Scala analysis: Indonesia_Pusparana
Pusparana (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: 230.000 cents 230.000000 2: 458.000 cents 458.000000 3: 700.000 cents 700.000000 4: 959.000 cents 959.000000 5: 1201.000 cents 1201.000000
SHOW/INTERVAL
0: 242.0000 cents 242.0000 1: 230.0000 cents 230.0000 2: 228.0000 cents 228.0000 3: 242.0000 cents 242.0000 4: 259.0000 cents 259.0000 5: 242.0000 cents 242.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 228.00000 cents 1: 1 230.00000 cents 1: 2 242.00000 cents 1: 1 259.00000 cents 2: 1 458.00000 cents 2: 1 470.00000 cents 2: 1 472.00000 cents 2: 2 501.00000 cents 3: 2 700.00000 cents 3: 1 729.00000 cents 3: 1 731.00000 cents 3: 1 743.00000 cents 4: 1 942.00000 cents 4: 2 959.00000 cents 4: 1 971.00000 cents 4: 1 973.00000 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 : 230.0 458.0 700.0 959.0 1201.0 230.0 : 228.0 470.0 729.0 971.0 1201.0 458.0 : 242.0 501.0 743.0 973.0 1201.0 700.0 : 259.0 501.0 731.0 959.0 1201.0 959.0 : 242.0 472.0 700.0 942.0 1201.0 1201.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 228.0000 .. 259.0000 cents 31.00000 cents 228.00000 cents 2: 458.0000 .. 501.0000 cents 43.00000 cents 199.00000 cents 3: 700.0000 .. 743.0000 cents 43.00000 cents 199.00000 cents 4: 942.0000 .. 973.0000 cents 31.00000 cents 199.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 228.00000 cents, class 1 Average step (divided formal octave): 240.2000 cents Largest one step interval : 259.00000 cents Average / Smallest step : 1.053509 Largest / Average step : 1.078268 Largest / Smallest step : 1.135965 Median interval of one step : 242.00000 cents, amount: 2 Most common interval of one step : 242.00000 cents, amount: 2 Least squares average step : 237.94545 cents, oct.: 1189.72727 cents Scale is strictly proper Scale is a mode of a 1201-tone equal temperament with octave 1201.000 cents degrees: 230 458 700 959 1201 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 961 of 961.000 cents and inv. generated superset size: 113 = 108 more = 2260.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDC Step pattern size order : BACDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 199.00000 cents Scale diversity : 1.151442 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.876769 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 : 2.00000 cents Number of recognisable fifths : 2, average 700.0000 cents Number of recognisable fourths : 2, average 501.0000 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 43.0000 cents: 1 4 Limited inverse transpositions with margin 43.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 14.3764 c. M:-22.4000 c. 16: 3 3 3 4 3 SP M ME S SD: 13.8647 c. M: 24.4375 c. 19: 4 3 4 4 4 SP M ME S SD: 13.4337 c. M:-22.8421 c. 21: 4 4 4 5 4 SP M ME S SD: 8.5450 c. M: 13.7143 c. 26: 5 5 5 6 5 SP M ME S SD: 6.1448 c. M:-11.0385 c. 31: 6 6 6 7 6 SP M ME S SD: 5.5106 c. M:-9.5484 c. Slendric-5 36: 7 7 7 8 7 SP M ME S SD: 5.7718 c. M:-9.0556 c. Slendric-5 41: 8 8 8 9 8 SP M ME S SD: 6.3368 c. M:-10.6829 c. Rodan-5 45: 9 8 9 10 9 SP T3 SD: 5.7052 c. M:-10.2000 c. 