Scala analysis: Solomon_Islands_Panpipes_38

38 (Panpipes), Solomon Islands

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        382.000 cents     382.000000
  2:        685.000 cents     685.000000
  3:        907.000 cents     907.000000
  4:       1067.000 cents    1067.000000
  5:       1211.000 cents    1211.000000
  6:       1390.000 cents    1390.000000
  7:       1589.000 cents    1589.000000
SHOW/INTERVAL
  0:        199.0000 cents    199.0000
  1:        382.0000 cents    382.0000
  2:        303.0000 cents    303.0000
  3:        222.0000 cents    222.0000
  4:        160.0000 cents    160.0000
  5:        144.0000 cents    144.0000
  6:        179.0000 cents    179.0000
  7:        199.0000 cents    199.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 144.00000 cents
  1:   1 160.00000 cents
  1:   1 179.00000 cents
  1:   1 199.00000 cents
  1:   1 222.00000 cents
  1:   1 303.00000 cents
  1:   1 382.00000 cents
  2:   1 304.00000 cents
  2:   1 323.00000 cents
  2:   1 378.00000 cents
  2:   1 382.00000 cents
  2:   1 525.00000 cents
  2:   1 581.00000 cents
  2:   1 685.00000 cents
  3:   1 483.00000 cents
  3:   1 522.00000 cents
  3:   1 526.00000 cents
  3:   1 685.00000 cents
  3:   1 760.00000 cents
  3:   1 884.00000 cents
  3:   1 907.00000 cents
  4:   1 682.00000 cents
  4:   1 705.00000 cents
  4:   1 829.00000 cents
  4:   1 904.00000 cents
  4:   1 1063.00000 cents
  4:   1 1067.00000 cents
  4:   1 1106.00000 cents
  5:   1 904.00000 cents
  5:   1 1008.00000 cents
  5:   1 1064.00000 cents
  5:   1 1207.00000 cents
  5:   1 1211.00000 cents
  5:   1 1266.00000 cents
  5:   1 1285.00000 cents
  6:   1 1207.00000 cents
  6:   1 1286.00000 cents
  6:   1 1367.00000 cents
  6:   1 1390.00000 cents
  6:   1 1410.00000 cents
  6:   1 1429.00000 cents
  6:   1 1445.00000 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   : 382.0 685.0 907.0 1067.0 1211.0 1390.0 1589.0
 382.0 : 303.0 525.0 685.0 829.0  1008.0 1207.0 1589.0
 685.0 : 222.0 382.0 526.0 705.0  904.0  1286.0 1589.0
 907.0 : 160.0 304.0 483.0 682.0  1064.0 1367.0 1589.0
 1067.0: 144.0 323.0 522.0 904.0  1207.0 1429.0 1589.0
 1211.0: 179.0 378.0 760.0 1063.0 1285.0 1445.0 1589.0
 1390.0: 199.0 581.0 884.0 1106.0 1266.0 1410.0 1589.0
 1589.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  144.0000  .. 382.0000 cents      238.00000 cents                    144.00000 cents
  2:  304.0000  .. 685.0000 cents      381.00000 cents                   -78.00000 cents
  3:  483.0000  .. 907.0000 cents      424.00000 cents                   -202.00000 cents
  4:  682.0000  .. 1106.0000 cents     424.00000 cents                   -225.00000 cents
  5:  904.0000  .. 1285.0000 cents     381.00000 cents                   -202.00000 cents
  6:  1207.0000 .. 1445.0000 cents     238.00000 cents                   -78.00000 cents
SHOW DATA
Number of notes                     : 7
-- Interval properties --
Smallest interval                   : 144.00000 cents, class 1
Average step (divided formal octave): 227.0000 cents
Largest one step interval           : 382.00000 cents
Average / Smallest step             : 1.576389
Largest / Average step              : 1.682819
Largest / Smallest step             : 2.652778
Median interval of one step         : 199.00000 cents, amount: 1
Least squares average step          : 244.70714 cents, oct.:  1712.95000 cents
Scale is not proper
Scale is a mode of a 1589-tone equal temperament with octave  1589.000 cents
  degrees: 382 685 907 1067 1211 1390 1589
Least number of segments generator  : 795 of 795.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1515 of 1515.000 cents and inv.
