Scala analysis: Indonesia_Harjawinangun
Harjawinangun (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: 240.000 cents 240.000000 2: 490.000 cents 490.000000 3: 725.000 cents 725.000000 4: 969.000 cents 969.000000 5: 1225.000 cents 1225.000000
SHOW/INTERVAL
0: 256.0000 cents 256.0000 1: 240.0000 cents 240.0000 2: 250.0000 cents 250.0000 3: 235.0000 cents 235.0000 4: 244.0000 cents 244.0000 5: 256.0000 cents 256.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 235.00000 cents 1: 1 240.00000 cents 1: 1 244.00000 cents 1: 1 250.00000 cents 1: 1 256.00000 cents 2: 1 479.00000 cents 2: 1 485.00000 cents 2: 1 490.00000 cents 2: 1 496.00000 cents 2: 1 500.00000 cents 3: 1 725.00000 cents 3: 1 729.00000 cents 3: 1 735.00000 cents 3: 1 740.00000 cents 3: 1 746.00000 cents 4: 1 969.00000 cents 4: 1 975.00000 cents 4: 1 981.00000 cents 4: 1 985.00000 cents 4: 1 990.00000 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 : 240.0 490.0 725.0 969.0 1225.0 240.0 : 250.0 485.0 729.0 985.0 1225.0 490.0 : 235.0 479.0 735.0 975.0 1225.0 725.0 : 244.0 500.0 740.0 990.0 1225.0 969.0 : 256.0 496.0 746.0 981.0 1225.0 1225.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 235.0000 .. 256.0000 cents 21.00000 cents 235.00000 cents 2: 479.0000 .. 500.0000 cents 21.00000 cents 223.00000 cents 3: 725.0000 .. 746.0000 cents 21.00000 cents 225.00000 cents 4: 969.0000 .. 990.0000 cents 21.00000 cents 223.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 235.00000 cents, class 1 Average step (divided formal octave): 245.0000 cents Largest one step interval : 256.00000 cents Average / Smallest step : 1.042553 Largest / Average step : 1.044898 Largest / Smallest step : 1.089362 Median interval of one step : 244.00000 cents, amount: 1 Least squares average step : 243.56364 cents, oct.: 1217.81818 cents Scale is strictly proper Scale is a mode of a 1225-tone equal temperament with octave 1225.000 cents degrees: 240 490 725 969 1225 Least number of segments generator : 613 of 613.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 872 of 872.000 cents and inv. generated superset size: 271 = 266 more = 5420.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BDACE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 223.00000 cents Scale diversity : 1.057423 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.931429 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 : 4.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 4, average 492.7500 cents Number of appreciable fourths : 3, average 495.3333 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 21.