Scala analysis: Indonesia_Landung_b
Landung (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: 219.000 cents 219.000000 2: 467.000 cents 467.000000 3: 714.000 cents 714.000000 4: 956.000 cents 956.000000 5: 1231.000 cents 1231.000000
SHOW/INTERVAL
0: 275.0000 cents 275.0000 1: 219.0000 cents 219.0000 2: 248.0000 cents 248.0000 3: 247.0000 cents 247.0000 4: 242.0000 cents 242.0000 5: 275.0000 cents 275.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 219.00000 cents 1: 1 242.00000 cents 1: 1 247.00000 cents 1: 1 248.00000 cents 1: 1 275.00000 cents 2: 1 467.00000 cents 2: 1 489.00000 cents 2: 1 494.00000 cents 2: 1 495.00000 cents 2: 1 517.00000 cents 3: 1 714.00000 cents 3: 1 736.00000 cents 3: 1 737.00000 cents 3: 1 742.00000 cents 3: 1 764.00000 cents 4: 1 956.00000 cents 4: 1 983.00000 cents 4: 1 984.00000 cents 4: 1 989.00000 cents 4: 1 1012.00000 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 : 219.0 467.0 714.0 956.0 1231.0 219.0 : 248.0 495.0 737.0 1012.0 1231.0 467.0 : 247.0 489.0 764.0 983.0 1231.0 714.0 : 242.0 517.0 736.0 984.0 1231.0 956.0 : 275.0 494.0 742.0 989.0 1231.0 1231.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 219.0000 .. 275.0000 cents 56.00000 cents 219.00000 cents 2: 467.0000 .. 517.0000 cents 50.00000 cents 192.00000 cents 3: 714.0000 .. 764.0000 cents 50.00000 cents 197.00000 cents 4: 956.0000 .. 1012.0000 cents 56.00000 cents 192.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 219.00000 cents, class 1 Average step (divided formal octave): 246.2000 cents Largest one step interval : 275.00000 cents Average / Smallest step : 1.124201 Largest / Average step : 1.116978 Largest / Smallest step : 1.255708 Median interval of one step : 247.00000 cents, amount: 1 Least squares average step : 241.34545 cents, oct.: 1206.72727 cents Scale is strictly proper Scale is a mode of a 1231-tone equal temperament with octave 1231.000 cents degrees: 219 467 714 956 1231 Least number of segments generator : 616 of 616.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 985 of 985.000 cents and inv. generated superset size: 145 = 140 more = 2900.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ADCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 192.00000 cents Scale diversity : 1.176970 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.827782 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 : 1, average 714.0000 cents Number of recognisable fourths : 3, average 492.6667 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 inverse transpositions with margin 33.