Scala analysis: Indonesia_Sadadpengasih
Sadadpengasih (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: 226.000 cents 226.000000 2: 474.000 cents 474.000000 3: 712.000 cents 712.000000 4: 958.000 cents 958.000000 5: 1205.000 cents 1205.000000
SHOW/INTERVAL
0: 247.0000 cents 247.0000 1: 226.0000 cents 226.0000 2: 248.0000 cents 248.0000 3: 238.0000 cents 238.0000 4: 246.0000 cents 246.0000 5: 247.0000 cents 247.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 226.00000 cents 1: 1 238.00000 cents 1: 1 246.00000 cents 1: 1 247.00000 cents 1: 1 248.00000 cents 2: 1 473.00000 cents 2: 1 474.00000 cents 2: 1 484.00000 cents 2: 1 486.00000 cents 2: 1 493.00000 cents 3: 1 712.00000 cents 3: 1 719.00000 cents 3: 1 721.00000 cents 3: 1 731.00000 cents 3: 1 732.00000 cents 4: 1 957.00000 cents 4: 1 958.00000 cents 4: 1 959.00000 cents 4: 1 967.00000 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 : 226.0 474.0 712.0 958.0 1205.0 226.0 : 248.0 486.0 732.0 979.0 1205.0 474.0 : 238.0 484.0 731.0 957.0 1205.0 712.0 : 246.0 493.0 719.0 967.0 1205.0 958.0 : 247.0 473.0 721.0 959.0 1205.0 1205.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 226.0000 .. 248.0000 cents 22.00000 cents 226.00000 cents 2: 473.0000 .. 493.0000 cents 20.00000 cents 225.00000 cents 3: 712.0000 .. 732.0000 cents 20.00000 cents 219.00000 cents 4: 957.0000 .. 979.0000 cents 22.00000 cents 225.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 226.00000 cents, class 1 Average step (divided formal octave): 241.0000 cents Largest one step interval : 248.00000 cents Average / Smallest step : 1.066372 Largest / Average step : 1.029046 Largest / Smallest step : 1.097345 Median interval of one step : 246.00000 cents, amount: 1 Least squares average step : 239.40000 cents, oct.: 1197.00000 cents Scale is strictly proper Scale is a mode of a 1205-tone equal temperament with octave 1205.000 cents degrees: 226 474 712 958 1205 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 893 of 893.000 cents and inv. generated superset size: 215 = 210 more = 4300.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : AEBCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 219.00000 cents Scale diversity : 1.082280 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.930290 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 : 2, average 715.5000 cents Number of appreciable fifths : 1, average 712.0000 cents Number of recognisable fourths : 3, average 487.6667 cents Number of appreciable fourths : 2, average 489.5000 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 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: 9.4446 c. M:-15.0000 c. 31: 6 6 6 7 6 SP M ME S SD: 9.4949 c. M:-13.7742 c. Slendric-5 34: 6 7 7 7 7 SP M ME S SD: 8.5502 c. M: 13.3529 c. Immunity-5 36: 7 7 7 8 7 SP M ME S SD: 8.2665 c. M:-12.6944 c. Slendric-5 38: 7 8 7 8 8 SP M ME S SD: 7.3497 c. M: 14.3684 c. 39: 7 8 8 8 8 SP M ME S SD: 6.4401 c. M: 10.5385 