Scala analysis: Solomon_Islands_Panpipes_40

40 (Panpipes), Solomon Islands

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        343.000 cents     343.000000
  2:        746.000 cents     746.000000
  3:        890.000 cents     890.000000
  4:       1048.000 cents    1048.000000
  5:       1189.000 cents    1189.000000
  6:       1541.000 cents    1541.000000
SHOW/INTERVAL
  0:        352.0000 cents    352.0000
  1:        343.0000 cents    343.0000
  2:        403.0000 cents    403.0000
  3:        144.0000 cents    144.0000
  4:        158.0000 cents    158.0000
  5:        141.0000 cents    141.0000
  6:        352.0000 cents    352.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 141.00000 cents
  1:   1 144.00000 cents
  1:   1 158.00000 cents
  1:   1 343.00000 cents
  1:   1 352.00000 cents
  1:   1 403.00000 cents
  2:   1 299.00000 cents
  2:   1 302.00000 cents
  2:   1 493.00000 cents
  2:   1 547.00000 cents
  2:   1 695.00000 cents
  2:   1 746.00000 cents
  3:   1 443.00000 cents
  3:   1 651.00000 cents
  3:   1 705.00000 cents
  3:   1 836.00000 cents
  3:   1 890.00000 cents
  3:   1 1098.00000 cents
  4:   1 795.00000 cents
  4:   1 846.00000 cents
  4:   1 994.00000 cents
  4:   1 1048.00000 cents
  4:   1 1239.00000 cents
  4:   1 1242.00000 cents
  5:   1 1138.00000 cents
  5:   1 1189.00000 cents
  5:   1 1198.00000 cents
  5:   1 1383.00000 cents
  5:   1 1397.00000 cents
  5:   1 1400.00000 cents
Highest number of different intervals for one interval class: 6
Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
         1     2     3      4      5      6     
 0.0   : 343.0 746.0 890.0  1048.0 1189.0 1541.0
 343.0 : 403.0 547.0 705.0  846.0  1198.0 1541.0
 746.0 : 144.0 302.0 443.0  795.0  1138.0 1541.0
 890.0 : 158.0 299.0 651.0  994.0  1397.0 1541.0
 1048.0: 141.0 493.0 836.0  1239.0 1383.0 1541.0
 1189.0: 352.0 695.0 1098.0 1242.0 1400.0 1541.0
 1541.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  141.0000  .. 403.0000 cents      262.00000 cents                    141.00000 cents
  2:  299.0000  .. 746.0000 cents      447.00000 cents                   -104.00000 cents
  3:  443.0000  .. 1098.0000 cents     655.00000 cents                   -303.00000 cents
  4:  795.0000  .. 1242.0000 cents     447.00000 cents                   -303.00000 cents
  5:  1138.0000 .. 1400.0000 cents     262.00000 cents                   -104.00000 cents
SHOW DATA
Number of notes                     : 6
-- Interval properties --
Smallest interval                   : 141.00000 cents, class 1
Average step (divided formal octave): 256.8333 cents
Largest one step interval           : 403.00000 cents
Average / Smallest step             : 1.821513
Largest / Average step              : 1.569111
Largest / Smallest step             : 2.858156
Median interval of one step         : 250.50000 cents, amount: 0
Least squares average step          : 262.50549 cents, oct.:  1575.03297 cents
Scale is not proper
Scale is a mode of a 1541-tone equal temperament with octave  1541.000 cents
  degrees: 343 746 890 1048 1189 1541
Least number of segments generator  : 771 of 771.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1193 of 1193.000 cents and inv.
  generated superset size: 282 = 276 more = 4700.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDEF
Step pattern size order : DFBCAE
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 10.00000 cents
Scale diversity                     : 0.929062
Lumma stability                     : 0.182998
Lumma impropriety factor            : 0.528228
Rothenberg efficiency               : 0.333333   redundancy: 0.666667
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 30 = 6.00000 / class
Number of one step interval sizes   : 6
Highest interval variety            : 6
Mean interval variety               : 6.00000 = 6
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 3.00000 cents
Number of recognisable fifths       : 2, average 700.0000 cents
Number of recognisable fourths      : 1, average 493.0000 cents
Formal octave complements present   : 1 = 16.6667%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  6:  1 2 0 1 0 2   N   T3   SD: 90.2482 c. M: 161.6667 c. 
