Scala analysis: Uganda_Ludaya_01
Ludaya 1 (Ludaya), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 291.000 cents 291.000000 2: 560.000 cents 560.000000 3: 776.000 cents 776.000000 4: 988.000 cents 988.000000 5: 1143.000 cents 1143.000000 6: 1308.000 cents 1308.000000 7: 1426.000 cents 1426.000000 8: 1581.000 cents 1581.000000
SHOW/INTERVAL
0: 155.0000 cents 155.0000 1: 291.0000 cents 291.0000 2: 269.0000 cents 269.0000 3: 216.0000 cents 216.0000 4: 212.0000 cents 212.0000 5: 155.0000 cents 155.0000 6: 165.0000 cents 165.0000 7: 118.0000 cents 118.0000 8: 155.0000 cents 155.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.00000 cents 1: 2 155.00000 cents 1: 1 165.00000 cents 1: 1 212.00000 cents 1: 1 216.00000 cents 1: 1 269.00000 cents 1: 1 291.00000 cents 2: 1 273.00000 cents 2: 1 283.00000 cents 2: 1 320.00000 cents 2: 1 367.00000 cents 2: 1 428.00000 cents 2: 1 446.00000 cents 2: 1 485.00000 cents 2: 1 560.00000 cents 3: 2 438.00000 cents 3: 1 532.00000 cents 3: 1 564.00000 cents 3: 1 583.00000 cents 3: 1 697.00000 cents 3: 1 715.00000 cents 3: 1 776.00000 cents 4: 1 593.00000 cents 4: 1 650.00000 cents 4: 1 729.00000 cents 4: 1 748.00000 cents 4: 1 833.00000 cents 4: 1 852.00000 cents 4: 1 931.00000 cents 4: 1 988.00000 cents 5: 1 805.00000 cents 5: 1 866.00000 cents 5: 1 884.00000 cents 5: 1 998.00000 cents 5: 1 1017.00000 cents 5: 1 1049.00000 cents 5: 2 1143.00000 cents 6: 1 1021.00000 cents 6: 1 1096.00000 cents 6: 1 1135.00000 cents 6: 1 1153.00000 cents 6: 1 1214.00000 cents 6: 1 1261.00000 cents 6: 1 1298.00000 cents 6: 1 1308.00000 cents 7: 1 1290.00000 cents 7: 1 1312.00000 cents 7: 1 1365.00000 cents 7: 1 1369.00000 cents 7: 1 1416.00000 cents 7: 2 1426.00000 cents 7: 1 1463.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.42857 = 52/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 291.0 560.0 776.0 988.0 1143.0 1308.0 1426.0 1581.0 291.0 : 269.0 485.0 697.0 852.0 1017.0 1135.0 1290.0 1581.0 560.0 : 216.0 428.0 583.0 748.0 866.0 1021.0 1312.0 1581.0 776.0 : 212.0 367.0 532.0 650.0 805.0 1096.0 1365.0 1581.0 988.0 : 155.0 320.0 438.0 593.0 884.0 1153.0 1369.0 1581.0 1143.0: 165.0 283.0 438.0 729.0 998.0 1214.0 1426.0 1581.0 1308.0: 118.0 273.0 564.0 833.0 1049.0 1261.0 1416.0 1581.0 1426.0: 155.0 446.0 715.0 931.0 1143.0 1298.0 1463.0 1581.0 1581.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.0000 .. 291.0000 cents 173.00000 cents 118.00000 cents 2: 273.0000 .. 560.0000 cents 287.00000 cents -18.00000 cents 3: 438.0000 .. 776.0000 cents 338.00000 cents -122.00000 cents 4: 593.0000 .. 988.0000 cents 395.00000 cents -183.00000 cents 5: 805.0000 .. 1143.0000 cents 338.00000 cents -183.00000 cents 6: 1021.0000 .. 1308.0000 cents 287.00000 cents -122.00000 cents 7: 1290.0000 .. 1463.0000 cents 173.00000 cents -18.