Scala analysis: Indonesia_Konservatori_Karawitan_Gamelan_III_b
Konservatori Karawitan Gamelan III (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: 245.000 cents 245.000000 2: 485.000 cents 485.000000 3: 730.000 cents 730.000000 4: 971.000 cents 971.000000 5: 1203.000 cents 1203.000000
SHOW/INTERVAL
0: 232.0000 cents 232.0000 1: 245.0000 cents 245.0000 2: 240.0000 cents 240.0000 3: 245.0000 cents 245.0000 4: 241.0000 cents 241.0000 5: 232.0000 cents 232.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 232.00000 cents 1: 1 240.00000 cents 1: 1 241.00000 cents 1: 2 245.00000 cents 2: 1 473.00000 cents 2: 1 477.00000 cents 2: 2 485.00000 cents 2: 1 486.00000 cents 3: 1 717.00000 cents 3: 2 718.00000 cents 3: 1 726.00000 cents 3: 1 730.00000 cents 4: 2 958.00000 cents 4: 1 962.00000 cents 4: 1 963.00000 cents 4: 1 971.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 245.0 485.0 730.0 971.0 1203.0 245.0 : 240.0 485.0 726.0 958.0 1203.0 485.0 : 245.0 486.0 718.0 963.0 1203.0 730.0 : 241.0 473.0 718.0 958.0 1203.0 971.0 : 232.0 477.0 717.0 962.0 1203.0 1203.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 232.0000 .. 245.0000 cents 13.00000 cents 232.00000 cents 2: 473.0000 .. 486.0000 cents 13.00000 cents 228.00000 cents 3: 717.0000 .. 730.0000 cents 13.00000 cents 231.00000 cents 4: 958.0000 .. 971.0000 cents 13.00000 cents 228.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 232.00000 cents, class 1 Average step (divided formal octave): 240.6000 cents Largest one step interval : 245.00000 cents Average / Smallest step : 1.037069 Largest / Average step : 1.018288 Largest / Smallest step : 1.056034 Median interval of one step : 241.00000 cents, amount: 1 Most common interval of one step : 245.00000 cents, amount: 2 Least squares average step : 241.89091 cents, oct.: 1209.45455 cents Scale is strictly proper Scale is a mode of a 1203-tone equal temperament with octave 1203.000 cents degrees: 245 485 730 971 1203 Least number of segments generator : 602 of 602.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 722 of 722.000 cents and inv. generated superset size: 44 = 39 more = 880.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACD Step pattern size order : DBDCA Scale is a Constant Structure, by a margin of 228.00000 cents Scale diversity : 1.050831 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.956775 Rothenberg efficiency : 0.480000 redundancy: 0.520000 Efficiency x scale size : 2.400000 Number of different interval sizes : 16 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 717.6667 cents Number of appreciable fifths : 0 Number of recognisable fourths : 3, average 485.3333 cents Number of appreciable fourths : 1, average 486.0000 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 13.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 13.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 5.9161 c. M: 8.6000 c. 48: 10 9 10 10 9 SP M ME S SD: 5.6728 c. M: 8.8125 c. 53: 11 10 11 11 10 SP M ME S SD: 5.0996 c. M: 8.3396 c. 58: 12 11 12 12 11 SP M ME S SD: 4.6810 c. M: 7.9483 c. 59: 12 12 12 12 11 SP M ME S SD: 4.3548 c. M:-7.7119 c. 62: 13 12 13 12 12 SP M ME S SD: 4.6212 c. M:-7.3226 c. 63: 13 12 13 13 12 SP M ME S SD: 4.3793 c. M: 7.6190 c. 64: 13 13 13 13 12 SP M ME S SD: 3.6099 c. M:-6.4375 c. 67: 14 13 14 13 13 SP M ME S SD: 4.0167 c. M:-6.3731 c. 69: 14 14 14 14 13 SP M ME S SD: 2.9872 c. M:-5.3478 c. 74: 15 15 15 15 14 SP M ME S SD: 2.4677 c. M:-4.4054 c. 79: 16 16 16 16 15 SP M ME S SD: 2.0393 c. M:-3.5823 c. 84: 17 17 17 17 16 SP M ME S SD: 1.6968 c. M:-2.8571 c. 89: 18 18 18 18 17 SP M ME S SD: 1.4400 c. M:-2.2135 c. 