Scala analysis: DR_Congo_Ngbandi_01
Ngbandi 1, DR Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 219.000 cents 219.000000 2: 479.000 cents 479.000000 3: 704.000 cents 704.000000 4: 915.000 cents 915.000000
SHOW/INTERVAL
0: 211.0000 cents 211.0000 1: 219.0000 cents 219.0000 2: 260.0000 cents 260.0000 3: 225.0000 cents 225.0000 4: 211.0000 cents 211.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 211.00000 cents 1: 1 219.00000 cents 1: 1 225.00000 cents 1: 1 260.00000 cents 2: 1 430.00000 cents 2: 1 436.00000 cents 2: 1 479.00000 cents 2: 1 485.00000 cents 3: 1 655.00000 cents 3: 1 690.00000 cents 3: 1 696.00000 cents 3: 1 704.00000 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 : 219.0 479.0 704.0 915.0 219.0: 260.0 485.0 696.0 915.0 479.0: 225.0 436.0 655.0 915.0 704.0: 211.0 430.0 690.0 915.0 915.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 211.0000 .. 260.0000 cents 49.00000 cents 211.00000 cents 2: 430.0000 .. 485.0000 cents 55.00000 cents 170.00000 cents 3: 655.0000 .. 704.0000 cents 49.00000 cents 170.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 211.00000 cents, class 1 Average step (divided formal octave): 228.7500 cents Largest one step interval : 260.00000 cents Average / Smallest step : 1.084123 Largest / Average step : 1.136612 Largest / Smallest step : 1.232227 Median interval of one step : 222.00000 cents, amount: 0 Least squares average step : 231.63333 cents, oct.: 926.53333 cents Scale is strictly proper Scale is a mode of a 915-tone equal temperament with octave 915.000 cents degrees: 219 479 704 915 Least number of segments generator : 458 of 458.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 788 of 788.000 cents and inv. generated superset size: 118 = 114 more = 2950.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : BDCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 170.00000 cents Scale diversity : 1.484462 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.832787 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 : 6.00000 cents Number of recognisable fifths : 3, average 696.6667 cents Number of recognisable fourths : 1, average 485.0000 cents Number of appreciable fourths : 0 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 49.0000 cents: 3 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 14.7680 c. M: 21.5000 c. 13: 3 4 3 3 SP M ME SD: 7.8909 c. M:-13.6923 c. 17: 4 5 4 4 SP M ME SD: 3.9198 c. M:-5.4118 c. 21: 5 6 5 5 SP M ME SD: 3.4788 c. M: 6.8571 c. 38: 9 11 9 9 SP M DE SD: 3.3355 c. M: 5.7105 c. 53: 13 15 13 12 SP D3 SD: 3.9851 c. M:-5.4340 c. 55: 13 16 13 13 SP M DE SD: 3.4342 c. M: 5.2727 c. 57: 14 16 14 13 SP D3 SD: 3.3513 c. M:-5.7368 c. 59: 14 17 14 14 SP M DE SD: 3.3198 c. M: 6.1186 c. 61: 15 17 15 14 SP D3 SD: 3.0822 c. M:-6.0000 c. 70: 17 20 17 16 SP D3 SD: 2.9722 c. M:-4.6429 c. 71: 17 20 18 16 SP SD: 2.6353 c. M:-4.8028 c. 74: 18 21 18 17 SP D3 SD: 2.4390 c. M:-3.5676 c. 75: 18 21 19 17 SP SD: 2.4269 c. M:-3.6000 c. 78: 19 22 19 18 SP D3 SD: 2.1772 c. M:-3.8846 c. 84: 20 24 21 19 SP SD: 2.1021 c. M:-4.0357 c. 88: 21 25 22 20 SP SD: 1.5961 c. M:-3.0455 c. 92: 22 26 23 21 SP SD: 1.3427 c. M:-2.1413 c. 105: 25 30 26 24 SP SD: 1.0996 c. M:-1.8571 c. 109: 26 31 27 25 SP SD: 0.7264 c. M:-1.1376 c. 113: 27 32 28 26 SP SD: 0.6959 c. M: 1.2566 c. 126: 30 36 31 29 SP SD: 0.6228 c. M: 1.1429 c. 130: 31 37 32 30 SP SD: 0.4539 c. M: 0.8077 c. 229: 55 65 56 53 SP SD: 0.5905 c. M: 0.7686 c. 239: 57 68 59 55 SP SD: 0.4979 c. M: 0.7782 c. 256: 61 73 63 59 SP SD: 0.4908 c. M: 0.9727 c. 264: 63 75 65 61 SP SD: 0.5227 c. M: 0.7045 c. 296: 71 84 73 68 SP SD: 0.4695 c. M:-0.7973 c. 300: 72 85 74 69 SP SD: 0.4138 c. M:-0.6000 c. 313: 75 89 77 72 SP SD: 0.3584 c. M:-0.5208 c. 317: 76 90 78 73 SP SD: 0.2462 c. M:-0.3691 c. 334: 80 95 82 77 SP SD: 0.2250 c. M:-0.4162 c. 338: 81 96 83 78 SP SD: 0.1760 c. M:-0.2751 c. 447: 107 127 110 103 SP SD: 0.0817 c. M:-0.1611 c. 468: 112 133 115 108 SP SD: 0.0780 c. M: 0.1538 c. 785: 188 223 193 181 SP SD: 0.0752 c. M:-0.1338 c. 898: 215 255 221 207 SP SD: 0.0742 c. M: 0.1024 c. 911: 218 259 224 210 SP SD: 0.0648 c. M:-0.0944 c. 915: 219 260 225 211 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 285.0000 cents 2 x x 3 x S SD: 2.0450 cents 3 x 4 x 5 S SD: 18.0389 cents 4 x 5:6:7 S SD: 35.7338 cents 5:6:7 x 8 S SD: 58.0410 cents 6:7:8:9:10 H SD: 14.9946 cents 10:11:13:15:17 SD: 14.8899 cents 13:15:17:20:22 SD: 13.2339 cents 14:16:18:21:24 S SD: 12.2721 cents 16:18:21:24:27 S SD: 4.8919 cents 22:25:29:33:37 SD: 3.8266 cents 38:43:50:57:64 SD: 3.5427 cents 44:50:58:66:75 SD: 2.2131 cents 60:68:79:90:102 SD: 1.3752 cents 66:75:87:99:112 SD: 0.8051 cents 119:135:157:179:202 SD: 0.7875 cents 141:160:186:212:239 SD: 0.6372 cents 185:210:244:278:314 SD: 0.3689 cents 201:228:265:302:341 SD: 0.3076 cents 267:303:352:401:453 SD: 0.1422 cents 586:665:773:880:994 SD: 0.1311 cents