Scala analysis: xen18-erlich-tetracot-02
1L 1s MOS for Tetracot, L=1022.92, s=176.11
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 1022.920 cents 1022.920000 2: 1199.030 cents 1199.030000
SHOW/INTERVAL
0: 176.1100 cents 176.1100 1: 1022.9200 cents 1022.9200 2: 176.1100 cents 176.1100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 176.11000 cents 1: 1 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 0.0 : 1022.9 1199.0 1022.9: 176.1 1199.0 1199.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 176.1100 .. 1022.9200 cents 846.81000 cents 176.11000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 176.11000 cents, class 1 Average step (divided formal octave): 599.5150 cents Largest one step interval : 1022.92000 cents Average / Smallest step : 3.404208 Largest / Average step : 1.706246 Largest / Smallest step : 5.808415 Median interval of one step : 599.51500 cents, amount: 0 Least squares average step : 684.19600 cents, oct.: 1368.39200 cents Scale is strictly proper Scale has Myhill's property chromas: 846.81000 cents and 670.70000 cents, ratio: 1.262576 generator: 176.11000 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: 273 320 generator: 47 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : LS Scale is a Constant Structure, by a margin of 176.11000 cents Scale diversity : 0.884455 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.293754 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 : 846.81000 cents Most common intervals : 176.11000 cents & inv., amount: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Steps are strictly decreasing 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: 2 0 SP M DE SD: 124.5286 c. M:-176.1100 c. 4: 3 1 SP M DE SD: 87.4320 c. M: 123.6475 c. 5: 4 1 SP M DE SD: 45.0399 c. M: 63.6960 c. 6: 5 1 SP M DE SD: 16.7785 c. M: 23.7283 c. Warao ditonic: South America 7: 6 1 SP M DE SD: 3.4083 c. M:-4.8200 c. 20: 17 3 SP M DE SD: 2.6478 c. M: 3.7445 c. 27: 23 4 SP M DE SD: 1.0777 c. M: 1.5241 c. 34: 29 5 SP M DE SD: 0.1541 c. M: 0.2179 c. 109: 93 16 SP M DE SD: 0.0747 c. M:-0.1056 c. 143: 122 21 SP M DE SD: 0.0203 c. M:-0.0287 c. 177: 151 26 SP M DE SD: 0.0132 c. M: 0.0187 c. 320: 273 47 SP M DE SD: 0.0017 c. M:-0.0025 c. 817: 697 120 SP M DE SD: 0.0015 c. M: 0.0021 c. 1137: 970 167 SP M DE SD: 0.0006 c. M: 0.0008 c. 1457: 1243 214 SP M DE SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x 2 S SD: 0.9700 cents 2 x 4 S SD: 0.9700 cents 31:56:62 SD: 0.6516 cents 36:65:72 SD: 0.4850 cents 453:818:905 SD: 0.4802 cents 458:827:915 SD: 0.4649 cents 463:836:925 SD: 0.4516 cents 468:845:935 SD: 0.4403 cents 473:854:945 SD: 0.4311 cents 478:863:955 SD: 0.4239 cents 483:872:965 SD: 0.4187 cents 488:881:975 SD: 0.4155 cents 489:883:977 SD: 0.4100 cents 494:892:987 SD: 0.3961 cents 499:901:997 SD: 0.3842 cents 504:910:1007 SD: 0.3742 cents 509:919:1017 SD: 0.3663 cents 514:928:1027 SD: 0.3604 cents 519:937:1037 SD: 0.3565 cents 524:946:1047 SD: 0.3546 cents 525:948:1049 SD: 0.3495 cents 530:957:1059 SD: 0.3367 cents 535:966:1069 SD: 0.3258 cents 540:975:1079 SD: 0.3169 cents 545:984:1089 SD: 0.3101 cents 550:993:1099 SD: 0.3053 cents 555:1002:1109 SD: 0.3025 cents 560:1011:1119 SD: 0.3018 cents 561:1013:1121 SD: 0.2970 cents 566:1022:1131 SD: 0.2849 cents 571:1031:1141 SD: 0.2749 cents 576:1040:1151 SD: 0.2668 cents 581:1049:1161 SD: 0.2608 cents 586:1058:1171 SD: 0.2570 cents 591:1067:1181 SD: 0.2553 cents 597:1078:1193 SD: 0.2510 cents