  generated superset size: 319 = 312 more = 4557.143%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDEFG
Step pattern size order : GFEBACD
Scale is not a Constant Structure
Scale diversity                     : 0.792906
Lumma stability                     : 0.181246
Lumma impropriety factor            : 0.490245
Rothenberg efficiency               : 0.312925   redundancy: 0.687075
Efficiency x scale size             : 2.190476
Number of different interval sizes  : 38 = 6.33333 / 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        : 1.00000 cents
Number of recognisable fifths       : 1, average 705.0000 cents
Number of recognisable fourths      : 1, average 483.0000 cents
Number of appreciable fourths       : 0
Formal octave complements present   : 1 = 14.2857%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  7:  2 1 1 1 0 1 1   N   T3   SD: 48.3809 c. M: 76.0000 c. 
  9:  2 2 1 1 1 1 1   N   D3 S SD: 20.8863 c. M: 28.8889 c. 
 16:  4 3 2 2 1 2 2   N        SD: 14.7746 c. M:-25.4375 c. 
 21:  5 4 3 2 2 2 3   N        SD: 11.1697 c. M: 28.0000 c. 
 24:  6 4 4 2 2 3 3   N        SD: 15.0423 c. M: 22.9167 c. 
 25:  6 5 3 3 2 3 3   N        SD: 10.4107 c. M: 17.1600 c. 
 30:  7 6 4 3 3 3 4   N        SD: 8.0948 c. M: 12.8667 c. 
 33:  8 6 5 3 3 4 4   N        SD: 6.9940 c. M: 10.8788 c. 
 42:  10 8 6 4 4 5 5   N        SD: 5.1551 c. M:-9.8333 c. 
 46:  11 9 6 5 4 5 6   N        SD: 5.4007 c. M: 8.8696 c. 
 54:  13 10 8 5 5 6 7   N        SD: 5.6413 c. M: 8.2037 c. 
 58:  14 11 8 6 5 7 7   N        SD: 3.7045 c. M:-7.2241 c. 
 63:  15 12 9 6 6 7 8   N        SD: 3.7235 c. M: 7.6667 c. 
 79:  19 15 11 8 7 9 10   N        SD: 1.9875 c. M: 4.1646 c. 
 88:  21 17 12 9 8 10 11   N        SD: 2.0976 c. M: 4.1591 c. 
 121: 29 23 17 12 11 14 15   N        SD: 2.0549 c. M: 3.2893 c. 
 142: 34 27 20 14 13 16 18   N        SD: 2.2654 c. M: 3.9366 c. 
 146: 35 28 20 15 13 17 18   N        SD: 2.1822 c. M: 3.6644 c. 
 165: 40 31 23 17 15 18 21   N        SD: 2.2400 c. M: 3.2364 c. 
 167: 40 32 23 17 15 19 21   N        SD: 1.7159 c. M: 3.0778 c. 
 186: 45 35 26 19 17 21 23   N        SD: 1.7709 c. M:-2.5108 c. 
 198: 48 37 28 20 18 22 25   N        SD: 1.7701 c. M:-3.2121 c. 
 207: 50 39 29 21 19 23 26   N        SD: 1.2977 c. M:-1.8599 c. 
 249: 60 47 35 25 23 28 31   N        SD: 1.2794 c. M: 2.1767 c. 
 257: 62 49 36 26 23 29 32   N        SD: 1.5127 c. M:-2.6381 c. 
 258: 62 49 36 26 24 29 32   N        SD: 1.5033 c. M:-2.3062 c. 
 262: 63 50 37 26 24 29 33   N        SD: 1.3614 c. M:-2.7328 c. 
 265: 64 50 37 27 24 30 33   N        SD: 1.1358 c. M:-1.7585 c. 
 286: 69 54 40 29 26 32 36   N        SD: 1.0359 c. M: 1.6189 c. 
 287: 69 55 40 29 26 32 36   N        SD: 1.0814 c. M:-1.5610 c. 
 295: 71 56 41 30 27 33 37   N        SD: 0.9698 c. M: 2.0780 c. 
 320: 77 61 45 32 29 36 40   N        SD: 0.7559 c. M:-1.7094 c. 
 329: 79 63 46 33 30 37 41   N        SD: 0.8126 c. M:-1.2766 c. 
