Scala analysis: Uganda_Royal_Xylophone
Royal Xylophone (Xylophone), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.000 cents 203.000000 2: 396.000 cents 396.000000 3: 698.000 cents 698.000000 4: 1006.000 cents 1006.000000 5: 1215.000 cents 1215.000000 6: 1421.000 cents 1421.000000
SHOW/INTERVAL
0: 206.0000 cents 206.0000 1: 203.0000 cents 203.0000 2: 193.0000 cents 193.0000 3: 302.0000 cents 302.0000 4: 308.0000 cents 308.0000 5: 209.0000 cents 209.0000 6: 206.0000 cents 206.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 193.00000 cents 1: 1 203.00000 cents 1: 1 206.00000 cents 1: 1 209.00000 cents 1: 1 302.00000 cents 1: 1 308.00000 cents 2: 1 396.00000 cents 2: 1 409.00000 cents 2: 1 415.00000 cents 2: 1 495.00000 cents 2: 1 517.00000 cents 2: 1 610.00000 cents 3: 1 602.00000 cents 3: 1 618.00000 cents 3: 1 698.00000 cents 3: 1 723.00000 cents 3: 1 803.00000 cents 3: 1 819.00000 cents 4: 1 811.00000 cents 4: 1 904.00000 cents 4: 1 926.00000 cents 4: 1 1006.00000 cents 4: 1 1012.00000 cents 4: 1 1025.00000 cents 5: 1 1113.00000 cents 5: 1 1119.00000 cents 5: 1 1212.00000 cents 5: 1 1215.00000 cents 5: 1 1218.00000 cents 5: 1 1228.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 203.0 396.0 698.0 1006.0 1215.0 1421.0 203.0 : 193.0 495.0 803.0 1012.0 1218.0 1421.0 396.0 : 302.0 610.0 819.0 1025.0 1228.0 1421.0 698.0 : 308.0 517.0 723.0 926.0 1119.0 1421.0 1006.0: 209.0 415.0 618.0 811.0 1113.0 1421.0 1215.0: 206.0 409.0 602.0 904.0 1212.0 1421.0 1421.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 193.0000 .. 308.0000 cents 115.00000 cents 193.00000 cents 2: 396.0000 .. 610.0000 cents 214.00000 cents 88.00000 cents 3: 602.0000 .. 819.0000 cents 217.00000 cents -8.00000 cents 4: 811.0000 .. 1025.0000 cents 214.00000 cents -8.00000 cents 5: 1113.0000 .. 1228.0000 cents 115.00000 cents 88.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 193.00000 cents, class 1 Average step (divided formal octave): 236.8333 cents Largest one step interval : 308.00000 cents Average / Smallest step : 1.227116 Largest / Average step : 1.300493 Largest / Smallest step : 1.595855 Median interval of one step : 207.50000 cents, amount: 0 Least squares average step : 238.61538 cents, oct.: 1431.69231 cents Scale is not proper Scale is a mode of a 1421-tone equal temperament with octave 1421.000 cents degrees: 203 396 698 1006 1215 1421 Least number of segments generator : 711 of 711.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1231 of 1231.000 cents and inv. generated superset size: 275 = 269 more = 4583.