Scala analysis: morphable-02-everyone
Sevish: Everyone, Morphable
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 15/14 119.442808 major diatonic semitone 2: 17/14 336.129503 supraminor third 3: 19/14 528.687110 4: 3/2 701.955001 perfect fifth
SHOW/INTERVAL
0: 21/19 173.2679 1: 15/14 119.4428 major diatonic semitone 2: 17/15 216.6867 septendecimal whole tone 3: 19/17 192.5576 quasi-meantone 4: 21/19 173.2679
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 15/14 119.443 cents major diatonic semitone 1: 1 21/19 173.268 cents 1: 1 19/17 192.558 cents quasi-meantone 1: 1 17/15 216.687 cents septendecimal whole tone 2: 1 45/38 292.711 cents 2: 1 17/14 336.130 cents supraminor third 2: 1 21/17 365.825 cents submajor third 2: 1 19/15 409.244 cents undevicesimal ditone 3: 1 45/34 485.268 cents 3: 1 51/38 509.397 cents 3: 1 19/14 528.687 cents 3: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 119.4 336.1 528.7 702.0 119.4: 216.7 409.2 582.5 702.0 336.1: 192.6 365.8 485.3 702.0 528.7: 173.3 292.7 509.4 702.0 702.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.4428 .. 216.6867 cents 238/225, 97.2439 cents 15/14, 119.4428 cents 2: 292.7107 .. 409.2443 cents 722/675, 116.5336 cents 675/646, 76.0240 cents 3: 485.2683 .. 582.5122 cents 238/225, 97.2439 cents 675/646, 76.0240 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 15/14, 119.4428 cents, class 1 Average step (divided formal octave): 175.4888 cents Largest one step interval : 17/15, 216.6867 cents Average / Smallest step : 1.469228 Largest / Average step : 1.234761 Largest / Smallest step : 1.814146 Median interval of one step : 182.91275 cents, amount: 0 Least squares average step : 172.85277 cents, oct.: 691.41109 cents Scale is strictly proper Step pattern alph. order: ABCD Step pattern size order : ADCB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 76.02400 cents Scale diversity : 1.431493 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.556921 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 361/357, 19.2897 cents Number of recognisable fifths : 0 Number of recognisable fourths : 2, average 497.3329 cents Number of appreciable fourths : 1, average 509.3974 cents Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties -- Prime limit : 19 Odd number limit : 51 (O: 51 U: 19) Highest odd numerator or denominator: 19 Scale harmonicity : 0.011824 Average absolute harmonicity : 0.092011 Specific harmonicity : 0.068642 Fundamental : 1/14, -3.8074 octaves, 18.6875 Hz. Guide tone : 4845, 12.2423 octaves, 1267575.864 Hz. Exponens Consonantiae : 6.783000E+04, 16.04964 octaves Euler's gradus suavitatis : 48 Sum of Mann's harmonic distance : 49.0, average 12.25000 Mersenne's string divisions : 148335 Sum of van Prooijen's expressibility: 4.16242, average 1.04060 Sum of Tenney's harmonic distance : 7.90183, average 1.97546 Vogel's harmonic complexity : 13.50000 Wille's k value : 10 Wilson's harmonic complexity : 51 Rectangular lattice diameter : 5 Triangular lattice diameter : 2 Lattice compactness : 16.63495, average 1.66349 Lattice compactness (without 2's) : 15.31711, average 1.53171 Number of different primes : 6 Prime exponents' range, average, count, tones@limit: 2: -1 ..