Scala analysis: xen18-erlich-porcupine-08
7L 1s MOS for Porcupine, L=162.32, s=60.67
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: 649.280 cents 649.280000 5: 709.950 cents 709.950000 6: 872.270 cents 872.270000 7: 1034.590 cents 1034.590000 8: 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: 162.3200 cents 162.3200 5: 60.6700 cents 60.6700 6: 162.3200 cents 162.3200 7: 162.3200 cents 162.3200 8: 162.3200 cents 162.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 60.67000 cents 1: 7 162.32000 cents 2: 2 222.99000 cents 2: 6 324.64000 cents 3: 3 385.31000 cents 3: 5 486.96000 cents 4: 4 547.63000 cents 4: 4 649.28000 cents 5: 5 709.95000 cents 5: 3 811.60000 cents 6: 6 872.27000 cents 6: 2 973.92000 cents 7: 7 1034.59000 cents 7: 1 1136.24000 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 8 0.0 : 162.3 324.6 487.0 649.3 710.0 872.3 1034.6 1196.9 162.3 : 162.3 324.6 487.0 547.6 709.9 872.3 1034.6 1196.9 324.6 : 162.3 324.6 385.3 547.6 709.9 872.3 1034.6 1196.9 487.0 : 162.3 223.0 385.3 547.6 709.9 872.3 1034.6 1196.9 649.3 : 60.7 223.0 385.3 547.6 709.9 872.3 1034.6 1196.9 710.0 : 162.3 324.6 487.0 649.3 811.6 973.9 1136.2 1196.9 872.3 : 162.3 324.6 487.0 649.3 811.6 973.9 1034.6 1196.9 1034.6: 162.3 324.6 487.0 649.3 811.6 872.3 1034.6 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 60.6700 .. 162.3200 cents 101.65000 cents 60.67000 cents 2: 222.9900 .. 324.6400 cents 101.65000 cents 60.67000 cents 3: 385.3100 .. 486.9600 cents 101.65000 cents 60.67000 cents 4: 547.6300 .. 649.2800 cents 101.65000 cents 60.67000 cents 5: 709.9500 .. 811.6000 cents 101.65000 cents 60.67000 cents 6: 872.2700 .. 973.9200 cents 101.65000 cents 60.67000 cents 7: 1034.5900 .. 1136.2400 cents 101.65000 cents 60.67000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 60.67000 cents, class 1 Average step (divided formal octave): 149.6138 cents Largest one step interval : 162.32000 cents Average / Smallest step : 2.466025 Largest / Average step : 1.084927 Largest / Smallest step : 2.675457 Median interval of one step : 162.32000 cents, amount: 7 Most common interval of one step : 162.32000 cents, amount: 7 Least squares average step : 149.36461 cents, oct.: 1194.91686 cents Scale is strictly proper Scale has Myhill's property chromas: 101.65000 cents and 40.98000 cents, ratio: 2.480478 generators: 1 of 162.32000 cents and 7 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: 99 198 297 396 433 532 631 730 generators: 99 and 631 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAA Step pattern size order : LLLLSLLL Scale is a Constant Structure, by a margin of 60.67000 cents Scale diversity : 1.273446 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.405511 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 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: 7 Scale is a chain of 4 triads 0.0 486.960 1034.590 cents Most common triad is 0.0 162.320 1034.590 cents, amount: 6 Number of recognisable fifths : 5, average 709.9500 cents Number of recognisable fourths : 5, average 486.9600 