Scala analysis: Solomon_Islands_Panpipes_35

35 (Panpipes), Solomon Islands

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        161.000 cents     161.000000
  2:        313.000 cents     313.000000
  3:        423.000 cents     423.000000
  4:        662.000 cents     662.000000
  5:        825.000 cents     825.000000
  6:        996.000 cents     996.000000
  7:       1185.000 cents    1185.000000
  8:       1382.000 cents    1382.000000
  9:       1495.000 cents    1495.000000
 10:       1648.000 cents    1648.000000
SHOW/INTERVAL
  0:        153.0000 cents    153.0000
  1:        161.0000 cents    161.0000
  2:        152.0000 cents    152.0000
  3:        110.0000 cents    110.0000
  4:        239.0000 cents    239.0000
  5:        163.0000 cents    163.0000
  6:        171.0000 cents    171.0000
  7:        189.0000 cents    189.0000
  8:        197.0000 cents    197.0000
  9:        113.0000 cents    113.0000
 10:        153.0000 cents    153.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 110.00000 cents
  1:   1 113.00000 cents
  1:   1 152.00000 cents
  1:   1 153.00000 cents
  1:   1 161.00000 cents
  1:   1 163.00000 cents
  1:   1 171.00000 cents
  1:   1 189.00000 cents
  1:   1 197.00000 cents
  1:   1 239.00000 cents
  2:   1 262.00000 cents
  2:   1 266.00000 cents
  2:   1 310.00000 cents
  2:   1 313.00000 cents
  2:   1 314.00000 cents
  2:   1 334.00000 cents
  2:   1 349.00000 cents
  2:   1 360.00000 cents
  2:   1 386.00000 cents
  2:   1 402.00000 cents
  3:   1 423.00000 cents
  3:   1 427.00000 cents
  3:   1 463.00000 cents
  3:   1 466.00000 cents
  3:   1 499.00000 cents
  3:   1 501.00000 cents
  3:   1 512.00000 cents
  3:   1 523.00000 cents
  3:   1 557.00000 cents
  3:   1 573.00000 cents
  4:   1 576.00000 cents
  4:   1 579.00000 cents
  4:   1 624.00000 cents
  4:   1 652.00000 cents
  4:   1 662.00000 cents
  4:   1 664.00000 cents
  4:   1 670.00000 cents
  4:   1 683.00000 cents
  4:   1 720.00000 cents
  4:   1 762.00000 cents
  5:   1 689.00000 cents
  5:   1 776.00000 cents
  5:   1 813.00000 cents
  5:   1 815.00000 cents
  5:   1 823.00000 cents
  5:   1 825.00000 cents
  5:   1 833.00000 cents
  5:   1 835.00000 cents
  5:   1 872.00000 cents
  5:   1 959.00000 cents
  6:   1 886.00000 cents
  6:   1 928.00000 cents
  6:   1 965.00000 cents
  6:   1 978.00000 cents
  6:   1 984.00000 cents
  6:   1 986.00000 cents
  6:   1 996.00000 cents
  6:   1 1024.00000 cents
  6:   1 1069.00000 cents
  6:   1 1072.00000 cents
  7:   1 1075.00000 cents
  7:   1 1091.00000 cents
  7:   1 1125.00000 cents
  7:   1 1136.00000 cents
  7:   1 1147.00000 cents
  7:   1 1149.00000 cents
  7:   1 1182.00000 cents
  7:   1 1185.00000 cents
  7:   1 1221.00000 cents
  7:   1 1225.00000 cents
  8:   1 1246.00000 cents
  8:   1 1262.00000 cents
  8:   1 1288.00000 cents
  8:   1 1299.00000 cents
  8:   1 1314.00000 cents
  8:   1 1334.00000 cents
  8:   1 1335.00000 cents
  8:   1 1338.00000 cents
  8:   1 1382.00000 cents
  8:   1 1386.00000 cents
  9:   1 1409.00000 cents
  9:   1 1451.00000 cents
  9:   1 1459.00000 cents
  9:   1 1477.00000 cents
  9:   1 1485.00000 cents
  9:   1 1487.00000 cents
  9:   1 1495.00000 cents
  9:   1 1496.00000 cents
  9:   1 1535.00000 cents
  9:   1 1538.00000 cents
Highest number of different intervals for one interval class: 10
Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6      7      8      9      10    
 0.0   : 161.0 313.0 423.0 662.0 825.0 996.0  1185.0 1382.0 1495.0 1648.0
 161.0 : 152.0 262.0 501.0 664.0 835.0 1024.0 1221.0 1334.0 1487.0 1648.0
 313.0 : 110.0 349.0 512.0 683.0 872.0 1069.0 1182.0 1335.0 1496.0 1648.0
 423.0 : 239.0 402.0 573.0 762.0 959.0 1072.0 1225.0 1386.0 1538.0 1648.0
