Scala analysis: Indonesia_Nagalima
Nagalima (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: 251.000 cents 251.000000 2: 483.000 cents 483.000000 3: 728.000 cents 728.000000 4: 960.000 cents 960.000000 5: 1221.000 cents 1221.000000
SHOW/INTERVAL
0: 261.0000 cents 261.0000 1: 251.0000 cents 251.0000 2: 232.0000 cents 232.0000 3: 245.0000 cents 245.0000 4: 232.0000 cents 232.0000 5: 261.0000 cents 261.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 232.00000 cents 1: 1 245.00000 cents 1: 1 251.00000 cents 1: 1 261.00000 cents 2: 2 477.00000 cents 2: 1 483.00000 cents 2: 1 493.00000 cents 2: 1 512.00000 cents 3: 1 709.00000 cents 3: 1 728.00000 cents 3: 1 738.00000 cents 3: 2 744.00000 cents 4: 1 960.00000 cents 4: 1 970.00000 cents 4: 1 976.00000 cents 4: 2 989.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 251.0 483.0 728.0 960.0 1221.0 251.0 : 232.0 477.0 709.0 970.0 1221.0 483.0 : 245.0 477.0 738.0 989.0 1221.0 728.0 : 232.0 493.0 744.0 976.0 1221.0 960.0 : 261.0 512.0 744.0 989.0 1221.0 1221.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 232.0000 .. 261.0000 cents 29.00000 cents 232.00000 cents 2: 477.0000 .. 512.0000 cents 35.00000 cents 216.00000 cents 3: 709.0000 .. 744.0000 cents 35.00000 cents 197.00000 cents 4: 960.0000 .. 989.0000 cents 29.00000 cents 216.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 232.00000 cents, class 1 Average step (divided formal octave): 244.2000 cents Largest one step interval : 261.00000 cents Average / Smallest step : 1.052586 Largest / Average step : 1.068796 Largest / Smallest step : 1.125000 Median interval of one step : 245.00000 cents, amount: 1 Most common interval of one step : 232.00000 cents, amount: 2 Least squares average step : 242.65455 cents, oct.: 1213.27273 cents Scale is strictly proper Scale is a mode of a 1221-tone equal temperament with octave 1221.000 cents degrees: 251 483 728 960 1221 Least number of segments generator : 611 of 611.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 625 of 625.000 cents and inv. generated superset size: 110 = 105 more = 2200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBD Step pattern size order : CABAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 197.00000 cents Scale diversity : 1.105158 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.895168 Rothenberg efficiency : 0.480000 redundancy: 0.520000 Efficiency x scale size : 2.400000 Number of different interval sizes : 16 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 6.00000 cents Number of recognisable fifths : 1, average 709.0000 cents Number of recognisable fourths : 3, average 496.0000 cents Number of appreciable fourths : 1, average 493.0000 cents Best fifths 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: 8.7040 c. M:-16.8000 c. 23: 5 4 5 4 5 SP M ME I SD: 9.8673 c. M:-15.2174 c. 28: 6 5 6 5 6 SP M ME I SD: 7.7740 c. M:-13.3214 c. 33: 7 6 7 6 7 SP M ME I SD: 6.5727 c. M:-12.0000 c. 38: 8 7 8 7 8 SP M ME I SD: 5.9135 c. M:-11.0263 c. 43: 9 8 9 8 9 SP M ME I SD: 5.5880 c. M:-10.2791 c. 48: 10 9 10 9 10 SP M ME I SD: 5.4631 c. M:-9.6875 c. 50: 10 10 10 9 11 SP T3 SD: 5.5610 c. M: 7.6200 c. 53: 11 10 11 10 11 