Scala analysis: 350_C29
Chromatic tetrachord 40/39 * 9/8 * 52/45
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40/39 43.831051 tridecimal minor diesis 2: 15/13 247.741053 tridecimal 5/4-tone 3: 4/3 498.044999 perfect fourth
SHOW/INTERVAL
0: 52/45 250.3039 1: 40/39 43.8311 tridecimal minor diesis 2: 9/8 203.9100 major whole tone 3: 52/45 250.3039
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 40/39 43.831 cents tridecimal minor diesis 1: 1 9/8 203.910 cents major whole tone 1: 1 52/45 250.304 cents 2: 1 15/13 247.741 cents tridecimal 5/4-tone 2: 1 32/27 294.135 cents Pythagorean minor third 2: 1 13/10 454.214 cents tridecimal semi-diminished fourth 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 : 43.8 247.7 498.0 43.8 : 203.9 454.2 498.0 247.7: 250.3 294.1 498.0 498.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 43.8311 .. 250.3039 cents 169/150, 206.4729 cents 40/39, 43.8311 cents 2: 247.7411 .. 454.2139 cents 169/150, 206.4729 cents 675/676,-2.5629 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 40/39, 43.8311 cents, class 1 Average step (divided formal octave): 166.0150 cents Largest one step interval : 52/45, 250.3039 cents Average / Smallest step : 3.787612 Largest / Average step : 1.507719 Largest / Smallest step : 5.710654 Median interval of one step : 9/8, 203.9100 cents, amount: 1 Least squares average step : 145.24630 cents, oct.: 435.73889 cents Scale is not proper Scale has trivalence property Step pattern alph. order: ABC Step pattern size order : SML Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.56289 cents Scale diversity : 0.674096 Lumma stability : 0.176012 Lumma impropriety factor : 0.005146 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 : 676/675, 2.5629 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Steps are strictly increasing Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% Scale is n-1 differentially coherent in interval class 1 -- Rational properties -- Prime limit : 13 Odd number limit : 45 (O: 15 U: 45) Highest odd numerator or denominator: 39 Scale harmonicity : 0.027110 Average absolute harmonicity : 0.091846 Specific harmonicity : 0.111202 Fundamental : 1/39, -5.2854 octaves, 6.7083 Hz. Guide tone : 120, 6.9069 octaves, 31395.068 Hz. Exponens Consonantiae : 4.680000E+03, 12.19229 octaves Euler's gradus suavitatis : 24 Sum of Mann's harmonic distance : 57.0, average 19.00000 Mersenne's string divisions : 2212 Sum of van Prooijen's expressibility: 3.24428, average 1.08143 Sum of Tenney's harmonic distance : 6.56234, average 2.18745 Vogel's harmonic complexity : 11.33333 Wille's k value : 22 Wilson's harmonic complexity : 24 Rectangular lattice diameter : 4 Triangular lattice diameter : 3 Lattice compactness : 15.93210, average 2.65535 Lattice compactness (without 2's) : 10.32780, average 1.72130 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: 0 .. 3 1.66667 5 3: -1 .. 1 -0.33333 3 1 5: 0 .. 1 0.66667 2 13: -1 .. 