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