Scala analysis: Indonesia_Gamelan_Kedokngorek_Kyahi
Gamelan Kedokngorek Kyahi (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: 228.000 cents 228.000000 2: 449.000 cents 449.000000 3: 697.000 cents 697.000000 4: 952.000 cents 952.000000 5: 1197.000 cents 1197.000000
SHOW/INTERVAL
0: 245.0000 cents 245.0000 1: 228.0000 cents 228.0000 2: 221.0000 cents 221.0000 3: 248.0000 cents 248.0000 4: 255.0000 cents 255.0000 5: 245.0000 cents 245.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 221.00000 cents 1: 1 228.00000 cents 1: 1 245.00000 cents 1: 1 248.00000 cents 1: 1 255.00000 cents 2: 1 449.00000 cents 2: 1 469.00000 cents 2: 1 473.00000 cents 2: 1 500.00000 cents 2: 1 503.00000 cents 3: 1 694.00000 cents 3: 1 697.00000 cents 3: 1 724.00000 cents 3: 1 728.00000 cents 3: 1 748.00000 cents 4: 1 942.00000 cents 4: 1 949.00000 cents 4: 1 952.00000 cents 4: 1 969.00000 cents 4: 1 976.00000 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 : 228.0 449.0 697.0 952.0 1197.0 228.0 : 221.0 469.0 724.0 969.0 1197.0 449.0 : 248.0 503.0 748.0 976.0 1197.0 697.0 : 255.0 500.0 728.0 949.0 1197.0 952.0 : 245.0 473.0 694.0 942.0 1197.0 1197.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 221.0000 .. 255.0000 cents 34.00000 cents 221.00000 cents 2: 449.0000 .. 503.0000 cents 54.00000 cents 194.00000 cents 3: 694.0000 .. 748.0000 cents 54.00000 cents 191.00000 cents 4: 942.0000 .. 976.0000 cents 34.00000 cents 194.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 221.00000 cents, class 1 Average step (divided formal octave): 239.4000 cents Largest one step interval : 255.00000 cents Average / Smallest step : 1.083258 Largest / Average step : 1.065163 Largest / Smallest step : 1.153846 Median interval of one step : 245.00000 cents, amount: 1 Least squares average step : 236.54545 cents, oct.: 1182.72727 cents Scale is strictly proper Scale is a mode of a 1197-tone equal temperament with octave 1197.000 cents degrees: 228 449 697 952 1197 Least number of segments generator : 599 of 599.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1180 of 1180.000 cents and inv. generated superset size: 114 = 109 more = 2280.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BADEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 191.00000 cents Scale diversity : 1.189537 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.852966 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 : 2, average 695.5000 cents Number of recognisable fourths : 2, average 501.5000 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 54.0000 cents: 1 4 Limited inverse transpositions with margin 54.