48: 9 9 10 10 10 SP D3 S SD: 5.4593 c. M: 8.2083 c. 50: 10 9 10 11 10 SP T3 SD: 4.9315 c. M:-10.2000 c. 53: 10 10 11 11 11 SP D3 S SD: 4.3216 c. M: 7.2642 c. 58: 11 11 12 12 12 SP D3 S SD: 3.7214 c. M: 6.4828 c. 63: 12 12 13 13 13 SP D3 S SD: 3.5863 c. M: 5.8254 c. 69: 13 13 14 15 14 SP T3 S SD: 3.4812 c. M: 5.4493 c. 74: 14 14 15 16 15 SP T3 S SD: 2.3268 c. M: 3.5676 c. 79: 15 15 16 17 16 SP T3 S SD: 1.3826 c. M: 1.9620 c. 84: 16 16 17 18 17 SP T3 S SD: 0.8028 c. M: 1.2381 c. 173: 33 33 35 37 35 SP T3 S SD: 0.7952 c. M:-1.1618 c. 189: 36 36 38 41 38 SP T3 S SD: 0.7810 c. M: 1.2381 c. 194: 37 37 39 42 39 SP T3 S SD: 0.5328 c. M: 0.9433 c. 199: 38 38 40 43 40 SP T3 S SD: 0.5003 c. M:-0.6734 c. 278: 53 53 56 60 56 SP T3 S SD: 0.4677 c. M: 1.0324 c. 283: 54 54 57 61 57 SP T3 S SD: 0.4169 c. M: 0.8339 c. 302: 58 57 61 65 61 SP SD: 0.4945 c. M: 0.6656 c. 307: 59 58 62 66 62 SP SD: 0.4707 c. M:-0.8111 c. 328: 63 62 66 71 66 SP SD: 0.4630 c. M:-0.6799 c. 333: 64 63 67 72 67 SP SD: 0.4260 c. M:-0.8228 c. 338: 65 64 68 73 68 SP SD: 0.4909 c. M:-0.9615 c. 367: 70 70 74 79 74 SP T3 S SD: 0.4479 c. M: 0.9264 c. 386: 74 73 78 83 78 SP SD: 0.4309 c. M: 0.6891 c. 391: 75 74 79 84 79 SP SD: 0.3964 c. M: 0.6573 c. 396: 76 75 80 85 80 SP SD: 0.4426 c. M: 0.6263 c. 407: 78 77 82 88 82 SP SD: 0.4066 c. M: 0.6462 c. 412: 79 78 83 89 83 SP SD: 0.2648 c. M: 0.3883 c. 417: 80 79 84 90 84 SP SD: 0.1971 c. M:-0.4077 c. 496: 95 94 100 107 100 SP SD: 0.2000 c. M: 0.3609 c. 501: 96 95 101 108 101 SP SD: 0.0994 c. M: 0.1337 c. 695: 133 132 140 150 140 SP SD: 0.1062 c. M: 0.1683 c. 700: 134 133 141 151 141 SP SD: 0.0711 c. M:-0.0957 c. 1117: 214 212 225 241 225 SP SD: 0.0604 c. M:-0.0931 c. 1196: 229 227 241 258 241 SP SD: 0.0601 c. M: 0.0936 c. 1201: 230 228 242 259 242 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 1.0000 cents 2 x x 3 x 4 S SD: 1.0980 cents 3 x 4 x 5:6 S SD: 28.2369 cents 4 x 5:6:7:8 S SD: 18.0975 cents 5:6 x 8:9:10 S SD: 38.4818 cents 6:7:8:9:10:12 S SD: 18.4816 cents 7:8:9:11:12:14 SD: 17.8905 cents 8:9:10:12:14:16 S SD: 15.3896 cents 10:11:13:15:17:20 SD: 15.3263 cents 12:14:16:18:21:24 S SD: 11.0715 cents 13:15:17:19:23:26 SD: 11.0158 cents 14:16:18:21:24:28 S SD: 6.9301 cents 16:18:21:24:28:32 S SD: 6.1495 cents 20:23:26:30:35:40 SD: 3.2172 cents 30:34:39:45:52:60 SD: 3.1103 cents 34:39:44:51:59:68 SD: 2.9651 cents 36:41:47:54:63:72 SD: 2.3478 cents 42:48:55:63:73:84 SD: 1.8815 cents 50:57:65:75:87:100 SD: 1.0798 cents 70:80:91:105:122:140 SD: 1.0596 cents 92:105:120:138:160:184 SD: 0.6668 cents 112:128:146:168:195:224 SD: 0.5682 cents 155:177:202:232:270:310 SD: 0.5583 cents 162:185:211:243:282:324 SD: 0.4695 cents 169:193:220:253:294:338 SD: 0.4639 cents 205:234:267:307:357:410 SD: 0.4367 cents 211:241:275:316:367:422 SD: 0.3223 cents 261:298:340:391:454:522 SD: 0.2642 cents 281:321:366:421:489:562 SD: 0.2374 cents 373:426:486:559:649:746 SD: 0.2197 cents 492:562:641:737:856:985 SD: 0.1878 cents 528:603:688:791:919:1057 SD: 0.1687 cents 542:619:706:812:943:1085 SD: 0.1507 cents 578:660:753:866:1006:1157 SD: 0.1434 cents 584:667:761:875:1016:1169 SD: 0.1371 cents