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 118.00000 cents, class 1 Average step (divided formal octave): 197.6250 cents Largest one step interval : 291.00000 cents Average / Smallest step : 1.674788 Largest / Average step : 1.472486 Largest / Smallest step : 2.466102 Median interval of one step : 188.50000 cents, amount: 0 Most common interval of one step : 155.00000 cents, amount: 2 Least squares average step : 215.11765 cents, oct.: 1720.94118 cents Scale is not proper Scale is a mode of a 1581-tone equal temperament with octave 1581.000 cents degrees: 291 560 776 988 1143 1308 1426 1581 Least number of segments generator : 791 of 791.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1363 of 1363.000 cents and inv. generated superset size: 295 = 287 more = 3687.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGE Step pattern size order : GFEDBCAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 0.823931 Lumma stability : 0.149273 Lumma impropriety factor : 0.408602 Rothenberg efficiency : 0.267857 redundancy: 0.732143 Efficiency x scale size : 2.142857 Number of different interval sizes : 52 = 7.42857 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 7.42857 = 52/7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 2, average 706.0000 cents Number of appreciable fifths : 1, average 697.0000 cents Number of recognisable fourths : 1, average 485.0000 cents Number of appreciable fourths : 0 Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
8: 1 2 1 1 1 1 0 1 N T3 SD: 49.1627 c. M: 93.3750 c. 10: 2 1 2 1 1 1 1 1 N D3 SD: 40.2114 c. M: 85.7000 c. 11: 2 2 1 2 1 1 1 1 N SD: 23.0087 c. M: 57.3636 c. 13: 2 3 1 2 1 2 1 1 N SD: 37.6070 c. M: 48.4615 c. 14: 3 2 2 2 1 2 1 1 N SD: 30.6185 c. M:-47.7857 c. 16: 3 3 2 2 2 1 1 2 N SD: 26.2544 c. M:-42.7500 c. 17: 3 3 2 2 2 2 1 2 N SD: 27.9777 c. M: 58.0000 c. 18: 3 3 3 2 2 2 1 2 N SD: 19.5286 c. M: 33.0000 c. 21: 4 3 3 3 2 2 2 2 N SD: 18.7530 c. M: 33.0000 c. 22: 4 4 3 3 2 2 2 2 N SD: 12.0150 c. M:-18.0909 c. 29: 5 5 4 4 3 3 2 3 N SD: 10.2666 c. M: 18.4138 c. 33: 6 6 4 5 3 3 3 3 N SD: 11.3689 c. M:-18.0909 c. 37: 7 6 5 5 4 4 2 4 N SD: 10.0292 c. M:-16.6216 c. 39: 7 7 5 5 4 4 3 4 N SD: 8.6576 c. M: 15.0769 c. 40: 7 7 6 5 4 4 3 4 N SD: 7.8518 c. M:-14.5000 c. 43: 8 7 6 6 4 5 3 4 N SD: 7.3883 c. M:-15.6279 c. 47: 9 8 6 6 5 5 3 5 N SD: 8.8700 c. M: 13.1915 c. 48: 9 8 7 6 5 5 3 5 N SD: 8.0640 c. M:-14.5000 c. 51: 9 9 7 7 5 5 4 5 N SD: 5.2082 c. M: 12.0000 c. 53: 10 9 7 7 5 6 4 5 N SD: 5.6616 c. M: 9.4528 c. 59: 11 10 8 8 6 6 4 6 N SD: 4.7339 c. M:-9.2542 c. 65: 12 11 9 9 6 7 5 6 N SD: 5.0480 c. M:-9.2462 c. 70: 13 12 9 10 7 7 5 7 N SD: 5.2354 c. M:-8.8714 c. 71: 13 12 10 9 7 8 5 7 N SD: 4.7511 c. M: 8.2254 c. 80: 15 13 11 11 8 8 6 8 N SD: 4.1081 c. M: 6.6500 c. 81: 15 14 11 11 8 8 6 8 N SD: 4.9081 c. M:-8.5926 c. 82: 15 14 11 11 8 9 6 8 N SD: 3.3278 c. M: 5.4512 c. 93: 17 16 13 12 9 10 7 9 N SD: 2.8723 c. M:-6.0000 c. 94: 17 16 13 13 9 10 7 9 N SD: 3.5946 c. M: 5.0745 c. 98: 18 17 13 13 10 10 7 10 N SD: 3.3038 c. M: 6.3265 c. 102: 19 17 14 14 10 10 8 10 N SD: 3.2644 c. M: 6.0000 c. 104: 19 18 14 14 10 11 8 10 N SD: 1.8953 c. M:-2.9808 c. 141: 26 24 19 19 14 15 10 14 N SD: 1.8462 c. M:-3.8936 c. 152: 28 26 21 20 