Scala analysis: Solomon_Islands_Panpipes_39

39 (Panpipes), Solomon Islands

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        308.000 cents     308.000000
  2:        688.000 cents     688.000000
  3:        876.000 cents     876.000000
  4:       1040.000 cents    1040.000000
  5:       1213.000 cents    1213.000000
  6:       1523.000 cents    1523.000000
  7:       1715.000 cents    1715.000000
SHOW/INTERVAL
  0:        192.0000 cents    192.0000
  1:        308.0000 cents    308.0000
  2:        380.0000 cents    380.0000
  3:        188.0000 cents    188.0000
  4:        164.0000 cents    164.0000
  5:        173.0000 cents    173.0000
  6:        310.0000 cents    310.0000
  7:        192.0000 cents    192.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 164.00000 cents
  1:   1 173.00000 cents
  1:   1 188.00000 cents
  1:   1 192.00000 cents
  1:   1 308.00000 cents
  1:   1 310.00000 cents
  1:   1 380.00000 cents
  2:   1 337.00000 cents
  2:   1 352.00000 cents
  2:   1 483.00000 cents
  2:   1 500.00000 cents
  2:   1 502.00000 cents
  2:   1 568.00000 cents
  2:   1 688.00000 cents
  3:   1 525.00000 cents
  3:   1 647.00000 cents
  3:   1 675.00000 cents
  3:   1 732.00000 cents
  3:   1 810.00000 cents
  3:   1 876.00000 cents
  3:   1 880.00000 cents
  4:   1 835.00000 cents
  4:   1 839.00000 cents
  4:   1 905.00000 cents
  4:   1 983.00000 cents
  4:   1 1040.00000 cents
  4:   1 1068.00000 cents
  4:   1 1190.00000 cents
  5:   1 1027.00000 cents
  5:   1 1147.00000 cents
  5:   1 1213.00000 cents
  5:   1 1215.00000 cents
  5:   1 1232.00000 cents
  5:   1 1363.00000 cents
  5:   1 1378.00000 cents
  6:   1 1335.00000 cents
  6:   1 1405.00000 cents
  6:   1 1407.00000 cents
  6:   1 1523.00000 cents
  6:   1 1527.00000 cents
  6:   1 1542.00000 cents
  6:   1 1551.00000 cents
Highest number of different intervals for one interval class: 7
Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
         1     2     3     4      5      6      7     
 0.0   : 308.0 688.0 876.0 1040.0 1213.0 1523.0 1715.0
 308.0 : 380.0 568.0 732.0 905.0  1215.0 1407.0 1715.0
 688.0 : 188.0 352.0 525.0 835.0  1027.0 1335.0 1715.0
 876.0 : 164.0 337.0 647.0 839.0  1147.0 1527.0 1715.0
 1040.0: 173.0 483.0 675.0 983.0  1363.0 1551.0 1715.0
 1213.0: 310.0 502.0 810.0 1190.0 1378.0 1542.0 1715.0
 1523.0: 192.0 500.0 880.0 1068.0 1232.0 1405.0 1715.0
 1715.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  164.0000  .. 380.0000 cents      216.00000 cents                    164.00000 cents
  2:  337.0000  .. 688.0000 cents      351.00000 cents                   -43.00000 cents
  3:  525.0000  .. 880.0000 cents      355.00000 cents                   -163.00000 cents
  4:  835.0000  .. 1190.0000 cents     355.00000 cents                   -45.00000 cents
  5:  1027.0000 .. 1378.0000 cents     351.00000 cents                   -163.00000 cents
  6:  1335.0000 .. 1551.0000 cents     216.00000 cents                   -43.00000 cents
SHOW DATA
Number of notes                     : 7
-- Interval properties --
Smallest interval                   : 164.00000 cents, class 1
Average step (divided formal octave): 245.0000 cents
Largest one step interval           : 380.00000 cents
Average / Smallest step             : 1.493902
Largest / Average step              : 1.551020
Largest / Smallest step             : 2.317073
Median interval of one step         : 192.00000 cents, amount: 1
Least squares average step          : 254.85714 cents, oct.:  1784.00000 cents
Scale is not proper
Scale is a mode of a 1715-tone equal temperament with octave  1715.000 cents
  degrees: 308 688 876 1040 1213 1523 1715
Least number of segments generator  : 858 of 858.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1688 of 1688.000 cents and inv.
  generated superset size: 400 = 393 more = 5714.286%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDEFG
Step pattern size order : EGCABFD
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 13.00000 cents
Scale diversity                     : 0.593022
Lumma stability                     : 0.191254
Lumma impropriety factor            : 0.266472
Rothenberg efficiency               : 0.285714   redundancy: 0.714286
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 42 = 7.00000 / class
Number of one step interval sizes   : 7
Highest interval variety            : 7
Mean interval variety               : 7.00000 = 7
Median interval variety             : 7
Lowest interval variety             : 7
Smallest interval difference        : 2.00000 cents
Number of recognisable fifths       : 1, average 688.0000 cents
Number of appreciable fifths        : 0
Number of recognisable fourths      : 3, average 495.0000 cents
Number of appreciable fourths       : 2, average 501.0000 cents
Formal octave complements present   : 1 = 14.2857%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  7:  1 2 1 0 1 1 1   N   T3   SD: 57.9988 c. M:-104.0000 c. 
