Scala analysis: porchrome4
Fourth 25/24&250/243 scale = inverse porchrome5
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 10/9 182.403712 minor whole tone 2: 5/4 386.313714 major third 3: 25/18 568.717426 classic augmented fourth 4: 3/2 701.955001 perfect fifth 5: 5/3 884.358713 major sixth, BP sixth 6: 9/5 1017.596288 just minor seventh, BP seventh 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 10/9 182.4037 minor whole tone 1: 10/9 182.4037 minor whole tone 2: 9/8 203.9100 major whole tone 3: 10/9 182.4037 minor whole tone 4: 27/25 133.2376 large limma, BP small semitone, Zarlino semitone 5: 10/9 182.4037 minor whole tone 6: 27/25 133.2376 large limma, BP small semitone, Zarlino semitone 7: 10/9 182.4037 minor whole tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 1: 4 10/9 182.404 cents minor whole tone 1: 1 9/8 203.910 cents major whole tone 2: 4 6/5 315.641 cents minor third 2: 1 100/81 364.807 cents grave major third 2: 2 5/4 386.314 cents major third 3: 1 162/125 448.879 cents 3: 3 4/3 498.045 cents perfect fourth 3: 1 27/20 519.551 cents acute fourth 3: 2 25/18 568.717 cents classic augmented fourth 4: 2 36/25 631.283 cents classic diminished fifth 4: 1 40/27 680.449 cents grave fifth 4: 3 3/2 701.955 cents perfect fifth 4: 1 125/81 751.121 cents 5: 2 8/5 813.686 cents minor sixth 5: 1 81/50 835.193 cents acute minor sixth 5: 4 5/3 884.359 cents major sixth, BP sixth 6: 1 16/9 996.090 cents Pythagorean minor seventh 6: 4 9/5 1017.596 cents just minor seventh, BP seventh 6: 2 50/27 1066.762 cents grave major seventh Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 182.4 386.3 568.7 702.0 884.4 1017.6 1200.0 182.4 : 203.9 386.3 519.6 702.0 835.2 1017.6 1200.0 386.3 : 182.4 315.6 498.0 631.3 813.7 996.1 1200.0 568.7 : 133.2 315.6 448.9 631.3 813.7 1017.6 1200.0 702.0 : 182.4 315.6 498.0 680.4 884.4 1066.8 1200.0 884.4 : 133.2 315.6 498.0 702.0 884.4 1017.6 1200.0 1017.6: 182.4 364.8 568.7 751.1 884.4 1066.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.2376 .. 203.9100 cents 25/24, 70.6724 cents 27/25, 133.2376 cents 2: 315.6413 .. 386.3137 cents 25/24, 70.6724 cents 16/15, 111.7313 cents 3: 448.8789 .. 568.7174 cents 3125/2916, 119.8386 cents 648/625, 62.5651 cents 4: 631.2826 .. 751.1211 cents 3125/2916, 119.8386 cents 648/625, 62.5651 cents 5: 813.6863 .. 884.3587 cents 25/24, 70.6724 cents 648/625, 62.5651 cents 6: 996.0900 .. 1066.7624 cents 25/24, 70.6724 cents 16/15, 111.7313 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 27/25, 133.2376 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 9/8, 203.9100 cents Average / Smallest step : 1.286638 Largest / Average step : 1.189475 Largest / Smallest step : 1.530424 Median interval of one step : 10/9, 182.4037 cents, amount: 4 Most common interval of one step : 10/9, 182.4037 cents, amount: 4 Least squares average step : 174.25982 cents, oct.: 1219.81874 cents Scale is strictly proper Step pattern alph. order: ABACACA Step pattern size order : MLMSMSM Scale is a Constant Structure, by a margin of 62.56515 cents Scale diversity : 1.400686 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.564694 Rothenberg efficiency : 0.478912 redundancy: 0.521088 Efficiency x scale size : 3.352381 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 81/80, 21.5063 cents Most common triad is 0.0 182.404 884.359 cents, amount: 3 Number of recognisable fifths : 3, average 701.9550 cents Best fifths form a closed circle Best minor thirds form a closed circle Scale contains a complete diamond : 5 9 Length of longest harmonic part : 2 at degree 1 Length of longest subharmonic part : 2 at degree 