Scala analysis: Indonesia_Slendro_01_b
Slendro 1 (Gambang and Saron and Slentem), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 228.000 cents 228.000000 2: 484.000 cents 484.000000 3: 728.000 cents 728.000000 4: 960.000 cents 960.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 240.0000 cents 240.0000 1: 228.0000 cents 228.0000 2: 256.0000 cents 256.0000 3: 244.0000 cents 244.0000 4: 232.0000 cents 232.0000 5: 240.0000 cents 240.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 228.00000 cents 1: 1 232.00000 cents 1: 1 240.00000 cents 1: 1 244.00000 cents 1: 1 256.00000 cents 2: 1 468.00000 cents 2: 1 472.00000 cents 2: 1 476.00000 cents 2: 1 484.00000 cents 2: 1 500.00000 cents 3: 1 700.00000 cents 3: 1 716.00000 cents 3: 1 724.00000 cents 3: 1 728.00000 cents 3: 1 732.00000 cents 4: 1 944.00000 cents 4: 1 956.00000 cents 4: 1 960.00000 cents 4: 1 968.00000 cents 4: 1 972.00000 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 : 228.0 484.0 728.0 960.0 1200.0 228.0 : 256.0 500.0 732.0 972.0 1200.0 484.0 : 244.0 476.0 716.0 944.0 1200.0 728.0 : 232.0 472.0 700.0 956.0 1200.0 960.0 : 240.0 468.0 724.0 968.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 228.0000 .. 256.0000 cents 28.00000 cents 228.00000 cents 2: 468.0000 .. 500.0000 cents 32.00000 cents 212.00000 cents 3: 700.0000 .. 732.0000 cents 32.00000 cents 200.00000 cents 4: 944.0000 .. 972.0000 cents 28.00000 cents 212.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 228.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 256.00000 cents Average / Smallest step : 1.052632 Largest / Average step : 1.066667 Largest / Smallest step : 1.122807 Median interval of one step : 240.00000 cents, amount: 1 Least squares average step : 240.36364 cents, oct.: 1201.81818 cents Scale is strictly proper Scale is a mode of a 300-tone equal temperament with octave 1200.000 cents degrees: 57 121 182 240 300 Least number of segments generator : 151 of 604.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 209 of 836.000 cents and inv. generated superset size: 92 = 87 more = 1840.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : AEDBC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 200.00000 cents Scale diversity : 1.126258 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.900000 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 708.0000 cents Number of appreciable fifths : 1, average 700.0000 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% Limited transpositions with margin 28.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 28.