0 -0.66667 2 2 Average exponent except 2's :-1 / 3 =-0.33333 Average absolute exponent except 2's: 7 / 3 = 2.33333 Scale is weakly epimorphic with val: <6 10 18 25| Scale is weakly epimorphic with val: <6 10 19 26| Scale is weakly epimorphic with val: <6 11 17 25| Scale is weakly epimorphic with val: <6 11 18 26| Scale is weakly epimorphic with val: <6 11 19 27| Scale is weakly epimorphic with val: <7 10 17 25| Scale is weakly epimorphic with val: <7 10 18 26| Scale is weakly epimorphic with val: <7 10 19 27| Scale is weakly epimorphic with val: <7 11 15 27| Scale is weakly epimorphic with val: <7 11 15 30| Scale is JI-epimorphic with val: <7 11 16 25| Scale is weakly epimorphic with val: <7 11 16 28| Scale is JI-epimorphic with val: <7 11 17 26| Scale is weakly epimorphic with val: <7 11 17 29| Scale is JI-epimorphic with val: <7 11 18 27| Scale is weakly epimorphic with val: <7 11 18 30| Scale is weakly epimorphic with val: <7 11 19 25| Scale is JI-epimorphic with val: <7 11 19 28| Scale is weakly epimorphic with val: <8 11 15 25| Scale is weakly epimorphic with val: <8 11 16 26| Scale is weakly epimorphic with val: <8 11 17 27| Scale is weakly epimorphic with val: <8 11 18 28| Scale is weakly epimorphic with val: <8 11 19 29|
FIT/MODE
3: 0 1 2 N G T3 SD: 53.5422 c. M: 81.7261 c. 4: 0 2 2 P M DE S SD: 25.3167 c. M: 43.8311 c. 6: 1 2 3 P T3 SD: 22.6306 c. M:-39.1764 c. 8: 1 3 4 P T3 SD: 10.6631 c. M:-18.4246 c. 10: 1 4 5 P T3 SD: 3.5272 c. M:-5.9734 c. 12: 1 5 6 P T3 SD: 1.5339 c. M: 2.3273 c. 22: 2 9 11 P T3 SD: 1.1154 c. M:-1.4458 c. 34: 3 14 17 P T3 SD: 0.7428 c. M:-1.2814 c. 56: 5 23 28 P T3 SD: 0.8263 c. M:-1.2814 c. 80: 7 33 40 P T3 SD: 0.7540 c. M:-1.2814 c. 101: 9 41 51 N T3 SD: 0.7536 c. M: 1.1841 c. 103: 9 42 52 N T3 SD: 0.6804 c. M: 1.1362 c. 111: 10 45 56 N T3 SD: 0.8170 c. M:-1.0379 c. 113: 10 46 57 N T3 SD: 0.5508 c. M: 0.9223 c. 115: 10 47 58 N T3 SD: 0.5929 c. M: 0.8840 c. 123: 11 50 62 N T3 SD: 0.5932 c. M: 0.7431 c. 125: 11 51 63 N T3 SD: 0.4103 c. M: 0.7107 c. 127: 11 52 64 N T3 SD: 0.5604 c. M: 0.6933 c. 135: 12 55 68 N T3 SD: 0.4125 c. M: 0.5632 c. 137: 12 56 69 N T3 SD: 0.3318 c. M: 0.5362 c. 147: 13 60 74 N T3 SD: 0.2683 c. M: 0.4126 c. 149: 13 61 75 N T3 SD: 0.3133 c. M: 0.3898 c. 159: 14 65 80 N T3 SD: 0.1649 c. M: 0.2847 c. 171: 15 70 86 N T3 SD: 0.1304 c. M: 0.1748 c. 181: 16 74 91 N T3 SD: 0.1251 c. M:-0.1950 c. 193: 17 79 97 N T3 SD: 0.0226 c. M:-0.0382 c. 398: 35 163 200 N T3 SD: 0.0258 c. M: 0.0331 c. 591: 52 242 297 N T3 SD: 0.0115 c. M:-0.0174 c. 784: 69 321 394 N T3 SD: 0.0064 c. M:-0.0109 c. 977: 86 400 491 N T3 SD: 0.0067 c. M:-0.0091 c. 1761: 155 721 885 N T3 SD: 0.0061 c. M:-0.0088 c. 1932: 170 791 971 N T3 SD: 0.0060 c. M: 0.0075 c. 2125: 187 870 1068 N T3 SD: 0.0047 c. M: 0.0076 c. 2318: 204 949 1165 N T3 SD: 0.0045 c. M: 0.0077 c.
FIT/HARMONIC
1 x x 2 S SD: 701.9550 cents 2 x x 3 S SD: 203.9100 cents 3 x x 4 S SD: 0.0000 cents 4 x x 5 S SD: 111.7313 cents 5 x 6:7 S SD: 54.1875 cents 6 x 7:8 S SD: 9.5649 cents 7 x 8:9 S SD: 32.5520 cents 8 x 9:11 SD: 34.4934 cents 9 x 10:12 S SD: 32.6687 cents 10 x 12:13 S SD: 40.4092 cents 11 x 13:15 SD: 28.4311 cents 14:15:16:19 SD: 27.7500 cents 15:16:17:20 SD: 24.8882 cents 17:18:20:23 SD: 23.1120 cents 18:19:21:24 SD: 17.7739 cents 19:20:22:25 SD: 16.9471 cents 20:21:23:27 SD: 15.4461 cents 21:22:24:28 S SD: 13.4238 cents 24:25:28:32 SD: 10.9869 cents 25:26:29:33 SD: 10.3648 cents 26:27:30:35 S SD: 9.0492 cents 27:28:31:36 SD: 6.9873 cents 32:33:37:43 SD: 5.6139 cents 33:34:38:44 SD: 2.8655 cents 39:40:45:52 SD: 0.0000 cents