  7:  2 1 1 1 0 2   N        SD: 67.6376 c. M:-97.2857 c. 
  8:  2 2 1 0 1 2   N        SD: 51.7074 c. M: 84.8750 c. 
  9:  2 2 1 1 1 2   N        SD: 30.0049 c. M: 61.1111 c. 
 10:  2 3 1 1 1 2   N        SD: 31.2767 c. M:-43.8000 c. 
 12:  3 3 1 1 1 3   N        SD: 25.8118 c. M:-42.2500 c. 
 14:  3 4 1 2 1 3   N        SD: 26.1599 c. M:-52.7143 c. 
 17:  4 4 2 2 1 4   N        SD: 21.5327 c. M:-39.7647 c. 
 18:  4 5 1 2 2 4   N        SD: 19.4398 c. M: 33.8889 c. 
 19:  4 5 2 2 2 4   N        SD: 15.3225 c. M:-27.5789 c. 
 21:  5 5 2 2 2 5   N        SD: 15.5896 c. M:-23.9048 c. 
 22:  5 6 2 2 2 5   N        SD: 13.4586 c. M:-24.5000 c. 
 27:  6 7 3 2 3 6   N        SD: 13.3702 c. M:-23.1852 c. 
 31:  7 8 3 3 3 7   N        SD: 3.6661 c. M:-4.9677 c. 
 66:  15 17 6 7 6 15   N        SD: 3.4520 c. M:-7.2273 c. 
 87:  19 23 8 9 8 20   N        SD: 3.6260 c. M: 6.4598 c. 
 95:  21 25 9 10 8 22   N        SD: 3.5226 c. M:-6.3684 c. 
 97:  22 25 9 10 9 22   N        SD: 2.8688 c. M:-6.5052 c. 
 109: 24 29 10 11 10 25   N        SD: 2.2487 c. M: 3.6972 c. 
 118: 26 31 11 12 11 27   N        SD: 2.2133 c. M: 3.4576 c. 
 135: 30 35 13 14 12 31   N        SD: 2.0358 c. M: 4.0370 c. 
 140: 31 37 13 14 13 32   N        SD: 1.6968 c. M:-2.4857 c. 
 144: 32 38 13 15 13 33   N        SD: 1.5781 c. M:-3.0972 c. 
 149: 33 39 14 15 14 34   N        SD: 1.6810 c. M: 3.4295 c. 
 153: 34 40 14 16 14 35   N        SD: 1.5707 c. M: 3.6732 c. 
 166: 37 43 16 17 15 38   N        SD: 1.5494 c. M: 3.3494 c. 
 175: 39 46 16 18 16 40   N        SD: 1.0655 c. M:-2.4857 c. 
 184: 41 48 17 19 17 42   N        SD: 1.0741 c. M: 2.2500 c. 
 206: 46 54 19 21 19 47   N        SD: 1.0152 c. M:-2.0583 c. 
 215: 48 56 20 22 20 49   N        SD: 0.9997 c. M: 1.5535 c. 
 275: 61 72 26 28 25 63   N        SD: 0.8095 c. M: 1.1782 c. 
 306: 68 80 29 31 28 70   N        SD: 0.7266 c. M:-1.3627 c. 
 310: 69 81 29 32 28 71   N        SD: 0.5492 c. M: 0.9387 c. 
 341: 76 89 32 35 31 78   N        SD: 0.3669 c. M: 0.4868 c. 
 516: 115 135 48 53 47 118   N        SD: 0.3610 c. M:-0.6085 c. 
 535: 119 140 50 55 49 122   N        SD: 0.3210 c. M:-0.5944 c. 
 634: 141 166 59 65 58 145   N        SD: 0.3266 c. M: 0.4369 c. 
