Scala analysis: Indonesia_Precet
Precet (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: 261.000 cents 261.000000 2: 519.000 cents 519.000000 3: 739.000 cents 739.000000 4: 995.000 cents 995.000000 5: 1235.000 cents 1235.000000
SHOW/INTERVAL
0: 240.0000 cents 240.0000 1: 261.0000 cents 261.0000 2: 258.0000 cents 258.0000 3: 220.0000 cents 220.0000 4: 256.0000 cents 256.0000 5: 240.0000 cents 240.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 220.00000 cents 1: 1 240.00000 cents 1: 1 256.00000 cents 1: 1 258.00000 cents 1: 1 261.00000 cents 2: 1 476.00000 cents 2: 1 478.00000 cents 2: 1 496.00000 cents 2: 1 501.00000 cents 2: 1 519.00000 cents 3: 1 716.00000 cents 3: 1 734.00000 cents 3: 1 739.00000 cents 3: 1 757.00000 cents 3: 1 759.00000 cents 4: 1 974.00000 cents 4: 1 977.00000 cents 4: 1 979.00000 cents 4: 1 995.00000 cents 4: 1 1015.00000 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 : 261.0 519.0 739.0 995.0 1235.0 261.0 : 258.0 478.0 734.0 974.0 1235.0 519.0 : 220.0 476.0 716.0 977.0 1235.0 739.0 : 256.0 496.0 757.0 1015.0 1235.0 995.0 : 240.0 501.0 759.0 979.0 1235.0 1235.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 220.0000 .. 261.0000 cents 41.00000 cents 220.00000 cents 2: 476.0000 .. 519.0000 cents 43.00000 cents 215.00000 cents 3: 716.0000 .. 759.0000 cents 43.00000 cents 197.00000 cents 4: 974.0000 .. 1015.0000 cents 41.00000 cents 215.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 220.00000 cents, class 1 Average step (divided formal octave): 247.0000 cents Largest one step interval : 261.00000 cents Average / Smallest step : 1.122727 Largest / Average step : 1.056680 Largest / Smallest step : 1.186364 Median interval of one step : 256.00000 cents, amount: 1 Least squares average step : 248.56364 cents, oct.: 1242.81818 cents Scale is strictly proper Scale is a mode of a 1235-tone equal temperament with octave 1235.000 cents degrees: 261 519 739 995 1235 Least number of segments generator : 618 of 618.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 737 of 737.000 cents and inv. generated superset size: 188 = 183 more = 3760.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EDACB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 197.00000 cents Scale diversity : 1.128892 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.863968 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 : 2.00000 cents Number of recognisable fifths : 1, average 716.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 2, average 498.5000 cents Best fifths 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 43.0000 cents: 1 3 4 Limited inverse transpositions with margin 43.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 13.2212 c. M: 25.0000 c. 19: 4 4 3 4 4 SP M ME I SD: 13.9857 c. M: 24.0000 c. Quasi-equal Pentatonic, Semaphore-5 22: 5 4 4 5 4 SP M ME S SD: 13.4242 c. M:-19.6818 c. Septimal Minor Pentatonic, Supra-5 23: 5 5 4 5 4 SP M ME S SD: 15.3399 c. M:-25.2174 c. 24: 5 5 4 5 5 SP M ME I SD: 11.6413 c. M: 18.5833 c. Quasi-equal Pentatonic, Semaphore-5 27: 6 5 5 6 5 SP M ME S SD: 11.0520 c. M: 15.8519 c. Septimal Minor Pentatonic, Supra-5 28: 6 6 5 6 5 SP M ME S SD: 11.0908 c. M:-19.4643 c. 29: 6 6 5 6 6 SP M ME I SD: 10.5861 c. M: 15.5172 c. Quasi-equal Pentatonic, Semaphore-5 30: 6 7 5 6 6 SP T3 SD: 10.1031 c. M:-16.1667 c. 32: 7 6 6 7 6 SP M ME S SD: 9.8628 c. M: 17.2813 c. Septimal Minor Pentatonic 33: 7 7 6 7 6 SP M ME S SD: 8.4160 c. M:-15.4545 c. 34: 7 7 6 7 7 SP M ME I SD: 10.1535 c. M: 