Scala analysis: xen18-erlich-porcupine-07
1L 6s MOS for Porcupine, L=222.99, 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: 486.960 cents 486.960000 4: 709.950 cents 709.950000 5: 872.270 cents 872.270000 6: 1034.590 cents 1034.590000 7: 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: 162.3200 cents 162.3200 4: 222.9900 cents 222.9900 5: 162.3200 cents 162.3200 6: 162.3200 cents 162.3200 7: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 162.32000 cents 1: 1 222.99000 cents 2: 5 324.64000 cents 2: 2 385.31000 cents 3: 4 486.96000 cents 3: 3 547.63000 cents 4: 3 649.28000 cents 4: 4 709.95000 cents 5: 2 811.60000 cents 5: 5 872.27000 cents 6: 1 973.92000 cents 6: 6 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 6 7 0.0 : 162.3 324.6 487.0 710.0 872.3 1034.6 1196.9 162.3 : 162.3 324.6 547.6 709.9 872.3 1034.6 1196.9 324.6 : 162.3 385.3 547.6 709.9 872.3 1034.6 1196.9 487.0 : 223.0 385.3 547.6 709.9 872.3 1034.6 1196.9 710.0 : 162.3 324.6 487.0 649.3 811.6 973.9 1196.9 872.3 : 162.3 324.6 487.0 649.3 811.6 1034.6 1196.9 1034.6: 162.3 324.6 487.0 649.3 872.3 1034.6 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.3200 .. 222.9900 cents 60.67000 cents 162.32000 cents 2: 324.6400 .. 385.3100 cents 60.67000 cents 101.65000 cents 3: 486.9600 .. 547.6300 cents 60.67000 cents 101.65000 cents 4: 649.2800 .. 709.9500 cents 60.67000 cents 101.65000 cents 5: 811.6000 .. 872.2700 cents 60.67000 cents 101.65000 cents 6: 973.9200 .. 1034.5900 cents 60.67000 cents 101.65000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 162.32000 cents, class 1 Average step (divided formal octave): 170.9871 cents Largest one step interval : 222.99000 cents Average / Smallest step : 1.053395 Largest / Average step : 1.304133 Largest / Smallest step : 1.373768 Median interval of one step : 162.32000 cents, amount: 6 Most common interval of one step : 162.32000 cents, amount: 6 Least squares average step : 171.85386 cents, oct.: 1202.97700 cents Scale is strictly proper Scale has Myhill's property chromas: 60.67000 cents and 101.65000 cents, ratio: 1.675457 generators: 1 of 162.32000 cents and 6 of 1034.59000 cents ET pair of linear temperament : 15&22 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 730-tone equal temperament with octave 1196.910 cents degrees: 99 198 297 433 532 631 730 generators: 99 and 631 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAA Step pattern size order : SSSLSSS Scale is a Constant Structure, by a margin of 101.65000 cents Scale diversity : 1.251501 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.695867 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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: 6 Scale is a chain of 3 triads 0.0 486.960 1034.590 cents Number of recognisable fifths : 4, average 709.9500 cents Number of recognisable fourths : 4, average 486.9600 cents Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 17.3343 c. M: 26.0014 c. Lebeng 15: 2 2 2 3 2 2 2 SP M ME I SD: 5.4640 c. M: 8.1960 c. Miller's Porcupine-7 22: 3 3 3 4 3 3 3 SP M ME I SD: 1.7900 c. M: 2.6850 c. Minor quasi-equal Heptatonic, Miller's Porcupine-7 37: 5 5 5 7 5 5 5 SP M DE I SD: 1.1508 c. M: 1.7262 c. Miller's Porcupine-7 59: 8 8 8 11 8 8 8 SP M DE I SD: 0.0542 c. M: 0.0814 c. Miller's Porcupine-7 376: 51 51 51 70 51 51 51 SP M DE I SD: 0.0537 c. M: 0.0805 c. 435: 59 59 59 81 59 59 59 SP M DE I SD: 0.0390 c. M: 0.0586 c. 494: 67 67 67 92 67 67 67 SP M DE I SD: 0.0279 c. M: 0.0418 c. 553: 75 75 75 103 75 75 75 SP M DE I SD: 0.0191 c. M: 0.0287 c. 612: 83 83 83 114 83 83 83 SP M DE I SD: 0.0121 c. M: 0.0181 c. 671: 91 91 91 125 91 91 91 SP M DE I SD: 0.0062 c. M: 0.0093 c. 730: 99 99 99 136 99 99 99 SP M DE I SD: 0.0013 c. M: 0.0020 c. 1519: 206 206 206 283 206 206 206 SP M DE I SD: 0.0008 c. M: 0.0012 c. 2249: 305 305 305 419 305 305 305 SP M DE I SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 3.0900 cents 2 x x x 3 x x 4 S SD: 4.2857 cents 3 x x 4 x 5 x 6 S SD: 5.5634 cents 4 x 5 x 6 x 7:8 S SD: 22.6413 cents 5 x 6:7 x 8:9:10 S SD: 22.7522 cents 6 x 7:8:9:10:11:12 S SD: 10.4056 cents 7:8 x 9:11:12:13:14 SD: 22.2267 cents 8:9:10:11:12:13:15:16 SD: 16.6830 cents 9:10:11:12:14:15:16:18 S SD: 10.7891 cents 10:11:12:13:15:17:18:20 SD: 8.6580 cents 18:20:22:24:27:30:33:36 S SD: 5.5004 cents 21:23:25:28:32:35:38:42 SD: 5.0597 cents 24:26:29:32:36:40:44:48 SD: 4.8098 cents 28:31:34:37:42:46:51:56 SD: 3.4839 cents 33:36:40:44:50:55:60:66 SD: 3.4233 cents 34:37:41:45:51:56:62:68 SD: 2.9662 cents 38:42:46:50:57:63:69:76 SD: 2.7970 cents 39:43:47:52:59:65:71:78 SD: 2.7795 cents 40:44:48:53:60:66:73:80 SD: 2.2007 cents 43:47:52:57:65:71:78:86 SD: 1.7945 cents 49:54:59:65:74:81:89:98 SD: 1.2718 cents 73:80:88:97:110:121:133:146 SD: 1.2289 cents 81:89:98:107:122:134:147:162 SD: 1.2080 cents 83:91:100:110:125:137:151:166 SD: 0.9935 cents 92:101:111:122:139:152:167:184 SD: 0.9929 cents 93:102:112:123:140:154:169:186 SD: 0.8581 cents 111:122:134:147:167:184:202:222 SD: 0.8143 cents 132:145:159:175:199:218:240:264 SD: 0.8042 cents 142:156:171:188:214:235:258:283 SD: 0.6361 cents 154:169:186:204:232:255:280:307 SD: 0.5427 cents 185:203:223:245:279:306:336:369 SD: 0.4949 cents 194:213:234:257:292:321:353:387 SD: 0.4451 cents 203:223:245:269:306:336:369:405 SD: 0.2389 cents 286:314:345:379:431:473:520:571 SD: 0.2217 cents 296:325:357:392:446:490:538:591 SD: 0.1410 cents 499:548:602:661:752:826:907:996 SD: 0.0855 cents