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 7.0143 c. M:-11.0000 c. 37: 7 8 7 7 8 SP M ME S SD: 6.3529 c. M: 8.8649 c. 42: 8 9 8 8 9 SP M ME S SD: 5.2552 c. M: 6.6667 c. 47: 9 10 9 9 10 SP M ME S SD: 4.4953 c. M: 5.4255 c. 52: 10 11 10 10 11 SP M ME S SD: 3.9889 c. M:-5.2885 c. 57: 11 12 11 11 12 SP M ME S SD: 3.6745 c. M:-5.7018 c. 61: 12 12 12 12 13 SP M ME S SD: 4.3670 c. M: 8.0328 c. 62: 12 13 12 12 13 SP M ME S SD: 3.5031 c. M:-6.0484 c. 66: 13 13 13 13 14 SP M ME S SD: 3.8179 c. M: 7.4242 c. 67: 13 14 13 13 14 SP M ME S SD: 3.4340 c. M:-6.3433 c. 71: 14 14 14 14 15 SP M ME S SD: 3.4062 c. M: 6.9014 c. 72: 14 15 14 14 15 SP M ME S SD: 3.4348 c. M:-6.5972 c. 73: 14 15 14 15 15 SP M ME S SD: 3.6624 c. M: 5.0685 c. 76: 15 15 15 15 16 SP M ME S SD: 3.1120 c. M: 6.4474 c. 77: 15 16 15 15 16 SP M ME S SD: 3.4810 c. M:-6.8182 c. 78: 15 16 15 16 16 SP M ME S SD: 3.4136 c. M:-4.7179 c. 81: 16 16 16 16 17 SP M ME S SD: 2.9176 c. M: 6.0494 c. 86: 17 17 17 17 18 SP M ME S SD: 2.8057 c. M: 5.6977 c. 91: 18 18 18 18 19 SP M ME S SD: 2.7594 c. M: 5.3846 c. 95: 19 19 18 19 20 SP T3 SD: 2.7192 c. M:-5.0000 c. 100: 20 20 19 20 21 SP T3 SD: 2.5150 c. M:-5.0000 c. 102: 20 21 19 21 21 SP T3 SD: 2.8166 c. M: 4.4118 c. 103: 20 21 20 20 22 SP T3 SD: 2.9115 c. M: 5.6505 c. 105: 21 21 20 21 22 SP T3 SD: 2.3758 c. M:-5.0000 c. 107: 21 22 20 22 22 SP T3 SD: 2.7003 c. M:-4.1308 c. 108: 21 22 21 21 23 SP T3 SD: 2.5719 c. M: 4.8796 c. 110: 22 22 21 22 23 SP T3 SD: 2.2939 c. M:-5.0000 c. 113: 22 23 22 22 24 SP T3 SD: 2.2879 c. M: 4.1770 c. 115: 23 23 22 23 24 SP T3 SD: 2.2604 c. M:-5.0000 c. 118: 23 24 23 23 25 SP T3 SD: 2.0583 c. M: 3.5339 c. 123: 24 25 24 24 26 SP T3 SD: 1.8821 c. M: 2.9431 c. 128: 25 26 25 25 27 SP T3 SD: 1.7584 c. M: 2.3984 c. 133: 26 27 26 26 28 SP T3 SD: 1.6844 c. M:-2.6316 c. 138: 27 28 27 27 29 SP T3 SD: 1.6552 c. M:-2.8986 c. 142: 28 29 27 28 30 SP SD: 1.6344 c. M: 2.8028 c. 147: 29 30 28 29 31 SP SD: 1.4832 c. M: 2.3333 c. 152: 30 31 29 30 32 SP SD: 1.3749 c. M: 1.8947 c. 157: 31 32 30 31 33 SP SD: 1.3095 c. M:-1.8790 c. 162: 32 33 31 32 34 SP SD: 1.2848 c. M:-1.9753 c. 167: 33 34 32 33 35 SP SD: 1.2959 c. M:-2.0659 c. 172: 34 35 33 34 36 SP SD: 1.3361 c. M:-2.1512 c. 177: 35 36 34 35 37 SP SD: 1.3982 c. M:-2.2316 c. 182: 36 37 35 36 38 SP SD: 1.4757 c. M:-2.3077 c. 183: 36 37 35 37 38 SP SD: 1.3864 c. M: 2.0492 c. 188: 37 38 36 38 39 SP SD: 1.3712 c. M:-1.8777 c. 200: 39 41 38 40 42 SP SD: 1.2562 c. M: 2.2500 c. 205: 40 42 39 41 43 SP SD: 1.0643 c. M: 1.9512 c. 210: 41 43 40 42 44 SP SD: 0.8851 c. M: 1.6667 c. 215: 42 44 41 43 45 SP SD: 0.7197 c. M: 1.3953 c. 220: 43 45 42 44 46 SP SD: 0.5714 c. M: 1.1364 c. 225: 44 46 43 45 47 SP SD: 0.4472 c. M: 0.8889 c. 230: 45 47 44 46 48 SP SD: 0.3613 c. M: 0.6522 c. 235: 46 48 45 47 49 SP SD: 0.3336 c. M:-0.5745 c. 465: 91 95 89 93 97 SP SD: 0.3391 c. M: 0.5376 c. 532: 104 109 102 106 111 SP SD: 0.3908 c. M: 0.5263 c. 537: 105 110 103 107 112 SP SD: 0.4161 c. M:-0.5065 c. 568: 111 116 109 113 119 SP SD: 0.4683 c. M: 0.6461 c. 573: 112 117 110 114 120 SP SD: 0.4147 c. M: 0.5585 c. 578: 113 118 111 115 121 SP SD: 0.3655 c. M: 0.5104 c. 583: 114 119 112 116 122 SP SD: 0.3220 c. M: 0.4631 c. 588: 115 120 113 117 123 SP SD: 0.2863 c. M: 0.4167 c. 593: 116 121 114 118 124 SP SD: 0.2606 c. M: 0.4132 c. 598: 117 122 115 119 125 SP SD: 0.2474 c. M: 0.4097 c. 603: 118 123 116 120 126 SP SD: 0.2479 c. M: 0.4063 c. 608: 119 