 662.0 : 163.0 334.0 523.0 720.0 833.0 986.0  1147.0 1299.0 1409.0 1648.0
 825.0 : 171.0 360.0 557.0 670.0 823.0 984.0  1136.0 1246.0 1485.0 1648.0
 996.0 : 189.0 386.0 499.0 652.0 813.0 965.0  1075.0 1314.0 1477.0 1648.0
 1185.0: 197.0 310.0 463.0 624.0 776.0 886.0  1125.0 1288.0 1459.0 1648.0
 1382.0: 113.0 266.0 427.0 579.0 689.0 928.0  1091.0 1262.0 1451.0 1648.0
 1495.0: 153.0 314.0 466.0 576.0 815.0 978.0  1149.0 1338.0 1535.0 1648.0
 1648.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  110.0000  .. 239.0000 cents      129.00000 cents                    110.00000 cents
  2:  262.0000  .. 402.0000 cents      140.00000 cents                    23.00000 cents
  3:  423.0000  .. 573.0000 cents      150.00000 cents                    21.00000 cents
  4:  576.0000  .. 762.0000 cents      186.00000 cents                    3.00000 cents
  5:  689.0000  .. 959.0000 cents      270.00000 cents                   -73.00000 cents
  6:  886.0000  .. 1072.0000 cents     186.00000 cents                   -73.00000 cents
  7:  1075.0000 .. 1225.0000 cents     150.00000 cents                    3.00000 cents
  8:  1246.0000 .. 1386.0000 cents     140.00000 cents                    21.00000 cents
  9:  1409.0000 .. 1538.0000 cents     129.00000 cents                    23.00000 cents
SHOW DATA
Number of notes                     : 10
-- Interval properties --
Smallest interval                   : 110.00000 cents, class 1
Average step (divided formal octave): 164.8000 cents
Largest one step interval           : 239.00000 cents
Average / Smallest step             : 1.498182
Largest / Average step              : 1.450243
Largest / Smallest step             : 2.172727
Median interval of one step         : 162.00000 cents, amount: 0
Least squares average step          : 166.47013 cents, oct.:  1664.70130 cents
Scale is not proper
Scale is a mode of a 1648-tone equal temperament with octave  1648.000 cents
  degrees: 161 313 423 662 825 996 1185 1382 1495 1648
Least number of segments generator  : 825 of 825.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1111 of 1111.000 cents and inv.
  generated superset size: 736 = 726 more = 7360.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDEFGHIJ
Step pattern size order : ECAJFGHIBD
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 3.00000 cents
Scale diversity                     : 0.671880
Lumma stability                     : 0.190534
Lumma impropriety factor            : 0.088592
Rothenberg efficiency               : 0.200000   redundancy: 0.800000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 90 = 10.00000 / class
Number of one step interval sizes   : 10
Highest interval variety            : 10
Mean interval variety               : 10.00000 = 10
Median interval variety             : 10
Lowest interval variety             : 10
Smallest interval difference        : 1.00000 cents
Number of recognisable fifths       : 2, average 704.5000 cents
Number of appreciable fifths        : 1, average 689.0000 cents
Number of recognisable fourths      : 3, average 504.0000 cents
Number of appreciable fourths       : 2, average 500.0000 cents
Formal octave complements present   : 1 = 10.0000%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
 10:  1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 32.5865 c. M:-71.4000 c. 
 12:  1 1 1 2 1 1 2 1 1 1   N   D3 I SD: 26.2361 c. M:-51.0000 c. 
 18:  2 1 2 2 2 2 2 2 1 2   P   D3 I SD: 21.7877 c. M: 38.3333 c. 
 20:  2 2 1 3 2 2 2 3 1 2   N   T3   SD: 13.9654 c. M: 31.4000 c. 
 28:  3 2 2 4 3 3 3 3 2 3   N        SD: 15.3797 c. M: 28.2857 c. 
 30:  3 3 2 4 3 3 4 3 2 3   N        SD: 11.7898 c. M:-23.5333 c. 
 32:  3 3 2 5 3 3 4 4 2 3   N        SD: 7.8581 c. M: 17.5000 c. 
 42:  4 4 3 6 4 4 5 5 3 4   N        SD: 7.0489 c. M: 15.0476 c. 
