Scala analysis: Indonesia_Slendro_01_a
Slendro 1, Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 263.000 cents 263.000000 2: 486.000 cents 486.000000 3: 739.000 cents 739.000000 4: 975.000 cents 975.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 225.0000 cents 225.0000 1: 263.0000 cents 263.0000 2: 223.0000 cents 223.0000 3: 253.0000 cents 253.0000 4: 236.0000 cents 236.0000 5: 225.0000 cents 225.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 223.00000 cents 1: 1 225.00000 cents 1: 1 236.00000 cents 1: 1 253.00000 cents 1: 1 263.00000 cents 2: 1 461.00000 cents 2: 1 476.00000 cents 2: 1 486.00000 cents 2: 1 488.00000 cents 2: 1 489.00000 cents 3: 1 711.00000 cents 3: 1 712.00000 cents 3: 1 714.00000 cents 3: 1 724.00000 cents 3: 1 739.00000 cents 4: 1 937.00000 cents 4: 1 947.00000 cents 4: 1 964.00000 cents 4: 1 975.00000 cents 4: 1 977.00000 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 : 263.0 486.0 739.0 975.0 1200.0 263.0 : 223.0 476.0 712.0 937.0 1200.0 486.0 : 253.0 489.0 714.0 977.0 1200.0 739.0 : 236.0 461.0 724.0 947.0 1200.0 975.0 : 225.0 488.0 711.0 964.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 223.0000 .. 263.0000 cents 40.00000 cents 223.00000 cents 2: 461.0000 .. 489.0000 cents 28.00000 cents 198.00000 cents 3: 711.0000 .. 739.0000 cents 28.00000 cents 222.00000 cents 4: 937.0000 .. 977.0000 cents 40.00000 cents 198.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 223.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 263.00000 cents Average / Smallest step : 1.076233 Largest / Average step : 1.095833 Largest / Smallest step : 1.179372 Median interval of one step : 236.00000 cents, amount: 1 Least squares average step : 242.76364 cents, oct.: 1213.81818 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 263 486 739 975 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 989 of 989.000 cents and inv. generated superset size: 224 = 219 more = 4480.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EADCB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 198.00000 cents Scale diversity : 1.142874 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.886667 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 : 3, average 712.3333 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 40.0000 cents: 2 3 4 Limited inverse transpositions with margin 40.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 15.1723 c. M: 23.0000 c. 18: 4 3 4 4 3 SP M ME S SD: 14.4522 c. M:-25.0000 c. 22: 5 4 5 4 4 SP M ME S SD: 12.4270 c. M:-24.6364 c. 23: 5 4 5 5 4 SP M ME S SD: 11.0800 c. M: 16.4348 c. 27: 6 5 6 5 5 SP M ME S SD: 7.7922 c. M:-16.5556 c. 28: 6 5 6 6 5 SP M ME S SD: 9.6973 c. M: 14.5714 c. 31: 7 6 6 6 6 SP M ME S SD: 9.2223 c. M:-17.2258 c. Wonder-5 32: 7 6 7 6 6 SP M ME S SD: 4.9699 c. M:-11.0000 c. 37: 8 7 8 7 7 SP M ME S SD: 3.6091 c. M:-6.9459 c. 42: 9 8 9 8 8 SP M ME S SD: 3.5219 c. M: 5.8571 c. 54: 12 10 11 11 10 SP D3 S SD: 3.5105 c. M: 5.6667 c. 59: 13 11 12 12 11 SP D3 S SD: 3.2970 c. M: 6.7966 c. 64: 14 12 13 13 12 SP D3 S SD: 3.5373 c. M: 7.7500 c. 70: 15 13 15 14 13 SP T3 SD: 3.9585 c. M: 6.0000 c. 73: 16 14 15 14 14 SP T3 SD: 3.9509 c. M:-7.1507 c. 75: 16 14 16 