Scala analysis: Indonesia_Tunggul
Tunggul (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: 238.000 cents 238.000000 2: 487.000 cents 487.000000 3: 730.000 cents 730.000000 4: 958.000 cents 958.000000 5: 1222.000 cents 1222.000000
SHOW/INTERVAL
0: 264.0000 cents 264.0000 1: 238.0000 cents 238.0000 2: 249.0000 cents 249.0000 3: 243.0000 cents 243.0000 4: 228.0000 cents 228.0000 5: 264.0000 cents 264.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 228.00000 cents 1: 1 238.00000 cents 1: 1 243.00000 cents 1: 1 249.00000 cents 1: 1 264.00000 cents 2: 1 471.00000 cents 2: 1 487.00000 cents 2: 2 492.00000 cents 2: 1 502.00000 cents 3: 1 720.00000 cents 3: 2 730.00000 cents 3: 1 735.00000 cents 3: 1 751.00000 cents 4: 1 958.00000 cents 4: 1 973.00000 cents 4: 1 979.00000 cents 4: 1 984.00000 cents 4: 1 994.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 238.0 487.0 730.0 958.0 1222.0 238.0 : 249.0 492.0 720.0 984.0 1222.0 487.0 : 243.0 471.0 735.0 973.0 1222.0 730.0 : 228.0 492.0 730.0 979.0 1222.0 958.0 : 264.0 502.0 751.0 994.0 1222.0 1222.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 228.0000 .. 264.0000 cents 36.00000 cents 228.00000 cents 2: 471.0000 .. 502.0000 cents 31.00000 cents 207.00000 cents 3: 720.0000 .. 751.0000 cents 31.00000 cents 218.00000 cents 4: 958.0000 .. 994.0000 cents 36.00000 cents 207.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 228.00000 cents, class 1 Average step (divided formal octave): 244.4000 cents Largest one step interval : 264.00000 cents Average / Smallest step : 1.071930 Largest / Average step : 1.080196 Largest / Smallest step : 1.157895 Median interval of one step : 243.00000 cents, amount: 1 Least squares average step : 242.61818 cents, oct.: 1213.09091 cents Scale is strictly proper Scale is a mode of a 1222-tone equal temperament with octave 1222.000 cents degrees: 238 487 730 958 1222 Least number of segments generator : 613 of 613.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 733 of 733.000 cents and inv. generated superset size: 99 = 94 more = 1980.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BDCAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 207.00000 cents Scale diversity : 1.111883 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.890344 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 5.00000 cents Most common intervals : 492.00000 cents & inv., amount: 2 Most common triad is 0.0 492.000 730.000 cents, amount: 1 Number of recognisable fifths : 1, average 720.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 4, average 493.2500 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 36.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 36.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 9.3659 c. M:-19.6000 c. 22: 4 5 4 4 5 SP M ME S SD: 11.5573 c. M: 15.8182 c. Raga Durga 27: 5 6 5 5 6 SP M ME S SD: 8.3195 c. M: 11.7037 c. 32: 6 7 6 6 7 SP M ME S SD: 6.3007 c. M:-9.4375 c. 37: 7 8 7 7 8 SP M ME S SD: 5.0731 c. M:-8.4054 c. 42: 8 9 8 8 9 SP M ME S SD: 4.4032 c. M:-7.6190 c. 45: 9 9 9 8 10 SP T3 SD: 4.7228 c. M: 7.5556 c. 47: 9 10 9 9 10 SP M ME S SD: 4.1231 c. M:-7.0000 c. 50: 10 10 10 9 11 SP T3 SD: 3.9463 c. M:-6.4000 c. 55: 11 11 11 10 12 SP T3 SD: 3.5013 c. M:-6.4000 c. 60: 12 12 12 11 13 SP T3 SD: 3.3175 c. M:-6.4000 c. 65: 13 13 13 12 14 SP T3 SD: 3.3190 c. M:-6.4000 c. 70: 14 14 14 13 15 SP T3 SD: 3.4360 c. M:-6.4000 c. 75: 15 15 15 14 16 SP T3 SD: 3.6159 c. M:-6.4000 c. 77: 15 16 15 14 17 SP SD: 3.4145 c. M: 5.7922 c. 