Scala analysis: morphable-05-rain-pitted-99
Sevish: Rain Pitted 99, Morphable
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 11/10 165.004228 Ptolemy's second, 4/5-tone 2: 6/5 315.641287 minor third 3: 27/20 519.551289 acute fourth 4: 3/2 701.955001 perfect fifth
SHOW/INTERVAL
0: 10/9 182.4037 minor whole tone 1: 11/10 165.0042 Ptolemy's second, 4/5-tone 2: 12/11 150.6371 undecimal neutral second, 3/4-tone 3: 9/8 203.9100 major whole tone 4: 10/9 182.4037 minor whole tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 1: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 1: 1 10/9 182.404 cents minor whole tone 1: 1 9/8 203.910 cents major whole tone 2: 1 6/5 315.641 cents minor third 2: 1 11/9 347.408 cents undecimal neutral third 2: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 2: 1 5/4 386.314 cents major third 3: 1 4/3 498.045 cents perfect fourth 3: 1 27/20 519.551 cents acute fourth 3: 1 15/11 536.951 cents undecimal augmented fourth 3: 1 11/8 551.318 cents undecimal semi-augmented 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 : 165.0 315.6 519.6 702.0 165.0: 150.6 354.5 537.0 702.0 315.6: 203.9 386.3 551.3 702.0 519.6: 182.4 347.4 498.0 702.0 702.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 150.6371 .. 203.9100 cents 33/32, 53.2729 cents 12/11, 150.6371 cents 2: 315.6413 .. 386.3137 cents 25/24, 70.6724 cents 16/15, 111.7313 cents 3: 498.0450 .. 551.3179 cents 33/32, 53.2729 cents 16/15, 111.7313 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 12/11, 150.6371 cents, class 1 Average step (divided formal octave): 175.4888 cents Largest one step interval : 9/8, 203.9100 cents Average / Smallest step : 1.164977 Largest / Average step : 1.161955 Largest / Smallest step : 1.353651 Median interval of one step : 173.70397 cents, amount: 0 Least squares average step : 172.09202 cents, oct.: 688.36809 cents Scale is strictly proper Step pattern alph. order: ABCD Step pattern size order : BADC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 111.73129 cents Scale diversity : 1.392725 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.747536 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 : 243/242, 7.1391 cents Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 498.0450 cents All steps are superparticular (epimoric) Scale is harmonic, base degree is : 2 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Scale is differentially coherent Limited inverse transpositions with margin 38.9058 cents: 2 -- Rational properties -- Prime limit : 11 Odd number limit : 27 (O: 27 U: 11) Highest odd numerator or denominator: 27 Scale harmonicity : 0.028104 Average absolute harmonicity : 0.118032 Specific harmonicity : 0.153883 Fundamental : 1/20, -4.3219 octaves, 13.0813 Hz. Guide tone : 594, 9.2143 octaves, 155405.586 Hz. Exponens Consonantiae : 1.188000E+04, 13.53625 octaves Euler's gradus suavitatis : 24 Sum of Mann's harmonic distance : 42.0, average 10.50000 Mersenne's string divisions : 54285 Sum of van Prooijen's expressibility: 3.64885, average 0.91221 Sum of Tenney's harmonic distance : 7.02906, average 1.75726 Vogel's harmonic complexity : 9.00000 Wille's k value : 13 Wilson's harmonic complexity : 25 Rectangular lattice diameter : 5 Triangular lattice diameter : 3 Lattice compactness : 24.40925, average 2.44092 Lattice compactness (without 2's) : 18.53531, average 1.85353 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -2 .. 