15 14 SP T3 SD: 4.3589 c. M: 7.0000 c. 76: 17 14 16 15 14 SP SD: 3.6518 c. M:-5.4211 c. 79: 17 15 17 15 15 SP M DE S SD: 3.4357 c. M:-5.3038 c. 81: 18 15 17 16 15 SP SD: 2.5509 c. M:-3.6667 c. 86: 19 16 18 17 16 SP SD: 1.6391 c. M:-2.3721 c. 91: 20 17 19 18 17 SP SD: 1.0166 c. M:-1.9121 c. 96: 21 18 20 19 18 SP SD: 0.9747 c. M: 1.5000 c. 133: 29 25 28 26 25 SP SD: 0.9311 c. M: 1.3459 c. 187: 41 35 39 37 35 SP SD: 0.9086 c. M:-1.7005 c. 214: 47 40 45 42 40 SP SD: 1.0610 c. M:-1.8505 c. 219: 48 41 46 43 41 SP SD: 0.8292 c. M:-1.6712 c. 224: 49 42 47 44 42 SP SD: 0.7186 c. M:-1.5000 c. 229: 50 43 48 45 43 SP SD: 0.7608 c. M:-1.3362 c. 250: 55 46 53 49 47 SP SD: 0.7537 c. M: 1.2000 c. 252: 55 47 53 50 47 SP SD: 0.8387 c. M:-1.1905 c. 255: 56 47 54 50 48 SP SD: 0.7436 c. M: 1.2941 c. 260: 57 48 55 51 49 SP SD: 0.8419 c. M: 1.3846 c. 265: 58 49 56 52 50 SP SD: 1.0083 c. M: 1.4717 c. 274: 60 51 58 54 51 SP SD: 0.9032 c. M:-1.6423 c. 279: 61 52 59 55 52 SP SD: 0.7518 c. M:-1.3441 c. 284: 62 53 60 56 53 SP SD: 0.6886 c. M:-1.0563 c. 336: 74 62 71 66 63 SP SD: 0.6027 c. M:-1.2857 c. 341: 75 63 72 67 64 SP SD: 0.4581 c. M:-0.9296 c. 346: 76 64 73 68 65 SP SD: 0.4015 c. M:-0.5838 c. 351: 77 65 74 69 66 SP SD: 0.4567 c. M: 0.6410 c. 378: 83 70 80 74 71 SP SD: 0.4352 c. M:-0.6825 c. 383: 84 71 81 75 72 SP SD: 0.3716 c. M: 0.5875 c. 388: 85 72 82 76 73 SP SD: 0.4072 c. M: 0.7732 c. 432: 95 80 91 85 81 SP SD: 0.4037 c. M:-0.8889 c. 437: 96 81 92 86 82 SP SD: 0.3216 c. M:-0.6156 c. 442: 97 82 93 87 83 SP SD: 0.3247 c. M: 0.5385 c. 469: 103 87 99 92 88 SP SD: 0.3271 c. M:-0.5394 c. 474: 104 88 100 93 89 SP SD: 0.2229 c. M: 0.3165 c. 479: 105 89 101 94 90 SP SD: 0.2120 c. M: 0.4697 c. 570: 125 106 120 112 107 SP SD: 0.1983 c. M:-0.3158 c. 630: 138 117 133 124 118 SP SD: 0.1794 c. M: 0.2857 c. 716: 157 133 151 141 134 SP SD: 0.2022 c. M:-0.4190 c. 721: 158 134 152 142 135 SP SD: 0.1408 c. M:-0.3121 c. 726: 159 135 153 143 136 SP SD: 0.1456 c. M:-0.2066 c. 1067: 234 198 225 210 200 SP SD: 0.1161 c. M:-0.1678 c. 1072: 235 199 226 211 201 SP SD: 0.1211 c. M: 0.1940 c. 1104: 242 205 233 217 207 SP SD: 0.0848 c. M: 0.1304 c. 1109: 243 206 234 218 208 SP SD: 0.0834 c. M: 0.1569 c. 1195: 262 222 252 235 224 SP SD: 0.0635 c. M:-0.0962 c. 1200: 263 223 253 236 225 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: 18.5225 cents 3 x 4 x 5:6 S SD: 30.4794 cents 4 x 5:6:7:8 S SD: 26.6315 cents 6:7:8:9:11:12 SD: 16.8074 cents 10:12:13:15:18:20 SD: 16.6952 cents 11:13:15:17:19:22 SD: 13.1559 cents 12:14:16:18:21:24 S SD: 7.9260 cents 13:15:17:20:23:26 SD: 6.0224 cents 19:22:25:29:33:38 SD: 4.9853 cents 24:28:32:37:42:48 SD: 3.4992 cents 25:29:33:38:44:50 SD: 3.3353 cents 30:35:40:46:53:60 SD: 3.2610 cents 36:42:48:55:63:72 SD: 3.0070 cents 37:43:49:57:65:74 SD: 1.9139 cents 49:57:65:75:86:98 SD: 0.8281 cents 86:100:114:132:151:172 SD: 0.7786 cents 111:129:147:170:195:222 SD: 0.6129 cents 139:162:184:213:244:278 SD: 0.4603 cents 176:205:233:270:309:352 SD: 0.4466 cents 188:219:249:288:330:376 SD: 0.3453 cents 201:234:266:308:353:402 SD: 0.1895 cents 250:291:331:383:439:500 SD: 0.1156 cents 475:553:629:728:834:950 SD: 0.1146 cents 537:625:711:823:943:1074 SD: 0.0778 cents