Scala analysis: porchrome2
Second 25/24&250/243 scale = inverse porchrome3
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: 6/5 315.641287 minor 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: 27/25 133.2376 large limma, BP small semitone, Zarlino semitone 2: 10/9 182.4037 minor whole tone 3: 125/108 253.0761 semi-augmented 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: 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: 5 6/5 315.641 cents minor third 2: 1 5/4 386.314 cents major third 2: 1 625/486 435.480 cents 3: 2 162/125 448.879 cents 3: 2 4/3 498.045 cents perfect fourth 3: 3 25/18 568.717 cents classic augmented fourth 4: 3 36/25 631.283 cents classic diminished fifth 4: 2 3/2 701.955 cents perfect fifth 4: 2 125/81 751.121 cents 5: 1 972/625 764.520 cents 5: 1 8/5 813.686 cents minor sixth 5: 5 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: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 133.2 315.6 568.7 702.0 884.4 1017.6 1200.0 133.2 : 182.4 435.5 568.7 751.1 884.4 1066.8 1200.0 315.6 : 253.1 386.3 568.7 702.0 884.4 1017.6 1200.0 568.7 : 133.2 315.6 448.9 631.3 764.5 946.9 1200.0 702.0 : 182.4 315.6 498.0 631.3 813.7 1066.8 1200.0 884.4 : 133.2 315.6 448.9 631.3 884.4 1017.6 1200.0 1017.6: 182.4 315.6 498.0 751.1 884.4 1066.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.2376 .. 253.0761 cents 3125/2916, 119.8386 cents 27/25, 133.2376 cents 2: 315.6413 .. 435.4799 cents 3125/2916, 119.8386 cents 648/625, 62.5651 cents 3: 448.8789 .. 568.7174 cents 3125/2916, 119.8386 cents 78732/78125, 13.3990 cents 4: 631.2826 .. 751.1211 cents 3125/2916, 119.8386 cents 648/625, 62.5651 cents 5: 764.5201 .. 884.3587 cents 3125/2916, 119.8386 cents 78732/78125, 13.3990 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 : 172.89903 cents, oct.: 1210.29319 cents Scale is strictly proper Scale has trivalence property Step pattern alph. order: ABCABAB Step pattern size order : SMLSMSM Scale is a Constant Structure, by a margin of 13.39901 cents Scale diversity : 1.413097 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.400807 Rothenberg efficiency : 0.544218 redundancy: 0.455782 Efficiency x scale size : 3.809524 Number of different interval sizes : 18 = 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 : 78732/78125, 13.3990 cents Most common intervals : 6/5, 315.6413 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 133.238 315.641 cents Most common triad is 0.0 315.641 884.359 cents, amount: 3 Number of recognisable fifths : 2, average 701.9550 cents Scale contains a complete diamond : 3 5 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 -- Rational properties -- Prime limit : 5 Odd number limit : 625 (O: 625 U: 625) Highest odd numerator or denominator: 27 Scale harmonicity : 0.024430 Average absolute harmonicity : 0.238275 Specific harmonicity : 0.148698 Fundamental : 1/450, -8.8138 octaves, 0.5814 Hz. Guide tone : 1350, 10.3987 octaves, 353194.513 Hz. Exponens Consonantiae : 6.075000E+05, 19.21252 octaves Euler's gradus suavitatis : 29 Sum of Mann's harmonic distance : 68.0, average 9.71429 Mersenne's string divisions : 5165160 Sum of van Prooijen's expressibility: 5.65861, average 0.80837 Sum of Tenney's harmonic distance : 10.86812, average 1.55259 Vogel's harmonic complexity : 18.00000 Wille's k value : 337 Wilson's harmonic complexity : 35 Rectangular lattice diameter : 9 Triangular lattice diameter : 5 Lattice compactness : 77.34853, average 2.76245 Lattice compactness (without 2's) : 69.22545, average 2.47234 Number of different primes : 3 Prime exponents' range, average, count, tones@limit: 2: -1 .. 