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : BAEFDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.00000 cents Scale diversity : 1.029166 Lumma stability : 0.395496 Lumma impropriety factor : 0.011260 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 1, average 698.0000 cents Number of recognisable fourths : 1, average 495.0000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 44.2070 c. M:-77.6667 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 1 1 P M ME SD: 36.7673 c. M: 89.0000 c. 8: 1 1 2 2 1 1 N D3 I SD: 33.7538 c. M:-59.7500 c. 11: 2 1 2 3 1 2 P D3 SD: 39.4668 c. M:-55.3636 c. 12: 1 2 3 2 2 2 P T3 SD: 47.1940 c. M: 84.5833 c. Raga Bhavani 13: 2 2 2 3 2 2 SP M ME SD: 27.0004 c. M: 42.1538 c. Glacial-6 14: 2 2 3 3 2 2 P D3 I SD: 7.5966 c. M:-12.5000 c. 35: 5 5 7 8 5 5 P SD: 6.4658 c. M:-10.0000 c. 47: 7 6 10 10 7 7 P SD: 5.6348 c. M:-8.6383 c. 49: 7 7 10 11 7 7 P SD: 5.6862 c. M:-10.0000 c. 55: 8 7 12 12 8 8 N SD: 3.8378 c. M: 8.4545 c. 61: 9 8 13 13 9 9 P SD: 3.5819 c. M:-6.6557 c. 69: 10 9 15 15 10 10 N SD: 2.7509 c. M: 4.7101 c. 83: 12 11 18 18 12 12 N SD: 2.6975 c. M:-4.1084 c. 90: 13 12 19 20 13 13 N SD: 2.5246 c. M:-4.4889 c. 104: 15 14 22 23 15 15 N SD: 2.3199 c. M:-5.0962 c. 112: 16 15 24 24 17 16 N SD: 2.2307 c. M: 3.6875 c. 118: 17 16 25 26 17 17 N SD: 2.5056 c. M:-5.5593 c. 126: 18 17 27 27 19 18 N SD: 1.6988 c. M:-3.0000 c. 140: 20 19 30 30 21 20 N SD: 1.6262 c. M:-3.0000 c. 147: 21 20 31 32 22 21 N SD: 1.5031 c. M:-3.0000 c. 161: 23 22 34 35 24 23 N SD: 1.3512 c. M:-3.0000 c. 175: 25 24 37 38 26 25 N SD: 1.4951 c. M:-3.0000 c. 177: 25 24 38 38 26 26 N SD: 2.0771 c. M: 2.7345 c. 179: 26 24 38 39 26 26 N SD: 1.7209 c. M:-3.4022 c. 187: 27 25 40 40 28 27 N SD: 1.6328 c. M: 2.9412 c. 191: 27 26 41 41 28 28 N SD: 1.6922 c. M: 2.3141 c. 194: 28 26 41 42 29 28 N SD: 1.6502 c. M: 2.5103 c. 195: 28 26 42 42 29 28 N SD: 1.5128 c. M: 2.4923 c. 198: 28 27 42 43 29 29 N SD: 1.6001 c. M: 2.1263 c. 201: 29 27 43 43 30 29 N SD: 1.4772 c. M: 2.1095 c. 202: 29 27 43 44 30 29 N SD: 1.3962 c. M: 2.0594 c. 208: 30 28 44 45 31 30 N SD: 1.2471 c. M:-1.9519 c. 212: 30 29 45 46 31 31 N SD: 1.1761 c. M: 1.9151 c. 216: 31 29 46 47 32 31 N SD: 1.1170 c. M:-2.0602 c. 222: 32 30 47 48 33 32 N SD: 1.0536 c. M:-1.8288 c. 226: 32 31 48 49 33 33 N SD: 0.9549 c. M: 1.7965 c. 236: 34 32 50 51 35 34 N SD: 1.0782 c. M:-1.7203 c. 240: 34 33 51 52 35 35 N SD: 0.9647 c. M: 1.6917 c. 254: 36 35 54 55 37 37 N SD: 1.1360 c. M: 1.5984 c. 261: 37 36 55 57 38 38 N SD: 1.1565 c. M: 1.5556 c. 273: 39 37 58 59 40 40 N SD: 1.1017 c. M: 2.2051 c. 277: 40 37 59 60 41 40 N SD: 1.0681 c. M:-2.1986 c. 281: 40 38 60 61 41 41 N SD: 0.9002 c. M: 1.5587 c. 287: 41 39 61 62 42 42 N SD: 0.8800 c. M: 1.9512 c. 295: 42 40 63 64 43 43 N SD: 0.7669 c. M: 1.1288 c. 309: 44 42 66 67 45 45 N SD: 0.7993 c. M:-1.1165 c. 330: 47 45 70 72 48 48 N SD: 0.7825 c. M:-1.6182 c. 338: 48 46 72 73 50 49 N SD: 0.7721 c. M: 1.2101 c. 352: 50 48 75 76 52 51 N SD: 0.6173 c. M: 1.1534 c. 366: 52 50 78 79 54 53 N SD: 0.6046 c. M: 1.1093 c. 373: 53 51 