Scala analysis: Indonesia_Konservatori_Karawitan_Gamelan_I_a
Konservatori Karawitan Gamelan I (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: 120.000 cents 120.000000 2: 267.000 cents 267.000000 3: 540.000 cents 540.000000 4: 668.000 cents 668.000000 5: 783.000 cents 783.000000 6: 977.000 cents 977.000000 7: 1217.000 cents 1217.000000
SHOW/INTERVAL
0: 240.0000 cents 240.0000 1: 120.0000 cents 120.0000 2: 147.0000 cents 147.0000 3: 273.0000 cents 273.0000 4: 128.0000 cents 128.0000 5: 115.0000 cents 115.0000 6: 194.0000 cents 194.0000 7: 240.0000 cents 240.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 115.00000 cents 1: 1 120.00000 cents 1: 1 128.00000 cents 1: 1 147.00000 cents 1: 1 194.00000 cents 1: 1 240.00000 cents 1: 1 273.00000 cents 2: 1 243.00000 cents 2: 1 267.00000 cents 2: 1 309.00000 cents 2: 1 360.00000 cents 2: 1 401.00000 cents 2: 1 420.00000 cents 2: 1 434.00000 cents 3: 1 437.00000 cents 3: 1 507.00000 cents 3: 1 516.00000 cents 3: 1 540.00000 cents 3: 1 548.00000 cents 3: 1 549.00000 cents 3: 1 554.00000 cents 4: 1 663.00000 cents 4: 1 668.00000 cents 4: 1 669.00000 cents 4: 1 677.00000 cents 4: 1 701.00000 cents 4: 1 710.00000 cents 4: 1 780.00000 cents 5: 1 783.00000 cents 5: 1 797.00000 cents 5: 1 816.00000 cents 5: 1 857.00000 cents 5: 1 908.00000 cents 5: 1 950.00000 cents 5: 1 974.00000 cents 6: 1 944.00000 cents 6: 1 977.00000 cents 6: 1 1023.00000 cents 6: 1 1070.00000 cents 6: 1 1089.00000 cents 6: 1 1097.00000 cents 6: 1 1102.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 120.0 267.0 540.0 668.0 783.0 977.0 1217.0 120.0 : 147.0 420.0 548.0 663.0 857.0 1097.0 1217.0 267.0 : 273.0 401.0 516.0 710.0 950.0 1070.0 1217.0 540.0 : 128.0 243.0 437.0 677.0 797.0 944.0 1217.0 668.0 : 115.0 309.0 549.0 669.0 816.0 1089.0 1217.0 783.0 : 194.0 434.0 554.0 701.0 974.0 1102.0 1217.0 977.0 : 240.0 360.0 507.0 780.0 908.0 1023.0 1217.0 1217.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 115.0000 .. 273.0000 cents 158.00000 cents 115.00000 cents 2: 243.0000 .. 434.0000 cents 191.00000 cents -30.00000 cents 3: 437.0000 .. 554.0000 cents 117.00000 cents 3.00000 cents 4: 663.0000 .. 780.0000 cents 117.00000 cents 109.00000 cents 5: 783.0000 .. 974.0000 cents 191.00000 cents 3.00000 cents 6: 944.0000 .. 1102.0000 cents 158.00000 cents -30.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 115.00000 cents, class 1 Average step (divided formal octave): 173.8571 cents Largest one step interval : 273.00000 cents Average / Smallest step : 1.511801 Largest / Average step : 1.570255 Largest / Smallest step : 2.373913 Median interval of one step : 147.00000 cents, amount: 1 Least squares average step : 166.01429 cents, oct.: 1162.10000 cents Scale is not proper Scale is a mode of a 1217-tone equal temperament with octave 1217.000 cents degrees: 120 267 540 668 783 977 1217 Least number of segments generator : 609 of 609.