-1 -1.00000 4 3: 0 .. 1 0.50000 2 1 5: 0 .. 1 0.25000 1 7: -1 .. 0 -0.75000 3 1 17: 0 .. 1 0.25000 1 1 19: 0 .. 1 0.25000 1 1 Average exponent except 2's : 2 / 4 = 0.50000 Average absolute exponent except 2's: 8 / 4 = 2.00000 Scale is JI-epimorphic with val: <7 11 15 18 27 28| Scale is weakly epimorphic with val: <7 11 15 20 28 29| Scale is weakly epimorphic with val: <7 11 16 18 28 30| Scale is JI-epimorphic with val: <7 11 16 19 28 29| = patent Scale is weakly epimorphic with val: <7 11 17 18 27 30| Scale is weakly epimorphic with val: <7 11 17 19 27 29| Scale is JI-epimorphic with val: <7 11 17 20 29 30| Scale is weakly epimorphic with val: <7 12 15 18 28 29| Scale is weakly epimorphic with val: <7 12 16 18 27 29| Scale is weakly epimorphic with val: <7 12 16 19 29 30| Scale is weakly epimorphic with val: <7 12 17 18 27 28| Scale is weakly epimorphic with val: <7 12 17 19 28 30|
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 29.0110 c. M:-56.0459 c. 5: 1 1 2 1 P M ME SD: 33.8492 c. M: 55.3475 c. 6: 1 2 2 1 P D3 I SD: 29.1264 c. M:-56.2754 c. 7: 1 2 2 2 SP M ME SD: 24.2772 c. M: 35.2916 c. 8: 1 3 2 2 P T3 SD: 17.5370 c. M: 31.6984 c. 10: 2 3 3 2 SP D3 I SD: 20.8577 c. M:-32.8769 c. 11: 2 3 3 3 SP M ME SD: 13.1179 c. M: 18.1744 c. 12: 2 4 3 3 SP T3 SD: 7.6059 c. M:-14.8480 c. 13: 2 4 4 3 SP SD: 10.0738 c. M: 12.1503 c. 16: 3 5 4 4 SP T3 SD: 9.6643 c. M:-14.8480 c. 17: 3 5 5 4 SP SD: 5.4520 c. M:-8.1020 c. 23: 4 7 6 6 SP SD: 5.1029 c. M: 9.8508 c. 25: 4 8 7 6 SP SD: 4.3162 c. M: 7.1300 c. 29: 5 9 8 7 SP SD: 2.4859 c. M:-3.8305 c. 40: 7 12 11 10 SP SD: 2.4384 c. M:-3.3993 c. 48: 8 15 13 12 SP SD: 1.6573 c. M: 2.4503 c. 52: 9 16 14 13 SP SD: 1.6547 c. M: 2.2209 c. 65: 11 20 18 16 SP SD: 0.7870 c. M: 1.3510 c. 77: 13 24 21 19 SP SD: 0.7495 c. M:-1.1735 c. 94: 16 29 26 23 SP SD: 0.7580 c. M:-1.5129 c. 113: 19 35 31 28 SP SD: 0.8534 c. M: 1.4150 c. 117: 20 36 32 29 SP SD: 0.4595 c. M: 0.7210 c. 142: 24 44 39 35 SP SD: 0.4205 c. M: 0.8025 c. 146: 25 45 40 36 SP SD: 0.4426 c. M:-0.7550 c. 182: 31 56 50 45 SP SD: 0.3302 c. M: 0.5796 c. 194: 33 60 53 48 SP SD: 0.2790 c. M: 0.4117 c. 211: 36 65 58 52 SP SD: 0.2202 c. M:-0.3220 c. 259: 44 80 71 64 SP SD: 0.1375 c. M: 0.1918 c. 405: 69 125 111 100 SP SD: 0.0983 c. M:-0.1495 c. 470: 80 145 129 116 SP SD: 0.0487 c. M: 0.0872 c. 729: 124 225 200 180 SP SD: 0.0518 c. M: 0.0770 c. 758: 129 234 208 187 SP SD: 0.0506 c. M:-0.0943 c. 875: 149 270 240 216 SP SD: 0.0458 c. M:-0.0901 c. 1017: 173 314 279 251 SP SD: 0.0210 c. M: 0.0345 c. 1422: 242 439 390 351 SP SD: 0.0214 c. M:-0.0388 c. 1487: 253 459 408 367 SP SD: 0.0163 c. M: 0.0219 c. 1892: 322 584 519 467 SP SD: 0.0124 c. M:-0.0231 c. 2151: 366 664 590 531 SP SD: 0.0091 c. M: 0.0181 c.
FIT/HARMONIC
1 x x x 2 S SD: 498.0450 cents 2 x x x 3 S SD: 0.0000 cents 3 x x 4:5 S SD: 92.4798 cents 4 x 5 x 6 S SD: 25.0921 cents 5 x 6:7:8 S SD: 41.9004 cents 6 x 7:8:9 S SD: 25.2448 cents 7 x x x 11 SD: 80.5370 cents 8:9:10:11:12 H SD: 25.2058 cents 9:10:11:12:14 S SD: 23.7096 cents 10:11:12:14:15 S SD: 18.3588 cents 12:13:15:16:18 SD: 15.4583 cents 13:14:16:18:20 S SD: 15.3057 cents 14:15:17:19:21 SD: 0.0000 cents