79 81 55 54 N SD: 0.5863 c. M: 1.0885 c. 387: 55 53 82 84 57 56 N SD: 0.5299 c. M: 1.0491 c. 401: 57 55 85 87 59 58 N SD: 0.6052 c. M: 1.0125 c. 405: 58 55 86 88 59 59 N SD: 0.6464 c. M: 1.0099 c. 413: 59 56 88 89 61 60 N SD: 0.6131 c. M: 1.3220 c. 420: 60 57 89 91 62 61 N SD: 0.6532 c. M: 1.1500 c. 421: 60 57 90 91 62 61 N SD: 0.5671 c. M: 1.0903 c. 427: 61 58 91 92 63 62 N SD: 0.5480 c. M: 0.9836 c. 428: 61 58 91 93 63 62 N SD: 0.5298 c. M: 0.9089 c. 434: 62 59 92 94 64 63 N SD: 0.4358 c. M: 0.8226 c. 442: 63 60 94 96 65 64 N SD: 0.3634 c. M: 0.5633 c. 448: 64 61 95 97 66 65 N SD: 0.3069 c. M: 0.5156 c. 503: 72 68 107 109 74 73 N SD: 0.3118 c. M: 0.4930 c. 517: 74 70 110 112 76 75 N SD: 0.1983 c. M:-0.3926 c. 778: 111 106 165 169 114 113 N SD: 0.3094 c. M: 0.3920 c. 833: 119 113 177 181 122 121 N SD: 0.2980 c. M:-0.4706 c. 847: 121 115 180 184 124 123 N SD: 0.2920 c. M:-0.6116 c. 869: 124 118 185 188 128 126 N SD: 0.2264 c. M: 0.3441 c. 876: 125 119 186 190 129 127 N SD: 0.2558 c. M: 0.4772 c. 883: 126 120 188 191 130 128 N SD: 0.2198 c. M:-0.4304 c. 890: 127 121 189 193 131 129 N SD: 0.1551 c. M: 0.2730 c. 904: 129 123 192 196 133 131 N SD: 0.1134 c. M: 0.2246 c. 1407: 201 191 299 305 207 204 N SD: 0.0756 c. M: 0.1244 c. 1421: 203 193 302 308 209 206 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x S SD: 15.0000 cents 2 x x 3 x 4:5 S SD: 55.3467 cents 3 x 4 x 5:6:7 S SD: 41.4871 cents 4 x 5:6:7:8:9 S SD: 8.9631 cents 5 x 6:7:9:10:11 SD: 30.5221 cents 6:7:8:9:11:12:14 SD: 22.8022 cents 7:8:9:10:13:14:16 SD: 19.3282 cents 8:9:10:12:14:16:18 S SD: 7.4708 cents 15:17:19:22:27:30:34 SD: 7.3831 cents 16:18:20:24:29:32:36 SD: 5.7331 cents 23:26:29:34:41:46:52 SD: 4.9914 cents 24:27:30:36:43:48:55 SD: 3.9560 cents 32:36:40:48:57:65:73 SD: 3.0699 cents 38:43:48:57:68:77:86 SD: 2.9686 cents 39:44:49:58:70:79:89 SD: 2.8986 cents 40:45:50:60:72:81:91 SD: 2.8444 cents 42:47:53:63:75:85:95 SD: 2.5140 cents 47:53:59:70:84:95:107 SD: 1.8452 cents 55:62:69:82:98:111:125 SD: 1.7514 cents 58:65:73:87:104:117:132 SD: 1.5387 cents 62:70:78:93:111:125:141 SD: 1.4583 cents 66:74:83:99:118:133:150 SD: 1.1103 cents 89:100:112:133:159:180:202 SD: 1.0111 cents 105:118:132:157:188:212:239 SD: 0.7410 cents 113:127:142:169:202:228:257 SD: 0.3648 cents 217:244:273:325:388:438:493 SD: 0.3597 cents 241:271:303:361:431:486:548 SD: 0.3559 cents 250:281:314:374:447:504:568 SD: 0.3458 cents 264:297:332:395:472:533:600 SD: 0.3094 cents 272:306:342:407:486:549:618 SD: 0.3014 cents 280:315:352:419:501:565:636 SD: 0.2931 cents 288:324:362:431:515:581:654 SD: 0.2455 cents 330:371:415:494:590:666:750 SD: 0.1988 cents 393:442:494:588:703:793:893 SD: 0.1780 cents 401:451:504:600:717:809:911 SD: 0.1197 cents 467:525:587:699:835:942:1061 SD: 0.0924 cents 580:652:729:868:1037:1170:1318 SD: 0.0795 cents