Scala analysis: Indonesia_Gam_GPH_Tedjakusuma
Gam. GPH Tedjakusuma (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: 236.000 cents 236.000000 2: 463.000 cents 463.000000 3: 723.000 cents 723.000000 4: 956.000 cents 956.000000 5: 1225.000 cents 1225.000000
SHOW/INTERVAL
0: 269.0000 cents 269.0000 1: 236.0000 cents 236.0000 2: 227.0000 cents 227.0000 3: 260.0000 cents 260.0000 4: 233.0000 cents 233.0000 5: 269.0000 cents 269.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 227.00000 cents 1: 1 233.00000 cents 1: 1 236.00000 cents 1: 1 260.00000 cents 1: 1 269.00000 cents 2: 1 463.00000 cents 2: 1 487.00000 cents 2: 1 493.00000 cents 2: 1 502.00000 cents 2: 1 505.00000 cents 3: 1 720.00000 cents 3: 1 723.00000 cents 3: 1 732.00000 cents 3: 1 738.00000 cents 3: 1 762.00000 cents 4: 1 956.00000 cents 4: 1 965.00000 cents 4: 1 989.00000 cents 4: 1 992.00000 cents 4: 1 998.00000 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 : 236.0 463.0 723.0 956.0 1225.0 236.0 : 227.0 487.0 720.0 989.0 1225.0 463.0 : 260.0 493.0 762.0 998.0 1225.0 723.0 : 233.0 502.0 738.0 965.0 1225.0 956.0 : 269.0 505.0 732.0 992.0 1225.0 1225.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 227.0000 .. 269.0000 cents 42.00000 cents 227.00000 cents 2: 463.0000 .. 505.0000 cents 42.00000 cents 194.00000 cents 3: 720.0000 .. 762.0000 cents 42.00000 cents 215.00000 cents 4: 956.0000 .. 998.0000 cents 42.00000 cents 194.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 227.00000 cents, class 1 Average step (divided formal octave): 245.0000 cents Largest one step interval : 269.00000 cents Average / Smallest step : 1.079295 Largest / Average step : 1.097959 Largest / Smallest step : 1.185022 Median interval of one step : 236.00000 cents, amount: 1 Least squares average step : 241.45455 cents, oct.: 1207.27273 cents Scale is strictly proper Scale is a mode of a 1225-tone equal temperament with octave 1225.000 cents degrees: 236 463 723 956 1225 Least number of segments generator : 613 of 613.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 881 of 881.000 cents and inv. generated superset size: 298 = 293 more = 5960.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CADBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 194.00000 cents Scale diversity : 1.139940 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.862857 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 : 3.00000 cents Number of recognisable fifths : 1, average 720.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 4, average 496.7500 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 42.0000 cents: 1 3 Limited inverse transpositions with margin 42.0000 cents: 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 17.4929 c. M:-27.0000 c. 14: 3 2 3 3 3 SP M ME S SD: 19.6150 c. M:-26.5000 c. 17: 3 3 4 3 4 SP M ME S SD: 18.4826 c. M: 30.6471 c. Seventeen-tone Major Pentatonic 19: 4 3 4 4 4 SP M ME S SD: 13.6336 c. M:-21.8947 c. 22: 4 4 5 4 5 SP M ME S SD: 10.7078 c. M: 17.5455 c. 26: 5 5 5 5 6 SP M ME S SD: 10.1866 c. M: 16.2692 c. 27: 5 5 6 5 6 SP M ME S SD: 6.1490 c. M: 9.2963 c. 32: 6 6 7 6 7 SP M ME S SD: 3.8189 c. M: 6.3125 c. 37: 7 7 8 7 8 SP M ME S SD: 3.5859 c. M:-5.3784 c. 58: 11 11 12 11 13 SP T3 SD: 3.7740 c. M: 5.5690 c. 63: 12 12 13 12 14 SP T3 SD: 2.9523 c. M:-3.6667 c. 68: 13 13 14 13 15 SP T3 SD: 2.8124 c. M:-5.3824 c. 88: 17 16 19 17 19 SP T3 SD: 2.6328 c. M:-4.5114 c. 90: 17 17 19 17 20 SP T3 SD: 2.6188 c. M: 4.6111 c. 95: 18 18 20 18 21 SP T3 SD: 2.0316 c. M: 3.8947 c. 100: 19 19 21 19 22 SP T3 SD: 1.8507 c. M: 3.2500 c. 108: 21 20 23 20 24 SP SD: 2.3642 c. M: 3.2222 c. 109: 21 20 23 21 24 SP SD: 1.9696 c. M: 3.7339 c. 114: 22 21 24 22 25 SP SD: 1.4449 c. M: 3.0439 c. 119: 23 22 25 23 26 SP SD: 1.2874 c. M: 2.4118 c. 124: 24 23 26 24 27 SP SD: 1.5111 c. M:-2.2661 c. 141: 27 26 30 27 31 SP SD: 1.5619 c. M: 2.5390 c. 146: 28 27 31 28 32 SP SD: 1.0734 c. M: 1.5274 c. 151: 29 28 32 29 33 SP SD: 0.8356 c. M:-1.2848 c. 249: 48 46 53 47 55 SP SD: 0.7569 c. M: 1.5823 c. 254: 49 47 54 48 56 SP SD: 0.5378 c. M: 1.0787 c. 259: 50 48 55 49 57 SP SD: 0.5049 c. M:-0.6486 c. 368: 71 68 78 70 81 SP SD: 0.4538 c. M: 0.6495 c. 373: 72 69 79 71 82 SP SD: 0.3285 c. M: 0.4799 c. 378: 73 70 80 72 83 SP SD: 0.3494 c. M:-0.5741 c. 400: 77 74 85 76 88 SP SD: 0.3644 c. M: 0.5625 c. 405: 78 75 86 77 89 SP SD: 0.1440 c. M: 0.2222 c. 410: 79 76 87 78 90 SP SD: 0.0711 c. M:-0.1098 c. 815: 157 151 173 155 179 SP SD: 0.0358 c. M: 0.0552 c. 1225: 236 227 260 233 269 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 25.0000 cents 2 x x 3 x 4 S SD: 16.3393 cents 3 x 4 x 5:6 S SD: 27.8600 cents 4 x 5:6:7:8 S SD: 21.0849 cents 6:7:8:9:10:12 S SD: 18.3101 cents 7:8:9:11:12:14 SD: 14.8189 cents 12:14:16:18:21:24 S SD: 11.6851 cents 13:15:17:20:23:26 SD: 9.5749 cents 19:22:25:29:33:39 SD: 6.1474 cents 23:26:30:35:40:47 SD: 5.4467 cents 26:30:34:39:45:53 SD: 5.2389 cents 27:31:35:41:47:55 SD: 3.2095 cents 33:38:43:50:57:67 SD: 2.8355 cents 35:40:46:53:61:71 SD: 2.6884 cents 42:48:55:64:73:85 SD: 1.9816 cents 56:64:73:85:97:114 SD: 1.9600 cents 62:71:81:94:108:126 SD: 1.2466 cents 68:78:89:103:118:138 SD: 1.1208 cents 69:79:90:105:120:140 SD: 1.1137 cents 75:86:98:114:130:152 SD: 0.9532 cents 95:109:124:144:165:193 SD: 0.9001 cents 110:126:144:167:191:223 SD: 0.7618 cents 137:157:179:208:238:278 SD: 0.0461 cents