Scala analysis: xen18-erlich-magic-04
3L 1s MOS for Magic, L=380.80, s=58.88
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 380.800 cents 380.800000 2: 439.680 cents 439.680000 3: 820.480 cents 820.480000 4: 1201.280 cents 1201.280000
SHOW/INTERVAL
0: 380.8000 cents 380.8000 1: 380.8000 cents 380.8000 2: 58.8800 cents 58.8800 3: 380.8000 cents 380.8000 4: 380.8000 cents 380.8000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 58.88000 cents 1: 3 380.80000 cents 2: 2 439.68000 cents 2: 2 761.60000 cents 3: 3 820.48000 cents 3: 1 1142.40000 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 0.0 : 380.8 439.7 820.5 1201.3 380.8 : 58.9 439.7 820.5 1201.3 439.7 : 380.8 761.6 1142.4 1201.3 820.5 : 380.8 761.6 820.5 1201.3 1201.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.8800 .. 380.8000 cents 321.92000 cents 58.88000 cents 2: 439.6800 .. 761.6000 cents 321.92000 cents 58.88000 cents 3: 820.4800 .. 1142.4000 cents 321.92000 cents 58.88000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 58.88000 cents, class 1 Average step (divided formal octave): 300.3200 cents Largest one step interval : 380.80000 cents Average / Smallest step : 5.100543 Largest / Average step : 1.267981 Largest / Smallest step : 6.467391 Median interval of one step : 380.80000 cents, amount: 3 Most common interval of one step : 380.80000 cents, amount: 3 Least squares average step : 284.22400 cents, oct.: 1136.89600 cents Scale is strictly proper Scale has Myhill's property chromas: 321.92000 cents and 263.04000 cents, ratio: 1.223844 generators: 1 of 380.80000 cents and 3 of 820.48000 cents ET pair of linear temperament : 19&41 Scale is distributional even Scale is a mode of a 306-tone equal temperament with octave 1201.280 cents degrees: 97 112 209 306 generators: 97 and 209 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : LSLL Scale is a Constant Structure, by a margin of 58.88000 cents Scale diversity : 1.075500 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.196058 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 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 : 58.88000 cents Most common intervals : 380.80000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 380.800 820.480 cents Most common triad is 0.0 380.800 820.480 cents, amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 3-4 -- Rational properties --
FIT/MODE
4: 1 0 1 2 N D3 SD: 136.2240 c. M: 219.8400 c. 5: 1 0 2 2 N G SD: 131.7811 c. M: 199.4240 c. 6: 2 0 2 2 P M DE SD: 24.0377 c. M: 39.2533 c. 13: 4 1 4 4 SP M DE SD: 13.6870 c. M:-22.3508 c. 16: 5 1 5 5 SP M DE SD: 6.6136 c. M:-10.8000 c. 19: 6 1 6 6 SP M DE SD: 1.7739 c. M:-2.8968 c. 22: 7 1 7 7 SP M DE SD: 1.7458 c. M: 2.8509 c. 41: 13 2 13 13 SP M DE SD: 0.1147 c. M: 0.1873 c. 183: 58 9 58 58 SP M DE SD: 0.0814 c. M:-0.1329 c. 224: 71 11 71 71 SP M DE SD: 0.0455 c. M:-0.0743 c. 265: 84 13 84 84 SP M DE SD: 0.0207 c. M:-0.0338 c. 306: 97 15 97 97 SP M DE SD: 0.0026 c. M:-0.0042 c. 959: 304 47 304 304 SP M DE SD: 0.0025 c. M: 0.0040 c. 1265: 401 62 401 401 SP M DE SD: 0.0012 c. M: 0.0020 c. 1571: 498 77 498 498 SP M DE SD: 0.0005 c. M: 0.0008 c. 1877: 595 92 595 595 SP M DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 1.2800 cents 2 x x 3:4 S SD: 59.2660 cents 3 x 4:5:6 S SD: 28.8456 cents 4:5 x 6:8 S SD: 39.5534 cents 5:6 x 8:10 S SD: 21.8415 cents 7 x 9:11:14 SD: 12.7621 cents 8:10 x 13:16 SD: 6.9438 cents 11 x 14:18:22 SD: 13.0146 cents 12:15 x 19:24 SD: 8.5189 cents 15:19 x 24:30 SD: 9.7575 cents 16:20:21:26:32 SD: 9.3582 cents 17:21:22:27:34 SD: 6.3911 cents 19:24 x 31:38 SD: 11.9809 cents 20:25:26:32:40 SD: 4.2532 cents 25:31:32:40:50 SD: 4.1056 cents 28:35:36:45:56 SD: 1.8372 cents 41:51:53:66:82 SD: 1.7130 cents 66:82:85:106:132 SD: 1.3611 cents 69:86:89:111:138 SD: 0.7716 cents 114:142:147:183:228 SD: 0.4612 cents 142:177:183:228:284 SD: 0.4202 cents 183:228:236:294:366 SD: 0.3687 cents 211:263:272:339:422 SD: 0.3639 cents 325:405:419:522:650 SD: 0.3269 cents 391:487:504:628:783 SD: 0.2970 cents 394:491:508:633:789 SD: 0.2599 cents 419:522:540:673:839 SD: 0.2402 cents 439:547:566:705:879 SD: 0.2065 cents 467:582:602:750:935 SD: 0.1827 cents 488:608:629:784:977 SD: 0.1630 cents 508:633:655:816:1017 SD: 0.1332 cents 536:668:691:861:1073 SD: 0.1207 cents