Scala analysis: porchrome7
Seventh 25/24&250/243 scale = inverse porchrome6
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 27/25 133.237575 large limma, BP small semitone, Zarlino semitone 2: 5/4 386.313714 major third 3: 27/20 519.551289 acute 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: 27/25 133.2376 large limma, BP small semitone, Zarlino semitone 2: 125/108 253.0761 semi-augmented whole tone 3: 27/25 133.2376 large limma, BP small semitone, Zarlino semitone 4: 10/9 182.4037 minor whole tone 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: 3 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 1: 3 10/9 182.404 cents minor whole tone 1: 1 125/108 253.076 cents semi-augmented 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: 1 216/125 946.924 cents semi-augmented sixth 6: 3 9/5 1017.596 cents just minor seventh, BP seventh 6: 3 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 : 133.2 386.3 519.6 702.0 884.4 1017.6 1200.0 133.2 : 253.1 386.3 568.7 751.1 884.4 1066.8 1200.0 386.3 : 133.2 315.6 498.0 631.3 813.7 946.9 1200.0 519.6 : 182.4 364.8 498.0 680.4 813.7 1066.8 1200.0 702.0 : 182.4 315.6 498.0 631.3 884.4 1017.6 1200.0 884.4 : 133.2 315.6 448.9 702.0 835.2 1017.6 1200.0 1017.6: 182.4 315.6 568.7 702.0 884.4 1066.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.2376 .. 253.0761 cents 3125/2916, 119.8386 cents 27/25, 133.2376 cents 2: 315.6413 .. 386.3137 cents 25/24, 70.6724 cents 648/625, 62.5651 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: 946.9239 .. 1066.7624 cents 3125/2916, 119.8386 cents 648/625, 62.5651 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 : 125/108, 253.0761 cents Average / Smallest step : 1.286638 Largest / Average step : 1.476277 Largest / Smallest step : 1.899435 Median interval of one step : 10/9, 182.4037 cents, amount: 3 Least squares average step : 172.85507 cents, oct.: 1209.98551 cents Scale is strictly proper Step pattern alph. order: ABACCAC Step pattern size order : SLSMMSM Scale is a Constant Structure, by a margin of 62.56515 cents Scale diversity : 1.446675 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.482751 Rothenberg efficiency : 0.466667 redundancy: 0.533333 Efficiency x scale size : 3.266667 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 intervals : 6/5, 315.6413 cents & inv., amount: 4 Most common triad is 0.0 315.641 884.359 cents, amount: 2 Number of recognisable fifths : 3, average 701.9550 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 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 3 and 4 combined -- Rational properties -- Prime limit : 5 Odd number limit : 125 (O: 125 U: 125) Highest odd numerator or denominator: 27 Scale harmonicity : 0.030426 Average absolute harmonicity : 0.242335 Specific harmonicity : 0.166262 Fundamental : 1/300, -8.2288 octaves, 0.8721 Hz. Guide tone : 270, 8.0768 octaves, 70638.903 Hz. Exponens Consonantiae : 8.100000E+04, 16.30563 octaves Euler's gradus suavitatis : 24 Sum of Mann's harmonic distance : 69.0, average 9.85714 Mersenne's string