Scala analysis: Indonesia_Slendro_04
Slendro 4 (Saron), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 270.000 cents 270.000000 2: 470.000 cents 470.000000 3: 736.000 cents 736.000000 4: 975.000 cents 975.000000 5: 1218.000 cents 1218.000000
SHOW/INTERVAL
0: 243.0000 cents 243.0000 1: 270.0000 cents 270.0000 2: 200.0000 cents 200.0000 3: 266.0000 cents 266.0000 4: 239.0000 cents 239.0000 5: 243.0000 cents 243.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 200.00000 cents 1: 1 239.00000 cents 1: 1 243.00000 cents 1: 1 266.00000 cents 1: 1 270.00000 cents 2: 1 466.00000 cents 2: 1 470.00000 cents 2: 1 482.00000 cents 2: 1 505.00000 cents 2: 1 513.00000 cents 3: 1 705.00000 cents 3: 1 713.00000 cents 3: 1 736.00000 cents 3: 1 748.00000 cents 3: 1 752.00000 cents 4: 1 948.00000 cents 4: 1 952.00000 cents 4: 1 975.00000 cents 4: 1 979.00000 cents 4: 1 1018.00000 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 : 270.0 470.0 736.0 975.0 1218.0 270.0 : 200.0 466.0 705.0 948.0 1218.0 470.0 : 266.0 505.0 748.0 1018.0 1218.0 736.0 : 239.0 482.0 752.0 952.0 1218.0 975.0 : 243.0 513.0 713.0 979.0 1218.0 1218.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 200.0000 .. 270.0000 cents 70.00000 cents 200.00000 cents 2: 466.0000 .. 513.0000 cents 47.00000 cents 196.00000 cents 3: 705.0000 .. 752.0000 cents 47.00000 cents 192.00000 cents 4: 948.0000 .. 1018.0000 cents 70.00000 cents 196.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 200.00000 cents, class 1 Average step (divided formal octave): 243.6000 cents Largest one step interval : 270.00000 cents Average / Smallest step : 1.218000 Largest / Average step : 1.108374 Largest / Smallest step : 1.350000 Median interval of one step : 243.00000 cents, amount: 1 Least squares average step : 243.78182 cents, oct.: 1218.90909 cents Scale is strictly proper Scale is a mode of a 1218-tone equal temperament with octave 1218.000 cents degrees: 270 470 736 975 1218 Least number of segments generator : 611 of 611.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1171 of 1171.000 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 : EADBC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 192.00000 cents Scale diversity : 1.223669 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.807882 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 : 2, average 709.0000 cents Number of recognisable fourths : 3, average 500.0000 cents Number of appreciable fourths : 1, average 505.0000 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 70.0000 cents: 3 Limited inverse transpositions with margin 70.0000 cents: 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 14.2843 c. M: 26.4000 c. 18: 4 3 4 3 4 SP M ME I SD: 13.0290 c. M: 27.6667 c. 21: 5 3 5 4 4 SP D3 S SD: 13.2740 c. M:-20.0000 c. 23: 5 4 5 4 5 SP M ME I SD: 10.7186 c. M: 21.7826 c. 26: 6 4 6 5 5 SP D3 S SD: 8.7779 c. M:-13.5385 c. 31: 7 5 7 6 6 SP D3 S SD: 6.1773 c. M:-10.5161 c. 36: 8 6 8 7 7 SP D3 S SD: 4.9267 c. M:-8.3333 c. 41: 9 7 9 8 8 SP D3 S SD: 4.6562 c. M:-6.6829 c. 46: 10 8 10 9 9 SP D3 S SD: 4.9399 c. M:-6.6087 c. 50: 11 8 11 10 10 SP T3 S SD: 4.0701 c. M: 7.1600 c. 55: 12 9 12 11 11 SP T3 S SD: 3.7406 c. M: 