94: 19 19 19 19 18 SP M ME S SD: 1.2715 c. M: 1.8404 c. 99: 20 20 20 20 19 SP M ME S SD: 1.1906 c. M: 1.9697 c. 104: 21 21 21 21 20 SP M ME S SD: 1.1876 c. M: 2.0865 c. 109: 22 22 22 22 21 SP M ME S SD: 1.2432 c. M: 2.1927 c. 114: 23 23 23 23 22 SP M ME S SD: 1.3368 c. M: 2.2895 c. 156: 32 31 32 31 30 SP T3 SD: 1.4820 c. M:-2.5962 c. 161: 33 32 33 32 31 SP T3 SD: 1.2807 c. M:-2.2609 c. 166: 34 33 34 33 32 SP T3 SD: 1.0999 c. M:-1.9458 c. 171: 35 34 35 34 33 SP T3 SD: 0.9413 c. M:-1.6491 c. 176: 36 35 36 35 34 SP T3 SD: 0.8081 c. M:-1.3693 c. 181: 37 36 37 36 35 SP T3 SD: 0.7053 c. M:-1.1050 c. 186: 38 37 38 37 36 SP T3 SD: 0.6388 c. M:-0.8548 c. 191: 39 38 39 38 37 SP T3 SD: 0.6125 c. M: 1.0419 c. 260: 53 52 53 52 50 SP T3 SD: 0.6743 c. M:-1.0538 c. 265: 54 53 54 53 51 SP T3 SD: 0.5602 c. M:-0.8792 c. 270: 55 54 55 54 52 SP T3 SD: 0.4550 c. M:-0.7111 c. 275: 56 55 56 55 53 SP T3 SD: 0.3618 c. M:-0.5745 c. 280: 57 56 57 56 54 SP T3 SD: 0.2869 c. M:-0.4964 c. 285: 58 57 58 57 55 SP T3 SD: 0.2420 c. M:-0.4211 c. 290: 59 58 59 58 56 SP T3 SD: 0.2392 c. M:-0.3483 c. 575: 117 115 117 115 111 SP T3 SD: 0.2350 c. M:-0.3843 c. 618: 126 123 126 124 119 SP SD: 0.2399 c. M:-0.3544 c. 623: 127 124 127 125 120 SP SD: 0.2227 c. M: 0.3242 c. 628: 128 125 128 126 121 SP SD: 0.2152 c. M: 0.3519 c. 633: 129 126 129 127 122 SP SD: 0.2179 c. M: 0.3791 c. 638: 130 127 130 128 123 SP SD: 0.2301 c. M: 0.4060 c. 717: 146 143 146 144 138 SP SD: 0.2220 c. M:-0.4603 c. 722: 147 144 147 145 139 SP SD: 0.2105 c. M:-0.3975 c. 727: 148 145 148 146 140 SP SD: 0.2068 c. M:-0.3356 c. 732: 149 146 149 147 141 SP SD: 0.2110 c. M: 0.3115 c. 737: 150 147 150 148 142 SP SD: 0.2223 c. M: 0.3650 c. 804: 164 160 164 161 155 SP SD: 0.2156 c. M:-0.3881 c. 809: 165 161 165 162 156 SP SD: 0.1994 c. M:-0.3585 c. 814: 166 162 166 163 157 SP SD: 0.1892 c. M:-0.3292 c. 819: 167 163 167 164 158 SP SD: 0.1859 c. M:-0.3004 c. 824: 168 164 168 165 159 SP SD: 0.1896 c. M: 0.2961 c. 888: 181 177 181 178 171 SP SD: 0.1993 c. M:-0.3412 c. 893: 182 178 182 179 172 SP SD: 0.1681 c. M:-0.2912 c. 898: 183 179 183 180 173 SP SD: 0.1385 c. M:-0.2416 c. 903: 184 180 184 181 174 SP SD: 0.1117 c. M:-0.1927 c. 908: 185 181 185 182 175 SP SD: 0.0896 c. M:-0.1443 c. 913: 186 182 186 183 176 SP SD: 0.0760 c. M: 0.1106 c. 918: 187 183 187 184 177 SP SD: 0.0751 c. M: 0.1307 c. 1188: 242 237 242 238 229 SP SD: 0.0747 c. M:-0.1086 c. 1193: 243 238 243 239 230 SP SD: 0.0496 c. M:-0.0721 c. 1198: 244 239 244 240 231 SP SD: 0.0247 c. M:-0.0359 c. 1203: 245 240 245 241 232 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: 14.1025 cents 3 x 4 x 5:6 S SD: 29.2231 cents 4 x 5:6:7:8 S SD: 25.6652 cents 6:7:8:9:11:12 SD: 17.4181 cents 7:8:9:11:12:14 SD: 16.5908 cents 9:10:12:14:16:18 S SD: 15.4222 cents 11:13:15:17:19:22 SD: 15.2793 cents 12:14:16:18:21:24 S SD: 7.6125 cents 13:15:17:20:23:26 SD: 6.2270 cents 19:22:25:29:33:38 SD: 4.1025 cents 25:29:33:38:44:50 SD: 3.2004 cents 34:39:45:52:60:68 SD: 3.1469 cents 40:46:53:61:70:80 SD: 1.0600 cents 65:75:86:99:114:130 SD: 0.9352 cents 105:121:139:160:184:210 SD: 0.6431 cents 158:182:209:241:277:317 SD: 0.5799 cents 170:196:225:259:298:341 SD: 0.5683 cents 185:213:245:282:324:371 SD: 0.5004 cents 198:228:262:302:347:397 SD: 0.3632 cents 210:242:278:320:368:421 SD: 0.3216 cents 238:274:315:363:417:477 SD: 0.3127 cents 250:288:331:381:438:501 SD: 0.2324 cents 263:303:348:401:461:527 SD: 0.1550 cents 303:349:401:462:531:607 SD: 0.1087 cents 532:613:704:811:932:1066 SD: 0.1082 cents 553:637:732:843:969:1108 SD: 0.1078 cents 566:652:749:863:992:1134 SD: 0.1074 cents 572:659:757:872:1002:1146 SD: 0.0961 cents