Scala analysis: Indonesia_Kancilbelik

Kancilbelik (Saron Demung or Gender Barung), Indonesia

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        125.000 cents     125.000000
  2:        256.000 cents     256.000000
  3:        523.000 cents     523.000000
  4:        669.000 cents     669.000000
  5:        788.000 cents     788.000000
  6:        938.000 cents     938.000000
  7:       1209.000 cents    1209.000000
SHOW/INTERVAL
  0:        271.0000 cents    271.0000
  1:        125.0000 cents    125.0000
  2:        131.0000 cents    131.0000
  3:        267.0000 cents    267.0000
  4:        146.0000 cents    146.0000
  5:        119.0000 cents    119.0000
  6:        150.0000 cents    150.0000
  7:        271.0000 cents    271.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 119.00000 cents
  1:   1 125.00000 cents
  1:   1 131.00000 cents
  1:   1 146.00000 cents
  1:   1 150.00000 cents
  1:   1 267.00000 cents
  1:   1 271.00000 cents
  2:   1 256.00000 cents
  2:   1 265.00000 cents
  2:   1 269.00000 cents
  2:   1 396.00000 cents
  2:   1 398.00000 cents
  2:   1 413.00000 cents
  2:   1 421.00000 cents
  3:   1 415.00000 cents
  3:   1 523.00000 cents
  3:   1 527.00000 cents
  3:   1 532.00000 cents
  3:   1 540.00000 cents
  3:   1 544.00000 cents
  3:   1 546.00000 cents
  4:   1 663.00000 cents
  4:   1 665.00000 cents
  4:   1 669.00000 cents
  4:   1 677.00000 cents
  4:   1 682.00000 cents
  4:   1 686.00000 cents
  4:   1 794.00000 cents
  5:   1 788.00000 cents
  5:   1 796.00000 cents
  5:   1 811.00000 cents
  5:   1 813.00000 cents
  5:   1 940.00000 cents
  5:   1 944.00000 cents
  5:   1 953.00000 cents
  6:   1 938.00000 cents
  6:   1 942.00000 cents
  6:   1 1059.00000 cents
  6:   1 1063.00000 cents
  6:   1 1078.00000 cents
  6:   1 1084.00000 cents
  6:   1 1090.00000 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   : 125.0 256.0 523.0 669.0 788.0 938.0  1209.0
 125.0 : 131.0 398.0 544.0 663.0 813.0 1084.0 1209.0
 256.0 : 267.0 413.0 532.0 682.0 953.0 1078.0 1209.0
 523.0 : 146.0 265.0 415.0 686.0 811.0 942.0  1209.0
 669.0 : 119.0 269.0 540.0 665.0 796.0 1063.0 1209.0
 788.0 : 150.0 421.0 546.0 677.0 944.0 1090.0 1209.0
 938.0 : 271.0 396.0 527.0 794.0 940.0 1059.0 1209.0
 1209.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  119.0000  .. 271.0000 cents      152.00000 cents                    119.00000 cents
  2:  256.0000  .. 421.0000 cents      165.00000 cents                   -15.00000 cents
  3:  415.0000  .. 546.0000 cents      131.00000 cents                   -6.00000 cents
  4:  663.0000  .. 794.0000 cents      131.00000 cents                    117.00000 cents
  5:  788.0000  .. 953.0000 cents      165.00000 cents                   -6.00000 cents
  6:  938.0000  .. 1090.0000 cents     152.00000 cents                   -15.00000 cents
SHOW DATA
Number of notes                     : 7
-- Interval properties --
Smallest interval                   : 119.00000 cents, class 1
Average step (divided formal octave): 172.7143 cents
Largest one step interval           : 271.00000 cents
Average / Smallest step             : 1.451381
Largest / Average step              : 1.569065
Largest / Smallest step             : 2.277311
Median interval of one step         : 146.00000 cents, amount: 1
Least squares average step          : 163.66429 cents, oct.:  1145.65000 cents
Scale is not proper
Scale is a mode of a 1209-tone equal temperament with octave  1209.000 cents
  degrees: 125 256 523 669 788 938 1209
Least number of segments generator  : 605 of 605.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1061 of 1061.000 cents and inv.
