Scala analysis: xen18-erlich-pajara-08
2L 6s MOS for Pajara, L=278.74, s=106.57
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 106.570 cents 106.570000 2: 213.140 cents 213.140000 3: 491.880 cents 491.880000 4: 598.450 cents 598.450000 5: 705.020 cents 705.020000 6: 811.590 cents 811.590000 7: 1090.330 cents 1090.330000 8: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 106.5700 cents 106.5700 1: 106.5700 cents 106.5700 2: 106.5700 cents 106.5700 3: 278.7400 cents 278.7400 4: 106.5700 cents 106.5700 5: 106.5700 cents 106.5700 6: 106.5700 cents 106.5700 7: 278.7400 cents 278.7400 8: 106.5700 cents 106.5700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 106.57000 cents 1: 2 278.74000 cents 2: 4 213.14000 cents 2: 4 385.31000 cents 3: 2 319.71000 cents 3: 6 491.88000 cents 4: 8 598.45000 cents 5: 6 705.02000 cents 5: 2 877.19000 cents 6: 4 811.59000 cents 6: 4 983.76000 cents 7: 2 918.16000 cents 7: 6 1090.33000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.85714 = 13/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 106.6 213.1 491.9 598.4 705.0 811.6 1090.3 1196.9 106.6 : 106.6 385.3 491.9 598.4 705.0 983.8 1090.3 1196.9 213.1 : 278.7 385.3 491.9 598.4 877.2 983.8 1090.3 1196.9 491.9 : 106.6 213.1 319.7 598.4 705.0 811.6 918.2 1196.9 598.4 : 106.6 213.1 491.9 598.4 705.0 811.6 1090.3 1196.9 705.0 : 106.6 385.3 491.9 598.4 705.0 983.8 1090.3 1196.9 811.6 : 278.7 385.3 491.9 598.5 877.2 983.8 1090.3 1196.9 1090.3: 106.6 213.1 319.7 598.5 705.0 811.6 918.2 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.5700 .. 278.7400 cents 172.17000 cents 106.57000 cents 2: 213.1400 .. 385.3100 cents 172.17000 cents -65.60000 cents 3: 319.7100 .. 491.8800 cents 172.17000 cents -65.60000 cents 4: 598.4500 .. 598.4500 cents 1/1, 0.0000 cents 106.57000 cents 5: 705.0200 .. 877.1900 cents 172.17000 cents 106.57000 cents 6: 811.5900 .. 983.7600 cents 172.17000 cents -65.60000 cents 7: 918.1600 .. 1090.3300 cents 172.17000 cents -65.60000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 106.57000 cents, class 1 Average step (divided formal octave): 149.6125 cents Largest one step interval : 278.74000 cents Average / Smallest step : 1.403889 Largest / Average step : 1.863080 Largest / Smallest step : 2.615558 Median interval of one step : 106.57000 cents, amount: 6 Most common interval of one step : 106.57000 cents, amount: 6 Least squares average step : 147.08059 cents, oct.: 1176.64471 cents Scale is not proper Scale has 2 repeating blocks of 4 notes Blocks have Myhill's property chromas: 172.17000 cents and 65.60000 cents, ratio: 2.624543 generators: 1 of 106.57000 cents and 3 of 491.88000 cents ET pair of linear temperament : 22&34 Scale is distributional even Step pattern alph. order: AABAAABA Step pattern size order : SSLSSSLS Scale is a Constant Structure, by a margin of 40.97000 cents Scale diversity : 1.230952 Lumma stability : 0.356153 Lumma impropriety factor : 0.219233 Rothenberg efficiency (ambiguous key): 0.525000 