Scala analysis: xen18-erlich-porcupine-04
1L 3s MOS for Porcupine, L=709.95, 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: 324.640 cents 324.640000 3: 1034.590 cents 1034.590000 4: 1196.910 cents 1196.910000
SHOW/INTERVAL
0: 162.3200 cents 162.3200 1: 162.3200 cents 162.3200 2: 162.3200 cents 162.3200 3: 709.9500 cents 709.9500 4: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 162.32000 cents 1: 1 709.95000 cents 2: 2 324.64000 cents 2: 2 872.27000 cents 3: 1 486.96000 cents 3: 3 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 4 0.0 : 162.3 324.6 1034.6 1196.9 162.3 : 162.3 872.3 1034.6 1196.9 324.6 : 709.9 872.3 1034.6 1196.9 1034.6: 162.3 324.6 487.0 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.3200 .. 709.9500 cents 547.63000 cents 162.32000 cents 2: 324.6400 .. 872.2700 cents 547.63000 cents -385.31000 cents 3: 486.9600 .. 1034.5900 cents 547.63000 cents -385.31000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 162.32000 cents, class 1 Average step (divided formal octave): 299.2275 cents Largest one step interval : 709.95000 cents Average / Smallest step : 1.843442 Largest / Average step : 2.372609 Largest / Smallest step : 4.373768 Median interval of one step : 162.32000 cents, amount: 3 Most common interval of one step : 162.32000 cents, amount: 3 Least squares average step : 290.10033 cents, oct.: 1160.40133 cents Scale is not proper Scale has Myhill's property chromas: 547.63000 cents and 385.31000 cents, ratio: 1.421271 generators: 1 of 162.32000 cents and 3 of 1034.59000 cents ET pair of linear temperament : 15&22 Scale is distributional even Scale is a mode of a 730-tone equal temperament with octave 1196.910 cents degrees: 99 198 631 730 generators: 99 and 631 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABA Step pattern size order : SSLS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 162.32000 cents Scale diversity : 1.396090 Lumma stability : 0.271232 Lumma impropriety factor : 0.457536 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 : 162.32000 cents Most common intervals : 162.32000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 162.320 1034.590 cents Number of recognisable fifths : 1, average 709.9500 cents Number of recognisable fourths : 1, average 486.9600 cents Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 2-3 -- Rational properties --
FIT/MODE
4: 0 1 2 1 N D3 SD: 106.9313 c. M: 162.3200 c. 5: 0 1 3 1 N D3 SD: 99.4425 c. M: 162.3200 c. 6: 1 1 3 1 N M DE SD: 45.5176 c. M:-74.3300 c. 7: 1 1 4 1 N M DE SD: 10.6150 c. M:-17.3343 c. 15: 2 2 9 2 N M DE SD: 3.3460 c. M: 5.4640 c. 22: 3 3 13 3 N M DE SD: 1.0961 c. M:-1.7900 c. 37: 5 5 22 5 N M DE SD: 0.7047 c. M: 1.1508 c. 59: 8 8 35 8 N M DE SD: 0.0332 c. M: 0.0542 c. 376: 51 51 223 51 N M DE SD: 0.0329 c. M:-0.0537 c. 435: 59 59 258 59 N M DE SD: 0.0239 c. M:-0.0390 c. 494: 67 67 293 67 N M DE SD: 0.0171 c. M:-0.0279 c. 553: 75 75 328 75 N M DE SD: 0.0117 c. M:-0.0191 c. 612: 83 83 363 83 N M DE SD: 0.0074 c. M:-0.0121 c. 671: 91 91 398 91 N M DE SD: 0.0038 c. M:-0.0062 c. 730: 99 99 433 99 N M DE SD: 0.0008 c. M:-0.0013 c. 1519: 206 206 901 206 N M DE SD: 0.0005 c. M: 0.0008 c. 2249: 305 305 1334 305 N M DE SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x 2 S SD: 3.0900 cents 2 x x x 4 S SD: 3.0900 cents 3 x 4:5:6 S SD: 76.4840 cents 4 x 5:7:8 SD: 30.0705 cents 5 x 6:9:10 S SD: 6.4920 cents 6 x 7:11:12 SD: 19.9027 cents 7:8 x 13:14 SD: 26.0932 cents 8:9:10:15:16 S SD: 22.9460 cents 9:10:11:16:18 SD: 12.2819 cents 10:11:12:18:20 S SD: 4.9150 cents 28:31:34:51:56 SD: 4.6549 cents 29:32:35:53:58 SD: 3.1941 cents 39:43:47:71:78 SD: 2.0021 cents 49:54:59:89:98 SD: 1.8686 cents 72:79:87:131:144 SD: 1.2220 cents 82:90:99:149:164 SD: 0.9233 cents 121:133:146:220:242 SD: 0.8620 cents 164:180:198:298:327 SD: 0.7465 cents 174:191:210:316:347 SD: 0.6992 cents 175:192:211:318:349 SD: 0.6946 cents 193:212:233:351:385 SD: 0.5481 cents 203:223:245:369:405 SD: 0.3848 cents 213:234:257:387:425 SD: 0.3577 cents 214:235:258:389:427 SD: 0.3400 cents 276:303:333:502:551 SD: 0.3322 cents 285:313:344:518:569 SD: 0.2796 cents 286:314:345:520:571 SD: 0.1866 cents 296:325:357:538:591 SD: 0.1539 cents 499:548:602:907:996 SD: 0.1216 cents 538:591:649:978:1074 SD: 0.0969 cents