Scala analysis: parizekmic5
Parizekmic[5], (676/675 tempering), POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 248.889 cents 248.889230 2: 453.332 cents 453.332320 3: 702.222 cents 702.221550 4: 951.111 cents 951.110770 5: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 248.8892 cents 248.8892 1: 248.8892 cents 248.8892 2: 204.4431 cents 204.4431 3: 248.8892 cents 248.8892 4: 248.8892 cents 248.8892 5: 248.8892 cents 248.8892
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 204.44309 cents 1: 4 248.88923 cents 2: 2 453.33232 cents 2: 3 497.77845 cents 3: 3 702.22155 cents 3: 2 746.66768 cents 4: 4 951.11077 cents 4: 1 995.55691 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 248.9 453.3 702.2 951.1 1200.0 248.9 : 204.4 453.3 702.2 951.1 1200.0 453.3 : 248.9 497.8 746.7 995.6 1200.0 702.2 : 248.9 497.8 746.7 951.1 1200.0 951.1 : 248.9 497.8 702.2 951.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 204.4431 .. 248.8892 cents 44.44614 cents 204.44309 cents 2: 453.3323 .. 497.7785 cents 44.44613 cents 204.44309 cents 3: 702.2215 .. 746.6677 cents 44.44613 cents 204.44310 cents 4: 951.1108 .. 995.5569 cents 44.44614 cents 204.44309 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 204.44309 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 248.88923 cents Average / Smallest step : 1.173921 Largest / Average step : 1.037038 Largest / Smallest step : 1.217401 Median interval of one step : 248.88923 cents, amount: 4 Most common interval of one step : 248.88923 cents, amount: 4 Least squares average step : 237.57567 cents, oct.: 1187.87833 cents Scale is strictly proper Scale has Myhill's property chromas: 44.44614 cents and 159.99695 cents, ratio: 3.599794 generators: 1 of 248.88923 cents and 4 of 951.11077 cents ET pair of linear temperament : 24&29 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 135-tone equal temperament with octave 2/1 degrees: 28 51 79 107 135 generators: 28 and 107 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAA Step pattern size order : LSLLL Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 ] Scale is a Constant Structure, by a margin of 204.44309 cents Scale diversity : 1.176201 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.851846 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 44.44613 cents Most common intervals : 248.88923 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 453.332 951.111 cents Most common triad is 0.0 248.889 951.111 cents, amount: 3 Number of recognisable fifths : 3, average 702.2215 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 60.0000% Limited inverse transpositions : 3 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 1-2 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 15.3966 c. M:-26.6677 c. 14: 3 2 3 3 3 SP M ME S SD: 14.2957 c. M: 24.7609 c. 19: 4 3 4 4 4 SP M ME S SD: 6.4819 c. M: 11.2271 c. 24: 5 4 5 5 5 SP M ME S SD: 1.9239 c. M: 3.3323 c. 29: 6 5 6 6 6 SP M ME S SD: 1.0624 c. M:-1.8401 c. 53: 11 9 11 11 11 SP M DE S SD: 0.2899 c. M: 0.5021 c. 82: 17 14 17 17 17 SP M DE S SD: 0.1883 c. M:-0.3262 c. 135: 28 23 28 28 28 SP M DE S SD: 0.0006 c. M:-0.0010 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.1333 cents 3 x 4 x 5:6 S SD: 26.7811 cents 4 x 5:6:7:8 S SD: 17.3302 cents 5:6 x 8:9:10 S SD: 36.4868 cents 6:7:8:9:10:12 S SD: 16.4663 cents 10:12:13:15:17:20 SD: 14.8471 cents 12:14:16:18:21:24 S SD: 10.2693 cents 14:16:18:21:24:28 S SD: 6.2297 cents 20:23:26:30:35:40 SD: 3.8088 cents 26:30:34:39:45:52 SD: 2.2494 cents 40:46:52:60:69:80 SD: 2.0062 cents 44:51:57:66:76:88 SD: 1.9598 cents 60:69:78:90:104:120 SD: 1.4166 cents 64:74:83:96:111:128 SD: 0.9312 cents 90:104:117:135:156:180 SD: 0.4083 cents 130:150:169:195:225:260 SD: 0.4083 cents 194:224:252:291:336:388 SD: 0.1209 cents 284:328:369:426:492:568 SD: 0.1176 cents 414:478:538:621:717:828 SD: 0.0936 cents 478:552:621:717:828:956 SD: 0.0931 cents