15 16 11 15 N SD: 1.8907 c. M:-4.0987 c. 163: 30 28 22 22 16 17 12 16 N SD: 1.2622 c. M:-2.5644 c. 173: 32 29 24 23 17 18 13 17 N SD: 1.2291 c. M: 2.5376 c. 224: 41 38 31 30 22 23 17 22 N SD: 1.3221 c. M: 2.4152 c. 232: 43 39 32 31 23 24 17 23 N SD: 1.2741 c. M:-2.0302 c. 245: 45 42 33 33 24 26 18 24 N SD: 1.1218 c. M:-1.9714 c. 267: 49 46 36 36 26 28 20 26 N SD: 1.0878 c. M:-2.5281 c. 277: 51 47 38 37 27 29 21 27 N SD: 0.7723 c. M: 1.4838 c. 314: 58 53 43 42 31 33 23 31 N SD: 0.8917 c. M: 1.1338 c. 336: 62 57 46 45 33 35 25 33 N SD: 0.3444 c. M:-0.7321 c. 440: 81 75 60 59 43 46 33 43 N SD: 0.2973 c. M:-0.5364 c. 613: 113 104 84 82 60 64 46 60 N SD: 0.3275 c. M: 0.4502 c. 754: 139 128 103 101 74 79 56 74 N SD: 0.2907 c. M:-0.4576 c. 776: 143 132 106 104 76 81 58 76 N SD: 0.1918 c. M:-0.3441 c. 805: 148 137 110 108 79 84 60 79 N SD: 0.1849 c. M: 0.3317 c. 968: 178 165 132 130 95 101 72 95 N SD: 0.2074 c. M:-0.2851 c. 1141: 210 194 156 153 112 119 85 112 N SD: 0.1147 c. M: 0.2068 c. 1245: 229 212 170 167 122 130 93 122 N SD: 0.0930 c. M: 0.1976 c. 1581: 291 269 216 212 155 165 118 155 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x x S SD: 57.0000 cents 2 x x 3 x 4 x x 5 S SD: 31.1981 cents 3 x 4 x 5:6 x 7 x S SD: 34.9100 cents 4:5 x 6:7:8 x 9:10 S SD: 22.7915 cents 5:6:7:8:9:10:11 x 12 S SD: 17.0117 cents 7:8:10:11:12:14:15:16:17 S SD: 15.4904 cents 9:11:12:14:16:17:19:21:22 SD: 13.6787 cents 10:12:14:16:18:19:21:23:25 SD: 9.0642 cents 11:13:15:17:19:21:23:25:27 SD: 8.8580 cents 12:14:17:19:21:23:26:27:30 SD: 8.7594 cents 13:15:18:20:23:25:28:30:32 SD: 8.1611 cents 14:17:19:22:25:27:30:32:35 SD: 7.4272 cents 16:19:22:25:28:31:34:36:40 SD: 4.0048 cents 21:25:29:33:37:41:45:48:52 SD: 3.3875 cents 26:31:36:41:46:50:55:59:65 SD: 3.2379 cents 32:38:44:50:57:62:68:73:80 SD: 2.1850 cents 39:46:54:61:69:75:83:89:97 SD: 1.6715 cents 44:52:61:69:78:85:94:100:110 SD: 1.5336 cents 55:65:76:86:97:106:117:125:137 SD: 1.3451 cents 60:71:83:94:106:116:128:137:150 SD: 1.0375 cents 65:77:90:102:115:126:138:148:162 SD: 1.0098 cents 78:92:108:122:138:151:166:178:194 SD: 0.9711 cents 87:103:120:136:154:168:185:198:217 SD: 0.8285 cents 92:109:127:144:163:178:196:210:229 SD: 0.6831 cents 108:128:149:169:191:209:230:246:269 SD: 0.5871 cents 126:149:174:197:223:244:268:287:314 SD: 0.4219 cents 170:201:235:266:301:329:362:387:424 SD: 0.3657 cents 186:220:257:291:329:360:396:424:464 SD: 0.2742 cents 230:272:318:360:407:445:490:524:573 SD: 0.2530 cents 262:310:362:410:464:507:558:597:653 SD: 0.2369 cents 290:343:401:454:513:561:617:661:723 SD: 0.2257 cents 311:368:430:487:550:602:662:709:775 SD: 0.2069 cents 327:387:452:512:579:633:696:745:815 SD: 0.1959 cents 343:406:474:537:607:664:730:782:855 SD: 0.1764 cents 382:452:528:598:676:739:813:871:952 SD: 0.1590 cents 398:471:550:623:704:770:847:907:992 SD: 0.1397 cents 481:569:665:753:851:931:1024:1096:1199 SD: 0.1201 cents 552:653:763:864:977:1068:1175:1258:1376 SD: 0.1085 cents 573:678:792:897:1014:1109:1220:1306:1428 SD: 0.0863 cents