Scala analysis: Congo_Horns
Horns (Horns), Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 279.000 cents 279.000000 2: 562.000 cents 562.000000 3: 789.000 cents 789.000000 4: 980.000 cents 980.000000
SHOW/INTERVAL
0: 191.0000 cents 191.0000 1: 279.0000 cents 279.0000 2: 283.0000 cents 283.0000 3: 227.0000 cents 227.0000 4: 191.0000 cents 191.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 191.00000 cents 1: 1 227.00000 cents 1: 1 279.00000 cents 1: 1 283.00000 cents 2: 1 418.00000 cents 2: 1 470.00000 cents 2: 1 510.00000 cents 2: 1 562.00000 cents 3: 1 697.00000 cents 3: 1 701.00000 cents 3: 1 753.00000 cents 3: 1 789.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 279.0 562.0 789.0 980.0 279.0: 283.0 510.0 701.0 980.0 562.0: 227.0 418.0 697.0 980.0 789.0: 191.0 470.0 753.0 980.0 980.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 191.0000 .. 283.0000 cents 92.00000 cents 191.00000 cents 2: 418.0000 .. 562.0000 cents 144.00000 cents 135.00000 cents 3: 697.0000 .. 789.0000 cents 92.00000 cents 135.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 191.00000 cents, class 1 Average step (divided formal octave): 245.0000 cents Largest one step interval : 283.00000 cents Average / Smallest step : 1.282723 Largest / Average step : 1.155102 Largest / Smallest step : 1.481675 Median interval of one step : 253.00000 cents, amount: 0 Least squares average step : 256.33333 cents, oct.: 1025.33333 cents Scale is strictly proper Scale is a mode of a 980-tone equal temperament with octave 980.000 cents degrees: 279 562 789 980 Least number of segments generator : 491 of 491.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 657 of 657.000 cents and inv. generated superset size: 152 = 148 more = 3800.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : CDBA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 135.00000 cents Scale diversity : 1.723215 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.665306 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 2, average 699.0000 cents Number of recognisable fourths : 1, average 510.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 92.0000 cents: 2 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 48.1041 c. M: 72.0000 c. 5: 1 2 1 1 P M ME SD: 43.5603 c. M: 83.0000 c. 6: 2 1 2 1 SP B ME SD: 45.3364 c. M: 72.0000 c. Messiaen truncated mode 6 inverse 7: 2 2 2 1 SP M ME SD: 25.5245 c. M:-51.0000 c. 10: 3 3 2 2 SP D3 S SD: 15.2151 c. M:-26.0000 c. 14: 4 4 3 3 SP D3 S SD: 9.5656 c. M: 19.0000 c. 17: 5 5 4 3 SP SD: 12.4580 c. M:-18.0588 c. 21: 6 6 5 4 SP SD: 2.4381 c. M:-4.3333 c. 52: 15 15 12 10 SP SD: 2.8077 c. M:-3.6923 c. 56: 16 16 13 11 SP SD: 1.3463 c. M: 2.0000 c. 77: 22 22 18 15 SP SD: 1.1190 c. M: 2.0000 c. 108: 31 31 25 21 SP SD: 1.2064 c. M:-2.2963 c. 113: 32 33 26 22 SP SD: 1.1372 c. M:-1.7168 c. 129: 37 37 30 25 SP SD: 1.1767 c. M:-2.0853 c. 133: 38 38 31 26 SP SD: 1.1549 c. M: 2.0000 c. 134: 38 39 31 26 SP SD: 0.8941 c. M:-1.1343 c. 148: 42 43 34 29 SP SD: 0.7988 c. M: 1.0270 c. 169: 48 49 39 33 SP SD: 0.4464 c. M: 0.6568 c. 190: 54 55 44 37 SP SD: 0.2709 c. M: 0.4737 c. 246: 70 71 57 48 SP SD: 0.1955 c. M: 0.2927 c. 436: 124 126 101 85 SP SD: 0.1494 c. M: 0.2844 c. 457: 130 132 106 89 SP SD: 0.1569 c. M: 0.2254 c. 523: 149 151 121 102 SP SD: 0.1371 c. M:-0.1969 c. 544: 155 157 126 106 SP SD: 0.1198 c. M:-0.2279 c. 713: 203 206 165 139 SP SD: 0.0845 c. M:-0.1599 c. 734: 209 212 170 143 SP SD: 0.0655 c. M:-0.0981 c. 790: 225 228 183 154 SP SD: 0.0652 c. M:-0.1139 c. 959: 273 277 222 187 SP SD: 0.0534 c. M: 0.0949 c. 980: 279 283 227 191 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 220.0000 cents 2 x x 3:4 S SD: 118.2971 cents 3 x 4:5 x S SD: 57.4098 cents 4:5 x 6:7 S SD: 46.2096 cents 5:6:7:8:9 H SD: 15.3831 cents 11:13:15:17:19 SD: 13.9754 cents 12:14:17:19:21 SD: 11.1692 cents 16:19:22:25:28 SD: 7.2877 cents 21:25:29:33:37 SD: 5.9943 cents 24:28:33:38:42 SD: 5.1786 cents 28:33:39:44:49 SD: 4.5605 cents 29:34:40:46:51 SD: 2.9788 cents 45:53:62:71:79 SD: 2.5318 cents 47:55:65:74:83 SD: 2.2126 cents 52:61:72:82:92 SD: 2.0785 cents 57:67:79:90:100 SD: 1.9365 cents 62:73:86:98:109 SD: 1.8972 cents 63:74:87:99:111 SD: 1.8215 cents 68:80:94:107:120 SD: 1.5049 cents 80:94:111:126:141 SD: 1.4329 cents 92:108:127:145:162 SD: 1.0883 cents 97:114:134:153:171 SD: 0.7649 cents 109:128:151:172:192 SD: 0.6278 cents 154:181:213:243:271 SD: 0.4704 cents 201:236:278:317:354 SD: 0.3119 cents 206:242:285:325:363 SD: 0.2205 cents 331:389:458:522:583 SD: 0.1658 cents 360:423:498:568:634 SD: 0.1493 cents 532:625:736:839:937 SD: 0.0821 cents