Scala analysis: Indonesia_Manisrengga
Manisrengga (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: 486.000 cents 486.000000 3: 733.000 cents 733.000000 4: 974.000 cents 974.000000 5: 1231.000 cents 1231.000000
SHOW/INTERVAL
0: 257.0000 cents 257.0000 1: 236.0000 cents 236.0000 2: 250.0000 cents 250.0000 3: 247.0000 cents 247.0000 4: 241.0000 cents 241.0000 5: 257.0000 cents 257.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 236.00000 cents 1: 1 241.00000 cents 1: 1 247.00000 cents 1: 1 250.00000 cents 1: 1 257.00000 cents 2: 1 486.00000 cents 2: 1 488.00000 cents 2: 1 493.00000 cents 2: 1 497.00000 cents 2: 1 498.00000 cents 3: 1 733.00000 cents 3: 1 734.00000 cents 3: 1 738.00000 cents 3: 1 743.00000 cents 3: 1 745.00000 cents 4: 1 974.00000 cents 4: 1 981.00000 cents 4: 1 984.00000 cents 4: 1 990.00000 cents 4: 1 995.00000 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 : 236.0 486.0 733.0 974.0 1231.0 236.0 : 250.0 497.0 738.0 995.0 1231.0 486.0 : 247.0 488.0 745.0 981.0 1231.0 733.0 : 241.0 498.0 734.0 984.0 1231.0 974.0 : 257.0 493.0 743.0 990.0 1231.0 1231.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 236.0000 .. 257.0000 cents 21.00000 cents 236.00000 cents 2: 486.0000 .. 498.0000 cents 12.00000 cents 229.00000 cents 3: 733.0000 .. 745.0000 cents 12.00000 cents 235.00000 cents 4: 974.0000 .. 995.0000 cents 21.00000 cents 229.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 236.00000 cents, class 1 Average step (divided formal octave): 246.2000 cents Largest one step interval : 257.00000 cents Average / Smallest step : 1.043220 Largest / Average step : 1.043867 Largest / Smallest step : 1.088983 Median interval of one step : 247.00000 cents, amount: 1 Least squares average step : 244.69091 cents, oct.: 1223.45455 cents Scale is strictly proper Scale is a mode of a 1231-tone equal temperament with octave 1231.000 cents degrees: 236 486 733 974 1231 Least number of segments generator : 616 of 616.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 985 of 985.000 cents and inv. generated superset size: 55 = 50 more = 1100.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ADCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 229.00000 cents Scale diversity : 1.032018 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.946385 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 : 5, average 492.4000 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 21.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 16.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 7.6551 c. M:-10.8000 c. 37: 7 8 7 7 8 SP M ME S SD: 7.2818 c. M:-13.0541 c. 38: 7 8 8 7 8 SP M ME S SD: 6.8685 c. M:-12.0789 c. 42: 8 9 8 8 9 SP M ME S SD: 6.3054 c. M:-12.2619 c. 43: 8 9 9 8 9 SP M ME S SD: 5.9636 c. M:-11.3256 c. 46: 9 9 9 9 10 SP M ME S SD: 7.2652 c. M: 10.6087 c. 47: 9 10 9 9 10 SP M ME S SD: 5.6536 c. M:-11.6383 c. 48: 9 10 10 9 10 SP M ME S SD: 5.3653 c. M:-10.7292 c. 49: 9 10 10 10 10 SP M ME S SD: 6.7283 c. M: 9.8980 c. 51: 10 10 10 10 11 SP M ME S SD: 6.1769 c. M: 8.8824 c. 52: 10 11 10 10 11 SP M ME S SD: 5.2316 c. M:-11.1346 c. 53: 10 11 11 10 11 SP M ME S SD: 4.9856 