Scala analysis: Indonesia_Konservatori_Karawitan_Gamelan_I_b
Konservatori Karawitan Gamelan I (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: 227.000 cents 227.000000 2: 452.000 cents 452.000000 3: 706.000 cents 706.000000 4: 942.000 cents 942.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 258.0000 cents 258.0000 1: 227.0000 cents 227.0000 2: 225.0000 cents 225.0000 3: 254.0000 cents 254.0000 4: 236.0000 cents 236.0000 5: 258.0000 cents 258.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 225.00000 cents 1: 1 227.00000 cents 1: 1 236.00000 cents 1: 1 254.00000 cents 1: 1 258.00000 cents 2: 1 452.00000 cents 2: 1 479.00000 cents 2: 1 485.00000 cents 2: 1 490.00000 cents 2: 1 494.00000 cents 3: 1 706.00000 cents 3: 1 710.00000 cents 3: 1 715.00000 cents 3: 1 721.00000 cents 3: 1 748.00000 cents 4: 1 942.00000 cents 4: 1 946.00000 cents 4: 1 964.00000 cents 4: 1 973.00000 cents 4: 1 975.00000 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 : 227.0 452.0 706.0 942.0 1200.0 227.0 : 225.0 479.0 715.0 973.0 1200.0 452.0 : 254.0 490.0 748.0 975.0 1200.0 706.0 : 236.0 494.0 721.0 946.0 1200.0 942.0 : 258.0 485.0 710.0 964.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 225.0000 .. 258.0000 cents 33.00000 cents 225.00000 cents 2: 452.0000 .. 494.0000 cents 42.00000 cents 194.00000 cents 3: 706.0000 .. 748.0000 cents 42.00000 cents 212.00000 cents 4: 942.0000 .. 975.0000 cents 33.00000 cents 194.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 225.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 258.00000 cents Average / Smallest step : 1.066667 Largest / Average step : 1.075000 Largest / Smallest step : 1.146667 Median interval of one step : 236.00000 cents, amount: 1 Least squares average step : 236.67273 cents, oct.: 1183.36364 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 227 452 706 942 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 659 of 659.000 cents and inv. generated superset size: 186 = 181 more = 3720.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BADCE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 194.00000 cents Scale diversity : 1.156350 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.875000 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 : 3, average 710.3333 cents Number of appreciable fifths : 2, average 708.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 20.0000% Limited transpositions with margin 42.0000 cents: 1 4 Limited inverse transpositions with margin 38.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 17.1639 c. M:-28.0000 c. 18: 3 4 4 3 4 SP M ME S SD: 18.7954 c. M:-27.3333 c. 19: 4 3 4 4 4 SP M ME S SD: 13.4949 c. M:-25.6316 c. 22: 4 4 5 4 5 SP M ME S SD: 10.4757 c. M: 15.6364 c. 27: 5 5 6 5 6 SP M ME S SD: 6.0191 c. M: 8.6667 c. 32: 6 6 7 6 7 SP M ME S SD: 3.7550 c. M:-6.5000 c. 37: 7 7 8 7 8 SP M ME S SD: 3.5441 c. M:-7.5135 c. 59: 11 11 13 11 13 SP M DE S SD: 4.6211 c. M: 6.4068 c. 61: 12 11 13 12 13 SP T3 SD: 