Scala analysis: Indonesia_Gam_GPH_Hangabehi
Gam. GPH Hangabehi (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: 469.000 cents 469.000000 3: 723.000 cents 723.000000 4: 960.000 cents 960.000000 5: 1212.000 cents 1212.000000
SHOW/INTERVAL
0: 252.0000 cents 252.0000 1: 236.0000 cents 236.0000 2: 233.0000 cents 233.0000 3: 254.0000 cents 254.0000 4: 237.0000 cents 237.0000 5: 252.0000 cents 252.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 233.00000 cents 1: 1 236.00000 cents 1: 1 237.00000 cents 1: 1 252.00000 cents 1: 1 254.00000 cents 2: 1 469.00000 cents 2: 1 487.00000 cents 2: 1 488.00000 cents 2: 1 489.00000 cents 2: 1 491.00000 cents 3: 1 721.00000 cents 3: 1 723.00000 cents 3: 1 724.00000 cents 3: 1 725.00000 cents 3: 1 743.00000 cents 4: 1 958.00000 cents 4: 1 960.00000 cents 4: 1 975.00000 cents 4: 1 976.00000 cents 4: 1 979.00000 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 : 236.0 469.0 723.0 960.0 1212.0 236.0 : 233.0 487.0 724.0 976.0 1212.0 469.0 : 254.0 491.0 743.0 979.0 1212.0 723.0 : 237.0 489.0 725.0 958.0 1212.0 960.0 : 252.0 488.0 721.0 975.0 1212.0 1212.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 233.0000 .. 254.0000 cents 21.00000 cents 233.00000 cents 2: 469.0000 .. 491.0000 cents 22.00000 cents 215.00000 cents 3: 721.0000 .. 743.0000 cents 22.00000 cents 230.00000 cents 4: 958.0000 .. 979.0000 cents 21.00000 cents 215.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 233.00000 cents, class 1 Average step (divided formal octave): 242.4000 cents Largest one step interval : 254.00000 cents Average / Smallest step : 1.040343 Largest / Average step : 1.047855 Largest / Smallest step : 1.090129 Median interval of one step : 237.00000 cents, amount: 1 Least squares average step : 240.78182 cents, oct.: 1203.90909 cents Scale is strictly proper Scale is a mode of a 1212-tone equal temperament with octave 1212.000 cents degrees: 236 469 723 960 1212 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 727 of 727.000 cents and inv. generated superset size: 80 = 75 more = 1600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BAECD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 215.00000 cents Scale diversity : 1.073861 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.929043 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 : 0 Number of recognisable fourths : 4, average 488.7500 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 22.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 22.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 8.9487 c. M:-15.8000 c. 29: 6 5 6 6 6 SP M ME S SD: 9.6133 c. M:-14.7586 c. 32: 6 6 7 6 7 SP M ME S SD: 9.7002 c. M: 14.5000 c. 34: 7 6 7 7 7 SP M ME S SD: 8.0194 c. M:-13.5294 c. 37: 7 7 8 7 8 SP M ME S SD: 7.2085 c. M: 10.4054 c. 39: 8 7 8 8 8 SP M ME S SD: 7.0207 c. M:-12.6154 c. 42: 8 8 9 8 9 SP M ME S SD: 5.3200 c. M: 7.7143 c. 47: 9 9 10 9 10 SP M ME S SD: 3.8485 c. M: 5.8723 c. 52: 10 10 11 10 11 SP M ME S SD: 2.6864 c. M: 4.3846 c. 57: 11 11 12 11 12 SP M ME S SD: 1.7817 c. M: 3.1579 c. 62: 12 12 13 12 13 SP M ME S SD: 1.1539 c. M: 2.1290 c. 67: 13 13 14 13 14 SP M ME S SD: 0.9353 c. M:-1.3284 c. 129: 25 25 27 25 27 SP M DE S SD: 0.9833 c. M: 1.6744 c. 196: 38 38 41 38 41 SP M DE S SD: 0.9533 c. M: 1.5306 c. 