Scala analysis: xen18-erlich-dicot-04
3L 1s MOS for Dicot, L=353.22, s=148.00
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 353.220 cents 353.220000 2: 501.220 cents 501.220000 3: 854.440 cents 854.440000 4: 1207.660 cents 1207.660000
SHOW/INTERVAL
0: 353.2200 cents 353.2200 1: 353.2200 cents 353.2200 2: 148.0000 cents 148.0000 3: 353.2200 cents 353.2200 4: 353.2200 cents 353.2200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 148.00000 cents 1: 3 353.22000 cents 2: 2 501.22000 cents 2: 2 706.44000 cents 3: 3 854.44000 cents 3: 1 1059.66000 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 : 353.2 501.2 854.4 1207.7 353.2 : 148.0 501.2 854.4 1207.7 501.2 : 353.2 706.4 1059.7 1207.7 854.4 : 353.2 706.4 854.4 1207.7 1207.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 148.0000 .. 353.2200 cents 205.22000 cents 148.00000 cents 2: 501.2200 .. 706.4400 cents 205.22000 cents 148.00000 cents 3: 854.4400 .. 1059.6600 cents 205.22000 cents 148.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 148.00000 cents, class 1 Average step (divided formal octave): 301.9150 cents Largest one step interval : 353.22000 cents Average / Smallest step : 2.039966 Largest / Average step : 1.169932 Largest / Smallest step : 2.386622 Median interval of one step : 353.22000 cents, amount: 3 Most common interval of one step : 353.22000 cents, amount: 3 Least squares average step : 291.65400 cents, oct.: 1166.61600 cents Scale is strictly proper Scale has Myhill's property chromas: 205.22000 cents and 57.22000 cents, ratio: 3.586508 generators: 1 of 353.22000 cents and 3 of 854.44000 cents ET pair of linear temperament : 17&24 Scale is distributional even Scale is a mode of a 612-tone equal temperament with octave 1207.660 cents degrees: 179 254 433 612 generators: 179 and 433 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 148.00000 cents Scale diversity : 1.376652 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.490204 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 : 148.00000 cents Most common intervals : 353.22000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 353.220 854.440 cents Most common triad is 0.0 353.220 854.440 cents, amount: 2 Number of recognisable fifths : 2, average 706.4400 cents Number of recognisable fourths : 2, average 501.2200 cents Best minor thirds form a closed circle 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 1 1 1 SP B ME I SD: 62.8355 c. M:-102.6100 c. 6: 2 0 2 2 P M DE SD: 60.4207 c. M: 98.6667 c. 7: 2 1 2 2 SP M ME SD: 10.0114 c. M:-16.3486 c. 17: 5 2 5 5 SP M DE SD: 2.4178 c. M: 3.9482 c. 24: 7 3 7 7 SP M DE SD: 1.2074 c. M:-1.9717 c. 41: 12 5 12 12 SP M DE SD: 0.2957 c. M: 0.4829 c. 65: 19 8 19 19 SP M DE SD: 0.2593 c. M:-0.4234 c. 106: 31 13 31 31 SP M DE SD: 0.0446 c. M:-0.0728 c. 253: 74 31 74 74 SP M DE SD: 0.0106 c. M: 0.0172 c. 359: 105 44 105 105 SP M DE SD: 0.0057 c. M:-0.0094 c. 612: 179 75 179 179 SP M DE SD: 0.0010 c. M: 0.0016 c. 1583: 463 194 463 463 SP M DE SD: 0.0005 c. M:-0.0009 c. 2195: 642 269 642 642 SP M DE SD: 0.0001 c. M:-0.0002 c.
FIT/HARMONIC
1 x x x 2 S SD: 7.6600 cents 2 x x 3:4 S SD: 76.3386 cents 3 x 4:5:6 S SD: 10.3488 cents 4:5 x 7:8 SD: 39.7744 cents 5:6:7:8:10 S SD: 24.6730 cents 6:7:8:10:12 S SD: 22.9402 cents 7 x 9:11:14 SD: 32.6754 cents 8:10:11:13:16 SD: 15.5266 cents 9:11:12:15:18 SD: 7.8965 cents 17:21:23:28:34 SD: 7.0484 cents 21:26:28:34:42 SD: 6.8583 cents 22:27:29:36:44 SD: 6.0779 cents 26:32:35:43:52 SD: 5.8684 cents 27:33:36:44:54 SD: 3.3847 cents 36:44:48:59:72 SD: 2.5398 cents 53:65:71:87:106 SD: 2.4531 cents 63:77:84:103:127 SD: 2.3922 cents 66:81:88:108:133 SD: 1.6674 cents 75:92:100:123:151 SD: 1.3475 cents 80:98:107:131:161 SD: 1.0809 cents 89:109:119:146:179 SD: 1.0687 cents 102:125:136:167:205 SD: 0.9001 cents 110:135:147:180:221 SD: 0.6012 cents 119:146:159:195:239 SD: 0.2875 cents 318:390:425:521:639 SD: 0.2668 cents 331:406:442:542:665 SD: 0.2427 cents 340:417:454:557:683 SD: 0.1686 cents 420:515:561:688:844 SD: 0.1513 cents 459:563:613:752:922 SD: 0.1417 cents 539:661:720:883:1083 SD: 0.0928 cents