 54:  5 5 4 8 5 6 6 6 4 5   N        SD: 6.8220 c. M:-11.1111 c. 
 58:  6 5 4 8 6 6 7 7 4 5   N        SD: 6.8627 c. M:-10.9310 c. 
 60:  6 5 4 9 6 6 7 7 4 6   N        SD: 7.3758 c. M: 11.8000 c. 
 62:  6 6 4 9 6 6 8 7 4 6   N        SD: 6.1080 c. M: 12.5161 c. 
 63:  6 6 4 9 6 7 7 8 4 6   N        SD: 6.3288 c. M: 14.0794 c. 
 64:  6 6 4 10 6 7 7 8 4 6   N        SD: 6.1588 c. M: 11.0000 c. 
 68:  7 6 4 10 7 7 8 8 5 6   N        SD: 5.7389 c. M: 11.0000 c. 
 74:  7 7 5 11 7 8 8 9 5 7   N        SD: 3.6830 c. M:-6.1622 c. 
 94:  9 9 6 14 9 10 11 11 6 9   N        SD: 3.6764 c. M:-7.1702 c. 
 100: 10 9 7 14 10 10 12 12 7 9   N        SD: 3.6726 c. M: 7.2000 c. 
 104: 10 10 7 15 10 11 12 12 7 10   N        SD: 3.4268 c. M: 5.4615 c. 
 110: 11 10 7 16 11 11 13 13 8 10   N        SD: 3.4019 c. M: 7.2000 c. 
 122: 12 11 8 18 12 13 14 14 9 11   N        SD: 2.9871 c. M:-4.4098 c. 
 132: 13 12 9 19 13 14 15 16 9 12   N        SD: 1.9841 c. M:-3.8182 c. 
 164: 16 15 11 24 16 17 19 20 11 15   N        SD: 1.8743 c. M:-4.7317 c. 
 172: 17 16 11 25 17 18 20 20 12 16   N        SD: 1.8045 c. M:-3.1860 c. 
 174: 17 16 12 25 17 18 20 21 12 16   N        SD: 1.3688 c. M:-3.2069 c. 
 184: 18 17 12 27 18 19 21 22 13 17   N        SD: 1.5721 c. M: 2.7391 c. 
 217: 21 20 15 31 22 22 25 26 15 20   N        SD: 1.4920 c. M:-2.7972 c. 
 234: 23 21 16 34 23 24 27 28 16 22   N        SD: 1.7450 c. M: 3.1197 c. 
 235: 23 22 15 34 24 24 27 28 16 22   N        SD: 1.6662 c. M: 2.8000 c. 
 236: 23 22 16 34 23 25 27 28 16 22   N        SD: 1.5920 c. M:-2.9661 c. 
 237: 23 22 16 34 24 24 27 29 16 22   N        SD: 1.5741 c. M: 2.8903 c. 
 238: 23 22 16 35 23 25 27 29 16 22   N        SD: 1.5709 c. M:-2.8739 c. 
 242: 24 22 16 35 24 25 28 29 17 22   N        SD: 1.5187 c. M:-3.1818 c. 
 246: 24 23 16 36 24 26 28 29 17 23   N        SD: 1.3140 c. M:-2.1789 c. 
 268: 26 25 18 39 26 28 31 32 18 25   N        SD: 1.2303 c. M:-2.1194 c. 
 273: 27 25 18 40 27 28 31 33 19 25   N        SD: 1.4480 c. M:-2.0842 c. 
 278: 27 26 18 41 27 29 32 33 19 26   N        SD: 1.1727 c. M: 2.1079 c. 
 289: 28 27 19 42 29 30 33 34 20 27   N        SD: 1.2970 c. M: 2.0138 c. 
 296: 29 27 20 43 29 31 34 35 21 27   N        SD: 1.1338 c. M:-2.6757 c. 
 299: 29 28 20 43 30 31 34 36 20 28   N        SD: 1.2067 c. M:-1.7559 c. 
 309: 30 29 20 45 31 32 35 37 21 29   N        SD: 1.2561 c. M: 1.6667 c. 
 311: 30 29 21 45 31 32 36 37 21 29   N        SD: 1.1617 c. M: 2.0289 c. 
 316: 31 29 21 46 31 33 36 38 22 29   N        SD: 0.7953 c. M:-1.7595 c. 
 346: 34 32 23 50 34 36 40 41 24 32   N        SD: 0.8180 c. M:-1.3584 c. 
 359: 35 33 24 52 36 37 41 43 25 33   N        SD: 0.8164 c. M:-1.5125 c. 