divisions : 1539720 Sum of van Prooijen's expressibility: 5.69203, average 0.81315 Sum of Tenney's harmonic distance : 10.77121, average 1.53874 Vogel's harmonic complexity : 16.42857 Wille's k value : 202 Wilson's harmonic complexity : 27 Rectangular lattice diameter : 7 Triangular lattice diameter : 4 Lattice compactness : 78.07831, average 2.78851 Lattice compactness (without 2's) : 63.13373, average 2.25478 Number of different primes : 3 Prime exponents' range, average, count, tones@limit: 2: -2 .. 1 -0.57143 6 1 3: -1 .. 3 1.14286 10 1 5: -2 .. 1 -0.28571 6 5 Average exponent except 2's : 6 / 7 = 0.85714 Average absolute exponent except 2's: 16 / 7 = 2.28571 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: 25.3537 c. M: 43.4566 c. Lebeng 12: 1 3 1 2 2 1 2 P D3 SD: 17.8582 c. M: 33.2376 c. Harmonic Minor inverse, Mixolydian flat 2, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Hevitri, Vegavahini, Makam Hicaz, Zanjaran 16: 2 3 2 2 3 2 2 SP M ME S SD: 18.7460 c. M:-32.4037 c. Mavila-7, Antiaeolian 18: 2 4 2 3 2 2 3 P T3 S SD: 16.8375 c. M:-31.3783 c. 19: 2 4 2 3 3 2 3 SP D3 SD: 7.6386 c. M: 14.2881 c. 27: 3 6 3 4 4 3 4 SP SD: 8.4771 c. M:-13.7820 c. 33: 4 7 3 5 5 4 5 SP SD: 10.0259 c. M:-13.6863 c. 34: 4 7 4 5 5 4 5 SP SD: 5.5882 c. M:-9.8605 c. 46: 5 10 5 7 7 5 7 SP SD: 2.6743 c. M:-4.9906 c. 53: 6 11 6 8 8 6 8 SP SD: 1.3973 c. M:-2.6115 c. 99: 11 21 11 15 15 11 15 SP SD: 0.9969 c. M:-1.6608 c. 118: 13 25 13 18 18 13 18 SP SD: 0.6030 c. M: 1.0342 c. 171: 19 36 19 26 26 19 26 SP SD: 0.1927 c. M: 0.3488 c. 388: 43 82 43 59 59 43 59 SP SD: 0.1654 c. M:-0.2842 c. 441: 49 93 49 67 67 49 67 SP SD: 0.0945 c. M:-0.1766 c. 559: 62 118 62 85 85 62 85 SP SD: 0.0772 c. M: 0.1428 c. 612: 68 129 68 93 93 68 93 SP SD: 0.0515 c. M:-0.0958 c. 730: 81 154 81 111 111 81 111 SP SD: 0.0578 c. M: 0.0992 c. 901: 100 190 100 137 137 100 137 SP SD: 0.0690 c. M: 0.1284 c. 1000: 111 211 111 152 152 111 152 SP SD: 0.0462 c. M:-0.0863 c. 1171: 130 247 130 178 178 130 178 SP SD: 0.0129 c. M:-0.0228 c. 1783: 198 376 198 271 271 198 271 SP SD: 0.0134 c. M:-0.0225 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: 7.1688 cents 4 x 5 x 6 x 7:8 S SD: 12.1926 cents 5 x 6:7 x 8:9:10 S SD: 23.6248 cents 6 x x 8:9:10:11:12 S SD: 7.6724 cents 7:8:9 x 11:12:13:14 SD: 25.6917 cents 8:9:10:11:12:13:14:16 S SD: 14.5008 cents 9:10:11:12:14:15:16:18 S SD: 13.4165 cents 10:11 x 14:15:17:18:20 SD: 13.0687 cents 11:12:14:15:17:18:20:22 SD: 10.6536 cents 12:13:15:16:18:20:22:24 SD: 5.5330 cents 20:22:25:27:30:33:36:40 SD: 5.1742 cents 24:26:30:32:36:40:43:48 SD: 3.3671 cents 36:39:45:49:54:60:65:72 SD: 2.2959 cents 40:43:50:54:60:67:72:80 SD: 1.6848 cents 48:52:60:65:72:80:86:96 SD: 1.5744 cents 60:65:75:81:90:100:108:120 SD: 0.7622 cents 100:108:125:135:150:167:180:200 SD: 0.4941 cents 140:151:175:189:210:233:252:280 SD: 0.4818 cents 160:173:200:216:240:267:288:320 SD: 0.4211 cents 200:216:250:270:300:333:360:400 SD: 0.2474 cents 240:259:300:324:360:400:432:480 SD: 0.1909 cents 300:324:375:405:450:500:540:600 SD: 0.0000 cents