Scala analysis: xen18-erlich-tetracot-04
1L 3s MOS for Tetracot, L=670.70, s=176.11
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.110 cents 176.110000 2: 846.810 cents 846.810000 3: 1022.920 cents 1022.920000 4: 1199.030 cents 1199.030000
SHOW/INTERVAL
0: 176.1100 cents 176.1100 1: 176.1100 cents 176.1100 2: 670.7000 cents 670.7000 3: 176.1100 cents 176.1100 4: 176.1100 cents 176.1100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 176.11000 cents 1: 1 670.70000 cents 2: 2 352.22000 cents 2: 2 846.81000 cents 3: 1 528.33000 cents 3: 3 1022.92000 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 : 176.1 846.8 1022.9 1199.0 176.1 : 670.7 846.8 1022.9 1199.0 846.8 : 176.1 352.2 528.3 1199.0 1022.9: 176.1 352.2 1022.9 1199.0 1199.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 176.1100 .. 670.7000 cents 494.59000 cents 176.11000 cents 2: 352.2200 .. 846.8100 cents 494.59000 cents -318.48000 cents 3: 528.3300 .. 1022.9200 cents 494.59000 cents -318.48000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 176.11000 cents, class 1 Average step (divided formal octave): 299.7575 cents Largest one step interval : 670.70000 cents Average / Smallest step : 1.702104 Largest / Average step : 2.237475 Largest / Smallest step : 3.808415 Median interval of one step : 176.11000 cents, amount: 3 Most common interval of one step : 176.11000 cents, amount: 3 Least squares average step : 324.48700 cents, oct.: 1297.94800 cents Scale is not proper Scale has Myhill's property chromas: 494.59000 cents and 318.48000 cents, ratio: 1.552970 generators: 1 of 176.11000 cents and 3 of 1022.92000 cents ET pair of linear temperament : 34&143 Scale is distributional even Scale is a mode of a 320-tone equal temperament with octave 1199.030 cents degrees: 47 226 273 320 generators: 47 and 273 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : SLSS Scale is a Constant Structure, by a margin of 142.37000 cents Scale diversity : 1.401450 Lumma stability : 0.293754 Lumma impropriety factor : 0.412492 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 : 142.37000 cents Most common intervals : 176.11000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 176.110 1022.920 cents 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: 0 2 1 1 N T3 SD: 163.9041 c. M: 247.2950 c. 5: 0 3 1 1 N G SD: 113.2482 c. M: 176.1100 c. 6: 1 3 1 1 N M DE SD: 29.0612 c. M: 47.4567 c. 7: 1 4 1 1 N M DE SD: 5.9033 c. M:-9.6400 c. 20: 3 11 3 3 N M DE SD: 4.5861 c. M: 7.4890 c. 27: 4 15 4 4 N M DE SD: 1.8666 c. M: 3.0481 c. 34: 5 19 5 5 N M DE SD: 0.2669 c. M: 0.4359 c. 109: 16 61 16 16 N M DE SD: 0.1293 c. M:-0.2112 c. 143: 21 80 21 21 N M DE SD: 0.0351 c. M:-0.0573 c. 177: 26 99 26 26 N M DE SD: 0.0229 c. M: 0.0374 c. 320: 47 179 47 47 N M DE SD: 0.0030 c. M:-0.0049 c. 817: 120 457 120 120 N M DE SD: 0.0026 c. M: 0.0042 c. 1137: 167 636 167 167 N M DE SD: 0.0010 c. M: 0.0017 c. 1457: 214 815 214 214 N M DE SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.9700 cents 2 x 3 x 4 S SD: 72.4291 cents 3:4:5 x 6 S SD: 108.0396 cents 4:5 x 7:8 SD: 72.3515 cents 5:6:8:9:10 S SD: 35.8778 cents 6:7:10:11:12 SD: 25.4308 cents 7:8:11:13:14 SD: 24.4303 cents 8:9:13:14:16 SD: 15.2877 cents 9:10:15:16:18 S SD: 11.6466 cents 10:11:16:18:20 SD: 8.8381 cents 11:12:18:20:22 S SD: 7.1984 cents 19:21:31:34:38 SD: 3.9456 cents 27:30:44:49:54 SD: 2.7502 cents 36:40:59:65:72 SD: 2.6455 cents 38:42:62:69:76 SD: 2.5678 cents 46:51:75:83:92 SD: 0.7454 cents 103:114:168:186:206 SD: 0.2782 cents 149:165:243:269:298 SD: 0.2733 cents 252:279:411:455:504 SD: 0.2441 cents 458:507:747:827:915 SD: 0.2366 cents 504:558:822:910:1007 SD: 0.1891 cents 550:609:897:993:1099 SD: 0.1704 cents 561:621:915:1013:1121 SD: 0.1592 cents