Scala analysis: Indonesia_Slendro_Tandak_Geroh

Slendro Tandak Geroh, Indonesia

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        210.000 cents     210.000000
  2:        394.000 cents     394.000000
  3:        702.000 cents     702.000000
  4:        914.000 cents     914.000000
  5:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        286.0000 cents    286.0000
  1:        210.0000 cents    210.0000
  2:        184.0000 cents    184.0000
  3:        308.0000 cents    308.0000
  4:        212.0000 cents    212.0000
  5:        286.0000 cents    286.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 184.00000 cents
  1:   1 210.00000 cents
  1:   1 212.00000 cents
  1:   1 286.00000 cents
  1:   1 308.00000 cents
  2:   1 394.00000 cents
  2:   1 492.00000 cents
  2:   1 496.00000 cents
  2:   1 498.00000 cents
  2:   1 520.00000 cents
  3:   1 680.00000 cents
  3:   1 702.00000 cents
  3:   1 704.00000 cents
  3:   1 708.00000 cents
  3:   1 806.00000 cents
  4:   1 892.00000 cents
  4:   1 914.00000 cents
  4:   1 988.00000 cents
  4:   1 990.00000 cents
  4:   1 1016.00000 cents
Highest number of different intervals for one interval class: 5
Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
         1     2     3     4      5     
 0.0   : 210.0 394.0 702.0 914.0  1200.0
 210.0 : 184.0 492.0 704.0 990.0  1200.0
 394.0 : 308.0 520.0 806.0 1016.0 1200.0
 702.0 : 212.0 498.0 708.0 892.0  1200.0
 914.0 : 286.0 496.0 680.0 988.0  1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  184.0000  .. 308.0000 cents      124.00000 cents                    184.00000 cents
  2:  394.0000  .. 520.0000 cents      126.00000 cents                    86.00000 cents
  3:  680.0000  .. 806.0000 cents      126.00000 cents                    160.00000 cents
  4:  892.0000  .. 1016.0000 cents     124.00000 cents                    86.00000 cents
SHOW DATA
Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 184.00000 cents, class 1
Average step (divided formal octave): 240.0000 cents
Largest one step interval           : 308.00000 cents
Average / Smallest step             : 1.304348
Largest / Average step              : 1.283333
Largest / Smallest step             : 1.673913
Median interval of one step         : 212.00000 cents, amount: 1
Least squares average step          : 232.00000 cents, oct.:  1160.00000 cents
Scale is strictly proper
Scale is a mode of a 600-tone equal temperament with octave  1200.000 cents
  degrees: 105 197 351 457 600
Least number of segments generator  : 301 of 602.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 433 of 866.000 cents and inv.
  generated superset size: 154 = 149 more = 3080.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDE
Step pattern size order : BAECD
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 86.00000 cents
Scale diversity                     : 1.441119
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.583333
Rothenberg efficiency               : 0.400000   redundancy: 0.600000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 20 = 5.00000 / class
Number of one step interval sizes   : 5
Highest interval variety            : 5
Mean interval variety               : 5.00000 = 5
Median interval variety             : 5
Lowest interval variety             : 5
Smallest interval difference        : 2.00000 cents
Number of recognisable fifths       : 3, average 704.6667 cents
Best fifths form a closed circle
Formal octave complements present   : 1 = 20.0000%
Limited inverse transpositions with margin 126.0000 cents:
 2
-- Rational properties --
FIT/MODE
  5:  1 1 1 1 1  SP B ME I SD: 46.3379 c. M:-86.0000 c. 
  7:  1 1 2 1 2   P M ME S SD: 38.9905 c. M: 56.8571 c.  Thai mode 1
  9:  2 1 2 2 2  SP M ME S SD: 31.2068 c. M:-56.6667 c.  Noll Pseudo-diatonic
 10:  2 1 3 2 2   P   T3   SD: 29.9867 c. M:-46.0000 c. 
 12:  2 2 3 2 3  SP M ME S SD: 8.1976 c. M: 14.0000 c.  Major Pentatonic, Ryosen, Yona Nuki Major: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Bilahari, Deskar, Kokila, Jait Kalyan, Mohanam, Peruvian Pentatonic 1, Ghana Pentatonic 2, Tizita Major: Ethiopia
 22:  4 3 6 4 5  SP        SD: 9.3998 c. M:-13.2727 c.  Raga Bhupali
 29:  5 5 7 5 7  SP M DE S SD: 9.1308 c. M:-19.7931 c. 
