Scala analysis: DR_Congo_Horn
Horn (Horns), DR Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 599.000 cents 599.000000 2: 813.000 cents 813.000000 3: 1011.000 cents 1011.000000 4: 1217.000 cents 1217.000000 5: 1510.000 cents 1510.000000
SHOW/INTERVAL
0: 293.0000 cents 293.0000 1: 599.0000 cents 599.0000 2: 214.0000 cents 214.0000 3: 198.0000 cents 198.0000 4: 206.0000 cents 206.0000 5: 293.0000 cents 293.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 198.00000 cents 1: 1 206.00000 cents 1: 1 214.00000 cents 1: 1 293.00000 cents 1: 1 599.00000 cents 2: 1 404.00000 cents 2: 1 412.00000 cents 2: 1 499.00000 cents 2: 1 813.00000 cents 2: 1 892.00000 cents 3: 1 618.00000 cents 3: 1 697.00000 cents 3: 1 1011.00000 cents 3: 1 1098.00000 cents 3: 1 1106.00000 cents 4: 1 911.00000 cents 4: 1 1217.00000 cents 4: 1 1296.00000 cents 4: 1 1304.00000 cents 4: 1 1312.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 599.0 813.0 1011.0 1217.0 1510.0 599.0 : 214.0 412.0 618.0 911.0 1510.0 813.0 : 198.0 404.0 697.0 1296.0 1510.0 1011.0: 206.0 499.0 1098.0 1312.0 1510.0 1217.0: 293.0 892.0 1106.0 1304.0 1510.0 1510.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 198.0000 .. 599.0000 cents 401.00000 cents 198.00000 cents 2: 404.0000 .. 892.0000 cents 488.00000 cents -195.00000 cents 3: 618.0000 .. 1106.0000 cents 488.00000 cents -274.00000 cents 4: 911.0000 .. 1312.0000 cents 401.00000 cents -195.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 198.00000 cents, class 1 Average step (divided formal octave): 302.0000 cents Largest one step interval : 599.00000 cents Average / Smallest step : 1.525253 Largest / Average step : 1.983444 Largest / Smallest step : 3.025253 Median interval of one step : 214.00000 cents, amount: 1 Least squares average step : 321.38182 cents, oct.: 1606.90909 cents Scale is not proper Scale is a mode of a 1510-tone equal temperament with octave 1510.000 cents degrees: 599 813 1011 1217 1510 Least number of segments generator : 757 of 757.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1163 of 1163.000 cents and inv. generated superset size: 160 = 155 more = 3200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ECABD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 19.00000 cents Scale diversity : 0.962549 Lumma stability : 0.262252 Lumma impropriety factor : 0.439735 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 8.00000 cents Number of recognisable fifths : 1, average 697.0000 cents Number of recognisable fourths : 1, average 499.0000 cents Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 2 1 0 1 1 N T3 SD: 62.8967 c. M: 105.0000 c. 6: 2 1 1 1 1 P M ME S SD: 53.3729 c. M: 95.6667 c. 7: 3 1 1 1 1 N M DE S SD: 55.3940 c. M:-77.2857 c. 9: 4 1 1 1 2 N SD: 39.2428 c. M:-72.1111 c. 10: 4 1 2 1 2 N T3 SD: 33.4245 c. M: 58.0000 c. 11: 