c. M:-10.2453 c. 54: 10 11 11 11 11 SP M ME S SD: 5.8118 c. M: 8.0370 c. 56: 11 11 11 11 12 SP M ME S SD: 5.3488 c. M: 7.5893 c. 57: 11 12 11 11 12 SP M ME S SD: 4.9727 c. M:-10.7193 c. 58: 11 12 12 11 12 SP M ME S SD: 4.7608 c. M:-9.8448 c. 61: 12 12 12 12 13 SP M ME S SD: 4.7267 c. M: 6.5082 c. 62: 12 12 13 12 13 SP M ME S SD: 4.4483 c. M: 9.4839 c. 63: 12 13 13 12 13 SP M ME S SD: 4.6441 c. M:-9.5079 c. 64: 12 13 13 13 13 SP M ME S SD: 4.6058 c. M:-6.9531 c. 66: 13 13 13 13 14 SP M ME S SD: 4.2714 c. M:-6.4697 c. 67: 13 13 14 13 14 SP M ME S SD: 4.0187 c. M: 8.2985 c. 71: 14 14 14 14 15 SP M ME S SD: 3.9524 c. M:-6.7324 c. 72: 14 14 15 14 15 SP M ME S SD: 3.7232 c. M: 7.2778 c. 77: 15 15 16 15 16 SP M ME S SD: 3.5366 c. M: 6.3896 c. 79: 15 16 16 15 17 SP D3 S SD: 3.9147 c. M: 7.8987 c. 82: 16 16 17 16 17 SP M ME S SD: 3.4360 c. M: 5.6098 c. 84: 16 17 17 16 18 SP D3 S SD: 3.2913 c. M: 6.7857 c. 87: 17 17 18 17 18 SP M ME S SD: 3.4008 c. M: 4.9195 c. 89: 17 18 18 17 19 SP D3 S SD: 2.7558 c. M: 5.7978 c. 92: 18 18 19 18 19 SP M ME S SD: 3.4135 c. M:-4.8478 c. 94: 18 19 19 18 20 SP D3 S SD: 2.3016 c. M: 4.9149 c. 99: 19 20 20 19 21 SP D3 S SD: 1.9269 c. M: 4.1212 c. 104: 20 21 21 20 22 SP D3 S SD: 1.6347 c. M: 3.4038 c. 109: 21 22 22 21 23 SP D3 S SD: 1.4315 c. M: 2.7523 c. 114: 22 23 23 22 24 SP D3 S SD: 1.3222 c. M: 2.1579 c. 119: 23 24 24 23 25 SP D3 S SD: 1.3024 c. M:-1.9244 c. 124: 24 25 25 24 26 SP D3 S SD: 1.3556 c. M:-2.2581 c. 129: 25 26 26 25 27 SP D3 S SD: 1.4589 c. M:-2.5659 c. 134: 26 27 27 26 28 SP D3 S SD: 1.5920 c. M:-2.8507 c. 163: 31 33 33 32 34 SP SD: 1.4753 c. M: 2.6626 c. 168: 32 34 34 33 35 SP SD: 1.2969 c. M: 2.3929 c. 173: 33 35 35 34 36 SP SD: 1.1567 c. M: 2.1387 c. 178: 34 36 36 35 37 SP SD: 1.0591 c. M: 1.8989 c. 183: 35 37 37 36 38 SP SD: 1.0072 c. M: 1.6721 c. 188: 36 38 38 37 39 SP SD: 0.9998 c. M:-1.6330 c. 200: 38 41 40 39 42 SP SD: 1.1917 c. M: 2.1100 c. 203: 39 41 41 40 42 SP SD: 1.1760 c. M:-2.3103 c. 205: 39 42 41 40 43 SP SD: 1.0059 c. M: 1.8098 c. 210: 40 43 42 41 44 SP SD: 0.8407 c. M: 1.5238 c. 215: 41 44 43 42 45 SP SD: 0.7014 c. M: 1.2512 c. 220: 42 45 44 43 46 SP SD: 0.5970 c. M: 0.9909 c. 225: 43 46 45 44 47 SP SD: 0.5386 c. M:-0.9289 c. 230: 44 47 46 45 48 SP SD: 0.5335 c. M:-1.0478 c. 235: 45 48 47 46 49 SP SD: 0.5765 c. M:-1.1617 c. 240: 46 49 48 47 50 SP SD: 0.6532 c. M:-1.2708 c. 287: 55 58 58 56 60 SP SD: 0.6453 c. M: 1.3206 c. 292: 56 59 59 57 61 SP SD: 0.5895 c. M: 1.1884 c. 297: 57 60 60 58 62 SP SD: 0.5624 c. M: 1.0606 c. 307: 59 62 62 60 64 SP SD: 0.5937 c. M: 0.8176 c. 329: 63 67 66 64 69 SP SD: 0.5924 c. M: 1.1733 c. 334: 64 68 67 65 70 SP SD: 0.5384 c. M: 0.9940 c. 339: 65 69 68 66 71 SP SD: 0.5076 c. M: 0.8201 c. 344: 66 70 69 67 72 SP SD: 0.5019 c. M:-0.6744 c. 349: 67 71 70 68 73 SP SD: 0.5201 c. M:-0.7564 c. 354: 68 72 71 69 74 SP SD: 0.5579 c. M:-0.8362 c. 359: 69 73 72 70 75 SP SD: 0.6103 c. M:-0.9136 c. 388: 74 79 78 76 81 SP SD: 0.6068 c. M: 1.2216 c. 393: 75 80 79 77 82 SP SD: 0.5336 c. M: 1.0763 c. 398: 76 81 80 78 83 SP SD: 0.4731 c. M: 0.9347 c. 403: 77 82 81 79 84 SP SD: 0.4287 c. M: 0.7965 c. 408: 78 83 82 80 85 SP SD: 0.4041 c. M: 0.6618 