Scala analysis: xen18-erlich-bug-05
4L 1s MOS for Bug, L=260.3, s=158.8
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 260.300 cents 260.300000 2: 520.600 cents 520.600000 3: 679.400 cents 679.400000 4: 939.700 cents 939.700000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 260.3000 cents 260.3000 1: 260.3000 cents 260.3000 2: 260.3000 cents 260.3000 3: 158.8000 cents 158.8000 4: 260.3000 cents 260.3000 5: 260.3000 cents 260.3000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 158.80000 cents 1: 4 260.30000 cents 2: 2 419.10000 cents 2: 3 520.60000 cents 3: 3 679.40000 cents 3: 2 780.90000 cents 4: 4 939.70000 cents 4: 1 1041.20000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 260.3 520.6 679.4 939.7 1200.0 260.3 : 260.3 419.1 679.4 939.7 1200.0 520.6 : 158.8 419.1 679.4 939.7 1200.0 679.4 : 260.3 520.6 780.9 1041.2 1200.0 939.7 : 260.3 520.6 780.9 939.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 158.8000 .. 260.3000 cents 101.50000 cents 158.80000 cents 2: 419.1000 .. 520.6000 cents 101.50000 cents 158.80000 cents 3: 679.4000 .. 780.9000 cents 101.50000 cents 158.80000 cents 4: 939.7000 .. 1041.2000 cents 101.50000 cents 158.80000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 158.80000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 260.30000 cents Average / Smallest step : 1.511335 Largest / Average step : 1.084583 Largest / Smallest step : 1.639169 Median interval of one step : 260.30000 cents, amount: 4 Most common interval of one step : 260.30000 cents, amount: 4 Least squares average step : 238.15455 cents, oct.: 1190.77273 cents Scale is strictly proper Scale has Myhill's property chromas: 101.50000 cents and 57.30000 cents, ratio: 1.771379 generators: 1 of 260.30000 cents and 4 of 939.70000 cents ET pair of linear temperament : 14&23 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 733-tone equal temperament with octave 1200.000 cents degrees: 159 318 415 574 733 generators: 159 and 574 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : LLSLL Scale is a Constant Structure, by a margin of 158.80000 cents Scale diversity : 1.337506 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.661667 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 101.50000 cents Most common intervals : 260.30000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 520.600 939.700 cents Most common triad is 0.0 260.300 939.700 cents, amount: 3 Number of recognisable fifths : 0 Best fifths form a closed circle Formal octave complements present : 5 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 28.7085 c. M:-40.6000 c. 9: 2 2 1 2 2 SP M ME I SD: 9.0038 c. M:-12.7333 c. 14: 3 3 2 3 3 SP M ME I SD: 4.4649 c. M:-6.3143 c. Semaphore-5 23: 5 5 3 5 5 SP M DE I SD: 0.8055 c. M:-1.1391 c. Semaphore-5 60: 13 13 8 13 13 SP M DE I SD: 0.4243 c. M:-0.6000 c. 83: 18 18 11 18 18 SP M DE I SD: 0.0835 c. M:-0.1181 c. 189: 41 41 25 41 41 SP M DE I SD: 0.0247 c. M:-0.0349 c. 272: 59 59 36 59 59 SP M DE I SD: 0.0083 c. M:-0.0118 c. 461: 100 100 61 100 100 SP M DE I SD: 0.0052 c. M:-0.0074 c. 733: 159 159 97 159 159 SP M DE I SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 11.2775 cents 3 x 4 x 5:6 S SD: 19.9204 cents 4:5 x 6:7:8 S SD: 32.8220 cents 5:6:7 x 9:10 SD: 28.4645 cents 6:7:8:9:10:12 S SD: 12.8426 cents 11:13:15:16:19:22 SD: 9.1409 cents 12:14:16:18:21:24 S SD: 8.7383 cents 14:16:19:21:24:28 SD: 7.6567 cents 17:20:23:25:29:34 SD: 5.7122 cents 23:27:31:34:40:46 SD: 5.1281 cents 25:29:34:37:43:50 SD: 2.4486 cents 37:43:50:55:64:74 SD: 2.2639 cents 43:50:58:64:74:86 SD: 1.8933 cents 54:63:73:80:93:108 SD: 1.3866 cents 68:79:92:101:117:136 SD: 1.2359 cents 79:92:107:117:136:158 SD: 1.1655 cents 86:100:116:127:148:172 SD: 1.0458 cents 100:116:135:148:172:200 SD: 0.7334 cents 123:143:166:182:212:246 SD: 0.6825 cents 129:150:174:191:222:258 SD: 0.5339 cents 148:172:200:219:255:296 SD: 0.4994 cents 154:179:208:228:265:308 SD: 0.0534 cents