Scala analysis: xen18-erlich-porcupine-05
1L 4s MOS for Porcupine, L=547.63, 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: 872.270 cents 872.270000 4: 1034.590 cents 1034.590000 5: 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: 547.6300 cents 547.6300 4: 162.3200 cents 162.3200 5: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 162.32000 cents 1: 1 547.63000 cents 2: 3 324.64000 cents 2: 2 709.95000 cents 3: 2 486.96000 cents 3: 3 872.27000 cents 4: 1 649.28000 cents 4: 4 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 5 0.0 : 162.3 324.6 872.3 1034.6 1196.9 162.3 : 162.3 709.9 872.3 1034.6 1196.9 324.6 : 547.6 709.9 872.3 1034.6 1196.9 872.3 : 162.3 324.6 487.0 649.3 1196.9 1034.6: 162.3 324.6 487.0 1034.6 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.3200 .. 547.6300 cents 385.31000 cents 162.32000 cents 2: 324.6400 .. 709.9500 cents 385.31000 cents -222.99000 cents 3: 486.9600 .. 872.2700 cents 385.31000 cents -222.99000 cents 4: 649.2800 .. 1034.5900 cents 385.31000 cents -222.99000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 162.32000 cents, class 1 Average step (divided formal octave): 239.3820 cents Largest one step interval : 547.63000 cents Average / Smallest step : 1.474754 Largest / Average step : 2.287682 Largest / Smallest step : 3.373768 Median interval of one step : 162.32000 cents, amount: 4 Most common interval of one step : 162.32000 cents, amount: 4 Least squares average step : 246.38764 cents, oct.: 1231.93818 cents Scale is not proper Scale has Myhill's property chromas: 385.31000 cents and 222.99000 cents, ratio: 1.727925 generators: 1 of 162.32000 cents and 4 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: 99 198 532 631 730 generators: 99 and 631 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : SSLSS Scale is a Constant Structure, by a margin of 60.67000 cents Scale diversity : 1.307075 Lumma stability : 0.271232 Lumma impropriety factor : 0.457536 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 : 60.67000 cents Most common intervals : 162.32000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 324.640 1034.590 cents Number of recognisable fifths : 2, average 709.9500 cents Number of recognisable fourths : 2, average 486.9600 cents Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 0 1 2 1 1 N T3 SD: 112.5251 c. M: 162.3200 c. 6: 1 1 2 1 1 P M ME I SD: 52.5592 c. M:-74.3300 c. 7: 1 1 3 1 1 N M DE I SD: 12.2572 c. M:-17.3343 c. 15: 2 2 7 2 2 N M DE I SD: 3.8636 c. M:-5.4640 c. 22: 3 3 10 3 3 N M DE I SD: 1.2657 c. M:-1.7900 c. 37: 5 5 17 5 5 N M DE I SD: 0.8137 c. M:-1.1508 c. 59: 8 8 27 8 8 N M DE I SD: 0.0384 c. M:-0.0542 c. 376: 51 51 172 51 51 N M DE I SD: 0.0380 c. M:-0.0537 c. 435: 59 59 199 59 59 N M DE I SD: 0.0276 c. M:-0.0390 c. 494: 67 67 226 67 67 N M DE I SD: 0.0197 c. M:-0.0279 c. 553: 75 75 253 75 75 N M DE I SD: 0.0135 c. M:-0.0191 c. 612: 83 83 280 83 83 N M DE I SD: 0.0085 c. M:-0.0121 c. 671: 91 91 307 91 91 N M DE I SD: 0.0044 c. M:-0.0062 c. 730: 99 99 334 99 99 N M DE I SD: 0.0009 c. M:-0.0013 c. 1519: 206 206 695 206 206 N M DE I SD: 0.0006 c. M:-0.0008 c. 2249: 305 305 1029 305 305 N M DE I SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x x x x 2 S SD: 3.0900 cents 2 x x 3 x 4 S SD: 85.1715 cents 3 x 4:5 x 6 S SD: 57.9511 cents 4 x 5 x 7:8 SD: 30.0705 cents 5 x 6:8:9:10 S SD: 15.4341 cents 6 x 7:10:11:12 SD: 15.2299 cents 7:8 x 12:13:14 S SD: 24.7885 cents 8:9:10:13:15:16 SD: 19.4236 cents 9:10:11:15:16:18 SD: 10.1186 cents 10:11:12:17:18:20 SD: 10.0734 cents 11:12:13:18:20:22 SD: 8.4587 cents 18:20:22:30:33:36 SD: 7.1991 cents 20:22:24:33:36:40 SD: 4.0729 cents 29:32:35:48:53:58 SD: 2.5554 cents 43:47:52:71:78:86 SD: 2.2621 cents 49:54:59:81:89:98 SD: 1.5529 cents 72:79:87:119:131:144 SD: 1.0890 cents 82:90:99:136:149:164 SD: 1.0347 cents 92:101:111:152:167:184 SD: 1.0057 cents 93:102:112:154:169:186 SD: 0.9845 cents 111:122:134:184:202:222 SD: 0.9839 cents 121:133:146:200:220:242 SD: 0.8266 cents 122:134:147:202:222:244 SD: 0.8259 cents 131:144:158:217:238:262 SD: 0.7702 cents 154:169:186:255:280:307 SD: 0.7517 cents 165:181:199:273:300:329 SD: 0.6197 cents 174:191:210:288:316:347 SD: 0.5598 cents 194:213:234:321:353:387 SD: 0.4677 cents 203:223:245:336:369:405 SD: 0.3086 cents 252:277:304:417:458:503 SD: 0.3086 cents 276:303:333:457:502:551 SD: 0.3063 cents 286:314:345:473:520:571 SD: 0.2963 cents 295:324:356:488:536:589 SD: 0.2787 cents 296:325:357:490:538:591 SD: 0.1418 cents 499:548:602:826:907:996 SD: 0.1096 cents 548:602:661:907:996:1094 SD: 0.0920 cents