  generated superset size: 266 = 259 more = 3800.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDEFG
Step pattern size order : BCFDAEG
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 2.00000 cents
Scale diversity                     : 1.283039
Lumma stability                     : 0.293631
Lumma impropriety factor            : 0.034739
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 686.0000 cents
Number of appreciable fifths        : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Formal octave complements present   : 1 = 14.2857%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 157.0000 cents:
 2
-- Rational properties --
FIT/MODE
  7:  1 0 2 1 0 1 2   N   T3   SD: 59.3908 c. M: 97.1429 c. 
  8:  1 0 2 1 1 1 2   N   D3   SD: 56.9635 c. M: 104.8750 c. 
  9:  1 1 2 1 1 1 2   P M ME S SD: 10.6204 c. M:-18.0000 c.  Pseudo Pelog, Pelogic-7, Antiionian
 23:  2 3 5 3 2 3 5   P   T3   SD: 10.1512 c. M: 19.8696 c.  Superpelog-Pelog
 32:  3 4 7 4 3 4 7   P   T3   SD: 7.9021 c. M: 11.6563 c. 
 37:  4 4 8 4 4 5 8   P        SD: 7.6343 c. M: 15.4865 c. 
 40:  4 4 9 5 4 5 9   N      S SD: 6.8108 c. M: 14.2000 c. 
 41:  4 5 9 5 4 5 9   P   T3   SD: 7.3836 c. M:-9.3902 c. 
 46:  5 5 10 6 4 6 10   P      S SD: 7.2472 c. M:-14.3478 c. 
 47:  5 5 10 6 5 5 11   N        SD: 6.7534 c. M: 11.9574 c. 
 48:  5 5 11 6 4 6 11   N      S SD: 6.1405 c. M:-11.0625 c. 
 49:  5 5 11 6 5 6 11   N      S SD: 4.1851 c. M: 9.2653 c. 
 58:  6 6 13 7 6 7 13   N      S SD: 2.8934 c. M: 5.8621 c. 
 67:  7 7 15 8 7 8 15   N      S SD: 2.6925 c. M:-5.9701 c. 
 71:  7 8 16 8 7 9 16   N        SD: 3.8916 c. M: 5.8028 c. 
 72:  7 8 16 9 7 9 16   N        SD: 3.6391 c. M: 7.4583 c. 
 76:  8 8 17 9 8 9 17   N      S SD: 3.0913 c. M:-7.3947 c. 
 81:  8 9 18 10 8 10 18   N        SD: 2.8967 c. M: 5.5926 c. 
 85:  9 9 19 10 8 11 19   N        SD: 2.7552 c. M: 5.7059 c. 
 88:  9 10 19 11 8 11 20   N        SD: 3.4609 c. M:-5.0341 c. 
 89:  9 10 20 10 9 11 20   N        SD: 3.1585 c. M:-6.7865 c. 
 90:  9 10 20 11 9 11 20   N        SD: 2.7155 c. M:-4.5667 c. 
 94:  10 10 21 11 9 12 21   N        SD: 2.5639 c. M:-4.3298 c. 
 104: 11 11 23 13 10 13 23   N      S SD: 2.8106 c. M:-5.2500 c. 
 106: 11 11 24 13 10 13 24   N      S SD: 2.7441 c. M: 5.0755 c. 
 107: 11 12 23 13 11 13 24   N        SD: 2.3980 c. M:-3.8785 c. 
 115: 12 12 26 14 11 14 26   N      S SD: 2.4603 c. M:-3.8348 c. 
 117: 12 13 26 14 11 15 26   N        SD: 2.4527 c. M:-4.0000 c. 
 118: 12 13 26 14 12 15 26   N        SD: 2.2584 c. M:-4.6102 c. 
 123: 13 13 27 15 12 15 28   N        SD: 2.1728 c. M: 4.2195 c. 
 124: 13 13 28 15 12 15 28   N      S SD: 2.4695 c. M:-3.7500 c. 
