Scala analysis: xen18-erlich-wurschmidt-02
1L 1s MOS for Wurschmidt, L=812.05, s=387.64
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 387.640 cents 387.640000 2: 1199.690 cents 1199.690000
SHOW/INTERVAL
0: 812.0500 cents 812.0500 1: 387.6400 cents 387.6400 2: 812.0500 cents 812.0500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 387.64000 cents 1: 1 812.05000 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 0.0 : 387.6 1199.7 387.6 : 812.1 1199.7 1199.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 387.6400 .. 812.0500 cents 424.41000 cents 387.64000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 387.64000 cents, class 1 Average step (divided formal octave): 599.8450 cents Largest one step interval : 812.05000 cents Average / Smallest step : 1.547428 Largest / Average step : 1.353766 Largest / Smallest step : 2.094856 Median interval of one step : 599.84500 cents, amount: 0 Least squares average step : 557.40400 cents, oct.: 1114.80800 cents Scale is strictly proper Scale has Myhill's property chromas: 424.41000 cents and 36.77000 cents, ratio: 11.542290 generator: 1 of 387.64000 cents ET pair of linear temperament : 31&34 Scale is distributional even Scale is a mode of a 359-tone equal temperament with octave 1199.690 cents degrees: 116 359 generator: 116 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : SL Scale is a Constant Structure, by a margin of 387.64000 cents Scale diversity : 1.582976 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.646234 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 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 : 424.41000 cents Most common intervals : 387.64000 cents & inv., amount: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Steps are strictly increasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 150.0516 c. M:-212.2050 c. 3: 1 2 SP M ME SD: 8.6668 c. M:-12.2567 c. 19: 6 13 SP M DE SD: 6.2158 c. M: 8.7905 c. 22: 7 15 SP M DE SD: 4.1864 c. M: 5.9205 c. 25: 8 17 SP M DE SD: 2.6440 c. M: 3.7392 c. 28: 9 19 SP M DE SD: 1.4321 c. M: 2.0254 c. 31: 10 21 SP M DE SD: 0.4548 c. M: 0.6432 c. 34: 11 23 SP M DE SD: 0.3500 c. M:-0.4950 c. 65: 21 44 SP M DE SD: 0.0338 c. M: 0.0478 c. 229: 74 155 SP M DE SD: 0.0232 c. M:-0.0328 c. 294: 95 199 SP M DE SD: 0.0106 c. M:-0.0149 c. 359: 116 243 SP M DE SD: 0.0025 c. M:-0.0036 c. 783: 253 530 SP M DE SD: 0.0005 c. M: 0.0007 c. 1142: 369 773 SP M DE SD: 0.0005 c. M:-0.0006 c. 1925: 622 1303 SP M DE SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x 2 S SD: 0.3100 cents 187:234:374 SD: 0.3045 cents 191:239:382 SD: 0.2880 cents 195:244:390 SD: 0.2726 cents 199:249:398 SD: 0.2581 cents 203:254:406 SD: 0.2446 cents 207:259:414 SD: 0.2321 cents 211:264:422 SD: 0.2206 cents 215:269:430 SD: 0.2100 cents 219:274:438 SD: 0.2004 cents 223:279:446 SD: 0.1917 cents 227:284:454 SD: 0.1840 cents 231:289:462 SD: 0.1773 cents 235:294:470 SD: 0.1714 cents 239:299:478 SD: 0.1665 cents 243:304:486 SD: 0.1626 cents 247:309:494 SD: 0.1595 cents 251:314:502 SD: 0.1572 cents 255:319:510 SD: 0.1558 cents 259:324:518 SD: 0.1551 cents 522:653:1044 SD: 0.1550 cents