Scala analysis: Indonesia_Madukentir
Madukentir (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: 237.000 cents 237.000000 2: 466.000 cents 466.000000 3: 722.000 cents 722.000000 4: 964.000 cents 964.000000 5: 1213.000 cents 1213.000000
SHOW/INTERVAL
0: 249.0000 cents 249.0000 1: 237.0000 cents 237.0000 2: 229.0000 cents 229.0000 3: 256.0000 cents 256.0000 4: 242.0000 cents 242.0000 5: 249.0000 cents 249.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 229.00000 cents 1: 1 237.00000 cents 1: 1 242.00000 cents 1: 1 249.00000 cents 1: 1 256.00000 cents 2: 1 466.00000 cents 2: 1 485.00000 cents 2: 1 486.00000 cents 2: 1 491.00000 cents 2: 1 498.00000 cents 3: 1 715.00000 cents 3: 1 722.00000 cents 3: 1 727.00000 cents 3: 1 728.00000 cents 3: 1 747.00000 cents 4: 1 957.00000 cents 4: 1 964.00000 cents 4: 1 971.00000 cents 4: 1 976.00000 cents 4: 1 984.00000 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 : 237.0 466.0 722.0 964.0 1213.0 237.0 : 229.0 485.0 727.0 976.0 1213.0 466.0 : 256.0 498.0 747.0 984.0 1213.0 722.0 : 242.0 491.0 728.0 957.0 1213.0 964.0 : 249.0 486.0 715.0 971.0 1213.0 1213.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 229.0000 .. 256.0000 cents 27.00000 cents 229.00000 cents 2: 466.0000 .. 498.0000 cents 32.00000 cents 210.00000 cents 3: 715.0000 .. 747.0000 cents 32.00000 cents 217.00000 cents 4: 957.0000 .. 984.0000 cents 27.00000 cents 210.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 229.00000 cents, class 1 Average step (divided formal octave): 242.6000 cents Largest one step interval : 256.00000 cents Average / Smallest step : 1.059389 Largest / Average step : 1.055235 Largest / Smallest step : 1.117904 Median interval of one step : 242.00000 cents, amount: 1 Least squares average step : 241.01818 cents, oct.: 1205.09091 cents Scale is strictly proper Scale is a mode of a 1213-tone equal temperament with octave 1213.000 cents degrees: 237 466 722 964 1213 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 728 of 728.000 cents and inv. generated superset size: 97 = 92 more = 1940.000% 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 210.00000 cents Scale diversity : 1.107282 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.902721 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 : 1, average 715.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 4, average 490.0000 cents Number of appreciable fourths : 3, average 491.6667 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 32.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 32.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 9.7427 c. M:-19.2000 c. 24: 5 4 5 5 5 SP M ME S SD: 10.8822 c. M:-15.7083 c. 29: 6 5 6 6 6 SP M ME S SD: 8.4042 c. M:-13.9655 c. 32: 6 6 7 6 7 SP M ME S SD: 9.8539 c. M: 16.3437 c. 34: 7 6 7 7 7 SP M ME S SD: 6.9187 c. M:-12.7353 c. 37: 7 7 8 7 8 SP M ME S SD: 7.5167 c. M: 13.2703 c. 39: 8 7 8 8 8 SP M ME S SD: 6.0688 c. M:-11.8205 c. 40: 8 7 9 8 8 SP T3 SD: 6.7783 c. M: 11.1250 c. 42: 8 8 9 8 9 SP M ME S SD: 5.8329 c. M: 10.9286 c. 44: 9 8 9 9 9 SP M ME S SD: 5.6337 c. M:-11.1136 c. 45: 9 8 10 9 9 SP T3 SD: 5.7638 c. M: 7.7556 c. 47: 9 9 10 9 10 SP M ME S SD: 4.6336 c. M: 9.0851 c. 50: 10 9 11 10 10 SP T3 SD: 5.1296 c. M:-6.4000 c. 52: 10 10 11 10 11 SP M ME S SD: 3.8262 c. M: 7.5962 c. 55: 11 10 12 11 11 SP T3 SD: 4.7772 c. M:-6.4000 c. 57: 11 11 12 11 12 SP M ME S SD: 3.3512 c. M: 6.3684 c. 62: 12 12 13 12 13 SP M ME S SD: 3.1499 c. M: 5.3387 c. 67: 13 13 14 13 14 SP M ME S SD: 3.1497 c. M:-4.7164 c. 83: 16 16 17 17 17 SP D3 S SD: 3.0927 