redundancy: 0.475000 Efficiency x scale size : 4.200000 Number of different interval sizes : 13 = 1.85714 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.85714 = 13/7 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 40.97000 cents Most common intervals : 598.45000 cents & inv., amount: 8 Number of recognisable fifths : 6, average 705.0200 cents Number of recognisable fourths : 6, average 491.8800 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 6 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 4 Limited inverse transpositions : 1 5 Inversional symmetry on intervals : 0-1 2-3 4-5 6-7 -- Rational properties --
FIT/MODE
8: 0 1 2 1 0 1 2 1 N B D3 SD: 65.6612 c. M: 106.5700 c. 9: 0 1 2 1 1 1 2 1 N D3 SD: 64.5429 c. M: 106.5700 c. 10: 1 1 2 1 1 1 2 1 P B ME SD: 16.0687 c. M:-26.2400 c. Supersharp-8 12: 1 1 3 1 1 1 3 1 N B DE SD: 8.3630 c. M: 13.6567 c. Tcherepnin Octatonic mode 2 22: 2 2 5 2 2 2 5 2 N B DE SD: 2.7423 c. M:-4.4782 c. 34: 3 3 8 3 3 3 8 3 N B DE SD: 1.1772 c. M: 1.9224 c. 56: 5 5 13 5 5 5 13 5 N B DE SD: 0.3626 c. M:-0.5921 c. 90: 8 8 21 8 8 8 21 8 N B DE SD: 0.2191 c. M: 0.3578 c. 146: 13 13 34 13 13 13 34 13 N B DE SD: 0.0040 c. M:-0.0066 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 3.1000 cents 2 x x x x 3 x x 4 S SD: 2.1797 cents 3 x x 4 x x 5 x 6 S SD: 24.3651 cents 4 x x 5 x 6 x x 8 S SD: 35.2188 cents 5 x 6 x 7 x 8:9:10 S SD: 25.3493 cents 6 x 7:8 x 9:10:11:12 S SD: 16.5979 cents 7 x 8:9:10 x 11:13:14 SD: 11.9219 cents 8 x 9 x 11:12:13:15:16 SD: 9.3797 cents 9 x 10:12:13 x 14:17:18 SD: 11.4775 cents 10 x 11:13:14:15:16:19:20 SD: 9.5284 cents 11:12 x 15:16:17:18:21:22 S SD: 15.2528 cents 12:13:14:16:17:18:19:23:24 SD: 9.3049 cents 14:15:16:19:20:21:22:26:28 SD: 7.3110 cents 15:16:17:20:21:23:24:28:30 SD: 5.1002 cents 22:23:25:29:31:33:35:41:44 SD: 4.6593 cents 28:30:32:37:40:42:45:53:56 SD: 4.4408 cents 30:32:34:40:42:45:48:56:60 SD: 2.6521 cents 45:48:51:60:64:68:72:84:90 SD: 2.5290 cents 46:49:52:61:65:69:74:86:92 SD: 1.8556 cents 48:51:54:64:68:72:77:90:96 SD: 1.8256 cents 60:64:68:80:85:90:96:113:120 SD: 1.5455 cents 67:71:76:89:95:101:107:126:134 SD: 1.5403 cents 75:80:85:100:106:113:120:141:150 SD: 1.3649 cents 77:82:87:102:109:116:123:145:154 SD: 1.2753 cents 82:87:93:109:116:123:131:154:164 SD: 1.0050 cents 92:98:104:122:130:138:147:173:184 SD: 0.8582 cents 107:114:121:142:151:161:171:201:214 SD: 0.7350 cents 145:154:164:193:205:218:232:272:289 SD: 0.7033 cents 155:165:175:206:219:233:248:291:309 SD: 0.6046 cents 174:185:197:231:246:261:278:327:347 SD: 0.5989 cents 177:188:200:235:250:266:283:332:353 SD: 0.4891 cents 189:201:214:251:267:284:302:355:377 SD: 0.3437 cents 237:252:268:315:335:356:379:445:473 SD: 0.2297 cents 283:301:320:376:400:425:452:531:565 SD: 0.2251 cents 344:366:389:457:486:517:550:646:687 SD: 0.1864 cents 472:502:534:627:667:709:754:886:942 SD: 0.1564 cents 487:518:551:647:688:732:778:914:972 SD: 0.1512 cents 535:569:605:711:756:804:855:1004:1068 SD: 0.1051 cents