 127: 13 14 28 15 13 16 28   N        SD: 2.2095 c. M:-4.4488 c. 
 129: 13 14 29 15 13 16 29   N        SD: 2.2712 c. M: 3.5814 c. 
 132: 14 14 29 16 13 16 30   N        SD: 1.9263 c. M: 3.7727 c. 
 134: 14 14 30 16 13 17 30   N        SD: 1.8678 c. M: 3.3731 c. 
 137: 14 15 30 17 13 17 31   N        SD: 1.8412 c. M: 2.5912 c. 
 143: 15 15 32 17 14 18 32   N        SD: 1.4476 c. M: 2.3636 c. 
 146: 15 16 32 18 14 18 33   N        SD: 1.3505 c. M: 2.2671 c. 
 152: 16 16 34 18 15 19 34   N        SD: 1.3376 c. M:-2.2632 c. 
 155: 16 17 34 19 15 19 35   N        SD: 1.1613 c. M: 2.0000 c. 
 166: 17 18 37 20 16 21 37   N        SD: 1.1928 c. M:-1.5241 c. 
 175: 18 19 39 21 17 22 39   N        SD: 1.1137 c. M:-2.0514 c. 
 184: 19 20 41 22 18 23 41   N        SD: 1.2750 c. M:-2.6522 c. 
 192: 20 21 42 23 19 24 43   N        SD: 1.1287 c. M:-2.1719 c. 
 204: 21 22 45 25 20 25 46   N        SD: 0.9965 c. M: 1.6176 c. 
 213: 22 23 47 26 21 26 48   N        SD: 0.8144 c. M: 1.4507 c. 
 241: 25 26 53 29 24 30 54   N        SD: 0.8617 c. M: 1.7925 c. 
 249: 26 27 55 30 24 31 56   N        SD: 1.1455 c. M: 1.4217 c. 
 250: 26 27 55 30 25 31 56   N        SD: 0.7476 c. M: 1.6320 c. 
 264: 27 29 58 32 26 33 59   N        SD: 0.7373 c. M: 1.3523 c. 
 273: 28 30 60 33 27 34 61   N        SD: 0.6343 c. M: 1.0000 c. 
 298: 31 32 66 36 29 37 67   N        SD: 0.6096 c. M: 0.9329 c. 
 307: 32 33 68 37 30 38 69   N        SD: 0.6018 c. M:-1.0195 c. 
 356: 37 38 79 43 35 44 80   N        SD: 0.6081 c. M: 1.2949 c. 
 365: 38 39 81 44 36 45 82   N        SD: 0.5698 c. M: 0.9507 c. 
 379: 39 41 84 46 37 47 85   N        SD: 0.5133 c. M:-0.8945 c. 
 388: 40 42 86 47 38 48 87   N        SD: 0.4789 c. M:-0.9356 c. 
 396: 41 43 87 48 39 49 89   N        SD: 0.5174 c. M: 0.9318 c. 
 405: 42 44 89 49 40 50 91   N        SD: 0.4713 c. M:-0.7259 c. 
 416: 43 45 92 50 41 52 93   N        SD: 0.3923 c. M:-0.7188 c. 
 425: 44 46 94 51 42 53 95   N        SD: 0.3819 c. M:-0.7529 c. 
 483: 50 52 107 58 48 60 108   N        SD: 0.4831 c. M: 0.6832 c. 
 486: 50 53 107 59 48 60 109   N        SD: 0.4113 c. M: 0.6173 c. 
 548: 57 59 121 66 54 68 123   N        SD: 0.4039 c. M:-0.7536 c. 
 553: 57 60 122 67 54 69 124   N        SD: 0.4362 c. M: 0.9476 c. 
 557: 58 60 123 67 55 69 125   N        SD: 0.4057 c. M:-0.8923 c. 
 562: 58 61 124 68 55 70 126   N        SD: 0.2758 c. M: 0.6441 c. 
 571: 59 62 126 69 56 71 128   N        SD: 0.1580 c. M: 0.3503 c. 
