Scala analysis: Solomon_Islands_Panpipes_42

42 (Panpipes), Solomon Islands

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        398.000 cents     398.000000
  2:        600.000 cents     600.000000
  3:        775.000 cents     775.000000
  4:       1097.000 cents    1097.000000
SHOW/INTERVAL
  0:        322.0000 cents    322.0000
  1:        398.0000 cents    398.0000
  2:        202.0000 cents    202.0000
  3:        175.0000 cents    175.0000
  4:        322.0000 cents    322.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 175.00000 cents
  1:   1 202.00000 cents
  1:   1 322.00000 cents
  1:   1 398.00000 cents
  2:   1 377.00000 cents
  2:   1 497.00000 cents
  2:   1 600.00000 cents
  2:   1 720.00000 cents
  3:   1 699.00000 cents
  3:   1 775.00000 cents
  3:   1 895.00000 cents
  3:   1 922.00000 cents
Highest number of different intervals for one interval class: 4
Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     
 0.0   : 398.0 600.0 775.0 1097.0
 398.0 : 202.0 377.0 699.0 1097.0
 600.0 : 175.0 497.0 895.0 1097.0
 775.0 : 322.0 720.0 922.0 1097.0
 1097.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  175.0000  .. 398.0000 cents      223.00000 cents                    175.00000 cents
  2:  377.0000  .. 720.0000 cents      343.00000 cents                   -21.00000 cents
  3:  699.0000  .. 922.0000 cents      223.00000 cents                   -21.00000 cents
SHOW DATA
Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 175.00000 cents, class 1
Average step (divided formal octave): 274.2500 cents
Largest one step interval           : 398.00000 cents
Average / Smallest step             : 1.567143
Largest / Average step              : 1.451231
Largest / Smallest step             : 2.274286
Median interval of one step         : 262.00000 cents, amount: 0
Least squares average step          : 277.03333 cents, oct.:  1108.13333 cents
Scale is not proper
Scale is a mode of a 1097-tone equal temperament with octave  1097.000 cents
  degrees: 398 600 775 1097
Least number of segments generator  : 549 of 549.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 775 of 775.000 cents and inv.
  generated superset size: 85 = 81 more = 2125.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCD
Step pattern size order : DBAC
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 21.00000 cents
Scale diversity                     : 1.762353
Lumma stability                     : 0.319052
Lumma impropriety factor            : 0.038286
Rothenberg efficiency               : 0.500000   redundancy: 0.500000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 12 = 4.00000 / class
Number of one step interval sizes   : 4
Highest interval variety            : 4
Mean interval variety               : 4.00000 = 4
Median interval variety             : 4
Lowest interval variety             : 4
Smallest interval difference        : 21.00000 cents
Number of recognisable fifths       : 2, average 709.5000 cents
Number of appreciable fifths        : 1, average 699.0000 cents
Number of recognisable fourths      : 1, average 497.0000 cents
Formal octave complements present   : 1 = 25.0000%
2/1 octave complements present      : 1 = 25.0000%
-- Rational properties --
FIT/MODE
  4:  1 1 1 1  SP B ME I SD: 71.1449 c. M: 123.7500 c. 
  5:  2 1 1 1   P M ME   SD: 62.4072 c. M:-102.6000 c. 
  6:  2 1 1 2   P   D3 I SD: 37.4315 c. M: 51.5000 c. 
  8:  3 1 2 2   P   T3   SD: 35.7463 c. M: 51.5000 c. 
  9:  3 2 1 3   P        SD: 27.5745 c. M: 43.6667 c. 
 11:  4 2 2 3   P        SD: 11.4474 c. M:-22.8182 c. 
 16:  6 3 2 5   N        SD: 15.0265 c. M: 20.8125 c. 
 17:  6 3 3 5   P        SD: 11.0404 c. M: 19.2353 c. 
 20:  7 4 3 6   P        SD: 8.0473 c. M: 14.0500 c. 
 24:  9 4 4 7   N        SD: 7.3587 c. M:-13.3750 c. 
 27:  10 5 4 8   N        SD: 6.4663 c. M:-9.4444 c. 
 31:  11 6 5 9   P        SD: 4.7771 c. M: 8.7419 c. 
 33:  12 6 5 10   N        SD: 5.2955 c. M: 10.4242 c. 
 38:  14 7 6 11   N        SD: 4.9142 c. M:-6.2368 c. 
 44:  16 8 7 13   N        SD: 1.4117 c. M: 2.1136 c. 
 99:  36 18 16 29   N        SD: 0.9919 c. M: 1.6364 c. 
 119: 43 22 19 35   N        SD: 0.9529 c. M: 1.6050 c. 
 130: 47 24 21 38   N        SD: 1.0590 c. M: 1.3923 c. 
 143: 52 26 23 42   N        SD: 0.9411 c. M: 1.6364 c. 
 146: 53 27 23 43   N        SD: 0.7807 c. M:-1.0959 c. 
 157: 57 29 25 46   N        SD: 0.5560 c. M:-0.9045 c. 
 201: 73 37 32 59   N        SD: 0.2701 c. M:-0.4129 c. 
 320: 116 59 51 94   N        SD: 0.2118 c. M: 0.3375 c. 
 375: 136 69 60 110   N        SD: 0.2022 c. M: 0.3067 c. 
 477: 173 88 76 140   N        SD: 0.1411 c. M:-0.2453 c. 
 521: 189 96 83 153   N        SD: 0.0905 c. M: 0.1516 c. 
 576: 209 106 92 169   N        SD: 0.0819 c. M:-0.1372 c. 
 777: 282 143 124 228   N        SD: 0.0872 c. M:-0.1390 c. 
 896: 325 165 143 263   N        SD: 0.0606 c. M: 0.0926 c. 
 1053: 382 194 168 309   N        SD: 0.0590 c. M:-0.0883 c. 
 1097: 398 202 175 322   N        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x 2  S SD: 103.0000 cents
 2 x x 3:4  S SD: 63.1359 cents
 3:4 x 5:6  S SD: 60.1640 cents
 4:5 x 6:8  S SD: 42.2705 cents
 5:6:7:8:9  H SD: 30.5065 cents
 6:8 x 9:11    SD: 44.2391 cents
 7:9:10:11:13    SD: 12.1891 cents
 12:15:17:19:23    SD: 9.4467 cents
 16:20:23:25:30    SD: 7.9760 cents
 19:24:27:30:36    SD: 5.2903 cents
 27:34:38:42:51    SD: 3.4369 cents
 34:43:48:53:64    SD: 2.8257 cents
 43:54:61:67:81    SD: 2.4319 cents
 46:58:65:72:87    SD: 1.8119 cents
 58:73:82:91:109    SD: 1.6908 cents
 62:78:88:97:117    SD: 1.6875 cents
 78:98:110:122:147    SD: 1.4124 cents
 85:107:120:133:160    SD: 0.9039 cents
 104:131:147:163:196    SD: 0.8674 cents
 128:161:181:200:241    SD: 0.7426 cents
 140:176:198:219:264    SD: 0.5458 cents
 147:185:208:230:277    SD: 0.2324 cents
 321:404:454:502:605    SD: 0.2290 cents
 372:468:526:582:701    SD: 0.1606 cents
 379:477:536:593:714    SD: 0.1377 cents
 425:535:601:665:801    SD: 0.1376 cents
 519:653:734:812:978    SD: 0.1020 cents