 389: 38 36 26 56 39 40 45 46 27 36   N        SD: 0.7656 c. M:-1.2211 c. 
 409: 40 38 27 59 41 42 47 49 28 38   N        SD: 0.6973 c. M:-1.2885 c. 
 410: 40 38 27 60 40 43 47 49 28 38   N        SD: 0.7458 c. M:-1.2195 c. 
 420: 41 39 28 61 41 44 48 50 29 39   N        SD: 0.6916 c. M:-1.1238 c. 
 452: 44 42 30 66 44 47 52 54 31 42   N        SD: 0.6766 c. M:-1.5752 c. 
 453: 44 42 30 66 45 47 52 54 31 42   N        SD: 0.6621 c. M: 0.9956 c. 
 463: 45 43 31 67 46 48 53 55 32 43   N        SD: 0.5530 c. M: 0.9546 c. 
 495: 48 46 33 72 49 51 57 59 34 46   N        SD: 0.5164 c. M: 1.1939 c. 
 531: 52 49 35 77 53 55 61 63 37 49   N        SD: 0.6665 c. M: 0.9379 c. 
 533: 52 49 36 77 53 55 61 64 37 49   N        SD: 0.6591 c. M:-1.4953 c. 
 541: 53 50 36 78 54 56 62 65 37 50   N        SD: 0.6021 c. M:-0.9797 c. 
 583: 57 54 39 84 58 60 67 70 40 54   N        SD: 0.6011 c. M:-1.0137 c. 
 584: 57 54 39 85 57 61 67 70 40 54   N        SD: 0.5892 c. M:-1.1507 c. 
 595: 58 55 40 86 59 62 68 71 41 55   N        SD: 0.5250 c. M:-1.1092 c. 
 612: 60 56 41 89 60 64 70 73 42 57   N        SD: 0.5189 c. M: 1.0000 c. 
 615: 60 57 41 89 61 64 70 74 42 57   N        SD: 0.4712 c. M:-0.8390 c. 
 627: 61 58 42 91 62 65 72 75 43 58   N        SD: 0.3908 c. M: 0.6683 c. 
 779: 76 72 52 113 77 81 89 93 54 72   N        SD: 0.3373 c. M:-0.6816 c. 
 807: 79 74 54 117 80 84 92 97 55 75   N        SD: 0.3931 c. M: 0.5638 c. 
 811: 79 75 54 118 80 84 93 97 56 75   N        SD: 0.3334 c. M:-0.5956 c. 
 829: 81 76 56 120 82 86 95 99 57 77   N        SD: 0.3428 c. M: 0.8938 c. 
 837: 82 77 56 121 83 87 96 100 57 78   N        SD: 0.3230 c. M: 0.5771 c. 
 841: 82 78 56 122 83 87 97 100 58 78   N        SD: 0.3772 c. M:-0.5410 c. 
 849: 83 78 57 123 84 88 97 102 58 79   N        SD: 0.3610 c. M: 0.9246 c. 
 869: 85 80 58 126 86 90 100 104 59 81   N        SD: 0.3024 c. M: 0.6110 c. 
 973: 95 90 65 141 96 101 112 116 67 90   N        SD: 0.3323 c. M:-0.6115 c. 
 993: 97 92 66 144 98 103 114 119 68 92   N        SD: 0.3028 c. M:-0.6677 c. 
 1001: 98 92 67 145 99 104 115 119 69 93   N        SD: 0.2973 c. M: 0.7093 c. 
 1021: 100 94 68 148 101 106 117 122 70 95   N        SD: 0.2400 c. M:-0.4104 c. 
 1153: 113 106 77 167 114 120 132 138 79 107   N        SD: 0.2217 c. M:-0.5126 c. 
 1185: 116 109 79 172 117 123 136 142 81 110   N        SD: 0.2161 c. M:-0.3730 c. 
 1302: 127 120 87 189 129 135 149 156 89 121   N        SD: 0.2174 c. M: 0.3610 c. 
 1332: 130 123 89 193 132 138 153 159 91 124   N        SD: 0.1887 c. M: 0.4174 c. 
 1464: 143 135 98 212 145 152 168 175 100 136   N        SD: 0.1976 c. M:-0.3443 c. 
 1474: 144 136 98 214 146 153 169 176 101 137   N        SD: 0.1616 c. M: 0.3786 c. 
 1516: 148 140 101 220 150 157 174 181 104 141   N        SD: 0.1728 c. M: 0.3325 c. 