SP M ME I SD: 5.4547 c. M:-9.2075 c. 55: 11 11 11 10 12 SP T3 SD: 5.0144 c. M: 6.8000 c. 57: 12 11 11 11 12 SP D3 I SD: 5.4055 c. M:-9.6842 c. 59: 12 11 12 11 13 SP T3 SD: 5.1844 c. M: 8.0339 c. 60: 12 12 12 11 13 SP T3 SD: 4.6725 c. M: 6.8000 c. 64: 13 12 13 12 14 SP T3 SD: 4.2847 c. M: 6.0937 c. 69: 14 13 14 13 15 SP T3 SD: 3.5683 c. M: 5.2174 c. 74: 15 14 15 14 16 SP T3 SD: 3.0166 c. M: 4.5000 c. 79: 16 15 16 15 17 SP T3 SD: 2.6197 c. M: 3.8734 c. 84: 17 16 17 16 18 SP T3 SD: 2.3696 c. M: 3.8929 c. 89: 18 17 18 17 19 SP T3 SD: 2.2526 c. M: 4.0562 c. 94: 19 18 19 18 20 SP T3 SD: 2.2456 c. M: 4.2021 c. 107: 22 20 22 20 23 SP T3 SD: 2.0691 c. M: 3.7290 c. 111: 23 21 22 21 24 SP SD: 1.8974 c. M: 3.0000 c. 112: 23 21 23 21 24 SP T3 SD: 1.8637 c. M: 3.3214 c. 116: 24 22 23 22 25 SP SD: 1.5227 c. M: 2.1466 c. 121: 25 23 24 23 26 SP SD: 1.2210 c. M: 1.4545 c. 126: 26 24 25 24 27 SP SD: 1.0116 c. M:-1.5238 c. 131: 27 25 26 25 28 SP SD: 0.9177 c. M:-1.6718 c. 136: 28 26 27 26 29 SP SD: 0.9430 c. M:-1.8088 c. 200: 41 38 40 38 43 SP SD: 1.0526 c. M: 1.5150 c. 205: 42 39 41 39 44 SP SD: 0.8946 c. M: 1.3561 c. 210: 43 40 42 40 45 SP SD: 0.7786 c. M: 1.2143 c. 215: 44 41 43 41 46 SP SD: 0.7148 c. M: 1.1209 c. 220: 45 42 44 42 47 SP SD: 0.7085 c. M: 1.2500 c. 233: 48 44 47 44 50 SP SD: 0.6750 c. M: 1.0172 c. 238: 49 45 48 45 51 SP SD: 0.5248 c. M: 0.7563 c. 243: 50 46 49 46 52 SP SD: 0.4168 c. M: 0.6296 c. 248: 51 47 50 47 53 SP SD: 0.3762 c. M:-0.6613 c. 369: 76 70 74 70 79 SP SD: 0.2855 c. M:-0.4797 c. 374: 77 71 75 71 80 SP SD: 0.2046 c. M:-0.3824 c. 379: 78 72 76 72 81 SP SD: 0.1751 c. M:-0.2876 c. 622: 128 118 125 118 133 SP SD: 0.1824 c. M:-0.2814 c. 627: 129 119 126 119 134 SP SD: 0.1730 c. M:-0.3158 c. 763: 157 145 153 145 163 SP SD: 0.1871 c. M:-0.2792 c. 827: 170 157 166 157 177 SP SD: 0.1825 c. M: 0.3265 c. 832: 171 158 167 158 178 SP SD: 0.1363 c. M: 0.2236 c. 837: 172 159 168 159 179 SP SD: 0.0981 c. M: 0.1434 c. 842: 173 160 169 160 180 SP SD: 0.0788 c. M: 0.1295 c. 1211: 249 230 243 230 259 SP SD: 0.0719 c. M: 0.1387 c. 1216: 250 231 244 231 260 SP SD: 0.0358 c. M: 0.0691 c. 1221: 251 232 245 232 261 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 21.0000 cents 2 x x 3 x 4 S SD: 16.7283 cents 3 x 4 x 5:6 S SD: 26.6436 cents 4 x 5:6:7:8 S SD: 25.6728 cents 6:7:8:9:10:12 S SD: 17.1104 cents 7:8:9:11:12:14 SD: 16.5184 cents 11:13:15:17:19:22 SD: 15.0460 cents 12:14:16:18:21:24 S SD: 8.1865 cents 19:22:25:29:33:38 SD: 4.6714 cents 27:31:36:41:47:55 SD: 4.4962 cents 31:36:41:47:54:63 SD: 2.5716 cents 38:44:50:58:66:77 SD: 2.0708 cents 46:53:61:70:80:93 SD: 1.7334 cents 50:58:66:76:87:101 SD: 1.6258 cents 65:75:86:99:113:132 SD: 1.4139 cents 77:89:102:117:134:156 SD: 1.1043 cents 84:97:111:128:146:170 SD: 0.7612 cents 109:126:144:166:190:221 SD: 0.6927 cents 115:133:152:175:200:233 SD: 0.5572 cents 128:148:169:195:223:259 SD: 0.5055 cents 155:179:205:236:270:314 SD: 0.5035 cents 174:201:230:265:303:352 SD: 0.3605 cents 205:237:271:312:357:415 SD: 0.1983 cents 289:334:382:440:503:585 SD: 0.1669 cents 398:460:526:606:693:806 SD: 0.1548 cents 417:482:551:635:726:844 SD: 0.1476 cents 494:571:653:752:860:1000 SD: 0.1260 cents