220: 43 42 46 43 46 SP T3 SD: 1.0047 c. M: 1.4182 c. 225: 44 43 47 44 47 SP T3 SD: 0.8878 c. M: 1.1867 c. 230: 45 44 48 45 48 SP T3 SD: 0.8129 c. M:-1.1304 c. 235: 46 45 49 46 49 SP T3 SD: 0.7847 c. M:-1.2426 c. 246: 48 47 52 48 51 SP SD: 0.8032 c. M:-1.2439 c. 251: 49 48 53 49 52 SP SD: 0.8088 c. M:-1.3028 c. 256: 50 49 54 50 53 SP SD: 0.8503 c. M:-1.3594 c. 261: 51 50 55 51 54 SP SD: 0.9192 c. M:-1.4138 c. 266: 52 51 56 52 55 SP SD: 1.0069 c. M:-1.4662 c. 273: 53 53 57 53 57 SP M DE S SD: 0.9557 c. M:-1.5934 c. 282: 55 54 59 55 59 SP T3 SD: 0.8747 c. M: 1.5745 c. 287: 56 55 60 56 60 SP T3 SD: 0.7689 c. M: 1.3798 c. 292: 57 56 61 57 61 SP T3 SD: 0.6896 c. M: 1.1918 c. 297: 58 57 62 58 62 SP T3 SD: 0.6424 c. M: 1.0101 c. 302: 59 58 63 59 63 SP T3 SD: 0.6306 c. M: 0.8344 c. 308: 60 59 65 60 64 SP SD: 0.5780 c. M:-1.0519 c. 313: 61 60 66 61 65 SP SD: 0.5595 c. M:-1.1022 c. 318: 62 61 67 62 66 SP SD: 0.5769 c. M:-1.1509 c. 323: 63 62 68 63 67 SP SD: 0.6241 c. M:-1.1981 c. 328: 64 63 69 64 68 SP SD: 0.6927 c. M:-1.2439 c. 354: 69 68 74 69 74 SP T3 SD: 0.6707 c. M: 1.3559 c. 359: 70 69 75 70 75 SP T3 SD: 0.6169 c. M: 1.2033 c. 364: 71 70 76 71 76 SP T3 SD: 0.5874 c. M: 1.0549 c. 365: 71 70 77 71 76 SP SD: 0.5669 c. M:-0.8795 c. 370: 72 71 78 72 77 SP SD: 0.5027 c. M:-0.9243 c. 375: 73 72 79 73 78 SP SD: 0.4647 c. M:-0.9680 c. 380: 74 73 80 74 79 SP SD: 0.4570 c. M:-1.0105 c. 385: 75 74 81 75 80 SP SD: 0.4786 c. M:-1.0519 c. 390: 76 75 82 76 81 SP SD: 0.5239 c. M:-1.0923 c. 395: 77 76 83 77 82 SP SD: 0.5858 c. M:-1.1316 c. 414: 81 79 87 81 86 SP SD: 0.5822 c. M:-1.1304 c. 427: 83 82 90 83 89 SP SD: 0.5695 c. M:-0.7939 c. 432: 84 83 91 84 90 SP SD: 0.5057 c. M:-0.8333 c. 437: 85 84 92 85 91 SP SD: 0.4594 c. M:-0.8719 c. 442: 86 85 93 86 92 SP SD: 0.4346 c. M:-0.9095 c. 447: 87 86 94 87 93 SP SD: 0.4332 c. M:-0.9463 c. 453: 88 87 95 89 94 SP SD: 0.5591 c. M: 0.7881 c. 457: 89 88 96 89 95 SP SD: 0.4927 c. M:-1.0175 c. 458: 89 88 96 90 95 SP SD: 0.5059 c. M: 0.6070 c. 463: 90 89 97 91 96 SP SD: 0.4693 c. M:-0.6998 c. 468: 91 90 98 92 97 SP SD: 0.4520 c. M:-0.7949 c. 476: 93 91 100 93 99 SP SD: 0.4254 c. M:-0.7983 c. 481: 94 92 101 94 100 SP SD: 0.4169 c. M:-0.8565 c. 486: 95 93 102 95 101 SP SD: 0.4289 c. M:-0.9136 c. 491: 96 94 103 96 102 SP SD: 0.4585 c. M:-0.9695 c. 496: 97 95 104 97 103 SP SD: 0.5016 c. M:-1.0242 c. 499: 97 96 105 97 104 SP SD: 0.4929 c. M:-0.7996 c. 504: 98 97 106 98 105 SP SD: 0.4606 c. M:-0.8333 c. 509: 99 98 107 99 106 SP SD: 0.4449 c. M:-0.8664 c. 520: 101 100 109 102 108 SP SD: 0.4257 c. M: 0.5923 c. 525: 102 101 110 103 109 SP SD: 0.3778 c. M: 0.5257 c. 530: 103 102 111 104 110 SP SD: 0.3463 c. M: 0.4604 c. 535: 104 103 112 105 111 SP SD: 0.3346 c. M:-0.5383 c. 543: 106 104 114 106 113 SP SD: 0.3198 c. M:-0.5967 c. 548: 107 105 115 107 114 SP SD: 0.3171 c. M:-0.6496 c. 553: 108 106 116 108 115 SP SD: 0.3345 c. M:-0.7016 c. 558: 109 107 117 109 116 SP SD: 0.3684 c. M:-0.7527 c. 582: 113 112 122 114 121 SP SD: 0.4013 c. M: 0.6804 c. 587: 114 113 123 115 122 SP SD: 0.3479 c. M: 0.6201 c. 592: 115 114 124 116 123 SP SD: 0.3062 c. M: 0.5608 c. 597: 116 115 125 117 124 SP SD: 0.2803 c. M: 0.5025 c. 602: 117 116 126 118 125 SP SD: 0.2738 c. M: 0.4452 c. 605: 118 116 127 118 126 SP SD: 0.2879 c. M: 0.4165 c. 607: 