 1574: 154 145 105 228 156 163 181 188 108 146   N        SD: 0.1732 c. M: 0.2897 c. 
 1616: 158 149 108 234 160 168 185 193 111 150   N        SD: 0.1556 c. M:-0.3465 c. 
 1648: 161 152 110 239 163 171 189 197 113 153   N        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x x x x 2 x x 3  S SD: 127.1988 cents
 2 x x x 3 x x 4 x x 5  S SD: 25.0036 cents
 3 x x 4 x 5 x 6 x 7:8  S SD: 22.5175 cents
 4 x x 5:6 x 7:8:9 x 10  S SD: 15.0840 cents
 5 x 6 x 7:8:9:10:11:12:13  S SD: 11.1090 cents
 6 x 7:8:9:10:11:12:13:14:16  S SD: 16.1527 cents
 7:8 x 9:10:11:12:14:16:17:18  S SD: 14.6199 cents
 8:9 x 10:12:13:14:16:18:19:21    SD: 9.2919 cents
 10:11:12:13:15:16:18:20:22:24:26    SD: 6.4550 cents
 17:19:20:22:25:27:30:34:38:40:44    SD: 6.1981 cents
 18:20:22:23:26:29:32:36:40:43:47    SD: 5.3456 cents
 19:21:23:24:28:31:34:38:42:45:49    SD: 4.3630 cents
 21:23:25:27:31:34:37:42:47:50:54    SD: 3.6824 cents
 30:33:36:38:44:48:53:59:67:71:78    SD: 2.8089 cents
 32:35:38:41:47:52:57:63:71:76:83    SD: 2.7251 cents
 36:40:43:46:53:58:64:71:80:85:93    SD: 2.6736 cents
 39:43:47:50:57:63:69:77:87:92:101    SD: 2.2928 cents
 40:44:48:51:59:64:71:79:89:95:104    SD: 1.9467 cents
 41:45:49:52:60:66:73:81:91:97:106    SD: 1.5502 cents
 51:56:61:65:75:82:91:101:113:121:132    SD: 1.1432 cents
 62:68:74:79:91:100:110:123:138:147:161    SD: 1.0475 cents
 80:88:96:102:117:129:142:159:178:190:207    SD: 0.9484 cents
 90:99:108:115:132:145:160:178:200:213:233    SD: 0.7724 cents
 105:115:126:134:154:169:187:208:233:249:272    SD: 0.6241 cents
 112:123:134:143:164:180:199:222:249:266:290    SD: 0.5785 cents
 126:138:151:161:185:203:224:250:280:299:326    SD: 0.5580 cents
 131:144:157:167:192:211:233:260:291:311:339    SD: 0.5116 cents
 152:167:182:194:223:245:270:301:338:360:394    SD: 0.5003 cents
 162:178:194:207:237:261:288:321:360:384:420    SD: 0.4717 cents
 166:182:199:212:243:267:295:329:369:394:430    SD: 0.4205 cents
 167:183:200:213:245:269:297:331:371:396:433    SD: 0.4012 cents
 185:203:222:236:271:298:329:367:411:439:479    SD: 0.3726 cents
 206:226:247:263:302:332:366:408:458:489:534    SD: 0.3646 cents
 213:234:255:272:312:343:379:422:473:505:552    SD: 0.3511 cents
 217:238:260:277:318:349:386:430:482:515:562    SD: 0.3364 cents
 234:257:280:299:343:377:416:464:520:555:606    SD: 0.3151 cents
 238:261:285:304:349:383:423:472:529:564:617    SD: 0.3084 cents
 247:271:296:315:362:398:439:490:549:586:640    SD: 0.2686 cents
 288:316:345:368:422:464:512:571:640:683:746    SD: 0.1784 cents
 339:372:406:433:497:546:603:672:753:804:878    SD: 0.1693 cents
 369:405:442:471:541:594:656:732:820:875:956    SD: 0.1500 cents
 419:460:502:535:614:675:745:831:931:994:1085    SD: 0.1488 cents
 423:464:507:540:620:681:752:839:940:1003:1096    SD: 0.1472 cents
 459:504:550:586:673:739:816:910:1020:1089:1189    SD: 0.1470 cents
 513:563:615:655:752:826:912:1017:1140:1217:1329    SD: 0.1272 cents
 535:587:641:683:784:862:951:1061:1189:1269:1386    SD: 0.1248 cents
 575:631:689:734:843:926:1022:1140:1277:1364:1490    SD: 0.1084 cents
 586:643:702:748:859:944:1042:1162:1302:1390:1518    SD: 0.0996 cents