4.2974 c. M:-9.0656 c. 69: 13 13 15 13 15 SP M DE S SD: 3.4266 c. M:-7.0435 c. 70: 13 13 15 14 15 SP T3 S SD: 3.6684 c. M: 6.2857 c. 75: 14 14 16 15 16 SP T3 S SD: 2.5690 c. M: 4.0000 c. 80: 15 15 17 16 17 SP T3 S SD: 1.8974 c. M:-3.0000 c. 85: 16 16 18 17 18 SP T3 S SD: 1.8106 c. M:-3.8824 c. 107: 20 20 23 21 23 SP T3 S SD: 1.9578 c. M: 3.4019 c. 111: 21 21 23 22 24 SP SD: 1.8559 c. M: 3.2973 c. 112: 21 21 24 22 24 SP T3 S SD: 1.4171 c. M: 2.0000 c. 117: 22 22 25 23 25 SP T3 S SD: 1.2453 c. M:-1.6923 c. 122: 23 23 26 24 26 SP T3 S SD: 1.4661 c. M:-2.2623 c. 138: 26 26 29 27 30 SP SD: 1.5380 c. M: 2.8696 c. 143: 27 27 30 28 31 SP SD: 1.2081 c. M: 2.1399 c. 148: 28 28 31 29 32 SP SD: 1.1579 c. M:-2.0541 c. 180: 34 34 38 35 39 SP SD: 1.1255 c. M: 2.0000 c. 191: 36 36 40 38 41 SP SD: 1.1333 c. M: 2.3351 c. 196: 37 37 41 39 42 SP SD: 1.0734 c. M: 1.9184 c. 218: 41 41 46 43 47 SP SD: 0.9611 c. M: 1.4128 c. 223: 42 42 47 44 48 SP SD: 0.6647 c. M: 1.0673 c. 228: 43 43 48 45 49 SP SD: 0.5331 c. M: 0.7368 c. 255: 48 48 54 50 55 SP SD: 0.6319 c. M: 1.1176 c. 260: 49 49 55 51 56 SP SD: 0.4577 c. M: 0.8462 c. 311: 59 58 66 61 67 SP SD: 0.4506 c. M:-0.6527 c. 316: 60 59 67 62 68 SP SD: 0.4218 c. M:-0.8481 c. 391: 74 73 83 77 84 SP SD: 0.3967 c. M: 0.8491 c. 396: 75 74 84 78 85 SP SD: 0.3140 c. M: 0.4848 c. 401: 76 75 85 79 86 SP SD: 0.3666 c. M:-0.6434 c. 428: 81 80 91 84 92 SP SD: 0.3648 c. M: 0.5981 c. 507: 96 95 107 100 109 SP SD: 0.3188 c. M: 0.6746 c. 534: 101 100 113 105 115 SP SD: 0.2927 c. M: 0.4270 c. 539: 102 101 114 106 116 SP SD: 0.1659 c. M: 0.2560 c. 544: 103 102 115 107 117 SP SD: 0.1459 c. M:-0.2059 c. 656: 124 123 139 129 141 SP SD: 0.1210 c. M: 0.1707 c. 661: 125 124 140 130 142 SP SD: 0.1353 c. M:-0.2088 c. 940: 178 176 199 185 202 SP SD: 0.1266 c. M:-0.2340 c. 972: 184 182 206 191 209 SP SD: 0.1251 c. M:-0.1728 c. 1163: 220 218 246 229 250 SP SD: 0.1128 c. M: 0.2390 c. 1168: 221 219 247 230 251 SP SD: 0.1029 c. M: 0.1781 c. 1195: 226 224 253 235 257 SP SD: 0.0718 c. M: 0.1172 c. 1200: 227 225 254 236 258 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 2.0225 cents 3 x 4 x 5:6 S SD: 24.5915 cents 4 x 5:6:7:8 S SD: 17.7670 cents 5:6 x 8:9:10 S SD: 39.6614 cents 6:7:8:9:10:12 S SD: 16.7913 cents 7:8:9:11:12:14 SD: 15.7902 cents 8:9:10:12:14:16 S SD: 14.9450 cents 10:11:13:15:17:20 SD: 13.2821 cents 13:15:17:20:22:26 SD: 11.2100 cents 14:16:18:21:24:28 S SD: 3.9931 cents 30:34:39:45:52:60 SD: 3.0520 cents 36:41:47:54:62:72 SD: 2.1226 cents 44:50:57:66:76:88 SD: 1.8018 cents 50:57:65:75:86:100 SD: 1.1128 cents 87:99:113:131:150:174 SD: 0.8745 cents 101:115:131:152:174:202 SD: 0.6645 cents 127:145:165:191:219:254 SD: 0.6147 cents 137:156:178:206:236:274 SD: 0.5073 cents 151:172:196:227:260:302 SD: 0.4122 cents 214:244:278:322:369:428 SD: 0.4108 cents 221:252:287:332:381:442 SD: 0.3515 cents 228:260:296:343:393:456 SD: 0.2472 cents 278:317:361:418:479:556 SD: 0.0850 cents 600:684:779:902:1034:1200 SD: 0.0707 cents