1 0.00000 4 1 3: -2 .. 3 0.57143 10 1 5: -2 .. 2 -0.14286 7 5 Average exponent except 2's : 3 / 7 = 0.42857 Average absolute exponent except 2's: 17 / 7 = 2.42857 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: 29.9690 c. M: 54.4317 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 27.0111 c. M:-48.0450 c. 11: 1 2 2 1 2 1 2 P M ME S SD: 26.5183 c. M: 47.4095 c. Orgone-7 12: 1 2 3 1 2 1 2 N T3 SD: 20.3051 c. M: 33.2376 c. Mela Sadvidhamargini, Raga Sthavarajam, Tivravahini 15: 2 2 3 2 2 2 2 SP M ME S SD: 15.3891 c. M:-26.7624 c. 19: 2 3 4 2 3 2 3 P T3 SD: 4.6311 c. M: 7.2182 c. 34: 4 5 7 4 5 4 5 SP T3 SD: 4.4367 c. M:-7.9389 c. 46: 5 7 10 5 7 5 7 P T3 SD: 2.7804 c. M:-5.1956 c. 53: 6 8 11 6 8 6 8 SP T3 SD: 1.6567 c. M: 2.6797 c. 72: 8 11 15 8 11 8 11 SP T3 SD: 1.2538 c. M: 2.0508 c. 99: 11 15 21 11 15 11 15 SP T3 SD: 0.6489 c. M:-1.0753 c. 118: 13 18 25 13 18 13 18 SP T3 SD: 0.5922 c. M: 1.0342 c. 152: 17 23 32 17 23 17 23 SP T3 SD: 0.5627 c. M:-0.9730 c. 171: 19 26 36 19 26 19 26 SP T3 SD: 0.1621 c. M: 0.2964 c. 270: 30 41 57 30 41 30 41 SP T3 SD: 0.1501 c. M:-0.2672 c. 441: 49 67 93 49 67 49 67 SP T3 SD: 0.0597 c. M:-0.0958 c. 612: 68 93 129 68 93 68 93 SP T3 SD: 0.0585 c. M:-0.0958 c. 730: 81 111 154 81 111 81 111 SP T3 SD: 0.0485 c. M: 0.0869 c. 901: 100 137 190 100 137 100 137 SP T3 SD: 0.0403 c. M: 0.0682 c. 1171: 130 178 247 130 178 130 178 SP T3 SD: 0.0149 c. M:-0.0272 c. 1342: 149 204 283 149 204 149 204 SP T3 SD: 0.0102 c. M: 0.0176 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: 21.4668 cents 5 x 6:7 x 8:9:10 S SD: 14.4012 cents 6 x 7:8:9:10:11:12 S SD: 15.2591 cents 7 x 8:10:11:12:13:14 S SD: 24.3273 cents 8:9:10:11:12:13:14:16 S SD: 17.2565 cents 9:10:11 x 14:15:16:18 SD: 14.7695 cents 10:11:12:14:15:17:18:20 SD: 6.9616 cents 15:16:18:21:23:25:27:30 SD: 6.5476 cents 16:17:19:22:24:27:29:32 SD: 6.4481 cents 20:22:24:28:30:33:36:40 S SD: 5.5368 cents 24:26:29:33:36:40:43:48 SD: 3.3175 cents 26:28:31:36:39:43:47:52 SD: 2.8928 cents 36:39:43:50:54:60:65:72 SD: 1.5744 cents 60:65:72:83:90:100:108:120 SD: 1.2504 cents 64:69:77:89:96:107:115:128 SD: 1.2141 cents 74:80:89:103:111:123:133:148 SD: 1.1146 cents 90:97:108:125:135:150:162:180 SD: 0.5094 cents 126:136:151:175:189:210:227:252 SD: 0.4193 cents 150:162:180:208:225:250:270:300 SD: 0.3960 cents 190:205:228:264:285:317:342:380 SD: 0.3697 cents 200:216:240:278:300:333:360:400 SD: 0.3168 cents 240:259:288:333:360:400:432:480 SD: 0.3125 cents 250:270:300:347:375:417:450:500 SD: 0.2533 cents 300:324:360:417:450:500:540:600 SD: 0.1978 cents 324:350:389:450:486:540:583:648 SD: 0.1630 cents 350:378:420:486:525:583:630:700 SD: 0.1523 cents 360:389:432:500:540:600:648:720 SD: 0.1272 cents 450:486:540:625:675:750:810:900 SD: 0.0000 cents