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 23.7470 c. M:-28.8000 c. 16: 3 3 3 3 4 SP M ME S SD: 18.4712 c. M: 32.7500 c. 17: 3 3 4 3 4 SP M ME S SD: 16.6023 c. M: 32.5294 c. Seventeen-tone Major Pentatonic 18: 3 4 3 4 4 SP M ME S SD: 15.7324 c. M: 30.1111 c. 19: 3 4 4 4 4 SP M ME S SD: 14.4288 c. M: 24.6316 c. Godzilla-5 21: 4 4 4 4 5 SP M ME S SD: 11.6835 c. M: 18.0952 c. 22: 4 4 5 4 5 SP M ME S SD: 10.9613 c. M: 19.3636 c. 24: 4 5 5 5 5 SP M ME S SD: 10.7770 c. M:-18.5417 c. Godzilla-5 26: 5 5 5 5 6 SP M ME S SD: 9.5186 c. M:-17.7308 c. 27: 5 5 6 5 6 SP M ME S SD: 9.4311 c. M:-15.4815 c. 34: 6 7 7 6 8 SP D3 S SD: 8.1674 c. M: 14.6471 c. 35: 6 7 7 7 8 SP T3 SD: 7.8914 c. M: 10.5714 c. 39: 7 8 8 7 9 SP D3 S SD: 7.3665 c. M:-11.9744 c. 40: 7 8 8 8 9 SP T3 SD: 4.0915 c. M: 6.1750 c. 45: 8 9 9 9 10 SP T3 SD: 1.6449 c. M: 2.7556 c. 95: 17 19 19 19 21 SP T3 SD: 1.5469 c. M:-2.8842 c. 124: 22 25 25 24 28 SP SD: 1.4094 c. M: 2.9677 c. 129: 23 26 26 25 29 SP SD: 1.1380 c. M: 1.7364 c. 169: 30 34 34 33 38 SP SD: 0.9108 c. M: 1.7929 c. 174: 31 35 35 34 39 SP SD: 0.4975 c. M: 0.9138 c. 219: 39 44 44 43 49 SP SD: 0.3028 c. M: 0.4566 c. 443: 79 89 89 87 99 SP SD: 0.2580 c. M:-0.5237 c. 590: 105 119 118 116 132 SP SD: 0.3152 c. M: 0.4373 c. 591: 105 119 119 116 132 SP SD: 0.3050 c. M:-0.4382 c. 614: 109 124 123 121 137 SP SD: 0.2881 c. M: 0.4674 c. 617: 110 124 124 121 138 SP SD: 0.2867 c. M:-0.4652 c. 640: 114 129 128 126 143 SP SD: 0.2816 c. M: 0.4047 c. 641: 114 129 129 126 143 SP SD: 0.2901 c. M:-0.4025 c. 662: 118 133 133 130 148 SP SD: 0.2423 c. M:-0.4230 c. 698: 124 141 140 137 156 SP SD: 0.2485 c. M:-0.3567 c. 738: 131 149 148 145 165 SP SD: 0.2445 c. M: 0.4892 c. 743: 132 150 149 146 166 SP SD: 0.1707 c. M: 0.3028 c. 788: 140 159 158 155 176 SP SD: 0.1450 c. M: 0.2944 c. 793: 141 160 159 156 177 SP SD: 0.1672 c. M:-0.2522 c. 838: 149 169 168 165 187 SP SD: 0.1614 c. M:-0.3019 c. 917: 163 185 184 180 205 SP SD: 0.1597 c. M: 0.1963 c. 962: 171 194 193 189 215 SP SD: 0.1031 c. M: 0.1840 c. 967: 172 195 194 190 216 SP SD: 0.1145 c. M:-0.1944 c. 1007: 179 203 202 198 225 SP SD: 0.0952 c. M: 0.1827 c. 1012: 180 204 203 199 226 SP SD: 0.0655 c. M:-0.0988 c. 1186: 211 239 238 233 265 SP SD: 0.0624 c. M:-0.1046 c. 1231: 219 248 247 242 275 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 31.0000 cents 2 x x 3 x 4 S SD: 16.6289 cents 3 x 4 x 5:6 S SD: 28.0025 cents 4 x 5:6:7:8 S SD: 22.0523 cents 6:7:8:9:10:12 S SD: 19.4874 cents 7:8:9:11:12:14 SD: 17.1372 cents 10:11:13:15:17:20 SD: 14.9409 cents 12:14:16:18:21:24 S SD: 13.4551 cents 13:15:17:20:23:26 SD: 12.3481 cents 14:16:18:21:24:29 SD: 10.4310 cents 15:17:20:23:26:31 SD: 9.6403 cents 16:18:21:24:28:33 SD: 6.4736 cents 22:25:29:33:38:45 SD: 4.1753 cents 23:26:30:35:40:47 SD: 3.4820 cents 29:33:38:44:50:59 SD: 3.1782 cents 39:44:51:59:68:79 SD: 3.0925 cents 45:51:59:68:78:92 SD: 1.7133 cents 61:69:80:92:106:124 SD: 1.4588 cents 80:91:105:121:139:163 SD: 1.2252 cents 88:100:115:133:153:179 SD: 1.0140 cents 104:118:136:157:181:212 SD: 0.9471 cents 110:125:144:166:191:224 SD: 0.5972 cents 133:151:174:201:231:271 SD: 0.5008 cents 171:194:224:258:297:348 SD: 0.4515 cents 194:220:254:293:337:395 SD: 0.2727 cents 274:311:359:414:476:558 SD: 0.2085 cents 304:345:398:459:528:619 SD: 0.1852 cents 423:480:554:639:735:861 SD: 0.1608 cents 445:505:583:672:773:906 SD: 0.1536 cents 468:531:613:707:813:953 SD: 0.1068 cents 578:656:757:873:1004:1177 SD: 0.0530 cents