124 117 121 127 SP SD: 0.2615 c. M: 0.4030 c. 617: 121 126 118 123 129 SP SD: 0.2577 c. M:-0.3971 c. 622: 122 127 119 124 130 SP SD: 0.2404 c. M:-0.3939 c. 627: 123 128 120 125 131 SP SD: 0.2359 c. M:-0.3907 c. 632: 124 129 121 126 132 SP SD: 0.2445 c. M:-0.3877 c. 637: 125 130 122 127 133 SP SD: 0.2642 c. M:-0.3846 c. 642: 126 131 123 128 134 SP SD: 0.2924 c. M:-0.4206 c. 698: 137 142 134 139 146 SP SD: 0.2829 c. M:-0.4370 c. 703: 138 143 135 140 147 SP SD: 0.2744 c. M:-0.4694 c. 740: 145 151 142 147 155 SP SD: 0.2651 c. M: 0.5878 c. 745: 146 152 143 148 156 SP SD: 0.2378 c. M: 0.5101 c. 750: 147 153 144 149 157 SP SD: 0.2181 c. M: 0.4333 c. 755: 148 154 145 150 158 SP SD: 0.2077 c. M: 0.3576 c. 760: 149 155 146 151 159 SP SD: 0.2075 c. M:-0.3289 c. 818: 160 167 157 163 171 SP SD: 0.2379 c. M: 0.3912 c. 823: 161 168 158 164 172 SP SD: 0.2154 c. M: 0.3584 c. 828: 162 169 159 165 173 SP SD: 0.2001 c. M: 0.3261 c. 833: 163 170 160 166 174 SP SD: 0.1933 c. M: 0.2941 c. 838: 164 171 161 167 175 SP SD: 0.1956 c. M: 0.2924 c. 843: 165 172 162 168 176 SP SD: 0.2064 c. M: 0.2906 c. 857: 168 175 164 171 179 SP SD: 0.2025 c. M: 0.2917 c. 862: 169 176 165 172 180 SP SD: 0.2014 c. M:-0.2842 c. 867: 170 177 166 173 181 SP SD: 0.2082 c. M:-0.2826 c. 933: 183 190 179 186 195 SP SD: 0.2013 c. M:-0.2733 c. 938: 184 191 180 187 196 SP SD: 0.1965 c. M:-0.2985 c. 970: 190 198 186 193 203 SP SD: 0.1716 c. M: 0.3660 c. 975: 191 199 187 194 204 SP SD: 0.1400 c. M: 0.3077 c. 980: 192 200 188 195 205 SP SD: 0.1118 c. M: 0.2500 c. 985: 193 201 189 196 206 SP SD: 0.0899 c. M: 0.1929 c. 990: 194 202 190 197 207 SP SD: 0.0792 c. M: 0.1364 c. 995: 195 203 191 198 208 SP SD: 0.0835 c. M:-0.1508 c. 1210: 237 247 232 241 253 SP SD: 0.0870 c. M: 0.1364 c. 1215: 238 248 233 242 254 SP SD: 0.0577 c. M: 0.0905 c. 1220: 239 249 234 243 255 SP SD: 0.0287 c. M: 0.0451 c. 1225: 240 250 235 244 256 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 25.0000 cents 2 x x 3 x 4 S SD: 17.0005 cents 3 x 4 x 5:6 S SD: 29.5407 cents 4 x 5:6:7:8 S SD: 27.2797 cents 6:7:8:9:11:12 SD: 18.3314 cents 7:8:9:11:12:14 SD: 18.2326 cents 8:9:11:12:14:16 SD: 15.7715 cents 12:14:16:18:21:24 S SD: 8.8156 cents 15:17:20:23:26:30 SD: 8.3395 cents 19:22:25:29:33:39 SD: 6.4378 cents 21:24:28:32:37:43 SD: 4.6552 cents 27:31:36:41:47:55 SD: 2.8427 cents 33:38:44:50:58:67 SD: 2.5999 cents 40:46:53:61:70:81 SD: 1.4834 cents 61:70:81:93:107:124 SD: 1.4824 cents 67:77:89:102:117:136 SD: 1.0069 cents 100:115:133:152:175:203 SD: 0.8547 cents 129:148:171:196:226:262 SD: 0.7775 cents 135:155:179:205:236:274 SD: 0.6553 cents 140:161:186:213:245:284 SD: 0.6255 cents 168:193:223:255:294:341 SD: 0.5296 cents 175:201:232:266:306:355 SD: 0.5015 cents 196:225:260:298:343:398 SD: 0.3866 cents 208:239:276:316:364:422 SD: 0.2372 cents 269:309:357:409:471:546 SD: 0.2017 cents 404:464:536:614:707:820 SD: 0.1782 cents 444:510:589:675:777:901 SD: 0.1628 cents 477:548:633:725:835:968 SD: 0.1061 cents 544:625:722:827:952:1104 SD: 0.0935 cents