Scala analysis: 716_S25

  0:          1/1               0.000000 unison, perfect prime
  1:        153.810 cents     153.809520
  2:        284.365 cents     284.364810
  3:        498.050 cents     498.049800

  0:        213.6850 cents    213.6850
  1:        153.8095 cents    153.8095
  2:        130.5553 cents    130.5553
  3:        213.6850 cents    213.6850

Interval class, Number of incidences, Size:
  1:   1 130.55529 cents
  1:   1 153.80952 cents
  1:   1 213.68499 cents
  2:   1 284.36481 cents
  2:   1 344.24028 cents
  2:   1 367.49451 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3

        1     2     3    
 0.0  : 153.8 284.4 498.0
 153.8: 130.6 344.2 498.0
 284.4: 213.7 367.5 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  130.5553  .. 213.6850 cents      83.12970 cents                     130.55529 cents
  2:  284.3648  .. 367.4945 cents      83.12970 cents                     70.67982 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 130.55529 cents, class 1
Average step (divided formal octave): 166.0166 cents
Largest one step interval           : 213.68499 cents
Average / Smallest step             : 1.271619
Largest / Average step              : 1.287130
Largest / Smallest step             : 1.636739
Median interval of one step         : 153.80952 cents, amount: 1
Least squares average step          : 158.33490 cents, oct.:  475.00469 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 2121-tone equal temperament with octave  498.050 cents
  degrees: 655 1211 2121
Least number of segments generator  : 1061 of 249.142 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1342 of 315.126 cents and inv.
  generated superset size: 48 = 45 more = 1600.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : MSL
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 70.67982 cents
Scale diversity                     : 1.352378
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.666179
Rothenberg efficiency               : 0.666667   redundancy: 0.333333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 6 = 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        : 23.25423 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 83.1297 cents:
 2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 28.4094 c. M:-47.6684 c. 
  4:  1 1 2   P M ME S SD: 26.5030 c. M: 35.3399 c. 
  6:  2 1 3   P   T3   SD: 21.5864 c. M: 35.3399 c. 
  7:  2 2 3  SP M ME S SD: 6.6464 c. M: 11.5096 c. 
 12:  4 3 5  SP   T3   SD: 7.8954 c. M:-12.2071 c.  Raga Malasri, Peruvian tritonic 1
 16:  5 4 7  SP   T3   SD: 2.6515 c. M: 4.2118 c. 
 19:  6 5 8  SP   T3   SD: 3.0482 c. M:-3.9798 c. 
 23:  7 6 10  SP   T3   SD: 2.0928 c. M: 2.8584 c. 
 26:  8 7 11  SP   T3   SD: 1.7462 c. M:-2.9716 c. 
 35:  11 9 15  SP   T3   SD: 1.5765 c. M:-2.7204 c. 
 42:  13 11 18  SP   T3   SD: 0.2428 c. M:-0.3488 c. 
 133: 41 35 57  SP   T3   SD: 0.2090 c. M: 0.2754 c. 
 149: 46 39 64  SP   T3   SD: 0.1428 c. M: 0.2424 c. 
 175: 54 46 75  SP   T3   SD: 0.1539 c. M:-0.2351 c. 
 191: 59 50 82  SP   T3   SD: 0.0824 c. M: 0.1374 c. 
 233: 72 61 100  SP   T3   SD: 0.0679 c. M:-0.0943 c. 
 324: 100 85 139  SP   T3   SD: 0.0530 c. M: 0.0904 c. 
 366: 113 96 157  SP   T3   SD: 0.0330 c. M:-0.0407 c. 
 408: 126 107 175  SP   T3   SD: 0.0350 c. M:-0.0607 c. 
 515: 159 135 221  SP   T3   SD: 0.0343 c. M: 0.0427 c. 
 557: 172 146 239  SP   T3   SD: 0.0140 c. M: 0.0204 c. 
 599: 185 157 257  SP   T3   SD: 0.0072 c. M:-0.0122 c. 
 1156: 357 303 496  SP   T3   SD: 0.0064 c. M: 0.0111 c. 
 1522: 470 399 653  SP   T3   SD: 0.0056 c. M: 0.0096 c. 
 1564: 483 410 671  SP   T3   SD: 0.0044 c. M:-0.0076 c. 
 2121: 655 556 910  SP   T3   SD: 0.0020 c. M: 0.0035 c. 

 1 x x 2  S SD: 701.9502 cents
 2 x x 3  S SD: 203.9052 cents
 3 x x 4  S SD: 0.0048 cents
 4 x 5 x  S SD: 101.9489 cents
 5 x 6:7  S SD: 45.0336 cents
 6 x 7:8  S SD: 8.7470 cents
 7 x 8:9  S SD: 41.2127 cents
 8:9 x 11    SD: 36.5635 cents
 9:10:11:12  H SD: 23.0749 cents
 10:11:12:13  H SD: 18.3337 cents
 11:12:13:15    SD: 13.1099 cents
 12:13:14:16  S SD: 7.7330 cents
 21:23:25:28    SD: 5.9552 cents
 33:36:39:44    SD: 1.9304 cents
 78:85:92:104    SD: 1.7406 cents
 84:92:99:112    SD: 1.2283 cents
 96:105:113:128    SD: 0.8300 cents
 117:128:138:156    SD: 0.7534 cents
 129:141:152:172    SD: 0.1236 cents
 291:318:343:388    SD: 0.1101 cents
 420:459:495:560    SD: 0.0392 cents
 549:600:647:732    SD: 0.0087 cents