Scala analysis: Indonesia_Lokananta
Lokananta (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: 240.000 cents 240.000000 2: 500.000 cents 500.000000 3: 730.000 cents 730.000000 4: 980.000 cents 980.000000 5: 1239.000 cents 1239.000000
SHOW/INTERVAL
0: 259.0000 cents 259.0000 1: 240.0000 cents 240.0000 2: 260.0000 cents 260.0000 3: 230.0000 cents 230.0000 4: 250.0000 cents 250.0000 5: 259.0000 cents 259.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 230.00000 cents 1: 1 240.00000 cents 1: 1 250.00000 cents 1: 1 259.00000 cents 1: 1 260.00000 cents 2: 1 480.00000 cents 2: 1 490.00000 cents 2: 1 499.00000 cents 2: 1 500.00000 cents 2: 1 509.00000 cents 3: 1 730.00000 cents 3: 1 739.00000 cents 3: 1 740.00000 cents 3: 1 749.00000 cents 3: 1 759.00000 cents 4: 1 979.00000 cents 4: 1 980.00000 cents 4: 1 989.00000 cents 4: 1 999.00000 cents 4: 1 1009.00000 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 : 240.0 500.0 730.0 980.0 1239.0 240.0 : 260.0 490.0 740.0 999.0 1239.0 500.0 : 230.0 480.0 739.0 979.0 1239.0 730.0 : 250.0 509.0 749.0 1009.0 1239.0 980.0 : 259.0 499.0 759.0 989.0 1239.0 1239.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 230.0000 .. 260.0000 cents 30.00000 cents 230.00000 cents 2: 480.0000 .. 509.0000 cents 29.00000 cents 220.00000 cents 3: 730.0000 .. 759.0000 cents 29.00000 cents 221.00000 cents 4: 979.0000 .. 1009.0000 cents 30.00000 cents 220.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 230.00000 cents, class 1 Average step (divided formal octave): 247.8000 cents Largest one step interval : 260.00000 cents Average / Smallest step : 1.077391 Largest / Average step : 1.049233 Largest / Smallest step : 1.130435 Median interval of one step : 250.00000 cents, amount: 1 Least squares average step : 246.27273 cents, oct.: 1231.36364 cents Scale is strictly proper Scale is a mode of a 1239-tone equal temperament with octave 1239.000 cents degrees: 240 500 730 980 1239 Least number of segments generator : 620 of 620.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 991 of 991.000 cents and inv. generated superset size: 90 = 85 more = 1800.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BEACD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 220.00000 cents Scale diversity : 1.073718 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.904762 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 : 1.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 4, average 499.5000 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 29.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 29.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 8.7772 c. M:-13.4000 c. 32: 6 7 6 6 7 SP M ME S SD: 7.0288 c. M: 12.0312 c. 34: 7 7 6 7 7 SP M ME I SD: 8.3415 c. M:-15.0882 c. Quasi-equal Pentatonic 37: 7 8 7 7 8 SP M ME S SD: 5.6669 c. M: 8.8919 c. 42: 8 9 8 8 9 SP M ME S SD: 4.8322 c. M:-7.5000 c. 47: 9 10 9 9 10 SP M ME S SD: 4.3742 c. M:-8.1277 c. 52: 10 11 10 10 11 SP M ME S SD: 4.1778 c. M:-8.6346 c. 57: 11 12 11 11 12 SP M ME S SD: 4.1508 c. M:-9.0526 c. 58: 11 12 11 12 12 SP M ME S SD: 4.9203 c. M: 8.6724 c. 61: 12 13 11 12 13 SP T3 SD: 4.5071 c. M:-7.7869 c. 62: 12 13 12 12 13 SP M ME S SD: 4.2248 c. M:-9.4032 c. 63: 12 13 12 13 13 SP M ME S SD: 4.5166 c. M: 8.3333 c. 66: 13 14 12 13 14 SP T3 SD: 4.0649 c. M:-6.8636 c. 67: 13 14 12 14 14 SP T3 SD: 3.9484 c. M: 8.7910 c. 71: 14 15 13 14 15 SP T3 SD: 3.7849 c. M:-6.0704 c. 72: 14 15 13 15 15 SP T3 SD: 3.3192 c. M: 7.2500 c. 76: 15 16 14 15 16 SP T3 SD: 3.6347 c. M:-5.3816 c. 77: 15 16 14 16 16 SP