0 Formal octave complements present : 3 = 42.8571% Scale is differentially coherent in interval classes 1 and 2 combined Scale is n-1 differentially coherent in interval class 2 Scale is n-1 differentially coherent in interval classes 4 and 5 combined Limited inverse transpositions with margin 119.8386 cents: 2 -- Rational properties -- Prime limit : 5 Odd number limit : 125 (O: 125 U: 125) Highest odd numerator or denominator: 25 Scale harmonicity : 0.030426 Average absolute harmonicity : 0.245442 Specific harmonicity : 0.183556 Fundamental : 1/180, -7.4919 octaves, 1.4535 Hz. Guide tone : 450, 8.8138 octaves, 117731.504 Hz. Exponens Consonantiae : 8.100000E+04, 16.30563 octaves Euler's gradus suavitatis : 24 Sum of Mann's harmonic distance : 50.5, average 7.21429 Mersenne's string divisions : 2058840 Sum of van Prooijen's expressibility: 5.18149, average 0.74021 Sum of Tenney's harmonic distance : 9.81697, average 1.40242 Vogel's harmonic complexity : 14.71429 Wille's k value : 112 Wilson's harmonic complexity : 27 Rectangular lattice diameter : 7 Triangular lattice diameter : 4 Lattice compactness : 72.71560, average 2.59699 Lattice compactness (without 2's) : 57.81827, average 2.06494 Number of different primes : 3 Prime exponents' range, average, count, tones@limit: 2: -2 .. 1 -0.28571 6 1 3: -2 .. 2 -0.28571 8 1 5: -1 .. 2 0.57143 6 5 Average exponent except 2's : 2 / 7 = 0.28571 Average absolute exponent except 2's: 14 / 7 = 2.00000 Scale is JI-epimorphic with val: <7 11 16| = patent
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.5119 c. M: 54.4317 c. Lebeng 9: 1 2 1 1 2 1 1 P M ME S SD: 37.6050 c. M: 49.0704 c. Pelog Saptanada: Sunda 12: 2 2 2 1 2 1 2 P D3 S SD: 17.0447 c. M:-31.2826 c. Lydian Dominant, Mela Vacaspati, Raga Bhusavati, Bhusavali, Vachaspati, Overtone, Lydian-Mixolydian, Bartok 15: 2 3 2 2 2 2 2 SP M ME S SD: 15.1741 c. M: 22.4037 c. Miller's Porcupine-7 Major 19: 3 3 3 2 3 2 3 SP D3 S SD: 5.4306 c. M: 7.3663 c. 34: 5 6 5 4 5 4 5 SP SD: 3.9576 c. M: 5.9331 c. 46: 7 8 7 5 7 5 7 SP SD: 3.0345 c. M:-5.1956 c. 53: 8 9 8 6 8 6 8 SP SD: 1.4241 c. M: 2.6797 c. 99: 15 17 15 11 15 11 15 SP SD: 0.8857 c. M:-1.5651 c. 118: 18 20 18 13 18 13 18 SP SD: 0.4885 c. M:-0.7741 c. 171: 26 29 26 19 26 19 26 SP SD: 0.1990 c. M: 0.3488 c. 289: 44 49 44 32 44 32 44 SP SD: 0.1977 c. M: 0.2952 c. 388: 59 66 59 43 59 43 59 SP SD: 0.1925 c. M:-0.3547 c. 441: 67 75 67 49 67 49 67 SP SD: 0.0660 c. M: 0.0908 c. 612: 93 104 93 68 93 68 93 SP SD: 0.0491 c. M: 0.0900 c. 730: 111 124 111 81 111 81 111 SP SD: 0.0420 c. M: 0.0620 c. 1171: 178 199 178 130 178 130 178 SP SD: 0.0150 c. M:-0.0272 c. 1342: 204 228 204 149 204 149 204 SP SD: 0.0141 c. M: 0.0246 c. 1783: 271 303 271 198 271 198 271 SP SD: 0.0100 c. M: 0.0145 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.0000 cents 3 x x 4 x 5 x 6 S SD: 23.5575 cents 4 x 5 x 6 x 7:8 S SD: 12.1926 cents 5 x 6:7 x 8:9:10 S SD: 20.1787 cents 6:7 x 8:9:10:11:12 S SD: 19.1038 cents 8:9:10:11:12:13:14:16 S SD: 10.1669 cents 9:10:11 x 14:15:16:18 SD: 12.8455 cents 10:11:13:14:15:17:18:20 SD: 11.3198 cents 12:13:15:17:18:20:22:24 SD: 9.1536 cents 15:17:19:21:23:25:27:30 SD: 8.2552 cents 16:18:20:22:24:27:29:32 SD: 5.2902 cents 20:22:25:28:30:33:36:40 SD: 4.0299 cents 28:31:35:39:42:47:50:56 SD: 2.8746 cents 36:40:45:50:54:60:65:72 SD: 0.7622 cents 80:89:100:111:120:133:144:160 SD: 0.7348 cents 100:111:125:139:150:167:180:200 SD: 0.5870 cents 108:120:135:150:162:180:194:216 SD: 0.5094 cents 136:151:170:189:204:227:245:272 SD: 0.4766 cents 144:160:180:200:216:240:259:288 SD: 0.1909 cents 180:200:225:250:270:300:324:360 SD: 0.0000 cents