Scala analysis: Indonesia_Slendro_03
Slendro 3 (Gender), 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: 475.000 cents 475.000000 3: 736.000 cents 736.000000 4: 959.000 cents 959.000000 5: 1247.000 cents 1247.000000
SHOW/INTERVAL
0: 288.0000 cents 288.0000 1: 219.0000 cents 219.0000 2: 256.0000 cents 256.0000 3: 261.0000 cents 261.0000 4: 223.0000 cents 223.0000 5: 288.0000 cents 288.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 219.00000 cents 1: 1 223.00000 cents 1: 1 256.00000 cents 1: 1 261.00000 cents 1: 1 288.00000 cents 2: 1 475.00000 cents 2: 1 484.00000 cents 2: 1 507.00000 cents 2: 1 511.00000 cents 2: 1 517.00000 cents 3: 1 730.00000 cents 3: 1 736.00000 cents 3: 1 740.00000 cents 3: 1 763.00000 cents 3: 1 772.00000 cents 4: 1 959.00000 cents 4: 1 986.00000 cents 4: 1 991.00000 cents 4: 1 1024.00000 cents 4: 1 1028.00000 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 : 219.0 475.0 736.0 959.0 1247.0 219.0 : 256.0 517.0 740.0 1028.0 1247.0 475.0 : 261.0 484.0 772.0 991.0 1247.0 736.0 : 223.0 511.0 730.0 986.0 1247.0 959.0 : 288.0 507.0 763.0 1024.0 1247.0 1247.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 219.0000 .. 288.0000 cents 69.00000 cents 219.00000 cents 2: 475.0000 .. 517.0000 cents 42.00000 cents 187.00000 cents 3: 730.0000 .. 772.0000 cents 42.00000 cents 213.00000 cents 4: 959.0000 .. 1028.0000 cents 69.00000 cents 187.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 219.00000 cents, class 1 Average step (divided formal octave): 249.4000 cents Largest one step interval : 288.00000 cents Average / Smallest step : 1.138813 Largest / Average step : 1.154771 Largest / Smallest step : 1.315068 Median interval of one step : 256.00000 cents, amount: 1 Least squares average step : 244.50909 cents, oct.: 1222.54545 cents Scale is strictly proper Scale is a mode of a 1247-tone equal temperament with octave 1247.000 cents degrees: 219 475 736 959 1247 Least number of segments generator : 624 of 624.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 748 of 748.000 cents and inv. generated superset size: 194 = 189 more = 3880.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ACDBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 187.00000 cents Scale diversity : 1.160899 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.821973 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 : 4.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 3, average 500.6667 cents Number of appreciable fourths : 2, average 509.0000 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 69.0000 cents: 3 Limited inverse transpositions with margin 65.0000 cents: 1 2 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 25.0176 c. M:-38.6000 c. 13: 2 3 3 2 3 SP M ME S SD: 18.6745 c. M:-31.3846 c. 17: 3 3 4 3 4 SP M ME S SD: 15.8322 c. M: 34.8824 c. Seventeen-tone Major Pentatonic 18: 3 4 4 3 4 SP M ME S SD: 14.2902 c. M:-26.0556 c. 21: 4 4 4 4 5 SP M ME S SD: 13.9379 c. M: 23.4286 c. 22: 4 4 5 4 5 SP M ME S SD: 10.4474 c. M: 21.5455 c. 26: 5 