5.2000 c. 75: 17 12 16 15 15 SP SD: 3.6135 c. M:-6.0800 c. 76: 17 12 17 15 15 SP T3 S SD: 2.8868 c. M: 5.2368 c. 81: 18 13 18 16 16 SP T3 S SD: 2.0852 c. M: 3.8519 c. 86: 19 14 19 17 17 SP T3 S SD: 1.6081 c. M: 2.6279 c. 91: 20 15 20 18 18 SP T3 S SD: 1.5511 c. M: 2.3077 c. 109: 24 18 24 21 22 SP SD: 1.6770 c. M: 2.8349 c. 121: 27 20 26 24 24 SP SD: 1.8010 c. M:-3.1074 c. 135: 30 22 30 26 27 SP SD: 1.7959 c. M:-3.8222 c. 140: 31 23 31 27 28 SP SD: 1.5962 c. M:-3.5000 c. 145: 32 24 32 28 29 SP SD: 1.5620 c. M:-3.2000 c. 159: 35 26 35 31 32 SP SD: 1.7806 c. M: 2.7170 c. 161: 36 26 35 32 32 SP SD: 1.5483 c. M:-2.3478 c. 164: 36 27 36 32 33 SP SD: 1.8051 c. M: 2.6341 c. 166: 37 27 36 33 33 SP SD: 1.2843 c. M: 2.2651 c. 171: 38 28 37 34 34 SP SD: 1.1543 c. M: 2.3509 c. 177: 39 29 39 35 35 SP T3 S SD: 1.5264 c. M:-2.1525 c. 179: 40 29 39 35 36 SP SD: 1.4200 c. M:-2.1788 c. 181: 40 30 39 36 36 SP SD: 1.3143 c. M: 2.5083 c. 184: 41 30 40 36 37 SP SD: 1.1980 c. M: 1.9239 c. 189: 42 31 41 37 38 SP SD: 1.0943 c. M: 1.8889 c. 194: 43 32 42 38 39 SP SD: 1.1194 c. M: 1.8557 c. 195: 43 32 43 38 39 SP SD: 1.0793 c. M: 1.5385 c. 202: 45 33 44 40 40 SP SD: 1.0307 c. M:-1.8119 c. 207: 46 34 45 41 41 SP SD: 0.9260 c. M:-1.7536 c. 220: 49 36 48 43 44 SP SD: 0.7022 c. M:-1.2818 c. 225: 50 37 49 44 45 SP SD: 0.5952 c. M:-0.9600 c. 270: 60 44 59 53 54 SP SD: 0.6312 c. M: 0.8444 c. 275: 61 45 60 54 55 SP SD: 0.5003 c. M: 0.7709 c. 280: 62 46 61 55 56 SP SD: 0.4924 c. M: 0.8500 c. 306: 68 50 67 60 61 SP SD: 0.3795 c. M:-0.6667 c. 311: 69 51 68 61 62 SP SD: 0.1835 c. M:-0.2830 c. 316: 70 52 69 62 63 SP SD: 0.1798 c. M:-0.2405 c. 591: 131 97 129 116 118 SP SD: 0.1501 c. M: 0.2538 c. 627: 139 103 137 123 125 SP SD: 0.1414 c. M:-0.2392 c. 897: 199 147 196 176 179 SP SD: 0.1291 c. M:-0.2140 c. 902: 200 148 197 177 180 SP SD: 0.0630 c. M: 0.0843 c. 907: 201 149 198 178 181 SP SD: 0.0629 c. M: 0.0970 c. 1213: 269 199 265 238 242 SP SD: 0.0589 c. M:-0.1088 c. 1218: 270 200 266 239 243 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 18.0000 cents 2 x x 3 x 4 S SD: 19.2553 cents 3 x 4 x 5:6 S SD: 32.1910 cents 4 x 5:6:7:8 S SD: 23.0822 cents 6:7:8:9:11:12 SD: 17.6740 cents 7:8:9:11:12:14 SD: 16.6916 cents 10:12:13:15:18:20 SD: 15.0064 cents 11:13:14:17:19:22 SD: 13.5488 cents 12:14:16:18:21:24 S SD: 9.6281 cents 13:15:17:20:23:26 SD: 6.6596 cents 17:20:22:26:30:34 SD: 6.5758 cents 19:22:25:29:33:38 SD: 6.3186 cents 23:27:30:35:40:46 SD: 5.8407 cents 25:29:33:38:44:51 SD: 5.2380 cents 28:33:37:43:49:57 SD: 4.9321 cents 29:34:38:44:51:59 SD: 3.8801 cents 36:42:47:55:63:73 SD: 2.5162 cents 41:48:54:63:72:83 SD: 2.2132 cents 42:49:55:64:74:85 SD: 2.0281 cents 58:68:76:89:102:117 SD: 1.7505 cents 70:82:92:107:123:141 SD: 1.5508 cents 77:90:101:118:135:156 SD: 1.2145 cents 83:97:109:127:146:168 SD: 0.8556 cents 106:124:139:162:186:214 SD: 0.6668 cents 147:172:193:225:258:297 SD: 0.5580 cents 160:187:210:245:281:323 SD: 0.5194 cents 183:214:240:280:321:370 SD: 0.5078 cents 189:221:248:289:332:382 SD: 0.2475 cents 279:326:366:427:490:564 SD: 0.2084 cents 385:450:505:589:676:778 SD: 0.1043 cents 468:547:614:716:822:946 SD: 0.0916 cents 574:671:753:878:1008:1160 SD: 0.0817 cents