 350: 84 67 49 35 32 39 44   N        SD: 0.7252 c. M:-1.1800 c. 
 366: 88 70 51 37 33 41 46   N        SD: 0.6202 c. M:-1.0164 c. 
 399: 96 76 56 40 36 45 50   N        SD: 0.4335 c. M:-1.0000 c. 
 408: 98 78 57 41 37 46 51   N        SD: 0.3193 c. M:-0.4510 c. 
 487: 117 93 68 49 44 55 61   N        SD: 0.2227 c. M: 0.4887 c. 
 694: 167 132 97 70 63 78 87   N        SD: 0.2610 c. M: 0.4020 c. 
 886: 213 169 124 89 80 100 111   N        SD: 0.2505 c. M:-0.4876 c. 
 895: 215 171 125 90 81 101 112   N        SD: 0.2024 c. M:-0.3117 c. 
 1023: 246 195 143 103 93 115 128   N        SD: 0.2310 c. M:-0.5543 c. 
 1093: 263 208 153 110 99 123 137   N        SD: 0.1910 c. M:-0.3486 c. 
 1102: 265 210 154 111 100 124 138   N        SD: 0.0984 c. M:-0.2160 c. 
 1181: 284 225 165 119 107 133 148   N        SD: 0.1103 c. M: 0.1558 c. 
 1510: 363 288 211 152 137 170 189   N        SD: 0.1040 c. M:-0.2179 c. 
 1589: 382 303 222 160 144 179 199   N        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x x 2 x 3  S SD: 156.5741 cents
 2 x 3 x x 4 x 5  S SD: 6.7961 cents
 3:4 x 5 x 6:7:8  S SD: 35.7212 cents
 4:5:6:7 x 8:9:10  S SD: 11.1183 cents
 8:10:12:14:15:16:18:20  S SD: 10.0026 cents
 12:15:18:20:22:24:27:30  S SD: 5.4426 cents
 16:20:24:27:30:32:36:40  S SD: 4.6979 cents
 20:25:30:34:37:40:45:50    SD: 3.9569 cents
 25:31:37:42:46:50:56:63    SD: 3.5613 cents
 29:36:43:49:54:58:65:73    SD: 2.9074 cents
 33:41:49:56:61:66:74:83    SD: 2.7486 cents
 41:51:61:69:76:83:92:103    SD: 2.3854 cents
 45:56:67:76:83:91:100:113    SD: 2.1595 cents
 48:60:71:81:89:97:107:120    SD: 1.6690 cents
 52:65:77:88:96:105:116:130    SD: 1.6421 cents
 60:75:89:101:111:121:134:150    SD: 1.2548 cents
 68:85:101:115:126:137:152:170    SD: 0.9340 cents
 74:92:110:125:137:149:165:185    SD: 0.8916 cents
 81:101:120:137:150:163:181:203    SD: 0.8490 cents
 89:111:132:150:165:179:199:223    SD: 0.8245 cents
 93:116:138:157:172:187:208:233    SD: 0.7324 cents
 109:136:162:184:202:219:243:273    SD: 0.5983 cents
 134:167:199:226:248:270:299:336    SD: 0.5845 cents
 138:172:205:233:256:278:308:346    SD: 0.5698 cents
 142:177:211:240:263:286:317:356    SD: 0.4373 cents
 163:203:242:275:302:328:364:408    SD: 0.4276 cents
 167:208:248:282:309:336:373:418    SD: 0.4272 cents
 190:237:282:321:352:382:424:476    SD: 0.4043 cents
 202:252:300:341:374:407:451:506    SD: 0.3360 cents
 231:288:343:390:428:465:516:578    SD: 0.2959 cents
 251:313:373:424:465:505:560:628    SD: 0.2844 cents
 264:329:392:446:489:531:589:661    SD: 0.2819 cents
 276:344:410:466:511:556:616:691    SD: 0.2570 cents
 292:364:434:493:541:588:652:731    SD: 0.2471 cents
 311:388:462:525:576:626:694:779    SD: 0.1923 cents
 324:404:481:547:600:652:723:811    SD: 0.1838 cents
 385:480:572:650:713:775:859:964    SD: 0.1239 cents
 453:565:673:765:839:912:1011:1134    SD: 0.1212 cents
 466:581:692:787:863:938:1040:1167    SD: 0.0961 cents