c. Immunity-5 43: 8 9 8 9 9 SP M ME S SD: 5.7715 c. M: 11.4186 c. 44: 8 9 9 9 9 SP M ME S SD: 4.8807 c. M: 8.4318 c. 48: 9 10 9 10 10 SP M ME S SD: 4.6416 c. M: 9.0833 c. 49: 9 10 10 10 10 SP M ME S SD: 3.7415 c. M: 6.7551 c. 54: 10 11 11 11 11 SP M ME S SD: 2.9610 c. M: 5.3889 c. 59: 11 12 12 12 12 SP M ME S SD: 2.5128 c. M: 4.2542 c. 64: 12 13 13 13 13 SP M ME S SD: 2.3621 c. M:-3.4687 c. 69: 13 14 14 14 14 SP M ME S SD: 2.4332 c. M:-4.0145 c. 74: 14 15 15 15 15 SP M ME S SD: 2.6336 c. M:-4.4865 c. 92: 17 19 18 19 19 SP T3 SD: 2.9321 c. M: 4.7174 c. 96: 18 20 19 19 20 SP D3 S SD: 2.7293 c. M: 4.0417 c. 97: 18 20 19 20 20 SP T3 SD: 2.3176 c. M: 3.9072 c. 102: 19 21 20 21 21 SP T3 SD: 1.7748 c. M: 3.1765 c. 107: 20 22 21 22 22 SP T3 SD: 1.3038 c. M: 2.5140 c. 112: 21 23 22 23 23 SP T3 SD: 0.9199 c. M: 1.9107 c. 117: 22 24 23 24 24 SP T3 SD: 0.6744 c. M: 1.3590 c. 122: 23 25 24 25 25 SP T3 SD: 0.6505 c. M:-1.1721 c. 186: 35 38 37 38 38 SP T3 SD: 0.7448 c. M: 1.0699 c. 239: 45 49 47 49 49 SP T3 SD: 0.6320 c. M: 1.1004 c. 283: 53 58 56 58 58 SP T3 SD: 0.7523 c. M: 1.3675 c. 288: 54 59 57 59 59 SP T3 SD: 0.6305 c. M: 1.2049 c. 293: 55 60 58 60 60 SP T3 SD: 0.5404 c. M: 1.0478 c. 298: 56 61 59 61 61 SP T3 SD: 0.4935 c. M: 0.8960 c. 303: 57 62 60 62 62 SP T3 SD: 0.4966 c. M: 0.7492 c. 374: 70 77 74 76 77 SP SD: 0.5559 c. M: 1.0882 c. 379: 71 78 75 77 78 SP SD: 0.4827 c. M: 0.9947 c. 384: 72 79 76 78 79 SP SD: 0.4371 c. M: 0.9036 c. 389: 73 80 77 79 80 SP SD: 0.4250 c. M: 0.8149 c. 394: 74 81 78 80 81 SP SD: 0.4465 c. M: 0.7284 c. 415: 78 85 82 85 85 SP T3 SD: 0.4801 c. M: 0.7108 c. 420: 79 86 83 86 86 SP T3 SD: 0.4675 c. M:-0.6548 c. 486: 91 100 96 99 100 SP SD: 0.5246 c. M: 0.9424 c. 491: 92 101 97 100 101 SP SD: 0.4491 c. M: 0.8717 c. 496: 93 102 98 101 102 SP SD: 0.3863 c. M: 0.8024 c. 501: 94 103 99 102 103 SP SD: 0.3414 c. M: 0.7345 c. 506: 95 104 100 103 104 SP SD: 0.3203 c. M: 0.6680 c. 511: 96 105 101 104 105 SP SD: 0.3259 c. M: 0.6027 c. 513: 96 106 101 105 105 SP SD: 0.3725 c. M: 0.5029 c. 516: 97 106 102 105 106 SP SD: 0.3556 c. M: 0.5388 c. 565: 106 116 112 115 116 SP SD: 0.3343 c. M: 0.5310 c. 570: 107 117 113 116 117 SP SD: 0.3318 c. M: 0.4561 c. 592: 111 122 117 121 121 SP SD: 0.3867 c. M:-0.7078 c. 597: 112 123 118 122 122 SP SD: 0.4319 c. M:-0.7521 c. 608: 114 125 120 124 125 SP SD: 0.4241 c. M: 0.7385 c. 613: 115 126 121 125 126 SP SD: 0.3735 c. M: 0.6835 c. 618: 116 127 122 126 127 SP SD: 0.3348 c. M: 0.6294 c. 623: 117 128 123 127 128 SP SD: 0.3115 c. M: 0.5762 c. 628: 118 129 124 128 129 SP SD: 0.3061 c. M: 0.5239 c. 635: 119 131 125 130 130 SP SD: 0.2979 c. M:-0.4094 c. 640: 120 132 126 131 131 SP SD: 0.2951 c. M:-0.4687 c. 645: 121 133 127 132 132 SP SD: 0.3101 c. M:-0.5271 c. 650: 122 134 128 133 133 SP SD: 0.3399 c. M:-0.5846 c. 667: 125 137 132 136 137 SP SD: 0.3940 c. M: 0.6717 c. 668: 125 138 132 136 137 SP SD: 0.3872 c. M:-0.5374 c. 672: 126 138 133 137 138 SP SD: 0.3446 