Scala analysis: horixens-07-septillion-reptilians
Sevish: Septillion Reptilians, Horixens
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.195 cents 203.194890 2: 249.201 cents 249.201280 3: 452.396 cents 452.396170 4: 498.403 cents 498.402560 5: 701.597 cents 701.597440 6: 747.604 cents 747.603830 7: 950.799 cents 950.798720 8: 996.805 cents 996.805110 9: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 203.1949 cents 203.1949 1: 203.1949 cents 203.1949 2: 46.0064 cents 46.0064 3: 203.1949 cents 203.1949 4: 46.0064 cents 46.0064 5: 203.1949 cents 203.1949 6: 46.0064 cents 46.0064 7: 203.1949 cents 203.1949 8: 46.0064 cents 46.0064 9: 203.1949 cents 203.1949
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 46.00639 cents 1: 5 203.19489 cents 2: 8 249.20128 cents 2: 1 406.38978 cents 3: 3 295.20767 cents 3: 6 452.39617 cents 4: 7 498.40256 cents 4: 2 655.59106 cents 5: 2 544.40894 cents 5: 7 701.59744 cents 6: 6 747.60383 cents 6: 3 904.79233 cents 7: 1 793.61022 cents 7: 8 950.79872 cents 8: 5 996.80511 cents 8: 4 1153.99361 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 9 0.0 : 203.2 249.2 452.4 498.4 701.6 747.6 950.8 996.8 1200.0 203.2 : 46.0 249.2 295.2 498.4 544.4 747.6 793.6 996.8 1200.0 249.2 : 203.2 249.2 452.4 498.4 701.6 747.6 950.8 1154.0 1200.0 452.4 : 46.0 249.2 295.2 498.4 544.4 747.6 950.8 996.8 1200.0 498.4 : 203.2 249.2 452.4 498.4 701.6 904.8 950.8 1154.0 1200.0 701.6 : 46.0 249.2 295.2 498.4 701.6 747.6 950.8 996.8 1200.0 747.6 : 203.2 249.2 452.4 655.6 701.6 904.8 950.8 1154.0 1200.0 950.8 : 46.0 249.2 452.4 498.4 701.6 747.6 950.8 996.8 1200.0 996.8 : 203.2 406.4 452.4 655.6 701.6 904.8 950.8 1154.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 46.0064 .. 203.1949 cents 157.18850 cents 46.00639 cents 2: 249.2013 .. 406.3898 cents 157.18850 cents 46.00639 cents 3: 295.2077 .. 452.3962 cents 157.18850 cents -111.18211 cents 4: 498.4026 .. 655.5911 cents 157.18850 cents 46.00639 cents 5: 544.4089 .. 701.5974 cents 157.18850 cents -111.18212 cents 6: 747.6038 .. 904.7923 cents 157.18850 cents 46.00639 cents 7: 793.6102 .. 950.7987 cents 157.18850 cents -111.18211 cents 8: 996.8051 .. 1153.9936 cents 157.18850 cents 46.00639 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 46.00639 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 203.19489 cents Average / Smallest step : 2.898148 Largest / Average step : 1.523962 Largest / Smallest step : 4.416667 Median interval of one step : 203.19489 cents, amount: 5 Most common interval of one step : 203.19489 cents, amount: 5 Least squares average step : 131.49487 cents, oct.: 1183.45384 cents Scale is not proper Scale has Myhill's property chromas: 157.18850 cents and 111.18211 cents, ratio: 1.413793 generators: 2 of 249.20128 cents and 7 of 950.79872 cents ET pair of linear temperament : 24&53 Scale is distributional even Scale is a mode of a 313-tone equal temperament with octave 2/1 degrees: 53 65 118 130 183 195 248 260 313 generators: 65 and 248 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABA Step pattern size order : LSLSLSLSL Scale is a Constant Structure, by a margin of 46.00638 cents Scale diversity : 1.162737 Lumma stability : 0.230032 Lumma impropriety factor : 0.277955 Rothenberg efficiency : 0.740741 redundancy: 0.259259 Efficiency x scale size : 6.666667 Number of different interval sizes : 16 = 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 : 46.00638 cents Most common intervals : 249.20128 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 249.201 498.403 cents Most common triad is 0.0 249.201 950.799 cents, amount: 7 Number of recognisable fifths : 7, average 701.5974 cents Scale contains two identical conjunct pentachords Formal octave complements present : 9 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 4-5 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