1 -0.75000 5 3: 0 .. 3 1.25000 5 1 5: -1 .. 0 -0.75000 3 2 11: 0 .. 1 0.25000 1 1 Average exponent except 2's : 3 / 4 = 0.75000 Average absolute exponent except 2's: 9 / 4 = 2.25000 Scale is weakly epimorphic with val: <6 10 15 23| Scale is weakly epimorphic with val: <6 10 17 25| Scale is weakly epimorphic with val: <6 12 15 25| Scale is weakly epimorphic with val: <7 10 15 26| Scale is JI-epimorphic with val: <7 11 16 24| = patent Scale is weakly epimorphic with val: <7 11 17 23| Scale is weakly epimorphic with val: <7 12 15 24| Scale is weakly epimorphic with val: <8 11 15 24|
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 18.7509 c. M:-35.3362 c. 9: 2 2 3 2 SP M ME SD: 14.0743 c. M:-26.4137 c. 11: 3 2 3 3 SP M ME SD: 14.0750 c. M:-26.4380 c. 12: 3 2 4 3 SP T3 SD: 13.1732 c. M: 23.1600 c. 13: 3 3 4 3 SP M ME SD: 11.1282 c. M:-20.4141 c. 14: 3 3 4 4 SP D3 S SD: 13.7974 c. M: 18.1549 c. 15: 4 3 4 4 SP M ME SD: 12.8211 c. M:-22.1838 c. 16: 4 3 5 4 SP T3 SD: 7.5928 c. M:-10.4845 c. 18: 4 4 5 5 SP D3 S SD: 7.9532 c. M: 12.5838 c. 20: 5 4 6 5 SP T3 SD: 6.2809 c. M:-10.4845 c. 22: 5 5 6 6 SP D3 S SD: 5.5535 c. M: 9.0386 c. 26: 6 6 7 7 SP D3 S SD: 5.5218 c. M:-8.3379 c. 27: 6 6 8 7 SP SD: 4.8691 c. M: 9.0142 c. 31: 7 7 9 8 SP SD: 3.3793 c. M: 6.4983 c. 34: 8 7 10 9 SP SD: 3.4317 c. M: 5.9553 c. 35: 8 8 10 9 SP SD: 3.6046 c. M:-5.2524 c. 38: 9 8 11 10 SP SD: 1.5439 c. M: 2.3213 c. 42: 10 9 12 11 SP SD: 1.6011 c. M:-2.1279 c. 69: 16 15 20 18 SP SD: 1.1796 c. M: 2.2321 c. 73: 17 16 21 19 SP SD: 1.1479 c. M:-1.6808 c. 85: 20 18 25 22 SP SD: 0.9850 c. M: 1.8261 c. 89: 21 19 26 23 SP SD: 0.5947 c. M:-0.9996 c. 111: 26 24 32 29 SP SD: 0.6377 c. M: 0.9899 c. 127: 30 27 37 33 SP SD: 0.5020 c. M:-0.8119 c. 158: 37 34 46 41 SP SD: 0.3509 c. M: 0.6224 c. 196: 46 42 57 51 SP SD: 0.2988 c. M: 0.4778 c. 200: 47 43 58 52 SP SD: 0.1321 c. M:-0.2385 c. 289: 68 62 84 75 SP SD: 0.1543 c. M:-0.2355 c. 327: 77 70 95 85 SP SD: 0.1530 c. M:-0.2879 c. 396: 93 85 115 103 SP SD: 0.1295 c. M: 0.1755 c. 485: 114 104 141 126 SP SD: 0.0650 c. M: 0.1234 c. 685: 161 147 199 178 SP SD: 0.0131 c. M: 0.0192 c. 2255: 530 484 655 586 SP SD: 0.0124 c. M: 0.0215 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: 91.8336 cents 4 x 5 x 6 S SD: 35.3362 cents 5 x 6:7:8 S SD: 42.7499 cents 6 x 7:8:9 S SD: 17.7672 cents 7:8 x 9:11 SD: 44.7206 cents 8:9:10:11:12 H SD: 21.6757 cents 9:10:11:12:14 S SD: 18.9382 cents 10:11:12:14:15 S SD: 15.7402 cents 11:12:13:15:17 SD: 15.5701 cents 12:13:14:16:18 S SD: 14.8738 cents 14:15:17:19:21 SD: 12.6961 cents 18:20:22:24:27 S SD: 10.5309 cents 19:21:23:26:29 SD: 10.4702 cents 20:22:24:27:30 S SD: 0.0000 cents