Scala analysis: xen18-erlich-sensisept-03
2L 1s MOS for Sensisept, L=443.16, s=312.07
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 443.160 cents 443.160000 2: 755.230 cents 755.230000 3: 1198.390 cents 1198.390000
SHOW/INTERVAL
0: 443.1600 cents 443.1600 1: 443.1600 cents 443.1600 2: 312.0700 cents 312.0700 3: 443.1600 cents 443.1600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 312.07000 cents 1: 2 443.16000 cents 2: 2 755.23000 cents 2: 1 886.32000 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 0.0 : 443.2 755.2 1198.4 443.2 : 312.1 755.2 1198.4 755.2 : 443.2 886.3 1198.4 1198.4
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 312.0700 .. 443.1600 cents 131.09000 cents 312.07000 cents 2: 755.2300 .. 886.3200 cents 131.09000 cents 312.07000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 312.07000 cents, class 1 Average step (divided formal octave): 399.4633 cents Largest one step interval : 443.16000 cents Average / Smallest step : 1.280044 Largest / Average step : 1.109388 Largest / Smallest step : 1.420066 Median interval of one step : 443.16000 cents, amount: 2 Most common interval of one step : 443.16000 cents, amount: 2 Least squares average step : 396.34214 cents, oct.: 1189.02643 cents Scale is strictly proper Scale has Myhill's property chromas: 131.09000 cents and 180.98000 cents, ratio: 1.380578 generators: 1 of 443.16000 cents and 2 of 755.23000 cents ET pair of linear temperament : 19&27 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 192-tone equal temperament with octave 1198.390 cents degrees: 71 121 192 generators: 71 and 121 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : LSL Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ] Scale is a Constant Structure, by a margin of 312.07000 cents Scale diversity : 1.351027 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.781223 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 131.09000 cents Most common intervals : 443.16000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 35.6782 c. M:-43.6967 c. 5: 2 1 2 SP M ME I SD: 29.5539 c. M:-36.1960 c. 8: 3 2 3 SP M ME I SD: 5.0919 c. M:-6.2363 c. 19: 7 5 7 SP M DE I SD: 1.3455 c. M:-1.6479 c. 27: 10 7 10 SP M DE I SD: 0.5619 c. M:-0.6881 c. 46: 17 12 17 SP M DE I SD: 0.2260 c. M:-0.2767 c. 73: 27 19 27 SP M DE I SD: 0.0654 c. M:-0.0801 c. 119: 44 31 44 SP M DE I SD: 0.0472 c. M:-0.0578 c. 192: 71 50 71 SP M DE I SD: 0.0044 c. M:-0.0054 c. 649: 240 169 240 SP M DE I SD: 0.0035 c. M:-0.0043 c. 841: 311 219 311 SP M DE I SD: 0.0017 c. M:-0.0021 c. 1033: 382 269 382 SP M DE I SD: 0.0006 c. M:-0.0007 c. 1225: 453 319 453 SP M DE I SD: 0.0002 c. M:-0.0003 c. 2258: 835 588 835 SP M DE I SD: 0.0001 c. M:-0.0002 c.
FIT/HARMONIC
1 x x 2 S SD: 1.6100 cents 2 x 3:4 S SD: 26.6497 cents 4:5:6:8 S SD: 25.9750 cents 6:8:9:12 S SD: 25.5020 cents 7:9:11:14 SD: 9.4929 cents 11:14:17:22 SD: 8.5839 cents 13:17:20:26 SD: 7.7753 cents 17:22:26:34 SD: 6.6606 cents 20:26:31:40 SD: 3.9012 cents 24:31:37:48 SD: 2.0198 cents 31:40:48:62 SD: 0.9993 cents 55:71:85:110 SD: 0.8385 cents 86:111:133:172 SD: 0.7196 cents 106:137:164:212 SD: 0.6367 cents 137:177:212:274 SD: 0.5873 cents 161:208:249:322 SD: 0.5549 cents 192:248:297:384 SD: 0.5373 cents 278:359:430:555 SD: 0.5289 cents 291:376:450:581 SD: 0.5175 cents 298:385:461:595 SD: 0.4451 cents 322:416:498:643 SD: 0.3868 cents 329:425:509:657 SD: 0.3534 cents 353:456:546:705 SD: 0.2870 cents 377:487:583:753 SD: 0.2867 cents 384:496:594:767 SD: 0.2169 cents 408:527:631:815 SD: 0.2077 cents 415:536:642:829 SD: 0.1792 cents 439:567:679:877 SD: 0.1545 cents 459:593:710:917 SD: 0.1333 cents 490:633:758:979 SD: 0.0758 cents 521:673:806:1041 SD: 0.0587 cents 545:704:843:1089 SD: 0.0344 cents