Scala analysis: 607_T14
Aristoxenian style tetrachord 4.5 + 3.5 + 22, Aristoxenos
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 75.000 cents 75.000000 2: 133.333 cents 133.333330 3: 500.000 cents 500.000000
SHOW/INTERVAL
0: 366.6667 cents 366.6667 1: 75.0000 cents 75.0000 2: 58.3333 cents 58.3333 3: 366.6667 cents 366.6667
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 58.33333 cents 1: 1 75.00000 cents 1: 1 366.66667 cents 2: 1 133.33333 cents 2: 1 425.00000 cents 2: 1 441.66667 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 75.0 133.3 500.0 75.0 : 58.3 425.0 500.0 133.3: 366.7 441.7 500.0 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.3333 .. 366.6667 cents 308.33334 cents 58.33333 cents 2: 133.3333 .. 441.6667 cents 308.33334 cents -233.33334 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 58.33333 cents, class 1 Average step (divided formal octave): 166.6667 cents Largest one step interval : 366.66667 cents Average / Smallest step : 2.857143 Largest / Average step : 2.200000 Largest / Smallest step : 6.285715 Median interval of one step : 75.00000 cents, amount: 1 Least squares average step : 131.54762 cents, oct.: 394.64286 cents Scale is not proper Scale has trivalence property Scale is a mode of a 60-tone equal temperament with octave 500.000 cents degrees: 9 16 60 Least number of segments generator : 31 of 258.333 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 43 of 358.333 cents and inv. generated superset size: 12 = 9 more = 400.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : MSL Interval vector is [ 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ] Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 58.33333 cents Scale diversity : 0.670725 Lumma stability : 0.233333 Lumma impropriety factor : 0.466667 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 16.66667 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 308.3333 cents: 2 -- Rational properties --
FIT/MODE
3: 0 1 2 N G T3 SD: 47.3853 c. M: 75.0000 c. 4: 1 0 3 N G T3 SD: 29.2657 c. M:-50.0000 c. 5: 1 0 4 N G T3 SD: 24.0563 c. M: 33.3333 c. 6: 1 1 4 N M DE S SD: 19.8373 c. M:-33.3333 c. 7: 1 1 5 N M DE S SD: 5.8725 c. M:-9.5238 c. 12: 2 1 9 N T3 SD: 6.8041 c. M:-8.3333 c. 15: 2 2 11 N M DE S SD: 4.8113 c. M: 8.3333 c. 19: 3 2 14 N T3 SD: 2.4940 c. M:-3.9474 c. 26: 4 3 19 N T3 SD: 1.3344 c. M:-1.9231 c. 34: 5 4 25 N T3 SD: 1.0204 c. M: 1.4706 c. 53: 8 6 39 N T3 SD: 0.7756 c. M: 1.2579 c. 60: 9 7 44 N T3 SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 700.0000 cents 2 x x 3 S SD: 201.9550 cents 3 x x 4 S SD: 1.9550 cents 4 x x 5 S SD: 113.6863 cents 5 x 6:7 S SD: 100.0556 cents 6 x 7:8 S SD: 66.7759 cents 7 x 8:9 S SD: 58.7088 cents 8 x 9:11 SD: 43.6308 cents 9 x 10:12 S SD: 24.5547 cents 10 x 11:13 SD: 27.8362 cents 11 x 12:15 S SD: 20.4008 cents 12 x 13:16 SD: 2.7961 cents 13 x 14:17 SD: 17.9634 cents 14 x 15:19 SD: 15.9366 cents 15 x 16:20 S SD: 10.8452 cents 16 x 17:21 SD: 20.3658 cents 17:18 x 23 SD: 16.7152 cents 18:19 x 24 SD: 9.3527 cents 21:22:23:28 SD: 8.2878 cents 23:24:25:31 SD: 6.7009 cents 24:25:26:32 SD: 2.3570 cents 63:66:68:84 SD: 1.9922 cents 86:90:93:115 SD: 1.7556 cents 87:91:94:116 SD: 1.1640 cents 111:116:120:148 SD: 0.9506 cents 113:118:122:151 SD: 0.6618 cents 137:143:148:183 SD: 0.4956 cents 200:209:216:267 SD: 0.4084 cents 224:234:242:299 SD: 0.2586 cents 337:352:364:450 SD: 0.2442 cents 361:377:390:482 SD: 0.2087 cents 451:471:487:602 SD: 0.1334 cents 475:496:513:634 SD: 0.0650 cents