c. 413: 79 84 83 81 86 SP SD: 0.4011 c. M:-0.6659 c. 464: 89 94 93 91 97 SP SD: 0.4400 c. M: 0.7672 c. 469: 90 95 94 92 98 SP SD: 0.3925 c. M: 0.6994 c. 474: 91 96 95 93 99 SP SD: 0.3594 c. M: 0.6329 c. 479: 92 97 96 94 100 SP SD: 0.3437 c. M: 0.5678 c. 484: 93 98 97 95 101 SP SD: 0.3463 c. M:-0.5351 c. 502: 96 102 101 98 105 SP SD: 0.4093 c. M: 0.5896 c. 507: 97 103 102 99 106 SP SD: 0.3450 c. M: 0.4832 c. 512: 98 104 103 100 107 SP SD: 0.2890 c. M: 0.3789 c. 517: 99 105 104 101 108 SP SD: 0.2457 c. M:-0.3617 c. 522: 100 106 105 102 109 SP SD: 0.2210 c. M:-0.4119 c. 527: 101 107 106 103 110 SP SD: 0.2197 c. M:-0.4611 c. 532: 102 108 107 104 111 SP SD: 0.2410 c. M:-0.5094 c. 689: 132 140 138 135 144 SP SD: 0.2567 c. M: 0.4746 c. 694: 133 141 139 136 145 SP SD: 0.2156 c. M: 0.4308 c. 699: 134 142 140 137 146 SP SD: 0.1834 c. M: 0.3877 c. 704: 135 143 141 138 147 SP SD: 0.1645 c. M: 0.3452 c. 709: 136 144 142 139 148 SP SD: 0.1627 c. M: 0.3032 c. 714: 137 145 143 140 149 SP SD: 0.1779 c. M: 0.2619 c. 887: 170 180 178 174 185 SP SD: 0.1947 c. M: 0.2616 c. 892: 171 181 179 175 186 SP SD: 0.1929 c. M:-0.3117 c. 929: 178 189 186 182 194 SP SD: 0.1836 c. M:-0.3046 c. 934: 179 190 187 183 195 SP SD: 0.1788 c. M:-0.3373 c. 986: 189 200 198 193 206 SP SD: 0.1863 c. M: 0.3418 c. 991: 190 201 199 194 207 SP SD: 0.1582 c. M: 0.3078 c. 996: 191 202 200 195 208 SP SD: 0.1360 c. M: 0.2741 c. 1001: 192 203 201 196 209 SP SD: 0.1226 c. M: 0.2408 c. 1006: 193 204 202 197 210 SP SD: 0.1205 c. M: 0.2078 c. 1112: 213 226 223 218 232 SP SD: 0.1394 c. M: 0.2059 c. 1117: 214 227 224 219 233 SP SD: 0.1349 c. M:-0.2202 c. 1206: 231 245 242 236 252 SP SD: 0.1587 c. M: 0.2239 c. 1211: 232 246 243 237 253 SP SD: 0.1264 c. M: 0.1784 c. 1216: 233 247 244 238 254 SP SD: 0.0944 c. M: 0.1332 c. 1221: 234 248 245 239 255 SP SD: 0.0627 c. M: 0.0885 c. 1226: 235 249 246 240 256 SP SD: 0.0312 c. M: 0.0440 c. 1231: 236 250 247 241 257 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 31.0000 cents 2 x x 3 x 4 S SD: 21.9362 cents 3 x 4 x 5:6 S SD: 31.8706 cents 4 x 5:6:7:8 S SD: 27.2591 cents 6:7:8:9:11:12 SD: 18.6574 cents 7:8:9:11:12:14 SD: 17.5461 cents 8:9:11:12:14:16 SD: 17.0268 cents 9:10:12:14:16:18 S SD: 14.8125 cents 12:14:16:18:21:24 S SD: 11.0447 cents 13:15:17:20:23:26 SD: 8.7560 cents 15:17:20:23:26:31 SD: 8.2553 cents 19:22:25:29:33:39 SD: 6.2104 cents 21:24:28:32:37:43 SD: 3.5808 cents 28:32:37:43:49:57 SD: 2.4999 cents 34:39:45:52:60:69 SD: 2.2716 cents 49:56:65:75:86:100 SD: 1.6092 cents 61:70:81:93:107:124 SD: 1.3740 cents 74:85:98:113:130:151 SD: 1.1271 cents 89:102:118:136:156:181 SD: 0.8104 cents 123:141:163:188:216:250 SD: 0.7673 cents 136:156:180:208:239:277 SD: 0.7515 cents 142:163:188:217:249:289 SD: 0.7098 cents 163:187:216:249:286:332 SD: 0.4971 cents 192:220:254:293:337:391 SD: 0.4043 cents 241:276:319:368:423:491 SD: 0.3438 cents 275:315:364:420:483:560 SD: 0.3127 cents 281:322:372:429:493:572 SD: 0.2221 cents 336:385:445:513:590:684 SD: 0.2061 cents 355:407:470:542:623:723 SD: 0.1907 cents 364:417:482:556:639:741 SD: 0.1782 cents 417:478:552:637:732:849 SD: 0.1578 cents 438:502:580:669:769:892 SD: 0.1333 cents