5 5 5 6 SP M ME S SD: 12.0757 c. M:-20.8077 c. 27: 5 5 6 5 6 SP M ME S SD: 9.4069 c. M: 13.1481 c. 29: 5 6 6 5 7 SP D3 S SD: 6.5422 c. M: 13.0000 c. 34: 6 7 7 6 8 SP D3 S SD: 2.8189 c. M: 5.4118 c. 39: 7 8 8 7 9 SP D3 S SD: 2.9980 c. M:-4.8205 c. 73: 13 15 15 13 17 SP D3 S SD: 2.3753 c. M:-3.3014 c. 91: 16 19 19 16 21 SP T3 S SD: 2.7292 c. M:-4.6154 c. 92: 16 19 19 17 21 SP SD: 2.5575 c. M: 4.0652 c. 95: 17 19 20 17 22 SP SD: 2.2218 c. M:-4.1474 c. 103: 18 21 22 18 24 SP SD: 2.1019 c. M: 2.8350 c. 108: 19 22 23 19 25 SP SD: 1.5441 c. M:-2.9630 c. 113: 20 23 24 20 26 SP SD: 1.7708 c. M:-3.3717 c. 137: 24 28 29 24 32 SP SD: 1.7589 c. M: 3.2701 c. 139: 24 29 29 25 32 SP SD: 1.7218 c. M: 3.6906 c. 142: 25 29 30 25 33 SP SD: 1.1750 c. M: 1.7958 c. 147: 26 30 31 26 34 SP SD: 1.1566 c. M:-2.0204 c. 178: 31 37 37 32 41 SP SD: 1.0958 c. M: 1.8258 c. 181: 32 37 38 32 42 SP SD: 1.0504 c. M:-1.4641 c. 195: 34 40 41 35 45 SP SD: 1.0997 c. M: 1.7795 c. 200: 35 41 42 36 46 SP SD: 0.8233 c. M:-1.1900 c. 229: 40 47 48 41 53 SP SD: 0.9037 c. M: 1.2489 c. 234: 41 48 49 42 54 SP SD: 0.4835 c. M: 0.7137 c. 268: 47 55 56 48 62 SP SD: 0.4845 c. M: 0.8284 c. 273: 48 56 57 49 63 SP SD: 0.3057 c. M: 0.5897 c. 381: 67 78 80 68 88 SP SD: 0.2947 c. M: 0.4199 c. 415: 73 85 87 74 96 SP SD: 0.2924 c. M: 0.4627 c. 541: 95 111 113 97 125 SP SD: 0.3307 c. M: 0.7079 c. 554: 97 114 116 99 128 SP SD: 0.3026 c. M: 0.6625 c. 559: 98 115 117 100 129 SP SD: 0.2229 c. M: 0.3846 c. 593: 104 122 124 106 137 SP SD: 0.1795 c. M: 0.3019 c. 649: 114 133 136 116 150 SP SD: 0.2118 c. M: 0.4099 c. 654: 115 134 137 117 151 SP SD: 0.1628 c. M:-0.2737 c. 827: 145 170 173 148 191 SP SD: 0.1775 c. M: 0.3603 c. 832: 146 171 174 149 192 SP SD: 0.1458 c. M:-0.2308 c. 866: 152 178 181 155 200 SP SD: 0.1297 c. M:-0.1848 c. 974: 171 200 204 174 225 SP SD: 0.0857 c. M:-0.1653 c. 1013: 178 208 212 181 234 SP SD: 0.1117 c. M:-0.1649 c. 1208: 212 248 253 216 279 SP SD: 0.0968 c. M: 0.1556 c. 1213: 213 249 254 217 280 SP SD: 0.0790 c. M:-0.1517 c. 1247: 219 256 261 223 288 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 47.0000 cents 2 x x 3 x 4 S SD: 29.0175 cents 3 x 4 x 5:6 S SD: 30.3889 cents 4 x 5:6:7:8 S SD: 26.6105 cents 6:7:8:9:10:12 S SD: 21.6906 cents 7:8:9:11:12:14 SD: 16.4697 cents 9:10:12:14:16:18 S SD: 15.8634 cents 12:14:16:18:21:25 SD: 13.6216 cents 13:15:17:20:23:27 SD: 9.3728 cents 15:17:20:23:26:31 SD: 5.2661 cents 22:25:29:34:38:45 SD: 4.7181 cents 23:26:30:35:40:47 SD: 4.2448 cents 32:36:42:49:56:66 SD: 3.9199 cents 35:40:46:54:61:72 SD: 3.8946 cents 36:41:47:55:63:74 SD: 3.5745 cents 38:43:50:58:66:78 SD: 1.4843 cents 66:75:87:101:115:136 SD: 1.3203 cents 73:83:96:112:127:150 SD: 1.2141 cents 89:101:117:136:155:183 SD: 0.5955 cents 111:126:146:170:193:228 SD: 0.5233 cents 149:169:196:228:259:306 SD: 0.4852 cents 162:184:213:248:282:333 SD: 0.4715 cents 200:227:263:306:348:411 SD: 0.1975 cents 304:345:400:465:529:625 SD: 0.1561 cents 415:471:546:635:722:853 SD: 0.1229 cents 504:572:663:771:877:1036 SD: 0.1078 cents