c. M: 0.6071 c. 677: 127 139 134 138 139 SP SD: 0.3051 c. M: 0.5436 c. 682: 128 140 135 139 140 SP SD: 0.2788 c. M: 0.4809 c. 687: 129 141 136 140 141 SP SD: 0.2688 c. M: 0.4192 c. 689: 129 142 136 141 141 SP SD: 0.2663 c. M:-0.4035 c. 692: 130 142 137 141 142 SP SD: 0.2761 c. M:-0.3728 c. 694: 130 143 137 142 142 SP SD: 0.2400 c. M:-0.4438 c. 699: 131 144 138 143 143 SP SD: 0.2319 c. M:-0.4835 c. 704: 132 145 139 144 144 SP SD: 0.2430 c. M:-0.5227 c. 709: 133 146 140 145 145 SP SD: 0.2703 c. M:-0.5614 c. 714: 134 147 141 146 146 SP SD: 0.3089 c. M:-0.5994 c. 752: 141 155 148 154 154 SP SD: 0.2971 c. M: 0.5372 c. 757: 142 156 149 155 155 SP SD: 0.2883 c. M: 0.4610 c. 775: 145 160 153 158 159 SP SD: 0.2875 c. M: 0.5484 c. 780: 146 161 154 159 160 SP SD: 0.2623 c. M: 0.4487 c. 785: 147 162 155 160 161 SP SD: 0.2501 c. M: 0.3503 c. 806: 151 166 159 165 165 SP SD: 0.2451 c. M: 0.3623 c. 811: 152 167 160 166 166 SP SD: 0.2169 c. M:-0.3539 c. 816: 153 168 161 167 167 SP SD: 0.2026 c. M:-0.3885 c. 821: 154 169 162 168 168 SP SD: 0.2044 c. M:-0.4227 c. 826: 155 170 163 169 169 SP SD: 0.2215 c. M:-0.4564 c. 831: 156 171 164 170 170 SP SD: 0.2502 c. M:-0.4898 c. 892: 167 184 176 182 183 SP SD: 0.2187 c. M: 0.4002 c. 897: 168 185 177 183 184 SP SD: 0.1870 c. M: 0.3144 c. 902: 169 186 178 184 185 SP SD: 0.1668 c. M:-0.2517 c. 907: 170 187 179 185 186 SP SD: 0.1621 c. M:-0.2944 c. 912: 171 188 180 186 187 SP SD: 0.1736 c. M:-0.3366 c. 961: 180 198 190 196 197 SP SD: 0.1652 c. M: 0.2976 c. 966: 181 199 191 197 198 SP SD: 0.1564 c. M:-0.2723 c. 971: 182 200 192 198 199 SP SD: 0.1625 c. M:-0.3275 c. 1014: 190 209 200 207 208 SP SD: 0.1615 c. M: 0.2110 c. 1019: 191 210 201 208 209 SP SD: 0.1359 c. M:-0.1953 c. 1024: 192 211 202 209 210 SP SD: 0.1236 c. M:-0.2334 c. 1029: 193 212 203 210 211 SP SD: 0.1278 c. M:-0.2711 c. 1073: 201 221 212 219 220 SP SD: 0.1312 c. M: 0.2731 c. 1078: 202 222 213 220 221 SP SD: 0.0965 c. M: 0.2022 c. 1083: 203 223 214 221 222 SP SD: 0.0733 c. M: 0.1320 c. 1088: 204 224 215 222 223 SP SD: 0.0725 c. M:-0.1461 c. 1195: 224 246 236 244 245 SP SD: 0.0790 c. M: 0.1255 c. 1200: 225 247 237 245 246 SP SD: 0.0394 c. M: 0.0625 c. 1205: 226 248 238 246 247 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 5.0000 cents 2 x x 3 x 4 S SD: 5.6103 cents 3 x 4 x 5:6 S SD: 25.8762 cents 4 x 5:6:7:8 S SD: 22.2654 cents 6:7:8:9:10:12 S SD: 17.6607 cents 7:8:9:11:12:14 SD: 16.9162 cents 8:9:11:12:14:16 SD: 16.3819 cents 10:11:13:15:17:20 SD: 15.2144 cents 12:14:16:18:21:24 S SD: 9.9834 cents 14:16:18:21:24:28 S SD: 9.5618 cents 15:17:20:23:26:30 SD: 7.7645 cents 16:18:21:24:28:32 S SD: 5.4459 cents 22:25:29:33:38:44 SD: 3.4951 cents 35:40:46:53:61:70 SD: 2.0694 cents 51:58:67:77:89:102 SD: 1.7417 cents 57:65:75:86:99:114 SD: 1.1515 cents 108:123:142:163:188:217 SD: 0.7153 cents 130:148:171:196:226:261 SD: 0.5328 cents 165:188:217:249:287:331 SD: 0.1269 cents 517:589:680:780:899:1037 SD: 0.1131 cents