Scala analysis: Indonesia_Tandang_Mendet

Tandang Mendet, Indonesia

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        202.000 cents     202.000000
  2:        518.000 cents     518.000000
  3:        725.000 cents     725.000000
SHOW/INTERVAL
  0:        207.0000 cents    207.0000
  1:        202.0000 cents    202.0000
  2:        316.0000 cents    316.0000
  3:        207.0000 cents    207.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 202.00000 cents
  1:   1 207.00000 cents
  1:   1 316.00000 cents
  2:   1 409.00000 cents
  2:   1 518.00000 cents
  2:   1 523.00000 cents
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    
 0.0  : 202.0 518.0 725.0
 202.0: 316.0 523.0 725.0
 518.0: 207.0 409.0 725.0
 725.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  202.0000  .. 316.0000 cents      114.00000 cents                    202.00000 cents
  2:  409.0000  .. 523.0000 cents      114.00000 cents                    93.00000 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 202.00000 cents, class 1
Average step (divided formal octave): 241.6667 cents
Largest one step interval           : 316.00000 cents
Average / Smallest step             : 1.196370
Largest / Average step              : 1.307586
Largest / Smallest step             : 1.564356
Median interval of one step         : 207.00000 cents, amount: 1
Least squares average step          : 243.78571 cents, oct.:  731.35714 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 725-tone equal temperament with octave  725.000 cents
  degrees: 202 518 725
Least number of segments generator  : 363 of 363.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 518 of 518.000 cents and inv.
  generated superset size: 38 = 35 more = 1266.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SLM
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 93.00000 cents
Scale diversity                     : 1.708063
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.685517
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        : 5.00000 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  3:  1 1 1  SP B ME I SD: 30.4150 c. M:-39.6667 c. 
  4:  1 2 1   P M ME I SD: 19.0930 c. M:-25.7500 c. 
  7:  2 3 2  SP M ME I SD: 2.9704 c. M:-5.1429 c. 
 25:  7 11 7  SP M DE I SD: 2.3805 c. M:-4.0000 c. 
 32:  9 14 9  SP M DE I SD: 2.0980 c. M:-3.0938 c. 
 39:  11 17 11  SP M DE I SD: 2.0413 c. M:-2.5128 c. 
 76:  21 33 22  SP   T3   SD: 1.9166 c. M: 2.8684 c. 
 80:  22 35 23  SP   T3   SD: 1.7279 c. M: 2.6250 c. 
 83:  23 36 24  SP   T3   SD: 1.6496 c. M: 2.6386 c. 
 87:  24 38 25  SP   T3   SD: 1.3878 c. M: 2.0000 c. 
 94:  26 41 27  SP   T3   SD: 1.1112 c. M: 1.4681 c. 
 101: 28 44 29  SP   T3   SD: 0.8916 c. M: 1.1683 c. 
 108: 30 47 31  SP   T3   SD: 0.7274 c. M: 1.1019 c. 
 115: 32 50 33  SP   T3   SD: 0.6210 c. M: 1.0435 c. 
 119: 33 52 34  SP   T3   SD: 0.5544 c. M: 0.9496 c. 
 126: 35 55 36  SP   T3   SD: 0.3623 c. M: 0.6111 c. 
 133: 37 58 38  SP   T3   SD: 0.1962 c. M: 0.3083 c. 
 140: 39 61 40  SP   T3   SD: 0.0850 c. M: 0.1429 c. 
 427: 119 186 122  SP   T3   SD: 0.0872 c. M: 0.1429 c. 
 438: 122 191 125  SP   T3   SD: 0.0640 c. M:-0.0936 c. 
 445: 124 194 127  SP   T3   SD: 0.0535 c. M:-0.0899 c. 
 578: 161 252 165  SP   T3   SD: 0.0374 c. M: 0.0536 c. 
 585: 163 255 167  SP   T3   SD: 0.0203 c. M:-0.0342 c. 
 725: 202 316 207  SP   T3   SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x 2  S SD: 475.0000 cents
 2 x x 3  S SD: 23.0450 cents
 3 x 4:5  S SD: 80.3016 cents
 4 x 5:6  S SD: 66.8438 cents
 5:6:7:8  H SD: 52.6428 cents
 6:7:8:9  H SD: 23.8921 cents
 8:9:11:12    SD: 13.5187 cents
 14:16:19:21    SD: 12.8945 cents
 15:17:20:23    SD: 9.6556 cents
 17:19:23:26    SD: 5.0467 cents
 23:26:31:35    SD: 3.4983 cents
 40:45:54:61    SD: 2.0301 cents
 81:91:109:123    SD: 1.4704 cents
 89:100:120:135    SD: 1.2534 cents
 98:110:132:149    SD: 1.0468 cents
 106:119:143:161    SD: 0.7497 cents
 129:145:174:196    SD: 0.3077 cents
 267:300:360:406    SD: 0.2906 cents
 275:309:371:418    SD: 0.1481 cents
 396:445:534:602    SD: 0.1370 cents
 525:590:708:798    SD: 0.1045 cents