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 865 of 865.000 cents and inv. generated superset size: 294 = 287 more = 4200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BDGCAEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.519673 Lumma stability : 0.283484 Lumma impropriety factor : 0.049302 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 2, average 705.5000 cents Number of recognisable fourths : 1, average 507.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 1 2 0 1 1 2 N T3 SD: 95.7136 c. M: 146.4286 c. 8: 1 1 2 0 1 1 2 N T3 SD: 46.7223 c. M:-68.5000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 17.0705 c. M: 30.4444 c. Pseudo Pelog, Pelogic-7, Antiionian 18: 2 2 4 2 2 3 3 P D3 S SD: 18.8767 c. M:-37.1667 c. 19: 2 2 4 2 2 3 4 P SD: 17.5936 c. M: 27.5789 c. 20: 2 2 5 2 2 3 4 N SD: 9.9754 c. M: 23.6000 c. 22: 2 3 5 2 2 4 4 N SD: 10.6546 c. M:-18.7273 c. 27: 3 3 6 3 2 5 5 N SD: 10.7201 c. M: 16.7407 c. 29: 3 3 7 3 3 4 6 N SD: 9.6628 c. M: 15.2069 c. 31: 3 4 7 3 3 5 6 N SD: 5.1153 c. M:-9.6129 c. 40: 4 5 9 4 4 6 8 N SD: 5.1572 c. M:-8.0500 c. 50: 5 6 11 5 5 8 10 N SD: 4.9204 c. M: 10.8200 c. 51: 5 6 12 5 5 8 10 N SD: 4.1560 c. M:-8.8431 c. 59: 6 7 13 6 6 9 12 N SD: 4.6195 c. M: 7.9322 c. 64: 6 8 14 7 6 10 13 N SD: 4.8088 c. M: 7.5625 c. 65: 6 8 15 7 6 10 13 N SD: 4.6381 c. M: 7.6615 c. 67: 7 8 15 7 6 11 13 N SD: 4.4805 c. M:-7.1493 c. 69: 7 8 16 7 6 11 14 N SD: 4.8535 c. M: 6.9420 c. 70: 7 8 16 7 7 11 14 N SD: 3.9367 c. M: 7.3429 c. 73: 7 9 16 8 7 12 14 N SD: 3.7551 c. M:-6.6027 c. 78: 8 9 18 8 7 13 15 N SD: 4.0649 c. M:-6.0897 c. 81: 8 10 18 8 8 13 16 N SD: 3.0141 c. M: 6.9136 c. 82: 8 10 18 9 8 13 16 N SD: 2.7671 c. M: 5.7073 c. 90: 9 11 20 9 9 14 18 N SD: 2.8796 c. M: 5.4111 c. 93: 9 11 21 10 9 15 18 N SD: 3.1567 c. M: 5.2796 c. 95: 9 12 21 10 9 15 19 N SD: 2.6043 c. M: 4.7053 c. 100: 10 12 22 11 9 16 20 N SD: 2.7832 c. M: 4.5200 c. 101: 10 12 23 10 10 16 20 N SD: 2.3218 c. M: 5.2772 c. 102: 10 12 23 11 10 16 20 N SD: 2.7319 c. M: 4.5098 c. 104: 10 13 23 11 10 16 21 N SD: 2.7099 c. M: 5.7404 c. 106: 10 13 24 11 10 17 21 N SD: 2.5773 c. M: 5.1887 c. 110: 11 13 25 11 11 17 22 N SD: 2.5336 c. M: 4.1818 c. 113: 11 14 25 12 11 18 22 N SD: 2.0483 c. M:-3.2035 c. 115: 11 14 26 12 11 18 23 N SD: 2.1434 c. M: 3.5913 c. 122: 12 15 27 13 11 20 24 N SD: 2.1370 c. M: 4.9180 c. 131: 13 16 29 14 