c. M: 5.8916 c. 86: 17 16 18 17 18 SP T3 SD: 2.7915 c. M: 4.8837 c. 91: 18 17 19 18 19 SP T3 SD: 2.5262 c. M: 4.2637 c. 96: 19 18 20 19 20 SP T3 SD: 2.3937 c. M: 3.7083 c. 97: 19 18 21 19 20 SP SD: 2.1637 c. M: 3.3093 c. 101: 20 19 21 20 21 SP T3 SD: 2.3744 c. M: 3.2079 c. 102: 20 19 22 20 21 SP SD: 1.8881 c. M:-3.4216 c. 107: 21 20 23 21 22 SP SD: 1.7453 c. M:-3.5327 c. 112: 22 21 24 22 23 SP SD: 1.7268 c. M:-3.6339 c. 117: 23 22 25 23 24 SP SD: 1.8067 c. M:-3.7265 c. 122: 24 23 26 24 25 SP SD: 1.9518 c. M:-3.8115 c. 123: 24 23 26 25 25 SP SD: 1.8289 c. M: 2.4959 c. 128: 25 24 27 26 26 SP SD: 1.5941 c. M:-2.6094 c. 133: 26 25 28 27 27 SP SD: 1.4543 c. M:-2.7519 c. 138: 27 26 29 28 28 SP SD: 1.4114 c. M:-2.8841 c. 143: 28 27 30 29 29 SP SD: 1.4536 c. M:-3.0070 c. 148: 29 28 31 30 30 SP SD: 1.5588 c. M:-3.1216 c. 165: 32 31 35 33 34 SP SD: 1.7046 c. M: 2.8545 c. 169: 33 32 36 33 35 SP SD: 1.6605 c. M:-2.9290 c. 170: 33 32 36 34 35 SP SD: 1.3818 c. M: 2.2059 c. 175: 34 33 37 35 36 SP SD: 1.0842 c. M: 1.5943 c. 180: 35 34 38 36 37 SP SD: 0.8157 c. M: 1.1389 c. 185: 36 35 39 37 38 SP SD: 0.5889 c. M: 0.9568 c. 190: 37 36 40 38 39 SP SD: 0.4379 c. M: 0.7842 c. 195: 38 37 41 39 40 SP SD: 0.4205 c. M: 0.6205 c. 375: 73 71 79 75 77 SP SD: 0.5004 c. M: 0.8693 c. 385: 75 73 81 77 79 SP SD: 0.4100 c. M: 0.7013 c. 435: 85 82 92 87 89 SP SD: 0.4073 c. M:-0.8230 c. 445: 87 84 94 89 91 SP SD: 0.4597 c. M:-0.9483 c. 477: 93 90 101 95 98 SP SD: 0.3857 c. M: 0.6352 c. 482: 94 91 102 96 99 SP SD: 0.3059 c. M: 0.4398 c. 487: 95 92 103 97 100 SP SD: 0.2462 c. M: 0.3778 c. 492: 96 93 104 98 101 SP SD: 0.2204 c. M:-0.3760 c. 677: 132 128 143 135 139 SP SD: 0.2331 c. M: 0.4919 c. 682: 133 129 144 136 140 SP SD: 0.2058 c. M: 0.4472 c. 687: 134 130 145 137 141 SP SD: 0.2020 c. M: 0.4032 c. 692: 135 131 146 138 142 SP SD: 0.2219 c. M: 0.3598 c. 711: 139 134 150 142 146 SP SD: 0.2027 c. M: 0.3418 c. 716: 140 135 151 143 147 SP SD: 0.1646 c. M: 0.2989 c. 721: 141 136 152 144 148 SP SD: 0.1504 c. M: 0.2566 c. 726: 142 137 153 145 149 SP SD: 0.1652 c. M:-0.2534 c. 901: 176 170 190 180 185 SP SD: 0.1980 c. M: 0.3929 c. 906: 177 171 191 181 186 SP SD: 0.1651 c. M: 0.3587 c. 911: 178 172 192 182 187 SP SD: 0.1459 c. M: 0.3249 c. 916: 179 173 193 183 188 SP SD: 0.1453 c. M: 0.2915 c. 1008: 197 190 213 201 207 SP SD: 0.1423 c. M: 0.2946 c. 1013: 198 191 214 202 208 SP SD: 0.1048 c. M: 0.1984 c. 1018: 199 192 215 203 209 SP SD: 0.0805 c. M:-0.1189 c. 1023: 200 193 216 204 210 SP SD: 0.0813 c. M:-0.1457 c. 1203: 235 227 254 240 247 SP SD: 0.0810 c. M: 0.1596 c. 1208: 236 228 255 241 248 SP SD: 0.0403 c. M: 0.0795 c. 1213: 237 229 256 242 249 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 13.0000 cents 2 x x 3 x 4 S SD: 11.9457 cents 3 x 4 x 5:6 S SD: 28.9417 cents 4 x 5:6:7:8 S SD: 20.8327 cents 6:7:8:9:10:12 S SD: 18.7965 cents 7:8:9:11:12:14 SD: 15.1935 cents 12:14:16:18:21:24 S SD: 10.0265 cents 13:15:17:20:23:26 SD: 7.5273 cents 19:22:25:29:33:38 SD: 5.3053 cents 27:31:35:41:47:54 SD: 4.3538 cents 33:38:43:50:58:66 SD: 4.1950 cents 35:40:46:53:61:71 SD: 3.0771 cents 39:45:51:59:68:79 SD: 3.0355 cents 42:48:55:64:73:85 SD: 2.7694 cents 48:55:63:73:84:97 SD: 1.8656 cents 62:71:81:94:108:125 SD: 1.0774 cents 75:86:98:114:131:151 SD: 0.9271 cents 110:126:144:167:192:222 SD: 0.6798 cents 129:148:169:196:225:260 SD: 0.6008 cents 149:171:195:226:260:300 SD: 0.4346 cents 184:211:241:279:321:371 SD: 0.4298 cents 191:219:250:290:333:385 SD: 0.4018 cents 197:226:258:299:344:397 SD: 0.3367 cents 259:297:339:393:452:522 SD: 0.0676 cents