4 2 1 2 2 N T3 SD: 33.0264 c. M: 50.0909 c. 13: 5 2 2 1 3 N SD: 30.3007 c. M: 55.4615 c. 15: 6 2 2 2 3 N SD: 6.0590 c. M: 9.0000 c. 46: 18 7 6 6 9 N SD: 5.9036 c. M: 8.1304 c. 48: 19 7 6 7 9 N SD: 5.3317 c. M:-9.8750 c. 52: 21 7 7 7 10 N SD: 5.5179 c. M:-10.8077 c. 58: 23 8 8 8 11 N SD: 4.4256 c. M:-6.6207 c. 61: 24 9 8 8 12 N SD: 3.7648 c. M: 4.9016 c. 63: 25 9 8 9 12 N SD: 3.2082 c. M:-5.3810 c. 76: 30 11 10 10 15 N SD: 2.8903 c. M: 5.0263 c. 78: 31 11 10 11 15 N SD: 2.3193 c. M: 4.3333 c. 93: 37 13 12 13 18 N SD: 2.1805 c. M: 4.3333 c. 113: 45 16 15 15 22 N SD: 2.5244 c. M:-4.5752 c. 119: 47 17 16 16 23 N SD: 2.2798 c. M:-4.1261 c. 124: 49 18 16 17 24 N SD: 1.6900 c. M:-2.8871 c. 139: 55 20 18 19 27 N SD: 1.0921 c. M:-1.7482 c. 154: 61 22 20 21 30 N SD: 0.8878 c. M: 1.1558 c. 212: 84 30 28 29 41 N SD: 0.7269 c. M: 1.0189 c. 227: 90 32 30 31 44 N SD: 0.6838 c. M: 1.4581 c. 330: 131 47 43 45 64 N SD: 0.7024 c. M:-1.4848 c. 345: 137 49 45 47 67 N SD: 0.5714 c. M:-1.0870 c. 351: 139 50 46 48 68 N SD: 0.5037 c. M: 1.0228 c. 360: 143 51 47 49 70 N SD: 0.5592 c. M:-0.8056 c. 366: 145 52 48 50 71 N SD: 0.3765 c. M: 0.7760 c. 381: 151 54 50 52 74 N SD: 0.4002 c. M: 0.5486 c. 494: 196 70 65 67 96 N SD: 0.3980 c. M:-0.7611 c. 542: 215 77 71 74 105 N SD: 0.3391 c. M:-0.5055 c. 557: 221 79 73 76 108 N SD: 0.1883 c. M:-0.2855 c. 572: 227 81 75 78 111 N SD: 0.1205 c. M:-0.2483 c. 784: 311 111 103 107 152 N SD: 0.1637 c. M:-0.2449 c. 923: 366 131 121 126 179 N SD: 0.1327 c. M: 0.2351 c. 938: 372 133 123 128 182 N SD: 0.0735 c. M: 0.1514 c. 1356: 538 192 178 185 263 N SD: 0.1008 c. M:-0.1313 c. 1495: 593 212 196 204 290 N SD: 0.0608 c. M:-0.0903 c. 1510: 599 214 198 206 293 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 x S SD: 17.0000 cents 2:3 x x 4:5 S SD: 43.0923 cents 3:4:5 x 6:7 S SD: 33.0086 cents 4:6 x 7:8:10 S SD: 33.9956 cents 5:7:8:9:10:12 SD: 5.0464 cents 29:41:46:52:59:69 SD: 4.2465 cents 32:45:51:57:65:77 SD: 4.2277 cents 33:47:53:59:67:79 SD: 3.6697 cents 34:48:54:61:69:81 SD: 3.2889 cents 38:54:61:68:77:91 SD: 2.6519 cents 43:61:69:77:87:103 SD: 1.9297 cents 48:68:77:86:97:115 SD: 1.4534 cents 53:75:85:95:107:127 SD: 1.2090 cents 58:82:93:104:117:139 SD: 1.1701 cents 82:116:131:147:166:196 SD: 0.9837 cents 87:123:139:156:176:208 SD: 0.7002 cents 92:130:147:165:186:220 SD: 0.5069 cents 97:137:155:174:196:232 SD: 0.4494 cents 140:198:224:251:283:335 SD: 0.4036 cents 145:205:232:260:293:347 SD: 0.2692 cents 150:212:240:269:303:359 SD: 0.2227 cents 242:342:387:434:489:579 SD: 0.1833 cents 247:349:395:443:499:591 SD: 0.1772 cents 392:554:627:703:792:938 SD: 0.1612 cents 459:649:734:823:927:1098 SD: 0.1472 cents 464:656:742:832:937:1110 SD: 0.1240 cents 469:663:750:841:947:1122 SD: 0.1230 cents 556:786:889:997:1123:1330 SD: 0.1185 cents 561:793:897:1006:1133:1342 SD: 0.1046 cents