Scala analysis: xen18-erlich-garibaldi-03
2L 1s MOS for Garibaldi, L=498.12, s=204.52
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 498.120 cents 498.120000 2: 702.640 cents 702.640000 3: 1200.760 cents 1200.760000
SHOW/INTERVAL
0: 498.1200 cents 498.1200 1: 498.1200 cents 498.1200 2: 204.5200 cents 204.5200 3: 498.1200 cents 498.1200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 204.52000 cents 1: 2 498.12000 cents 2: 2 702.64000 cents 2: 1 996.24000 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 : 498.1 702.6 1200.8 498.1 : 204.5 702.6 1200.8 702.6 : 498.1 996.2 1200.8 1200.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 204.5200 .. 498.1200 cents 293.60000 cents 204.52000 cents 2: 702.6400 .. 996.2400 cents 293.60000 cents 204.52000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 204.52000 cents, class 1 Average step (divided formal octave): 400.2533 cents Largest one step interval : 498.12000 cents Average / Smallest step : 1.957038 Largest / Average step : 1.244512 Largest / Smallest step : 2.435556 Median interval of one step : 498.12000 cents, amount: 2 Most common interval of one step : 498.12000 cents, amount: 2 Least squares average step : 393.26286 cents, oct.: 1179.78857 cents Scale is strictly proper Scale has Myhill's property chromas: 293.60000 cents and 89.08000 cents, ratio: 3.295914 generators: 1 of 498.12000 cents and 2 of 702.64000 cents ET pair of linear temperament : 12&41 Scale is distributional even Scale is a mode of a 364-tone equal temperament with octave 1200.760 cents degrees: 151 213 364 generators: 151 and 213 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : LSL Scale is a Constant Structure, by a margin of 204.52000 cents Scale diversity : 1.434450 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.510976 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 : 204.52000 cents Most common intervals : 498.12000 cents & inv., amount: 2 Number of recognisable fifths : 2, average 702.6400 cents Number of recognisable fourths : 2, average 498.1200 cents 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: 79.9078 c. M: 97.8667 c. 5: 2 1 2 SP M ME I SD: 14.5467 c. M: 17.8160 c. 7: 3 1 3 SP M DE I SD: 13.4652 c. M: 16.4914 c. 12: 5 2 5 SP M DE I SD: 1.7936 c. M: 2.1967 c. Raga Sarvasri, Warao tritonic: South America 29: 12 5 12 SP M DE I SD: 1.0237 c. M: 1.2538 c. 41: 17 7 17 SP M DE I SD: 0.1991 c. M: 0.2439 c. 94: 39 16 39 SP M DE I SD: 0.0552 c. M: 0.0677 c. 135: 56 23 56 SP M DE I SD: 0.0220 c. M: 0.0270 c. 229: 95 39 95 SP M DE I SD: 0.0097 c. M: 0.0119 c. 364: 151 62 151 SP M DE I SD: 0.0021 c. M: 0.0025 c. 957: 397 163 397 SP M DE I SD: 0.0008 c. M: 0.0009 c. 1321: 548 225 548 SP M DE I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 0.7600 cents 2 x 3:4 S SD: 0.5116 cents 6:8:9:12 S SD: 0.3420 cents 423:564:635:846 SD: 0.3406 cents 429:572:644:858 SD: 0.3364 cents 435:580:653:870 SD: 0.3324 cents 441:588:662:882 SD: 0.3285 cents 447:596:671:894 SD: 0.3249 cents 453:604:680:906 SD: 0.3214 cents 459:612:689:918 SD: 0.3180 cents 465:620:698:930 SD: 0.3148 cents 471:628:707:942 SD: 0.3117 cents 477:636:716:954 SD: 0.3088 cents 483:644:725:966 SD: 0.3060 cents 489:652:734:978 SD: 0.3033 cents 495:660:743:990 SD: 0.3007 cents 501:668:752:1002 SD: 0.2983 cents 507:676:761:1014 SD: 0.2960 cents 513:684:770:1026 SD: 0.2937 cents 519:692:779:1038 SD: 0.2916 cents 525:700:788:1050 SD: 0.2895 cents 531:708:797:1062 SD: 0.2876 cents 537:716:806:1074 SD: 0.2857 cents 543:724:815:1086 SD: 0.2840 cents 549:732:824:1098 SD: 0.2823 cents 555:740:833:1110 SD: 0.2806 cents 561:748:842:1122 SD: 0.2791 cents 567:756:851:1134 SD: 0.2776 cents 573:764:860:1147 SD: 0.2732 cents 579:772:869:1159 SD: 0.2671 cents 585:780:878:1171 SD: 0.2611 cents 591:788:887:1183 SD: 0.2552 cents 597:796:896:1195 SD: 0.2494 cents