Scala analysis: Indonesia_Surak
Surak (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: 231.000 cents 231.000000 2: 464.000 cents 464.000000 3: 712.000 cents 712.000000 4: 962.000 cents 962.000000 5: 1218.000 cents 1218.000000
SHOW/INTERVAL
0: 256.0000 cents 256.0000 1: 231.0000 cents 231.0000 2: 233.0000 cents 233.0000 3: 248.0000 cents 248.0000 4: 250.0000 cents 250.0000 5: 256.0000 cents 256.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 231.00000 cents 1: 1 233.00000 cents 1: 1 248.00000 cents 1: 1 250.00000 cents 1: 1 256.00000 cents 2: 1 464.00000 cents 2: 1 481.00000 cents 2: 1 487.00000 cents 2: 1 498.00000 cents 2: 1 506.00000 cents 3: 1 712.00000 cents 3: 1 720.00000 cents 3: 1 731.00000 cents 3: 1 737.00000 cents 3: 1 754.00000 cents 4: 1 962.00000 cents 4: 1 968.00000 cents 4: 1 970.00000 cents 4: 1 985.00000 cents 4: 1 987.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 231.0 464.0 712.0 962.0 1218.0 231.0 : 233.0 481.0 731.0 987.0 1218.0 464.0 : 248.0 498.0 754.0 985.0 1218.0 712.0 : 250.0 506.0 737.0 970.0 1218.0 962.0 : 256.0 487.0 720.0 968.0 1218.0 1218.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 231.0000 .. 256.0000 cents 25.00000 cents 231.00000 cents 2: 464.0000 .. 506.0000 cents 42.00000 cents 208.00000 cents 3: 712.0000 .. 754.0000 cents 42.00000 cents 206.00000 cents 4: 962.0000 .. 987.0000 cents 25.00000 cents 208.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 231.00000 cents, class 1 Average step (divided formal octave): 243.6000 cents Largest one step interval : 256.00000 cents Average / Smallest step : 1.054545 Largest / Average step : 1.050903 Largest / Smallest step : 1.108225 Median interval of one step : 248.00000 cents, amount: 1 Least squares average step : 240.60000 cents, oct.: 1203.00000 cents Scale is strictly proper Scale is a mode of a 1218-tone equal temperament with octave 1218.000 cents degrees: 231 464 712 962 1218 Least number of segments generator : 611 of 611.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 731 of 731.000 cents and inv. generated superset size: 117 = 112 more = 2340.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ABCDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 206.00000 cents Scale diversity : 1.116395 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.889984 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 2, average 716.0000 cents Number of appreciable fifths : 1, average 712.0000 cents Number of recognisable fourths : 4, average 493.0000 cents Number of appreciable fourths : 3, average 497.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Steps are strictly increasing Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 42.0000 cents: 1 4 Limited inverse transpositions with margin 34.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 15.5190 c. M:-23.2000 c. 19: 4 3 4 4 4 SP M ME S SD: 13.6102 c. M:-25.4211 c. 21: 4 4 4 5 4 SP M ME S SD: 12.9074 c. M:-24.0000 c. 22: 4 4 5 4 5 SP M ME S SD: 14.3461 c. M: 21.0909 c. 24: 5 4 5 5 5 SP M ME S SD: 10.7465 c. M:-22.7500 c. 27: 5 5 6 5 6 SP M ME S SD: 10.0646 c. M: 14.6667 c. 29: 6 5 6 6 6 SP M ME S SD: 9.6437 c. M:-21.0000 c. 31: 6 6 6 6 7 SP M ME S SD: 9.6282 c. M: 19.0323 c. 32: 6 6 7 6 7 SP M ME S SD: 7.6623 c. M:-11.1875 c. 37: 7 7 8 7 8 SP M ME S SD: 6.5334 c. M:-12.2162 c. 42: 8 8 9 8 9 SP M ME S SD: 6.2450 