118 117 127 119 126 SP SD: 0.2869 c. M:-0.4152 c. 610: 119 117 128 119 127 SP SD: 0.2702 c. M:-0.4393 c. 615: 120 118 129 120 128 SP SD: 0.2721 c. M:-0.4878 c. 620: 121 119 130 121 129 SP SD: 0.2924 c. M:-0.5355 c. 625: 122 120 131 122 130 SP SD: 0.3268 c. M:-0.5824 c. 649: 126 125 136 127 135 SP SD: 0.3591 c. M: 0.6965 c. 654: 127 126 137 128 136 SP SD: 0.3143 c. M: 0.6422 c. 659: 128 127 138 129 137 SP SD: 0.2807 c. M: 0.5888 c. 664: 129 128 139 130 138 SP SD: 0.2617 c. M: 0.5361 c. 669: 130 129 140 131 139 SP SD: 0.2596 c. M: 0.4843 c. 682: 133 131 143 133 142 SP SD: 0.2691 c. M:-0.3578 c. 765: 149 147 160 150 159 SP SD: 0.2531 c. M: 0.5529 c. 770: 150 148 161 151 160 SP SD: 0.2495 c. M: 0.5221 c. 817: 159 157 171 160 170 SP SD: 0.2832 c. M: 0.5471 c. 822: 160 158 172 161 171 SP SD: 0.2486 c. M: 0.5182 c. 827: 161 159 173 162 172 SP SD: 0.2228 c. M: 0.4897 c. 832: 162 160 174 163 173 SP SD: 0.2087 c. M: 0.4615 c. 837: 163 161 175 164 174 SP SD: 0.2082 c. M: 0.4337 c. 894: 174 172 187 175 186 SP SD: 0.2052 c. M: 0.4094 c. 899: 175 173 188 176 187 SP SD: 0.1948 c. M: 0.3838 c. 905: 176 174 190 177 188 SP SD: 0.2214 c. M: 0.2961 c. 909: 177 175 190 178 189 SP SD: 0.2108 c. M: 0.3333 c. 910: 177 175 191 178 189 SP SD: 0.2093 c. M:-0.2769 c. 915: 178 176 192 179 190 SP SD: 0.2085 c. M:-0.3279 c. 966: 188 186 202 189 201 SP SD: 0.2045 c. M: 0.3168 c. 972: 189 187 204 190 202 SP SD: 0.1981 c. M: 0.3333 c. 977: 190 188 205 191 203 SP SD: 0.1888 c. M: 0.2989 c. 982: 191 189 206 192 204 SP SD: 0.1904 c. M: 0.2648 c. 1011: 197 194 212 198 210 SP SD: 0.1859 c. M: 0.2641 c. 1016: 198 195 213 199 211 SP SD: 0.1839 c. M:-0.2953 c. 1068: 208 205 224 209 222 SP SD: 0.1537 c. M: 0.3146 c. 1073: 209 206 225 210 223 SP SD: 0.1296 c. M: 0.2395 c. 1078: 210 207 226 211 224 SP SD: 0.1163 c. M: 0.1651 c. 1083: 211 208 227 212 225 SP SD: 0.1171 c. M:-0.1994 c. 1130: 220 217 237 221 235 SP SD: 0.1382 c. M: 0.2885 c. 1135: 221 218 238 222 236 SP SD: 0.1026 c. M: 0.2176 c. 1140: 222 219 239 223 237 SP SD: 0.0720 c. M: 0.1474 c. 1145: 223 220 240 224 238 SP SD: 0.0547 c. M: 0.0777 c. 1150: 224 221 241 225 239 SP SD: 0.0622 c. M:-0.1148 c. 1202: 234 231 252 235 250 SP SD: 0.0744 c. M: 0.1314 c. 1207: 235 232 253 236 251 SP SD: 0.0371 c. M: 0.0655 c. 1212: 236 233 254 237 252 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 12.0000 cents 2 x x 3 x 4 S SD: 12.1129 cents 3 x 4 x 5:6 S SD: 27.3033 cents 4 x 5:6:7:8 S SD: 21.6532 cents 6:7:8:9:10:12 S SD: 18.0057 cents 7:8:9:11:12:14 SD: 14.9384 cents 12:14:16:18:21:24 S SD: 9.9225 cents 13:15:17:20:23:26 SD: 7.9796 cents 19:22:25:29:33:38 SD: 4.8930 cents 27:31:35:41:47:54 SD: 4.6618 cents 33:38:43:50:57:66 SD: 4.6106 cents 35:40:46:53:61:70 SD: 2.8908 cents 42:48:55:64:73:85 SD: 2.4297 cents 48:55:63:73:84:97 SD: 2.2316 cents 54:62:71:82:94:109 SD: 1.4031 cents 77:88:101:117:134:155 SD: 1.0354 cents 81:93:106:123:141:163 SD: 0.9597 cents 96:110:126:146:167:193 SD: 0.9514 cents 116:133:152:176:202:234 SD: 0.6799 cents 131:150:172:199:228:264 SD: 0.6515 cents 151:173:198:229:263:304 SD: 0.4551 cents 158:181:207:240:275:318 SD: 0.4194 cents 193:221:253:293:336:389 SD: 0.4161 cents 212:243:278:322:369:427 SD: 0.1794 cents 363:416:476:551:632:731 SD: 0.1109 cents 575:659:754:873:1001:1158 SD: 0.0655 cents