9: 1 1 1 0 2 0 2 0 2 N T3 SD: 57.4638 c. M: 98.4026 c. 10: 2 0 2 0 2 0 2 0 2 N M DE I SD: 23.7576 c. M: 36.8051 c. 14: 2 1 2 1 2 1 2 1 2 P M ME I SD: 20.5051 c. M: 31.7663 c. Semaphore-9 16: 3 0 3 1 2 1 3 0 3 N I SD: 19.8569 c. M:-26.5974 c. 18: 3 1 3 0 4 0 3 1 3 N I SD: 18.4153 c. M: 31.7359 c. 19: 3 1 3 1 3 1 3 1 3 N M DE I SD: 8.8570 c. M: 13.7212 c. Semaphore-9 24: 4 1 4 1 4 1 4 1 4 N M DE I SD: 2.0623 c. M: 3.1949 c. de Vries 9-tone, Semaphore-9 53: 9 2 9 2 9 2 9 2 9 N M DE I SD: 0.3735 c. M: 0.5787 c. 130: 22 5 22 5 22 5 22 5 22 N M DE I SD: 0.0761 c. M: 0.1180 c. 183: 31 7 31 7 31 7 31 7 31 N M DE I SD: 0.0541 c. M: 0.0838 c. 313: 53 12 53 12 53 12 53 12 53 N M DE I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x 4 S SD: 0.1788 cents 3 x x x 4 x x 5 x 6 S SD: 22.1470 cents 4 x x 5 x 6 x 7 x 8 S SD: 17.1245 cents 5 x 6 x 7 x 8 x 9:10 S SD: 25.5248 cents 6 x 7 x 8:9 x 10:11:12 S SD: 14.4232 cents 7 x 8:9 x x 11:12 x 14 SD: 9.2824 cents 8:9 x 10:11:12 x 14 x 16 S SD: 14.4266 cents 9:10 x x 12 x 14 x 16:18 S SD: 5.4134 cents 10:11:12:13 x 15 x 17:18:20 SD: 12.2413 cents 11:12:13:14:15 x 17:19:20:22 SD: 11.5801 cents 12 x 14 x 16:18 x 21 x 24 S SD: 5.0496 cents 13 x 15:17 x x 20 x 23:26 SD: 3.0480 cents 14 x 16:18:19:21:22:24:25:28 SD: 6.9825 cents 15:17 x 19:20 x 23:26:27:30 SD: 7.1946 cents 16:18 x 21 x 24:25:28 x 32 SD: 5.9856 cents 18:20:21:23:24:27:28:31:32:36 SD: 4.8741 cents 19:21:22:25 x 28:29:33:34:38 SD: 6.5304 cents 20:22:23:26:27:30:31:35:36:40 SD: 5.9239 cents 21 x 24:27:28:31:32:36:37:42 SD: 5.9771 cents 22:25 x x 29:33:34:38:39:44 SD: 4.0994 cents 24:27:28:31:32:36:37:42:43:48 SD: 3.3160 cents 26:29:30:34:35:39:40:45:46:52 SD: 2.9322 cents 29:33 x 38:39:43:45:50:52:58 SD: 5.1368 cents 30:34:35:39:40:45:46:52:53:60 SD: 2.9219 cents 33:37:38:43:44:49:51:57:59:66 SD: 2.5385 cents 40:45:46:52:53:60:62:69:71:80 SD: 2.1221 cents 46:52:53:60:61:69:71:80:82:92 SD: 2.0320 cents 50:56:58:65:67:75:77:87:89:100 SD: 1.7524 cents 56:63:65:73:75:84:86:97:100:112 SD: 1.7522 cents 57:64:66:74:76:85:88:99:101:114 SD: 1.6044 cents 63:71:73:82:84:94:97:109:112:126 SD: 1.3405 cents 64:72:74:83:85:96:99:111:114:128 SD: 1.2819 cents 72:81:83:94:96:108:111:125:128:144 SD: 1.1988 cents 78:88:90:101:104:117:120:135:139:156 SD: 0.9675 cents 90:101:104:117:120:135:139:156:160:180 SD: 0.7383 cents 96:108:111:125:128:144:148:166:171:192 SD: 0.7373 cents 104:117:120:135:139:156:160:180:185:208 SD: 0.5257 cents 144:162:166:187:192:216:222:249:256:288 SD: 0.5113 cents 168:189:194:218:224:252:259:291:299:336 SD: 0.3013 cents 194:218:224:252:259:291:299:336:345:388 SD: 0.2990 cents 258:290:298:335:344:387:397:447:459:516 SD: 0.2219 cents 348:391:402:452:464:522:536:603:619:696 SD: 0.2143 cents 369:415:426:479:492:553:568:639:656:738 SD: 0.2141 cents 392:441:453:509:523:588:604:679:697:784 SD: 0.2111 cents 402:452:464:522:536:603:619:696:715:804 SD: 0.1367 cents 522:587:603:678:696:783:804:904:928:1044 SD: 0.1198 cents 600:675:693:779:800:900:924:1039:1067:1200 SD: 0.1156 cents