c. M:-13.0000 c. 43: 8 8 9 9 9 SP D3 S SD: 5.5101 c. M: 10.7907 c. 44: 8 9 9 9 9 SP M ME S SD: 6.9480 c. M: 9.5455 c. 47: 9 9 9 10 10 SP D3 S SD: 5.8692 c. M: 12.2979 c. 48: 9 9 10 10 10 SP D3 S SD: 3.6542 c. M: 7.2500 c. 53: 10 10 11 11 11 SP D3 S SD: 2.4914 c. M: 4.3774 c. 58: 11 11 12 12 12 SP D3 S SD: 2.1909 c. M:-4.0000 c. 63: 12 12 13 13 13 SP D3 S SD: 2.6034 c. M:-4.6667 c. 84: 16 16 17 17 18 SP SD: 2.3770 c. M: 5.0000 c. 89: 17 17 18 18 19 SP SD: 2.0365 c. M: 4.0225 c. 94: 18 18 19 19 20 SP SD: 2.0704 c. M: 3.1489 c. 105: 20 20 21 22 22 SP SD: 2.0494 c. M: 4.4000 c. 110: 21 21 22 23 23 SP SD: 1.8110 c. M: 3.3455 c. 115: 22 22 23 24 24 SP SD: 1.8468 c. M: 2.3826 c. 118: 22 23 24 24 25 SP SD: 1.9912 c. M: 3.9153 c. 120: 23 23 24 25 25 SP SD: 2.0845 c. M:-2.9000 c. 123: 23 24 25 25 26 SP SD: 1.7673 c. M: 3.2439 c. 132: 25 25 27 27 28 SP SD: 1.7256 c. M: 2.6364 c. 137: 26 26 28 28 29 SP SD: 1.1660 c. M: 1.8248 c. 142: 27 27 29 29 30 SP SD: 0.7450 c. M: 1.3239 c. 147: 28 28 30 30 31 SP SD: 0.6421 c. M:-1.0000 c. 200: 38 38 41 41 42 SP SD: 0.6085 c. M: 1.1600 c. 205: 39 39 42 42 43 SP SD: 0.6409 c. M:-0.9756 c. 286: 54 55 58 59 60 SP SD: 0.6242 c. M: 1.0280 c. 291: 55 56 59 60 61 SP SD: 0.5756 c. M: 0.7938 c. 323: 61 62 66 66 68 SP SD: 0.5745 c. M: 0.9752 c. 328: 62 63 67 67 69 SP SD: 0.5700 c. M:-0.9756 c. 342: 65 65 70 70 72 SP SD: 0.5537 c. M: 1.0175 c. 347: 66 66 71 71 73 SP SD: 0.4992 c. M: 0.6686 c. 352: 67 67 72 72 74 SP SD: 0.5404 c. M:-0.8352 c. 370: 70 71 75 76 78 SP SD: 0.6068 c. M: 0.9514 c. 375: 71 72 76 77 79 SP SD: 0.4884 c. M: 0.6880 c. 380: 72 73 77 78 80 SP SD: 0.4461 c. M:-0.7632 c. 423: 80 81 86 87 89 SP SD: 0.5034 c. M: 0.7801 c. 428: 81 82 87 88 90 SP SD: 0.3400 c. M: 0.5514 c. 433: 82 83 88 89 91 SP SD: 0.2197 c. M: 0.3395 c. 438: 83 84 89 90 92 SP SD: 0.2162 c. M:-0.3973 c. 575: 109 110 117 118 121 SP SD: 0.1939 c. M: 0.3096 c. 580: 110 111 118 119 122 SP SD: 0.1095 c. M: 0.2000 c. 638: 121 122 130 131 134 SP SD: 0.0996 c. M:-0.1818 c. 1071: 203 205 218 220 225 SP SD: 0.0881 c. M: 0.1373 c. 1213: 230 232 247 249 255 SP SD: 0.0640 c. M: 0.0956 c. 1218: 231 233 248 250 256 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 18.0000 cents 2 x x 3 x 4 S SD: 10.3066 cents 3 x 4 x 5:6 S SD: 28.8891 cents 4 x 5:6:7:8 S SD: 20.1660 cents 6:7:8:9:10:12 S SD: 18.8667 cents 7:8:9:11:12:14 SD: 16.6887 cents 10:11:13:15:17:20 SD: 16.4390 cents 12:14:16:18:21:24 S SD: 10.8024 cents 13:15:17:20:23:26 SD: 9.8160 cents 14:16:18:21:24:28 S SD: 9.1533 cents 16:18:21:24:28:32 S SD: 7.0749 cents 20:23:26:30:35:40 SD: 5.2437 cents 27:31:35:41:47:55 SD: 4.9155 cents 29:33:38:44:51:59 SD: 4.6185 cents 33:38:43:50:58:67 SD: 4.6116 cents 35:40:46:53:61:71 SD: 2.5849 cents 42:48:55:63:73:85 SD: 2.3678 cents 43:49:56:65:75:87 SD: 1.8406 cents 49:56:64:74:85:99 SD: 1.7444 cents 55:63:72:83:96:111 SD: 1.1497 cents 85:97:111:128:148:172 SD: 1.0764 cents 98:112:128:148:171:198 SD: 0.5980 cents 140:160:183:211:244:283 SD: 0.3848 cents 195:223:255:294:340:394 SD: 0.3784 cents 238:272:311:359:415:481 SD: 0.2234 cents 342:391:447:516:596:691 SD: 0.2178 cents 393:449:514:593:685:794 SD: 0.1883 cents 413:472:540:623:720:835 SD: 0.1765 cents 491:561:642:741:856:992 SD: 0.1615 cents 511:584:668:771:891:1033 SD: 0.1582 cents 533:609:697:804:929:1077 SD: 0.1293 cents 576:658:753:869:1004:1164 SD: 0.1190 cents