 665: 148 174 62 68 61 152   N        SD: 0.2733 c. M: 0.5835 c. 
 800: 178 209 75 82 73 183   N        SD: 0.3116 c. M: 0.5413 c. 
 810: 180 212 76 83 74 185   N        SD: 0.3051 c. M: 0.5556 c. 
 822: 183 215 77 84 75 188   N        SD: 0.2740 c. M:-0.4805 c. 
 845: 188 221 79 87 77 193   N        SD: 0.2620 c. M:-0.6095 c. 
 859: 191 225 80 88 79 196   N        SD: 0.2913 c. M:-0.3865 c. 
 876: 195 229 82 90 80 200   N        SD: 0.2075 c. M:-0.4429 c. 
 907: 202 237 85 93 83 207   N        SD: 0.2283 c. M:-0.3054 c. 
 975: 217 255 91 100 89 223   N        SD: 0.2045 c. M: 0.4544 c. 
 1006: 224 263 94 103 92 230   N        SD: 0.1707 c. M: 0.3161 c. 
 1051: 234 275 98 108 96 240   N        SD: 0.1987 c. M:-0.3492 c. 
 1060: 236 277 99 109 97 242   N        SD: 0.1837 c. M: 0.2906 c. 
 1082: 241 283 101 111 99 247   N        SD: 0.2057 c. M:-0.2884 c. 
 1091: 243 285 102 112 100 249   N        SD: 0.1878 c. M:-0.2961 c. 
 1169: 260 306 109 120 107 267   N        SD: 0.1435 c. M: 0.2626 c. 
 1200: 267 314 112 123 110 274   N        SD: 0.1043 c. M:-0.1383 c. 
 1510: 336 395 141 155 138 345   N        SD: 0.0753 c. M: 0.1020 c. 
 1541: 343 403 144 158 141 352   N        SD: 0.0000 c. M: 0.0000 c. 
FIT/HARMONIC
 1 x x x x 2 x  S SD: 11.0000 cents
 2 x 3 x x 4:5  S SD: 21.3809 cents
 3:4 x 5 x 6:7  S SD: 43.0747 cents
 4:5:6:7 x 8:10  S SD: 22.0942 cents
 5:6:8 x 9:10:12  S SD: 16.7552 cents
 6:7:9:10:11:12:15    SD: 16.6196 cents
 8:10:12:13:15:16:19    SD: 16.5808 cents
 9:11:14:15:16:18:22    SD: 9.5245 cents
 13:16:20:22:24:26:32    SD: 6.1150 cents
 18:22:28:30:33:36:44    SD: 3.9895 cents
 28:34:43:47:51:56:68    SD: 3.0994 cents
 37:45:57:62:68:74:90    SD: 2.3100 cents
 46:56:71:77:84:91:112    SD: 1.9149 cents
 54:66:83:90:99:107:132    SD: 1.8524 cents
 55:67:85:92:101:109:134    SD: 1.6826 cents
 59:72:91:99:108:117:144    SD: 1.5529 cents
 65:79:100:109:119:129:158    SD: 1.4008 cents
 67:82:103:112:123:133:163    SD: 1.3858 cents
 73:89:112:122:134:145:178    SD: 1.0931 cents
 78:95:120:130:143:155:190    SD: 1.0084 cents
 82:100:126:137:150:163:200    SD: 0.7575 cents
 119:145:183:199:218:236:290    SD: 0.6660 cents
 137:167:211:229:251:272:334    SD: 0.5098 cents
 156:190:240:261:286:310:380    SD: 0.4011 cents
 214:261:329:358:392:425:521    SD: 0.3722 cents
 219:267:337:366:401:435:533    SD: 0.3176 cents
 232:283:357:388:425:461:565    SD: 0.1831 cents
 375:457:577:627:687:745:913    SD: 0.1704 cents
 388:473:597:649:711:771:945    SD: 0.1404 cents
 470:573:723:786:861:934:1145    SD: 0.1198 cents
 570:695:877:953:1044:1133:1388    SD: 0.0999 cents