Scala analysis: Indonesia_Prarasrum
Prarasrum (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: 231.000 cents 231.000000 2: 469.000 cents 469.000000 3: 716.000 cents 716.000000 4: 947.000 cents 947.000000 5: 1205.000 cents 1205.000000
SHOW/INTERVAL
0: 258.0000 cents 258.0000 1: 231.0000 cents 231.0000 2: 238.0000 cents 238.0000 3: 247.0000 cents 247.0000 4: 231.0000 cents 231.0000 5: 258.0000 cents 258.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 231.00000 cents 1: 1 238.00000 cents 1: 1 247.00000 cents 1: 1 258.00000 cents 2: 1 469.00000 cents 2: 1 478.00000 cents 2: 1 485.00000 cents 2: 2 489.00000 cents 3: 2 716.00000 cents 3: 1 720.00000 cents 3: 1 727.00000 cents 3: 1 736.00000 cents 4: 1 947.00000 cents 4: 1 958.00000 cents 4: 1 967.00000 cents 4: 2 974.00000 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 : 231.0 469.0 716.0 947.0 1205.0 231.0 : 238.0 485.0 716.0 974.0 1205.0 469.0 : 247.0 478.0 736.0 967.0 1205.0 716.0 : 231.0 489.0 720.0 958.0 1205.0 947.0 : 258.0 489.0 727.0 974.0 1205.0 1205.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 231.0000 .. 258.0000 cents 27.00000 cents 231.00000 cents 2: 469.0000 .. 489.0000 cents 20.00000 cents 211.00000 cents 3: 716.0000 .. 736.0000 cents 20.00000 cents 227.00000 cents 4: 947.0000 .. 974.0000 cents 27.00000 cents 211.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 231.00000 cents, class 1 Average step (divided formal octave): 241.0000 cents Largest one step interval : 258.00000 cents Average / Smallest step : 1.043290 Largest / Average step : 1.070539 Largest / Smallest step : 1.116883 Median interval of one step : 238.00000 cents, amount: 1 Most common interval of one step : 231.00000 cents, amount: 2 Least squares average step : 238.72727 cents, oct.: 1193.63636 cents Scale is strictly proper Scale is a mode of a 1205-tone equal temperament with octave 1205.000 cents degrees: 231 469 716 947 1205 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1017 of 1017.000 cents and inv. generated superset size: 151 = 146 more = 3020.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCAD Step pattern size order : ABCAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 211.00000 cents Scale diversity : 1.092013 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.921992 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 : 4.00000 cents Number of recognisable fifths : 3, average 717.3333 cents Number of appreciable fifths : 0 Number of recognisable fourths : 3, average 487.6667 cents Number of appreciable fourths : 2, average 489.0000 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 27.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 27.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 11.0182 c. M:-17.0000 c. 28: 5 6 6 5 6 SP M ME S SD: 10.1316 c. M: 15.8214 c. 31: 6 6 6 6 7 SP M ME S SD: 9.7631 c. M: 16.3226 c. 32: 6 6 7 6 7 SP M ME S SD: 8.3722 c. M: 17.1250 c. 33: 6 7 7 6 7 SP M ME S SD: 8.7703 c. M:-14.3030 c. 36: 7 7 7 7 8 SP M ME S SD: 7.4546 c. M: 13.0833 c. 37: 7 7 8 7 8 SP M ME S SD: 6.1035 c. M: 13.0541 c. 41: 8 8 8 8 9 SP M ME S SD: 5.8997 c. M: 10.6341 c. 42: 8 8 9 8 9 SP M ME S SD: 4.5358 c. M: 9.9524 c. 46: 9 9 