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 6.6933 c. M:-12.0000 c. 38: 7 8 8 7 8 SP M ME S SD: 7.9634 c. M: 12.6316 c. 41: 8 9 8 8 8 SP M ME S SD: 7.3442 c. M:-13.5610 c. 43: 8 9 9 8 9 SP M ME S SD: 6.9967 c. M: 11.1628 c. 44: 8 10 9 8 9 SP T3 SD: 6.9833 c. M: 9.8182 c. 46: 9 10 9 9 9 SP M ME S SD: 6.5563 c. M:-11.6522 c. 48: 9 10 10 9 10 SP M ME S SD: 6.3087 c. M: 10.0000 c. 49: 9 11 10 9 10 SP T3 SD: 5.6573 c. M: 7.5918 c. 51: 10 11 10 10 10 SP M ME S SD: 5.9952 c. M:-10.1176 c. 53: 10 11 11 10 11 SP M ME S SD: 5.8193 c. M: 9.0566 c. 54: 10 12 11 10 11 SP T3 SD: 4.5931 c. M: 5.7778 c. 58: 11 12 12 11 12 SP M ME S SD: 5.4736 c. M: 8.2759 c. 59: 11 13 12 11 12 SP T3 SD: 3.7299 c. M: 4.2712 c. 64: 12 14 13 12 13 SP T3 SD: 3.0290 c. M: 3.7500 c. 69: 13 15 14 13 14 SP T3 SD: 2.4669 c. M: 3.4783 c. 74: 14 16 15 14 15 SP T3 SD: 2.0317 c. M: 3.2432 c. 79: 15 17 16 15 16 SP T3 SD: 1.7206 c. M: 3.0380 c. 84: 16 18 17 16 17 SP T3 SD: 1.5333 c. M: 2.8571 c. 89: 17 19 18 17 18 SP T3 SD: 1.4624 c. M: 2.6966 c. 94: 18 20 19 18 19 SP T3 SD: 1.4868 c. M: 2.5532 c. 99: 19 21 20 19 20 SP T3 SD: 1.5767 c. M: 2.4242 c. 173: 33 37 35 33 35 SP T3 SD: 1.4843 c. M: 2.7746 c. 179: 34 38 37 34 36 SP SD: 1.4814 c. M:-2.7263 c. 180: 34 39 36 35 36 SP SD: 1.4606 c. M:-2.6667 c. 181: 34 39 37 35 36 SP SD: 1.4204 c. M: 2.5856 c. 184: 35 39 38 35 37 SP SD: 1.3880 c. M:-2.4348 c. 185: 35 40 37 36 37 SP SD: 1.3726 c. M:-2.4865 c. 186: 35 40 38 36 37 SP SD: 1.2295 c. M: 2.1935 c. 189: 36 40 39 36 38 SP SD: 1.3215 c. M:-2.1587 c. 190: 36 41 38 37 38 SP SD: 1.3114 c. M:-2.3158 c. 191: 36 41 39 37 38 SP SD: 1.0569 c. M: 1.8220 c. 196: 37 42 40 38 39 SP SD: 0.9046 c. M: 1.4694 c. 201: 38 43 41 39 40 SP SD: 0.7766 c. M:-1.1940 c. 206: 39 44 42 40 41 SP SD: 0.6784 c. M:-1.1650 c. 211: 40 45 43 41 42 SP SD: 0.6169 c. M:-1.1374 c. 216: 41 46 44 42 43 SP SD: 0.5963 c. M:-1.1111 c. 221: 42 47 45 43 44 SP SD: 0.6151 c. M:-1.0860 c. 226: 43 48 46 44 45 SP SD: 0.6653 c. M:-1.0619 c. 231: 44 49 47 45 46 SP SD: 0.7369 c. M:-1.0390 c. 236: 45 50 48 46 47 SP SD: 0.8214 c. M:-1.0169 c. 270: 51 58 55 52 54 SP SD: 0.7437 c. M: 1.3333 c. 275: 52 59 56 53 55 SP SD: 0.6085 c. M: 1.0909 c. 280: 53 60 57 54 56 SP SD: 0.4781 c. M: 0.8571 c. 285: 54 61 58 55 57 SP SD: 0.3523 c. M: 0.6316 c. 290: 55 62 59 56 58 SP SD: 0.2308 c. M: 0.4138 c. 295: 56 63 60 57 59 SP SD: 0.1134 c. M: 0.2034 c. 300: 57 64 61 58 60 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 13.0225 cents 3 x 4 x 5:6 S SD: 25.6447 cents 4 x 5:6:7:8 S SD: 25.3708 cents 6:7:8:9:10:12 S SD: 18.0091 cents 7:8:9:11:12:14 SD: 15.6132 cents 8:9:11:12:14:16 SD: 15.3209 cents 9:10:12:14:16:18 S SD: 14.0592 cents 12:14:16:18:21:24 S SD: 9.9286 cents 13:15:17:20:23:26 SD: 8.6232 cents 15:17:20:23:26:30 SD: 4.6014 cents 27:31:36:41:47:54 SD: 3.7161 cents 28:32:37:43:49:56 SD: 3.4987 cents 34:39:45:52:59:68 SD: 2.7068 cents 44:50:58:67:77:88 SD: 2.4949 cents 50:57:66:76:87:100 SD: 0.9695 cents 65:74:86:99:113:130 SD: 0.8885 cents 105:120:139:160:183:210 SD: 0.8314 cents 115:131:152:175:200:230 SD: 0.7054 cents 128:146:169:195:223:256 SD: 0.6486 cents 136:155:180:207:237:272 SD: 0.5345 cents 143:163:189:218:249:286 SD: 0.5345 cents 155:177:205:236:270:310 SD: 0.3939 cents 170:194:225:259:296:340 SD: 0.3357 cents 205:234:271:312:357:410 SD: 0.3281 cents 220:251:291:335:383:440 SD: 0.0730 cents