T3 SD: 2.8482 c. M: 5.9091 c. 81: 16 17 15 16 17 SP T3 SD: 3.5834 c. M:-4.7778 c. 82: 16 17 15 17 17 SP T3 SD: 2.5269 c. M: 4.7317 c. 87: 17 18 16 18 18 SP T3 SD: 2.3450 c. M: 3.6897 c. 92: 18 19 17 19 19 SP T3 SD: 2.2843 c. M:-3.1196 c. 99: 19 21 18 20 21 SP SD: 2.7138 c. M: 4.1212 c. 102: 20 21 19 21 21 SP T3 SD: 2.4174 c. M:-3.9118 c. 104: 20 22 19 21 22 SP SD: 2.1664 c. M: 3.2788 c. 109: 21 23 20 22 23 SP SD: 1.6715 c. M: 2.5138 c. 114: 22 24 21 23 24 SP SD: 1.2242 c. M: 1.8421 c. 119: 23 25 22 24 25 SP SD: 0.8239 c. M: 1.2941 c. 124: 24 26 23 25 26 SP SD: 0.4840 c. M: 0.7903 c. 129: 25 27 24 26 27 SP SD: 0.2943 c. M: 0.5581 c. 253: 49 53 47 51 53 SP SD: 0.3571 c. M: 0.5534 c. 263: 51 55 49 53 55 SP SD: 0.3232 c. M: 0.6312 c. 382: 74 80 71 77 80 SP SD: 0.3270 c. M: 0.5079 c. 392: 76 82 73 79 82 SP SD: 0.3040 c. M: 0.6071 c. 521: 101 109 97 105 109 SP SD: 0.2977 c. M: 0.5950 c. 635: 123 133 118 128 133 SP SD: 0.3381 c. M: 0.5071 c. 640: 124 134 119 129 134 SP SD: 0.3091 c. M: 0.5281 c. 650: 126 136 121 131 136 SP SD: 0.2951 c. M: 0.5877 c. 708: 137 149 131 143 148 SP SD: 0.2739 c. M:-0.5000 c. 713: 138 150 132 144 149 SP SD: 0.2384 c. M:-0.4656 c. 718: 139 151 133 145 150 SP SD: 0.2160 c. M:-0.4318 c. 723: 140 152 134 146 151 SP SD: 0.2101 c. M:-0.3983 c. 728: 141 153 135 147 152 SP SD: 0.2212 c. M:-0.3654 c. 733: 142 154 136 148 153 SP SD: 0.2465 c. M:-0.3820 c. 832: 161 175 154 168 174 SP SD: 0.2433 c. M:-0.3654 c. 837: 162 176 155 169 175 SP SD: 0.2006 c. M:-0.3369 c. 842: 163 177 156 170 176 SP SD: 0.1649 c. M:-0.3088 c. 847: 164 178 157 171 177 SP SD: 0.1407 c. M:-0.2810 c. 852: 165 179 158 172 178 SP SD: 0.1337 c. M:-0.2535 c. 857: 166 180 159 173 179 SP SD: 0.1458 c. M:-0.2264 c. 966: 187 203 179 195 202 SP SD: 0.1525 c. M:-0.2174 c. 971: 188 204 180 196 203 SP SD: 0.1153 c. M:-0.1936 c. 976: 189 205 181 197 204 SP SD: 0.0871 c. M:-0.1701 c. 981: 190 206 182 198 205 SP SD: 0.0774 c. M:-0.1468 c. 986: 191 207 183 199 206 SP SD: 0.0916 c. M:-0.1420 c. 1100: 213 231 204 222 230 SP SD: 0.0847 c. M: 0.1164 c. 1105: 214 232 205 223 231 SP SD: 0.0507 c. M:-0.0851 c. 1110: 215 233 206 224 232 SP SD: 0.0342 c. M:-0.0649 c. 1234: 239 259 229 249 258 SP SD: 0.0356 c. M: 0.0543 c. 1239: 240 260 230 250 259 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 39.0000 cents 2 x x 3 x 4 S SD: 24.0183 cents 3 x 4 x 5:6 S SD: 34.4352 cents 4 x 5:6:7:8 S SD: 30.9808 cents 5:6:7:8:9:10 H SD: 29.9785 cents 6:7:8:9:11:12 SD: 17.7140 cents 8:9:11:12:14:16 SD: 15.9605 cents 9:10:12:14:16:18 S SD: 15.8999 cents 12:14:16:18:21:25 SD: 10.2770 cents 13:15:17:20:23:27 SD: 9.6502 cents 15:17:20:23:26:31 SD: 8.3251 cents 19:22:25:29:33:39 SD: 7.5825 cents 20:23:27:30:35:41 SD: 7.2430 cents 21:24:28:32:37:43 SD: 1.8511 cents 59:68:79:90:104:121 SD: 1.8451 cents 66:76:88:101:116:135 SD: 1.7751 cents 67:77:89:102:118:137 SD: 1.7655 cents 68:78:91:104:120:139 SD: 1.6612 cents 74:85:99:113:130:151 SD: 1.5715 cents 80:92:107:122:141:164 SD: 1.1211 cents 93:107:124:142:164:190 SD: 1.0543 cents 101:116:135:154:178:207 SD: 0.8417 cents 114:131:152:174:201:233 SD: 0.7429 cents 134:154:179:204:236:274 SD: 0.5840 cents 155:178:207:236:273:317 SD: 0.4808 cents 215:247:287:328:379:440 SD: 0.4127 cents 221:254:295:337:389:452 SD: 0.3117 cents 242:278:323:369:426:495 SD: 0.2124 cents 370:425:494:564:652:757 SD: 0.1960 cents 397:456:530:605:699:812 SD: 0.1895 cents 457:525:610:697:805:935 SD: 0.1708 cents 490:563:654:747:863:1002 SD: 0.1478 cents 511:587:682:779:900:1045 SD: 0.1095 cents 591:679:789:901:1041:1209 SD: 0.0825 cents