12 21 26 N SD: 1.5988 c. M: 2.6336 c. 142: 14 17 32 15 13 23 28 N SD: 1.2840 c. M: 3.0915 c. 151: 15 18 34 16 14 24 30 N SD: 1.0313 c. M: 1.7881 c. 182: 18 22 41 19 17 29 36 N SD: 0.7947 c. M:-1.6319 c. 252: 25 30 57 26 24 40 50 N SD: 1.0831 c. M: 1.5476 c. 255: 25 31 57 27 24 41 50 N SD: 0.6582 c. M:-1.3725 c. 264: 26 32 59 28 25 42 52 N SD: 0.4307 c. M:-0.6742 c. 406: 40 49 91 43 38 65 80 N SD: 0.3605 c. M: 0.6429 c. 415: 41 50 93 44 39 66 82 N SD: 0.3475 c. M:-0.6169 c. 437: 43 53 98 46 41 70 86 N SD: 0.3473 c. M:-0.4989 c. 446: 44 54 100 47 42 71 88 N SD: 0.2856 c. M:-0.5314 c. 670: 66 81 150 71 63 107 132 N SD: 0.2810 c. M: 0.5239 c. 701: 69 85 157 74 66 112 138 N SD: 0.2700 c. M:-0.4194 c. 710: 70 86 159 75 67 113 140 N SD: 0.2723 c. M:-0.4930 c. 721: 71 87 162 76 68 115 142 N SD: 0.2547 c. M:-0.4216 c. 751: 74 91 168 79 71 120 148 N SD: 0.2752 c. M:-0.3835 c. 760: 75 92 170 80 72 121 150 N SD: 0.2441 c. M:-0.4197 c. 771: 76 93 173 81 73 123 152 N SD: 0.1652 c. M: 0.3074 c. 780: 77 94 175 82 74 124 154 N SD: 0.1946 c. M: 0.2795 c. 802: 79 97 180 84 76 128 158 N SD: 0.1798 c. M: 0.3192 c. 953: 94 115 214 100 90 152 188 N SD: 0.1193 c. M: 0.1868 c. 1186: 117 143 266 125 112 189 234 N SD: 0.1337 c. M: 0.2513 c. 1208: 119 146 271 127 114 193 238 N SD: 0.1272 c. M:-0.2268 c. 1217: 120 147 273 128 115 194 240 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 17.0000 cents 2 x x x 3 x x 4 S SD: 18.9865 cents 3 x x 4 x x 5:6 S SD: 34.3699 cents 4 x 5 x 6 x 7:8 S SD: 31.3693 cents 5 x 6:7 x 8:9:10 S SD: 16.7952 cents 6 x 7:8:9 x 11:12 SD: 18.3723 cents 7 x 8 x 10:11:12:14 S SD: 15.5549 cents 8 x 9:11:12:13:14:16 SD: 15.7468 cents 10:11:12:14:15:16:18:20 S SD: 14.4493 cents 11:12:13:15:16:17:19:22 SD: 8.9380 cents 12:13:14:16:18:19:21:24 SD: 8.7734 cents 13:14:15:18:19:20:23:26 SD: 7.6894 cents 17:18:20:23:25:27:30:34 SD: 5.6731 cents 24:26:28:33:35:38:42:48 SD: 4.9612 cents 25:27:29:34:37:39:44:50 SD: 4.3203 cents 28:30:33:38:41:44:49:57 SD: 3.9022 cents 30:32:35:41:44:47:53:61 SD: 2.5931 cents 41:44:48:56:60:64:72:83 SD: 2.4041 cents 42:45:49:57:62:66:74:85 SD: 1.9823 cents 54:58:63:74:79:85:95:109 SD: 1.6820 cents 66:71:77:90:97:104:116:133 SD: 1.3289 cents 84:90:98:115:124:132:148:170 SD: 1.2703 cents 95:102:111:130:140:149:167:192 SD: 1.0275 cents 96:103:112:131:141:151:169:194 SD: 0.6329 cents 166:178:194:227:244:261:292:335 SD: 0.5753 cents 180:193:210:246:265:283:316:364 SD: 0.5643 cents 191:205:223:261:281:300:336:386 SD: 0.4844 cents 208:223:243:284:306:327:366:420 SD: 0.4074 cents 210:225:245:287:309:330:369:424 SD: 0.2579 cents 306:328:357:418:450:481:538:618 SD: 0.0620 cents