Scala analysis: xen18-erlich-porcupine-03
1L 2s MOS for Porcupine, L=872.27, s=162.32
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 162.320 cents 162.320000 2: 1034.590 cents 1034.590000 3: 1196.910 cents 1196.910000
SHOW/INTERVAL
0: 162.3200 cents 162.3200 1: 162.3200 cents 162.3200 2: 872.2700 cents 872.2700 3: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 162.32000 cents 1: 1 872.27000 cents 2: 1 324.64000 cents 2: 2 1034.59000 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 0.0 : 162.3 1034.6 1196.9 162.3 : 872.3 1034.6 1196.9 1034.6: 162.3 324.6 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.3200 .. 872.2700 cents 709.95000 cents 162.32000 cents 2: 324.6400 .. 1034.5900 cents 709.95000 cents -547.63000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 162.32000 cents, class 1 Average step (divided formal octave): 398.9700 cents Largest one step interval : 872.27000 cents Average / Smallest step : 2.457923 Largest / Average step : 2.186305 Largest / Smallest step : 5.373768 Median interval of one step : 162.32000 cents, amount: 2 Most common interval of one step : 162.32000 cents, amount: 2 Least squares average step : 415.87357 cents, oct.: 1247.62071 cents Scale is not proper Scale has Myhill's property chromas: 709.95000 cents and 547.63000 cents, ratio: 1.296405 generators: 1 of 162.32000 cents and 2 of 1034.59000 cents ET pair of linear temperament : 15&22 Scale is distributional even Scale is a mode of a 671-tone equal temperament with octave 1196.910 cents degrees: 91 580 671 generators: 91 and 580 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : SLS Scale is a Constant Structure, by a margin of 162.32000 cents Scale diversity : 1.151533 Lumma stability : 0.271232 Lumma impropriety factor : 0.457536 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 162.32000 cents Most common intervals : 162.32000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 0 2 1 N G T3 SD: 165.6814 c. M: 236.6500 c. 4: 0 3 1 N G T3 SD: 122.5989 c. M: 162.3200 c. 5: 1 3 1 N M DE I SD: 62.9209 c. M:-77.0620 c. 6: 1 4 1 N M DE I SD: 30.3451 c. M:-37.1650 c. 7: 1 5 1 N M DE I SD: 7.0767 c. M:-8.6671 c. 15: 2 11 2 N M DE I SD: 2.2307 c. M:-2.7320 c. 22: 3 16 3 N M DE I SD: 0.7308 c. M:-0.8950 c. 37: 5 27 5 N M DE I SD: 0.4698 c. M:-0.5754 c. 59: 8 43 8 N M DE I SD: 0.0221 c. M:-0.0271 c. 376: 51 274 51 N M DE I SD: 0.0219 c. M:-0.0268 c. 435: 59 317 59 N M DE I SD: 0.0159 c. M:-0.0195 c. 494: 67 360 67 N M DE I SD: 0.0114 c. M:-0.0139 c. 553: 75 403 75 N M DE I SD: 0.0078 c. M:-0.0096 c. 612: 83 446 83 N M DE I SD: 0.0049 c. M:-0.0060 c. 671: 91 489 91 N M DE I SD: 0.0025 c. M:-0.0031 c. 730: 99 532 99 N M DE I SD: 0.0005 c. M:-0.0007 c. 1519: 206 1107 206 N M DE I SD: 0.0003 c. M:-0.0004 c. 2249: 305 1639 305 N M DE I SD: 0.0000 c. M:-0.0001 c.
FIT/HARMONIC
1 x x 2 S SD: 3.0900 cents 2 x x 4 S SD: 3.0900 cents 39:43:71:78 SD: 2.6146 cents 49:54:89:98 SD: 2.2640 cents 50:55:91:100 SD: 1.5390 cents 60:66:109:120 SD: 1.4075 cents 61:67:111:122 SD: 1.1966 cents 71:78:129:142 SD: 1.0764 cents 132:145:240:264 SD: 1.0436 cents 143:157:260:285 SD: 1.0216 cents 153:168:278:305 SD: 0.9025 cents 164:180:298:327 SD: 0.8556 cents 181:199:329:361 SD: 0.8289 cents 182:200:331:363 SD: 0.7059 cents 192:211:349:383 SD: 0.5888 cents 193:212:351:385 SD: 0.5526 cents 203:223:369:405 SD: 0.4108 cents 214:235:389:427 SD: 0.3314 cents 253:278:460:505 SD: 0.3239 cents 263:289:478:525 SD: 0.3152 cents 264:290:480:527 SD: 0.1796 cents 274:301:498:547 SD: 0.1508 cents 275:302:500:549 SD: 0.1493 cents 285:313:518:569 SD: 0.0742 cents 549:603:998:1096 SD: 0.0506 cents