3 7 5 N SD: 5.4222 c. M:-9.8507 c. 73: 5 8 8 8 8 11 8 4 7 6 N SD: 5.1959 c. M: 8.5479 c. 79: 6 8 9 9 8 12 9 4 8 6 N SD: 5.6487 c. M: 7.9367 c. 82: 6 9 9 9 9 12 9 4 8 7 N SD: 5.5546 c. M: 8.8780 c. 83: 6 9 9 9 9 12 10 4 8 7 N SD: 4.1128 c. M: 7.0843 c. 84: 6 9 9 10 9 12 10 4 8 7 N SD: 4.2325 c. M:-6.9048 c. 95: 7 10 10 11 10 14 11 5 9 8 N SD: 4.3893 c. M: 6.8632 c. 100: 7 11 11 11 11 14 12 5 10 8 N SD: 3.5076 c. M: 7.4000 c. 104: 8 11 11 12 11 15 12 5 11 8 N SD: 3.8545 c. M:-6.1538 c. 110: 8 12 12 12 12 16 13 5 11 9 N SD: 2.5124 c. M:-5.3455 c. 122: 9 13 13 14 13 18 14 6 12 10 N SD: 1.8405 c. M: 2.9508 c. 188: 14 20 20 21 21 27 22 9 19 15 N SD: 1.7555 c. M: 3.2553 c. 202: 15 22 21 23 22 29 24 10 20 16 N SD: 1.5823 c. M:-2.4455 c. 214: 16 23 23 24 23 31 25 11 21 17 N SD: 1.8414 c. M:-3.3178 c. 222: 16 24 24 25 24 32 26 11 22 18 N SD: 1.5333 c. M: 2.7658 c. 249: 18 27 27 28 27 36 29 12 25 20 N SD: 1.4749 c. M:-2.2892 c. 257: 19 28 27 29 28 37 30 13 25 21 N SD: 1.2405 c. M: 2.5058 c. 275: 20 30 29 31 30 40 32 14 27 22 N SD: 1.0098 c. M:-2.2509 c. 296: 22 32 31 34 32 43 34 15 29 24 N SD: 1.4865 c. M:-2.1351 c. 297: 22 32 31 34 32 43 35 15 29 24 N SD: 1.3754 c. M: 2.8754 c. 301: 22 33 32 34 32 44 35 15 30 24 N SD: 1.2534 c. M:-2.0797 c. 302: 22 33 32 34 33 44 35 15 30 24 N SD: 1.1277 c. M:-2.4172 c. 310: 23 33 33 35 34 45 36 15 31 25 N SD: 1.2671 c. M: 2.0452 c. 312: 23 34 33 35 34 45 37 15 31 25 N SD: 0.9916 c. M:-2.1282 c. 324: 24 35 34 37 35 47 38 16 32 26 N SD: 0.7374 c. M: 1.4074 c. 385: 28 42 41 43 42 56 45 19 38 31 N SD: 0.6927 c. M: 1.4000 c. 397: 29 43 42 45 43 58 46 20 39 32 N SD: 0.8034 c. M: 1.2040 c. 407: 30 44 43 46 44 59 48 20 40 33 N SD: 0.7552 c. M: 1.4054 c. 424: 31 46 45 48 46 61 50 21 42 34 N SD: 0.5913 c. M: 1.6415 c. 434: 32 47 46 49 47 63 51 21 43 35 N SD: 0.5235 c. M:-1.1751 c. 462: 34 50 49 52 50 67 54 23 46 37 N SD: 0.6188 c. M: 1.1385 c. 489: 36 53 52 55 53 71 57 24 49 39 N SD: 0.5387 c. M:-0.9080 c. 546: 40 59 58 62 59 79 64 27 54 44 N SD: 0.4525 c. M: 0.7802 c. 709: 52 77 75 80 77 103 83 35 70 57 N SD: 0.3337 c. M:-0.6051 c. 813: 60 88 86 92 88 118 95 40 81 65 N SD: 0.3529 c. M:-0.7085 c. 848: 62 92 90 96 92 123 99 42 84 68 N SD: 0.3121 c. M: 0.4906 c. 896: 66 97 95 101 97 130 105 44 89 72 N SD: 0.2954 c. M:-0.4643 c. 931: 68 101 99 105 101 135 109 46 92 75 N SD: 0.3082 c. M: 0.6187 c. 980: 72 106 104 111 106 142 115 48 97 79 N SD: 0.2908 c. M: 0.5878 c. 1035: 76 112 110 117 112 150 121 51 103 83 N SD: 0.2286 c. M: 0.4145 c. 1198: 88 130 127 135 130 174 140 59 119 96 N SD: 0.2062 c. M:-0.3556 c. 1255: 92 136 133 142 136 182 147 62 124 101 N SD: 0.2099 c. M: 0.3538 c. 1310: 96 142 139 148 142 190 153 65 130 105 N SD: 0.1735 c. M: 0.3893 c. 1420: 104 154 151 160 154 206 166 70 141 114 N SD: 0.1682 c. M:-0.3211 c. 1542: 113 167 164 174 167 224 