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 4-5 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 29.7988 c. M: 50.8250 c. 13: 2 1 2 2 0 2 2 2 N SD: 35.7390 c. M: 65.4600 c. 14: 2 2 2 2 0 2 2 2 P M DE SD: 20.3263 c. M:-34.6686 c. 15: 2 2 2 2 1 2 2 2 SP M ME SD: 6.4071 c. M: 10.9280 c. 22: 3 3 3 3 1 3 3 3 SP M DE SD: 2.0990 c. M:-3.5800 c. 37: 5 5 5 5 2 5 5 5 SP M DE SD: 1.3494 c. M: 2.3016 c. 59: 8 8 8 8 3 8 8 8 SP M DE SD: 0.0636 c. M: 0.1085 c. 376: 51 51 51 51 19 51 51 51 SP M DE SD: 0.0629 c. M:-0.1073 c. 435: 59 59 59 59 22 59 59 59 SP M DE SD: 0.0458 c. M:-0.0781 c. 494: 67 67 67 67 25 67 67 67 SP M DE SD: 0.0327 c. M:-0.0558 c. 553: 75 75 75 75 28 75 75 75 SP M DE SD: 0.0224 c. M:-0.0383 c. 612: 83 83 83 83 31 83 83 83 SP M DE SD: 0.0141 c. M:-0.0241 c. 671: 91 91 91 91 34 91 91 91 SP M DE SD: 0.0073 c. M:-0.0125 c. 730: 99 99 99 99 37 99 99 99 SP M DE SD: 0.0016 c. M:-0.0027 c. 1519: 206 206 206 206 77 206 206 206 SP M DE SD: 0.0010 c. M: 0.0016 c. 2249: 305 305 305 305 114 305 305 305 SP M DE SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 3.0900 cents 2 x x x x 3 x x 4 S SD: 4.2857 cents 3 x x 4 x x 5 x 6 S SD: 5.5634 cents 4 x 5 x x 6 x 7:8 S SD: 22.6413 cents 5 x 6 x 7 x 8:9:10 S SD: 18.1871 cents 6 x 7:8 x 9:10:11:12 S SD: 10.4056 cents 7:8 x 9:10:11:12:13:14 S SD: 19.5854 cents 8:9:10:11 x 12:13:15:16 SD: 16.6830 cents 9:10:11:12:13:14:15:16:18 S SD: 9.5722 cents 10:11:12:13 x 15:17:18:20 SD: 8.6580 cents 15:16:18:20:22:23:25:27:30 SD: 8.1973 cents 16:18:19:21:23:24:26:29:32 SD: 8.1727 cents 18:20:22:24:26:27:30:33:36 S SD: 5.0664 cents 20:22:24:27:29:30:33:36:40 SD: 4.9640 cents 22:24:27:29:32:33:36:40:44 SD: 4.9495 cents 24:26:29:32:35:36:40:44:48 SD: 4.2367 cents 28:31:34:37:41:42:46:51:56 SD: 3.3419 cents 31:34:37:41:45:47:51:56:62 SD: 3.3356 cents 33:36:40:44:48:50:55:60:66 S SD: 2.9963 cents 38:42:46:50:55:57:63:69:76 SD: 2.7021 cents 39:43:47:52:57:59:65:71:78 SD: 2.6159 cents 40:44:48:53:58:60:66:73:80 SD: 2.0673 cents 49:54:59:65:71:74:81:89:98 SD: 1.4340 cents 73:80:88:97:106:110:121:133:146 SD: 1.1640 cents 81:89:98:107:118:122:134:147:162 SD: 1.0882 cents 83:91:100:110:121:125:137:151:166 SD: 0.9627 cents 92:101:111:122:134:139:152:167:184 SD: 0.8960 cents 101:111:122:134:147:152:167:184:202 SD: 0.8451 cents 121:133:146:160:176:182:200:220:242 SD: 0.7772 cents 130:143:157:172:189:196:215:236:260 SD: 0.7475 cents 132:145:159:175:192:199:218:240:264 SD: 0.7076 cents 142:156:171:188:207:214:235:258:283 SD: 0.6860 cents 154:169:186:204:224:232:255:280:307 SD: 0.4807 cents 185:203:223:245:269:279:306:336:369 SD: 0.4576 cents 194:213:234:257:282:292:321:353:387 SD: 0.4445 cents 203:223:245:269:295:306:336:369:405 SD: 0.3452 cents 246:270:297:326:358:371:407:447:491 SD: 0.3273 cents 252:277:304:334:367:380:417:458:503 SD: 0.3221 cents 253:278:305:335:368:381:419:460:505 SD: 0.3015 cents 286:314:345:379:416:431:473:520:571 SD: 0.2079 cents 296:325:357:392:431:446:490:538:591 SD: 0.1970 cents 345:379:416:457:502:520:571:627:689 SD: 0.1385 cents 499:548:602:661:726:752:826:907:996 SD: 0.0776 cents