9 9 10 SP M ME S SD: 4.9127 c. M: 8.7174 c. 47: 9 9 10 9 10 SP M ME S SD: 3.5382 c. M: 7.5106 c. 51: 10 10 10 10 11 SP M ME S SD: 4.3712 c. M: 7.1765 c. 52: 10 10 11 10 11 SP M ME S SD: 3.0460 c. M: 5.5385 c. 57: 11 11 12 11 12 SP M ME S SD: 2.9664 c. M:-4.3158 c. 62: 12 12 13 12 13 SP M ME S SD: 3.1509 c. M:-5.3387 c. 67: 13 13 14 13 14 SP M ME S SD: 3.4621 c. M:-6.2090 c. 69: 13 14 14 13 15 SP D3 S SD: 2.7489 c. M: 3.9710 c. 74: 14 15 15 14 16 SP D3 S SD: 2.2928 c. M:-3.2297 c. 79: 15 16 16 15 17 SP D3 S SD: 2.1055 c. M:-3.8481 c. 84: 16 17 17 16 18 SP D3 S SD: 2.1501 c. M:-4.3929 c. 89: 17 18 18 17 19 SP D3 S SD: 2.3472 c. M:-4.8764 c. 93: 18 18 19 18 20 SP T3 SD: 2.1943 c. M: 3.3656 c. 98: 19 19 20 19 21 SP T3 SD: 1.9000 c. M: 2.8367 c. 103: 20 20 21 20 22 SP T3 SD: 1.7841 c. M:-2.9806 c. 111: 21 22 23 21 24 SP SD: 2.0340 c. M: 3.0270 c. 113: 22 22 23 22 24 SP T3 SD: 1.9822 c. M:-3.6018 c. 116: 22 23 24 22 25 SP SD: 1.5448 c. M: 2.4655 c. 121: 23 24 25 23 26 SP SD: 1.1488 c. M: 1.9504 c. 126: 24 25 26 24 27 SP SD: 0.8909 c. M: 1.4762 c. 131: 25 26 27 25 28 SP SD: 0.8345 c. M:-1.4809 c. 136: 26 27 28 26 29 SP SD: 0.9691 c. M:-1.6838 c. 172: 33 34 35 33 37 SP SD: 0.8538 c. M: 1.4070 c. 177: 34 35 36 34 38 SP SD: 0.7259 c. M: 1.1695 c. 182: 35 36 37 35 39 SP SD: 0.7273 c. M:-1.0824 c. 219: 42 43 45 42 47 SP SD: 0.7180 c. M: 1.3059 c. 224: 43 44 46 43 48 SP SD: 0.5295 c. M: 0.9866 c. 229: 44 45 47 44 49 SP SD: 0.4252 c. M: 0.6812 c. 298: 57 59 61 57 64 SP SD: 0.4409 c. M: 0.7919 c. 303: 58 60 62 58 65 SP SD: 0.3046 c. M: 0.4983 c. 308: 59 61 63 59 66 SP SD: 0.2483 c. M:-0.4805 c. 360: 69 71 74 69 77 SP SD: 0.2514 c. M: 0.3889 c. 527: 101 104 108 101 113 SP SD: 0.2511 c. M: 0.3776 c. 532: 102 105 109 102 114 SP SD: 0.1597 c. M: 0.2481 c. 537: 103 106 110 103 115 SP SD: 0.1018 c. M: 0.1806 c. 663: 127 131 136 127 142 SP SD: 0.1048 c. M: 0.1780 c. 668: 128 132 137 128 143 SP SD: 0.0818 c. M:-0.1452 c. 1195: 229 236 245 229 256 SP SD: 0.0922 c. M: 0.1423 c. 1200: 230 237 246 230 257 SP SD: 0.0459 c. M: 0.0708 c. 1205: 231 238 247 231 258 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 5.0000 cents 2 x x 3 x 4 S SD: 7.4542 cents 3 x 4 x 5:6 S SD: 23.0761 cents 4 x 5:6:7:8 S SD: 21.7020 cents 6:7:8:9:10:12 S SD: 15.8449 cents 7:8:9:11:12:14 SD: 15.2170 cents 10:11:13:15:17:20 SD: 14.9673 cents 12:14:16:18:21:24 S SD: 10.6376 cents 13:15:17:20:22:26 SD: 10.0489 cents 14:16:18:21:24:28 S SD: 7.9120 cents 16:18:21:24:28:32 S SD: 7.5781 cents 19:22:25:29:33:38 SD: 6.0572 cents 22:25:29:33:38:44 SD: 4.0127 cents 29:33:38:44:50:58 SD: 2.2631 cents 49:56:64:74:85:98 SD: 2.1762 cents 55:63:72:83:95:110 SD: 1.5843 cents 70:80:92:106:121:140 SD: 1.3851 cents 84:96:110:127:145:168 SD: 1.1550 cents 106:121:139:160:183:213 SD: 1.0276 cents 113:129:148:171:195:227 SD: 0.9128 cents 119:136:156:180:206:239 SD: 0.7625 cents 125:143:164:189:216:251 SD: 0.5867 cents 148:169:194:224:256:297 SD: 0.5479 cents 154:176:202:233:266:309 SD: 0.3053 cents 309:353:405:467:534:620 SD: 0.2874 cents 328:375:430:496:567:658 SD: 0.2157 cents 357:408:468:540:617:716 SD: 0.1243 cents 511:584:670:773:883:1025 SD: 0.1223 cents 533:609:699:806:921:1069 SD: 0.0976 cents