14.2647 c. Quasi-equal Pentatonic 35: 7 8 6 7 7 SP T3 SD: 8.4237 c. M: 14.0000 c. 37: 8 8 6 8 7 SP T3 SD: 8.0641 c. M:-15.0541 c. 38: 8 8 7 8 7 SP M ME S SD: 6.7897 c. M:-12.5000 c. 42: 9 9 7 9 8 SP T3 SD: 5.6001 c. M:-10.2857 c. 43: 9 9 8 9 8 SP M ME S SD: 5.9174 c. M:-10.2326 c. 47: 10 10 8 10 9 SP T3 SD: 3.7069 c. M:-6.5319 c. 52: 11 11 9 11 10 SP T3 SD: 2.2858 c. M:-3.5000 c. 57: 12 12 10 12 11 SP T3 SD: 1.4298 c. M: 2.3333 c. 62: 13 13 11 13 12 SP T3 SD: 1.4333 c. M: 2.0484 c. 119: 25 25 21 25 23 SP T3 SD: 1.3209 c. M: 2.1513 c. 155: 33 32 28 32 30 SP SD: 1.4061 c. M:-2.0000 c. 164: 35 34 29 34 32 SP SD: 1.3365 c. M:-2.5671 c. 169: 36 35 30 35 33 SP SD: 1.1420 c. M:-2.0769 c. 174: 37 36 31 36 34 SP SD: 1.0782 c. M:-1.6149 c. 179: 38 37 32 37 35 SP SD: 1.1433 c. M: 1.5419 c. 190: 40 40 34 39 37 SP SD: 1.1180 c. M:-2.0000 c. 202: 43 42 36 42 39 SP SD: 1.1909 c. M:-1.8960 c. 207: 44 43 37 43 40 SP SD: 0.9768 c. M:-1.5121 c. 212: 45 44 38 44 41 SP SD: 0.8521 c. M:-1.1557 c. 217: 46 45 39 45 42 SP SD: 0.8388 c. M: 1.0968 c. 231: 49 48 41 48 45 SP SD: 0.7624 c. M: 1.2078 c. 247: 52 52 44 51 48 SP SD: 0.7746 c. M:-1.0000 c. 252: 53 53 45 52 49 SP SD: 0.7584 c. M: 1.2579 c. 264: 56 55 47 55 51 SP SD: 0.7801 c. M:-1.4205 c. 269: 57 56 48 56 52 SP SD: 0.6551 c. M:-1.2639 c. 274: 58 57 49 57 53 SP SD: 0.6154 c. M:-1.1131 c. 304: 64 64 54 63 59 SP SD: 0.6691 c. M:-1.0000 c. 309: 65 65 55 64 60 SP SD: 0.6323 c. M: 1.2104 c. 331: 70 69 59 69 64 SP SD: 0.5813 c. M:-1.2085 c. 354: 75 74 63 73 69 SP SD: 0.6287 c. M:-0.8164 c. 359: 76 75 64 74 70 SP SD: 0.5388 c. M: 0.8078 c. 364: 77 76 65 75 71 SP SD: 0.5068 c. M: 0.8929 c. 411: 87 86 73 85 80 SP SD: 0.4644 c. M:-0.8418 c. 416: 88 87 74 86 81 SP SD: 0.3499 c. M:-0.5313 c. 421: 89 88 75 87 82 SP SD: 0.2879 c. M: 0.5463 c. 426: 90 89 76 88 83 SP SD: 0.3055 c. M: 0.6221 c. 473: 100 99 84 98 92 SP SD: 0.2856 c. M:-0.5877 c. 478: 101 100 85 99 93 SP SD: 0.1944 c. M:-0.3201 c. 483: 102 101 86 100 94 SP SD: 0.1824 c. M: 0.3520 c. 540: 114 113 96 112 105 SP SD: 0.2018 c. M: 0.2870 c. 545: 115 114 97 113 106 SP SD: 0.2366 c. M: 0.4037 c. 685: 145 143 122 142 133 SP SD: 0.2533 c. M:-0.4234 c. 690: 146 144 123 143 134 SP SD: 0.1869 c. M:-0.3188 c. 695: 147 145 124 144 135 SP SD: 0.1568 c. M:-0.2230 c. 747: 158 156 133 155 145 SP SD: 0.1674 c. M:-0.2744 c. 752: 159 157 134 156 146 SP SD: 0.1172 c. M:-0.2261 c. 757: 160 158 135 157 147 SP SD: 0.1228 c. M: 0.2021 c. 1168: 247 244 208 242 227 SP SD: 0.1145 c. M:-0.1687 c. 1173: 248 245 209 243 228 SP SD: 0.0758 c. M:-0.1083 c. 1178: 249 246 210 244 229 SP SD: 0.0692 c. M:-0.1129 c. 1230: 260 257 219 255 239 SP SD: 0.0537 c. M:-0.1016 c. 1235: 261 258 220 256 240 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 35.0000 cents 2 x x 3 x 4 S SD: 25.4820 cents 3 x 4 x 5:6 S SD: 39.3073 cents 4:5 x 6:7:8 S SD: 34.4474 cents 5:6:7:8:9:10 H SD: 23.9442 cents 6:7:8:9:11:12 SD: 15.5258 cents 11:13:15:17:20:22 SD: 12.8949 cents 12:14:16:18:21:24 S SD: 12.2572 cents 13:15:18:20:23:27 SD: 11.2510 cents 14:16:19:21:25:29 SD: 11.1290 cents 17:20:23:26:30:35 SD: 5.6991 cents 23:27:31:35:41:47 SD: 4.3174 cents 26:30:35:40:46:53 SD: 3.4514 cents 32:37:43:49:57:65 SD: 3.0826 cents 43:50:58:66:76:88 SD: 2.1224 cents 49:57:66:75:87:100 SD: 0.8395 cents 117:136:158:179:208:239 SD: 0.7313 cents 143:166:193:219:254:292 SD: 0.6364 cents 148:172:200:227:263:302 SD: 0.5791 cents 171:199:231:262:304:349 SD: 0.5072 cents 197:229:266:302:350:402 SD: 0.2343 cents 246:286:332:377:437:502 SD: 0.0688 cents