  8:  1 2 1 1 1 1 1   P M ME S SD: 50.7147 c. M: 93.6250 c. 
 10:  2 2 1 1 1 2 1   N   D3   SD: 18.0030 c. M:-35.0000 c. 
 17:  3 4 2 1 2 3 2   N        SD: 18.7175 c. M:-31.9412 c. 
 18:  3 4 2 2 2 3 2   N        SD: 16.9025 c. M:-25.6111 c. 
 27:  5 6 3 2 3 5 3   N        SD: 11.8572 c. M: 23.7037 c. 
 28:  5 6 3 3 3 5 3   N        SD: 10.4335 c. M: 18.5000 c. 
 33:  6 7 4 3 3 6 4   N        SD: 10.6227 c. M: 17.6970 c. 
 35:  6 8 4 3 4 6 4   N        SD: 8.5940 c. M: 14.0000 c. 
 45:  8 10 5 4 5 8 5   N        SD: 5.0716 c. M: 11.0000 c. 
 61:  11 13 7 6 6 11 7   N        SD: 5.8119 c. M: 13.2459 c. 
 68:  12 15 8 6 7 12 8   N        SD: 6.0954 c. M: 9.7647 c. 
 69:  12 16 7 7 7 12 8   N        SD: 6.3347 c. M: 9.7391 c. 
 71:  13 15 8 7 7 13 8   N        SD: 5.9082 c. M: 11.6620 c. 
 72:  13 16 8 7 7 13 8   N        SD: 3.9435 c. M:-8.0556 c. 
 74:  13 17 8 7 7 14 8   N        SD: 5.7770 c. M: 7.8649 c. 
 78:  14 17 9 7 8 14 9   N        SD: 4.5524 c. M: 6.6026 c. 
 79:  14 18 8 8 8 14 9   N        SD: 4.5124 c. M: 7.6456 c. 
 82:  15 18 9 8 8 15 9   N        SD: 3.5929 c. M:-5.7317 c. 
 100: 18 22 11 10 10 18 11   N        SD: 3.3162 c. M:-6.1500 c. 
 107: 19 24 12 10 11 19 12   N        SD: 3.2503 c. M:-5.5421 c. 
 110: 20 24 12 11 11 20 12   N        SD: 3.4178 c. M:-4.9091 c. 
 112: 20 25 12 11 11 20 13   N        SD: 3.3116 c. M: 7.0625 c. 
 117: 21 26 13 11 12 21 13   N        SD: 2.0286 c. M:-3.6239 c. 
 127: 23 28 14 12 13 23 14   N        SD: 1.8723 c. M:-2.9449 c. 
 160: 29 35 18 15 16 29 18   N        SD: 1.8840 c. M:-2.9375 c. 
 178: 32 39 20 17 18 32 20   N        SD: 1.5987 c. M: 3.9270 c. 
 205: 37 45 23 19 21 37 23   N        SD: 1.6607 c. M: 2.6341 c. 
 206: 37 46 22 20 21 37 23   N        SD: 1.6591 c. M:-2.9951 c. 
 229: 41 51 25 22 23 41 26   N        SD: 1.2151 c. M: 2.7162 c. 
 239: 43 53 26 23 24 43 27   N        SD: 0.8236 c. M: 1.7448 c. 
 284: 51 63 31 27 29 51 32   N        SD: 0.7804 c. M: 1.3380 c. 
 341: 61 76 37 33 34 62 38   N        SD: 0.9341 c. M: 1.2111 c. 
 356: 64 79 39 34 36 64 40   N        SD: 0.6827 c. M:-0.9888 c. 
 366: 66 81 40 35 37 66 41   N        SD: 0.6291 c. M:-1.2623 c. 
 491: 88 109 54 47 49 89 55   N        SD: 0.6135 c. M: 0.9735 c. 
 501: 90 111 55 48 50 91 56   N        SD: 0.5432 c. M: 1.2036 c. 
 519: 93 115 57 50 52 94 58   N        SD: 0.5391 c. M:-0.8960 c. 
 529: 95 117 58 51 53 96 59   N        SD: 0.5570 c. M:-0.7240 c. 