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 17.3136 c. M:-29.8000 c. 14: 3 2 3 3 3 SP M ME S SD: 17.7525 c. M:-28.5000 c. 16: 3 3 3 4 3 SP M ME S SD: 14.1182 c. M: 23.6875 c. 19: 4 3 4 4 4 SP M ME S SD: 11.8743 c. M:-24.0000 c. 21: 4 4 4 5 4 SP M ME S SD: 10.0698 c. M:-17.0000 c. 24: 5 4 5 5 5 SP M ME S SD: 9.7735 c. M:-21.3750 c. 26: 5 5 5 6 5 SP M ME S SD: 8.8875 c. M:-14.8077 c. 31: 6 6 6 7 6 SP M ME S SD: 8.9549 c. M:-14.3548 c. Slendric-5 33: 6 6 7 7 7 SP D3 S SD: 9.3417 c. M: 13.7273 c. 35: 7 6 7 8 7 SP T3 SD: 8.3628 c. M: 13.0000 c. 38: 7 7 8 8 8 SP D3 S SD: 6.0869 c. M: 8.0000 c. 43: 8 8 9 9 9 SP D3 S SD: 3.8180 c. M: 5.5349 c. 48: 9 9 10 10 10 SP D3 S SD: 2.5850 c. M: 4.3750 c. 53: 10 10 11 11 11 SP D3 S SD: 2.5888 c. M: 3.4340 c. 69: 13 13 14 15 14 SP T3 S SD: 2.2084 c. M: 3.0870 c. 74: 14 14 15 16 15 SP T3 S SD: 2.2545 c. M:-3.9189 c. 88: 17 16 18 19 18 SP SD: 2.0647 c. M: 3.2841 c. 93: 18 17 19 20 19 SP SD: 1.9900 c. M:-3.6774 c. 98: 19 18 20 21 20 SP SD: 2.2926 c. M:-4.0714 c. 107: 20 20 22 23 22 SP T3 S SD: 2.5829 c. M: 4.2617 c. 112: 21 21 23 24 23 SP T3 S SD: 1.9347 c. M: 3.5625 c. 117: 22 22 24 25 24 SP T3 S SD: 1.5412 c. M: 2.9231 c. 122: 23 23 25 26 25 SP T3 S SD: 1.4904 c. M: 2.3361 c. 131: 25 24 27 28 27 SP SD: 1.5006 c. M: 2.5573 c. 136: 26 25 28 29 28 SP SD: 1.0612 c. M: 1.6838 c. 141: 27 26 29 30 29 SP SD: 0.9516 c. M:-1.2128 c. 184: 35 34 38 39 38 SP SD: 1.0793 c. M: 2.2065 c. 189: 36 35 39 40 39 SP SD: 0.9545 c. M: 2.0000 c. 210: 40 39 43 45 43 SP SD: 0.9230 c. M: 1.6000 c. 211: 40 39 44 45 43 SP SD: 0.8479 c. M: 1.0806 c. 216: 41 40 45 46 44 SP SD: 0.8445 c. M:-1.2500 c. 230: 44 42 48 49 47 SP SD: 0.8148 c. M: 1.4261 c. 235: 45 43 49 50 48 SP SD: 0.7732 c. M:-1.2128 c. 240: 46 44 50 51 49 SP SD: 0.8926 c. M:-1.4250 c. 258: 49 48 53 55 53 SP SD: 0.8314 c. M: 1.0698 c. 264: 50 49 55 56 54 SP SD: 0.8101 c. M: 1.2955 c. 278: 53 51 58 59 57 SP SD: 0.6248 c. M: 1.2014 c. 283: 54 52 59 60 58 SP SD: 0.5475 c. M:-0.8975 c. 299: 57 55 62 64 61 SP SD: 0.4972 c. M:-0.7960 c. 304: 58 56 63 65 62 SP SD: 0.4303 c. M:-0.8750 c. 347: 66 64 72 74 71 SP SD: 0.3029 c. M: 0.5562 c. 352: 67 65 73 75 72 SP SD: 0.1271 c. M: 0.1619 c. 840: 160 155 174 179 172 SP SD: 0.1061 c. M: 0.1750 c. 845: 161 156 175 180 173 SP SD: 0.0529 c. M:-0.0675 c. 1197: 228 221 248 255 245 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 3.0000 cents 2 x x 3 x 4 S SD: 2.8962 cents 3 x 4 x 5:6 S SD: 27.8683 cents 4 x 5:6:7:8 S SD: 16.2908 cents 5:6 x 7:9:10 SD: 39.6077 cents 6:7:8:9:10:12 S SD: 18.4665 cents 7:8:9:10:12:14 S SD: 16.6024 cents 8:9:10:12:14:16 S SD: 13.8947 cents 12:14:16:18:21:24 S SD: 13.0123 cents 13:15:17:19:23:26 SD: 11.8587 cents 14:16:18:21:24:28 S SD: 4.8719 cents 20:23:26:30:35:40 SD: 4.6422 cents 27:31:35:40:47:54 SD: 4.3183 cents 30:34:39:45:52:60 SD: 2.7481 cents 34:39:44:51:59:68 SD: 2.3340 cents 44:50:57:66:76:88 SD: 2.1235 cents 50:57:65:75:87:100 SD: 2.0953 cents 57:65:74:85:99:114 SD: 1.5340 cents 64:73:83:96:111:128 SD: 1.2063 cents 71:81:92:106:123:142 SD: 0.8909 cents 121:138:157:181:210:242 SD: 0.8692 cents 135:154:175:202:234:270 SD: 0.6197 cents 192:219:249:287:333:383 SD: 0.5004 cents 206:235:267:308:357:411 SD: 0.2753 cents 270:308:350:404:468:539 SD: 0.1604 cents 341:389:442:510:591:681 SD: 0.0998 cents 547:624:709:818:948:1092 SD: 0.0761 cents