78: 15 16 16 14 17 SP SD: 3.3566 c. M:-6.3333 c. 82: 16 17 16 15 18 SP SD: 2.8672 c. M:-4.7805 c. 87: 17 18 17 16 19 SP SD: 2.4603 c. M:-4.6092 c. 92: 18 19 18 17 20 SP SD: 2.1940 c. M:-4.4565 c. 97: 19 20 19 18 21 SP SD: 2.0632 c. M:-4.3196 c. 102: 20 21 20 19 22 SP SD: 2.0506 c. M:-4.1961 c. 107: 21 22 21 20 23 SP SD: 2.1277 c. M:-4.0841 c. 112: 22 23 22 21 24 SP SD: 2.2640 c. M:-3.9821 c. 117: 23 24 23 22 25 SP SD: 2.4348 c. M:-3.8889 c. 120: 23 25 24 22 26 SP SD: 2.3825 c. M: 3.7833 c. 124: 24 25 25 23 27 SP SD: 2.1908 c. M: 4.1129 c. 125: 24 26 25 23 27 SP SD: 2.2307 c. M: 3.3760 c. 129: 25 26 26 24 28 SP SD: 1.9161 c. M: 3.8837 c. 130: 25 27 26 24 28 SP SD: 2.1503 c. M:-3.2000 c. 134: 26 27 27 25 29 SP SD: 1.7145 c. M: 3.6716 c. 139: 27 28 28 26 30 SP SD: 1.5901 c. M: 3.4748 c. 144: 28 29 29 27 31 SP SD: 1.5421 c. M: 3.2917 c. 149: 29 30 30 28 32 SP SD: 1.5618 c. M: 3.1208 c. 154: 30 31 31 29 33 SP SD: 1.6348 c. M: 2.9610 c. 156: 30 32 31 29 34 SP SD: 1.9221 c. M: 3.0000 c. 158: 31 32 31 30 34 SP SD: 1.6224 c. M: 2.9873 c. 159: 31 32 32 30 34 SP SD: 1.7452 c. M: 2.8113 c. 161: 31 33 32 30 35 SP SD: 1.6386 c. M: 2.7081 c. 166: 32 34 33 31 36 SP SD: 1.3956 c. M: 2.4337 c. 171: 33 35 34 32 37 SP SD: 1.2003 c. M: 2.1754 c. 176: 34 36 35 33 38 SP SD: 1.0626 c. M: 1.9318 c. 181: 35 37 36 34 39 SP SD: 0.9915 c. M: 1.7017 c. 186: 36 38 37 35 40 SP SD: 0.9888 c. M: 1.4839 c. 216: 42 44 43 40 47 SP SD: 0.8951 c. M: 1.8981 c. 221: 43 45 44 41 48 SP SD: 0.6681 c. M: 1.4118 c. 226: 44 46 45 42 49 SP SD: 0.4556 c. M: 0.9469 c. 231: 45 47 46 43 50 SP SD: 0.2666 c. M: 0.5022 c. 236: 46 48 47 44 51 SP SD: 0.1567 c. M: 0.2712 c. 477: 93 97 95 89 103 SP SD: 0.1779 c. M:-0.2516 c. 703: 137 143 140 131 152 SP SD: 0.1754 c. M: 0.2859 c. 713: 139 145 142 133 154 SP SD: 0.1648 c. M: 0.2567 c. 740: 144 151 147 138 160 SP SD: 0.1559 c. M: 0.2162 c. 745: 145 152 148 139 161 SP SD: 0.1139 c. M: 0.1611 c. 750: 146 153 149 140 162 SP SD: 0.0986 c. M:-0.1707 c. 976: 190 199 194 182 211 SP SD: 0.1008 c. M: 0.1824 c. 981: 191 200 195 183 212 SP SD: 0.0588 c. M: 0.0815 c. 986: 192 201 196 184 213 SP SD: 0.0375 c. M:-0.0649 c. 1217: 237 248 242 227 263 SP SD: 0.0385 c. M: 0.0805 c. 1222: 238 249 243 228 264 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 22.0000 cents 2 x x 3 x 4 S SD: 17.8222 cents 3 x 4 x 5:6 S SD: 25.8823 cents 4 x 5:6:7:8 S SD: 26.8392 cents 6:7:8:9:10:12 S SD: 17.4918 cents 7:8:9:11:12:14 SD: 16.2479 cents 9:10:12:14:16:18 S SD: 15.9586 cents 11:13:15:17:19:22 SD: 15.8740 cents 12:14:16:18:21:24 S SD: 9.6814 cents 13:15:17:20:23:26 SD: 9.4286 cents 15:17:20:23:26:30 SD: 6.9089 cents 19:22:25:29:33:38 SD: 5.9476 cents 27:31:36:41:47:55 SD: 3.2724 cents 34:39:45:52:59:69 SD: 1.5402 cents 61:70:81:93:106:124 SD: 1.4873 cents 74:85:98:113:129:150 SD: 1.1137 cents 80:92:106:122:139:162 SD: 0.8673 cents 114:131:151:174:198:231 SD: 0.8195 cents 130:149:172:198:226:263 SD: 0.8087 cents 149:171:197:227:259:302 SD: 0.7971 cents 150:172:199:229:261:304 SD: 0.7611 cents 154:177:204:235:268:312 SD: 0.7275 cents 156:179:207:238:271:316 SD: 0.7106 cents 157:180:208:239:273:318 SD: 0.5686 cents 191:219:253:291:332:387 SD: 0.3806 cents 231:265:306:352:402:468 SD: 0.2974 cents 265:304:351:404:461:537 SD: 0.2067 cents 326:374:432:497:567:660 SD: 0.2012 cents 345:396:457:526:600:699 SD: 0.1750 cents 360:413:477:549:626:729 SD: 0.1671 cents 502:576:665:765:873:1017 SD: 0.1514 cents 536:615:710:817:932:1086 SD: 0.1356 cents 591:678:783:901:1028:1197 SD: 0.0900 cents