 536: 96 119 59 51 54 97 60   N        SD: 0.4349 c. M: 0.8358 c. 
 546: 98 121 60 52 55 99 61   N        SD: 0.3261 c. M: 0.5641 c. 
 775: 139 172 85 74 78 140 87   N        SD: 0.3144 c. M: 0.5226 c. 
 785: 141 174 86 75 79 142 88   N        SD: 0.2224 c. M: 0.4841 c. 
 803: 144 178 88 77 81 145 90   N        SD: 0.2615 c. M: 0.4533 c. 
 813: 146 180 89 78 82 147 91   N        SD: 0.2471 c. M: 0.5695 c. 
 902: 162 200 99 86 91 163 101   N        SD: 0.2228 c. M:-0.5133 c. 
 912: 164 202 100 87 92 165 102   N        SD: 0.2302 c. M:-0.3991 c. 
 930: 167 206 102 89 94 168 104   N        SD: 0.1877 c. M:-0.4086 c. 
 1159: 208 257 127 111 117 209 130   N        SD: 0.2345 c. M:-0.3736 c. 
 1169: 210 259 128 112 118 211 131   N        SD: 0.1523 c. M:-0.2635 c. 
 1349: 242 299 148 129 136 244 151   N        SD: 0.1707 c. M: 0.3425 c. 
 1359: 244 301 149 130 137 246 152   N        SD: 0.1788 c. M: 0.2590 c. 
 1431: 257 317 157 137 144 259 160   N        SD: 0.1549 c. M:-0.2655 c. 
 1476: 265 327 162 141 149 267 165   N        SD: 0.1334 c. M:-0.2825 c. 
 1588: 285 352 174 152 160 287 178   N        SD: 0.1497 c. M: 0.2355 c. 
 1598: 287 354 175 153 161 289 179   N        SD: 0.1485 c. M: 0.2653 c. 
 1670: 300 370 183 160 168 302 187   N        SD: 0.1367 c. M:-0.2964 c. 
 1705: 306 378 187 163 172 308 191   N        SD: 0.1056 c. M: 0.2053 c. 
 1715: 308 380 188 164 173 310 192   N        SD: 0.0000 c. M: 0.0000 c. 
FIT/HARMONIC
 1 x x x x 2 x 3  S SD: 93.7032 cents
 2 x 3 x x 4:5 x  S SD: 22.0413 cents
 3 x 4:5 x 6:7:8  S SD: 39.8797 cents
 4:5:6 x 7:8:10:11  S SD: 21.6604 cents
 5:6:7:8:9:10:12:13  S SD: 19.9433 cents
 6:7:9:10:11:12:14:16    SD: 10.7389 cents
 10:12:15:17:18:20:24:27    SD: 7.5825 cents
 12:14:18:20:22:24:29:32    SD: 7.1738 cents
 15:18:22:25:27:30:36:40    SD: 5.9989 cents
 17:20:25:28:31:34:41:46    SD: 5.5505 cents
 20:24:30:33:36:40:48:54  S SD: 4.6962 cents
 21:25:31:35:38:42:51:57    SD: 4.5208 cents
 26:31:39:43:47:52:63:70    SD: 3.8109 cents
 27:32:40:45:49:54:65:73    SD: 3.5214 cents
 29:35:43:48:53:58:70:78    SD: 3.3614 cents
 35:42:52:58:64:71:84:94    SD: 2.4762 cents
 41:49:61:68:75:83:99:110    SD: 1.7261 cents
 47:56:70:78:86:95:113:127    SD: 1.7105 cents
 51:61:76:85:93:103:123:137    SD: 1.5330 cents
 56:67:83:93:102:113:135:151    SD: 1.2071 cents
 61:73:91:101:111:123:147:164    SD: 1.1045 cents
 68:81:101:113:124:137:164:183    SD: 1.0020 cents
 82:98:122:136:150:165:198:221    SD: 1.0003 cents
 88:105:131:146:160:177:212:237    SD: 0.9226 cents
 102:122:152:169:186:206:246:275    SD: 0.8406 cents
 108:129:161:179:197:218:260:291    SD: 0.7345 cents
 117:140:174:194:213:236:282:315    SD: 0.6282 cents
 123:147:183:204:224:248:296:331    SD: 0.5496 cents
 129:154:192:214:235:260:311:347    SD: 0.4249 cents
 170:203:253:282:310:343:410:458    SD: 0.3939 cents
 199:238:296:330:363:401:480:536    SD: 0.3538 cents
 205:245:305:340:374:413:494:552    SD: 0.1734 cents
 334:399:497:554:609:673:805:899    SD: 0.1229 cents
 463:553:689:768:844:933:1116:1247    SD: 0.1132 cents
 539:644:802:894:983:1086:1299:1451    SD: 0.0998 cents