 33:  6 5 8 6 8  SP   T3   SD: 7.0718 c. M: 11.0909 c. 
 34:  6 5 9 6 8  SP        SD: 3.5978 c. M: 5.7647 c. 
 46:  8 7 12 8 11  SP        SD: 1.7547 c. M: 2.6957 c. 
 97:  17 15 25 17 23  SP        SD: 1.7726 c. M:-3.1546 c. 
 104: 18 16 27 18 25  SP        SD: 1.8792 c. M: 2.4615 c. 
 109: 19 17 28 19 26  SP        SD: 1.6039 c. M:-2.5872 c. 
 113: 20 17 29 20 27  SP        SD: 1.3149 c. M:-2.3894 c. 
 125: 22 19 32 22 30  SP        SD: 1.1866 c. M: 2.0000 c. 
 159: 28 24 41 28 38  SP        SD: 0.9776 c. M: 1.5472 c. 
 164: 29 25 42 29 39  SP        SD: 1.1552 c. M:-2.1951 c. 
 171: 30 26 44 30 41  SP        SD: 0.9305 c. M: 1.7193 c. 
 176: 31 27 45 31 42  SP        SD: 0.9145 c. M:-1.4545 c. 
 210: 37 32 54 37 50  SP        SD: 0.7667 c. M:-1.4286 c. 
 222: 39 34 57 39 53  SP        SD: 0.5902 c. M:-0.8108 c. 
 268: 47 41 69 47 64  SP        SD: 0.5465 c. M:-0.9851 c. 
 332: 58 51 85 59 79  SP        SD: 0.4412 c. M: 0.7952 c. 
 344: 60 53 88 61 82  SP        SD: 0.4949 c. M: 0.8372 c. 
 366: 64 56 94 65 87  SP        SD: 0.4553 c. M:-0.7541 c. 
 378: 66 58 97 67 90  SP        SD: 0.3466 c. M: 0.4762 c. 
 390: 68 60 100 69 93  SP        SD: 0.4128 c. M: 0.7692 c. 
 424: 74 65 109 75 101  SP        SD: 0.3796 c. M: 0.6038 c. 
 429: 75 66 110 76 102  SP        SD: 0.3709 c. M:-0.6853 c. 
 441: 77 68 113 78 105  SP        SD: 0.3525 c. M:-0.5578 c. 
 475: 83 73 122 84 113  SP        SD: 0.3123 c. M:-0.5263 c. 
 487: 85 75 125 86 116  SP        SD: 0.3051 c. M: 0.5544 c. 
 503: 88 77 129 89 120  SP        SD: 0.3418 c. M: 0.6083 c. 
 508: 89 78 130 90 121  SP        SD: 0.3178 c. M:-0.4882 c. 
 542: 95 83 139 96 129  SP        SD: 0.2435 c. M:-0.3911 c. 
 554: 97 85 142 98 132  SP        SD: 0.1457 c. M:-0.2238 c. 
 600: 105 92 154 106 143  SP        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x x 2  S SD: 0.0000 cents
 2 x x 3 x 4  S SD: 0.0225 cents
 3 x 4 x 5:6  S SD: 36.0616 cents
 4 x 5:6:7:8  S SD: 13.8405 cents
 5 x 6 x 8:10  S SD: 42.4302 cents
 6:7:8:9:10:12  S SD: 24.4444 cents
 7:8:9:11:12:14    SD: 18.9538 cents
 8:9:10:12:14:16  S SD: 11.1392 cents
 14:16:18:21:24:28  S SD: 10.0043 cents
 16:18:20:24:27:32    SD: 2.5483 cents
 40:45:50:60:68:80    SD: 2.1699 cents
 46:52:58:69:78:92    SD: 1.5291 cents
 62:70:78:93:105:124    SD: 0.7915 cents
 78:88:98:117:132:156    SD: 0.7219 cents
 86:97:108:129:146:172    SD: 0.5627 cents
 102:115:128:153:173:204    SD: 0.5153 cents
 148:167:186:222:251:296    SD: 0.3888 cents
 164:185:206:246:278:328    SD: 0.3244 cents
 262:296:329:393:444:524    SD: 0.2990 cents
 270:305:339:405:458:540    SD: 0.2677 cents
 286:323:359:429:485:572    SD: 0.1689 cents
 348:393:437:522:590:696    SD: 0.1184 cents
 364:411:457:546:617:728    SD: 0.0958 cents
 450:508:565:675:763:900    SD: 0.0332 cents