Scala analysis: xen18-erlich-orwell-04
1L 3s MOS for Orwell, L=385.06, s=271.49
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 271.490 cents 271.490000 2: 656.550 cents 656.550000 3: 928.040 cents 928.040000 4: 1199.530 cents 1199.530000
SHOW/INTERVAL
0: 271.4900 cents 271.4900 1: 271.4900 cents 271.4900 2: 385.0600 cents 385.0600 3: 271.4900 cents 271.4900 4: 271.4900 cents 271.4900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 271.49000 cents 1: 1 385.06000 cents 2: 2 542.98000 cents 2: 2 656.55000 cents 3: 1 814.47000 cents 3: 3 928.04000 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 0.0 : 271.5 656.5 928.0 1199.5 271.5 : 385.1 656.5 928.0 1199.5 656.5 : 271.5 543.0 814.5 1199.5 928.0 : 271.5 543.0 928.0 1199.5 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 271.4900 .. 385.0600 cents 113.57000 cents 271.49000 cents 2: 542.9800 .. 656.5500 cents 113.57000 cents 157.92000 cents 3: 814.4700 .. 928.0400 cents 113.57000 cents 157.92000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 271.49000 cents, class 1 Average step (divided formal octave): 299.8825 cents Largest one step interval : 385.06000 cents Average / Smallest step : 1.104580 Largest / Average step : 1.284036 Largest / Smallest step : 1.418321 Median interval of one step : 271.49000 cents, amount: 3 Most common interval of one step : 271.49000 cents, amount: 3 Least squares average step : 305.56100 cents, oct.: 1222.24400 cents Scale is strictly proper Scale has Myhill's property chromas: 113.57000 cents and 157.92000 cents, ratio: 1.390508 generators: 1 of 271.49000 cents and 3 of 928.04000 cents ET pair of linear temperament : 22&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 433-tone equal temperament with octave 1199.530 cents degrees: 98 237 335 433 generators: 98 and 335 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : SLSS Scale is a Constant Structure, by a margin of 157.92000 cents Scale diversity : 1.304864 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.715964 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 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 : 113.57000 cents Most common intervals : 271.49000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 271.490 928.040 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 3-4 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 34.7736 c. M: 56.7850 c. 9: 2 3 2 2 SP M ME SD: 6.0353 c. M:-9.8556 c. 22: 5 7 5 5 SP M DE SD: 1.3845 c. M: 2.2609 c. 31: 7 10 7 7 SP M DE SD: 0.7696 c. M:-1.2568 c. 53: 12 17 12 12 SP M DE SD: 0.1246 c. M: 0.2034 c. 137: 31 44 31 31 SP M DE SD: 0.0778 c. M:-0.1270 c. 190: 43 61 43 43 SP M DE SD: 0.0213 c. M:-0.0348 c. 243: 55 78 55 55 SP M DE SD: 0.0105 c. M: 0.0171 c. 433: 98 139 98 98 SP M DE SD: 0.0035 c. M:-0.0057 c. 676: 153 217 153 153 SP M DE SD: 0.0015 c. M: 0.0025 c. 1109: 251 356 251 251 SP M DE SD: 0.0004 c. M:-0.0007 c. 1785: 404 573 404 404 SP M DE SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.4700 cents 2 x 3 x 4 S SD: 22.7037 cents 3 x 4:5:6 S SD: 54.8048 cents 4:5:6:7:8 H SD: 32.5094 cents 5:6:7:9:10 SD: 31.0760 cents 6:7:9:10:12 SD: 15.7940 cents 7:8:10:12:14 S SD: 14.0920 cents 11:13:16:19:22 SD: 6.6414 cents 17:20:25:29:34 SD: 3.8160 cents 24:28:35:41:48 SD: 1.4524 cents 41:48:60:70:82 SD: 0.9047 cents 65:76:95:111:130 SD: 0.4733 cents 100:117:146:171:200 SD: 0.4199 cents 141:165:206:241:282 SD: 0.2046 cents 206:241:301:352:412 SD: 0.1812 cents 306:358:447:523:612 SD: 0.1753 cents 347:406:507:593:694 SD: 0.1706 cents 371:434:542:634:742 SD: 0.1669 cents 512:599:748:875:1024 SD: 0.1608 cents