 580: 60 63 128 70 57 72 130   N        SD: 0.1768 c. M:-0.3914 c. 
 629: 65 68 139 76 62 78 141   N        SD: 0.1630 c. M: 0.3609 c. 
 638: 66 69 141 77 63 79 143   N        SD: 0.1414 c. M:-0.3135 c. 
 911: 94 99 201 110 90 113 204   N        SD: 0.1994 c. M:-0.3052 c. 
 936: 97 101 207 113 92 116 210   N        SD: 0.1850 c. M:-0.2917 c. 
 996: 103 108 220 120 98 124 223   N        SD: 0.1742 c. M:-0.3102 c. 
 1043: 108 113 230 126 103 129 234   N        SD: 0.1898 c. M: 0.2426 c. 
 1054: 109 114 233 127 104 131 236   N        SD: 0.1708 c. M:-0.2941 c. 
 1151: 119 125 254 139 113 143 258   N        SD: 0.1458 c. M:-0.2954 c. 
 1191: 123 129 263 144 117 148 267   N        SD: 0.1605 c. M: 0.2720 c. 
 1200: 124 130 265 145 118 149 269   N        SD: 0.0797 c. M: 0.1350 c. 
 1209: 125 131 267 146 119 150 271   N        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x x x x 2  S SD: 9.0000 cents
 2 x x x 3 x x 4  S SD: 17.0809 cents
 3 x x 4 x x 5:6  S SD: 19.9475 cents
 4 x 5 x 6 x 7:8  S SD: 34.5497 cents
 5 x 6:7 x 8:9:10  S SD: 23.8119 cents
 6 x 7:8:9 x 10:12  S SD: 13.8352 cents
 7 x 8:9:10:11:12:14  S SD: 17.5864 cents
 8 x 9:11:12:13:14:16    SD: 15.2677 cents
 9:10 x 12:13:14:15:18  S SD: 15.3277 cents
 10:11:12:14:15:16:17:20    SD: 14.9152 cents
 11:12:13:15:16:17:19:22    SD: 8.6856 cents
 12:13:14:16:18:19:21:24    SD: 7.9534 cents
 14:15:16:19:21:22:24:28    SD: 6.2281 cents
 17:18:20:23:25:27:29:34    SD: 5.9760 cents
 23:25:27:31:34:36:40:46    SD: 5.6678 cents
 24:26:28:32:35:38:41:48    SD: 5.4061 cents
 25:27:29:34:37:39:43:50    SD: 3.6734 cents
 26:28:30:35:38:41:45:52    SD: 3.2321 cents
 38:41:44:51:56:60:65:76    SD: 2.8639 cents
 40:43:46:54:59:63:69:80    SD: 2.6435 cents
 43:46:50:58:63:68:74:86    SD: 2.4450 cents
 51:55:59:69:75:80:88:103    SD: 2.1466 cents
 57:61:66:77:84:90:98:115    SD: 1.5529 cents
 68:73:79:92:100:107:117:137    SD: 0.9621 cents
 93:100:108:126:137:147:160:187    SD: 0.9265 cents
 106:114:123:143:156:167:182:213    SD: 0.8005 cents
 108:116:125:146:159:170:186:217    SD: 0.7724 cents
 125:134:145:169:184:197:215:251    SD: 0.7648 cents
 156:168:181:211:230:246:268:314    SD: 0.7592 cents
 159:171:184:215:234:251:273:320    SD: 0.7180 cents
 161:173:187:218:237:254:277:324    SD: 0.6408 cents
 170:183:197:230:250:268:292:342    SD: 0.5080 cents
 187:201:217:253:275:295:321:376    SD: 0.5041 cents
 189:203:219:256:278:298:325:380    SD: 0.4319 cents
 201:216:233:272:296:317:346:404    SD: 0.4000 cents
 227:244:263:307:334:358:390:456    SD: 0.3259 cents
 269:289:312:364:396:424:462:541    SD: 0.3202 cents
 295:317:342:399:434:465:507:593    SD: 0.1404 cents
 496:533:575:671:730:782:853:997    SD: 0.1272 cents