180 76 153 124 N SD: 0.2073 c. M: 0.3204 c. 1605: 118 174 170 181 174 233 188 79 159 129 N SD: 0.1932 c. M: 0.3134 c. 1622: 119 176 172 183 176 235 190 80 161 130 N SD: 0.1384 c. M:-0.2219 c. 1744: 128 189 185 197 189 253 204 86 173 140 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x x x 3 S SD: 84.3072 cents 2 x x x 3 x 4 x x 5 x S SD: 20.5549 cents 3 x x 4 x 5:6 x 7 x 8 S SD: 16.6235 cents 4 x 5 x 6:7:8 x 9:10:11 S SD: 18.0290 cents 5 x 6:7 x 8:10:11 x 13:14 SD: 20.1486 cents 6 x 7:8:9:10:12:13:14:15:16 S SD: 10.9906 cents 7 x 8:9:10:12:14:15:16:18:19 S SD: 17.8677 cents 8:9:10:11:12:13:15:17:18:20:22 SD: 14.4034 cents 9:10:11:12:13:15:17:20:21:23:25 SD: 11.4510 cents 10:11:12:13:15:17:19:22:23:25:27 SD: 8.3194 cents 12:13:14:16:18:20:23:26:27:30:33 SD: 6.3399 cents 14:15:17:19:21:23:27:30:32:35:38 SD: 5.6493 cents 15:16:18:20:22:25:29:33:34:38:41 SD: 4.7231 cents 24:26:29:32:36:40:46:52:55:61:66 SD: 2.6720 cents 30:32:36:40:45:50:58:65:69:76:82 SD: 2.2438 cents 36:39:43:48:54:60:70:78:82:91:99 SD: 2.1758 cents 39:42:47:52:58:65:75:85:89:99:107 SD: 1.9864 cents 48:52:58:64:72:80:93:104:110:121:131 SD: 1.9670 cents 50:54:60:67:75:84:97:109:114:126:137 SD: 1.5917 cents 54:58:65:72:81:90:104:117:123:136:148 SD: 1.4622 cents 63:68:76:84:94:105:122:137:144:159:173 SD: 1.3446 cents 64:69:77:86:96:107:124:139:146:162:175 SD: 1.3042 cents 65:70:78:87:97:109:126:141:149:164:178 SD: 1.2891 cents 66:71:79:88:99:110:128:144:151:167:181 SD: 1.2546 cents 69:74:83:92:103:115:133:150:158:174:189 SD: 1.2509 cents 74:80:89:99:111:124:143:161:169:187:203 SD: 1.0601 cents 80:86:96:107:120:134:155:174:183:202:219 SD: 0.8039 cents 103:111:124:138:154:172:199:224:235:260:282 SD: 0.7588 cents 104:112:125:139:156:174:201:226:238:263:285 SD: 0.5750 cents 119:128:143:159:178:199:230:259:272:301:326 SD: 0.4665 cents 155:167:186:207:232:259:300:337:354:391:424 SD: 0.4498 cents 169:182:203:226:253:282:327:368:386:427:463 SD: 0.3804 cents 179:193:215:239:268:299:346:389:409:452:490 SD: 0.3220 cents 209:225:251:279:313:349:404:455:478:528:572 SD: 0.3129 cents 223:240:268:298:334:372:431:485:510:563:611 SD: 0.3071 cents 249:268:299:333:373:416:481:542:569:629:682 SD: 0.2610 cents 273:294:328:365:409:456:528:594:624:690:748 SD: 0.2490 cents 285:307:342:381:427:476:551:620:651:720:780 SD: 0.2473 cents 288:310:346:385:431:481:557:626:658:727:789 SD: 0.2360 cents 298:321:358:398:446:498:576:648:681:753:816 SD: 0.2129 cents 339:365:407:453:508:566:655:737:775:856:928 SD: 0.1950 cents 354:381:425:473:530:591:684:770:809:894:969 SD: 0.1639 cents 378:407:454:505:566:631:731:822:864:955:1035 SD: 0.1447 cents 428:461:514:572:641:715:827:931:978:1081:1172 SD: 0.1140 cents 458:493:550:612:686:765:885:996:1047:1157:1254 SD: 0.1115 cents 597:643:717:798:894:997:1154:1298:1364:1508:1635 SD: 0.0998 cents