Scala analysis: Indonesia_Mardiswara_b
Mardiswara (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: 238.000 cents 238.000000 2: 473.000 cents 473.000000 3: 729.000 cents 729.000000 4: 971.000 cents 971.000000 5: 1215.000 cents 1215.000000
SHOW/INTERVAL
0: 244.0000 cents 244.0000 1: 238.0000 cents 238.0000 2: 235.0000 cents 235.0000 3: 256.0000 cents 256.0000 4: 242.0000 cents 242.0000 5: 244.0000 cents 244.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 235.00000 cents 1: 1 238.00000 cents 1: 1 242.00000 cents 1: 1 244.00000 cents 1: 1 256.00000 cents 2: 1 473.00000 cents 2: 1 482.00000 cents 2: 1 486.00000 cents 2: 1 491.00000 cents 2: 1 498.00000 cents 3: 1 717.00000 cents 3: 1 724.00000 cents 3: 1 729.00000 cents 3: 1 733.00000 cents 3: 1 742.00000 cents 4: 1 959.00000 cents 4: 1 971.00000 cents 4: 1 973.00000 cents 4: 1 977.00000 cents 4: 1 980.00000 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 : 238.0 473.0 729.0 971.0 1215.0 238.0 : 235.0 491.0 733.0 977.0 1215.0 473.0 : 256.0 498.0 742.0 980.0 1215.0 729.0 : 242.0 486.0 724.0 959.0 1215.0 971.0 : 244.0 482.0 717.0 973.0 1215.0 1215.0
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: 473.0000 .. 498.0000 cents 25.00000 cents 217.00000 cents 3: 717.0000 .. 742.0000 cents 25.00000 cents 219.00000 cents 4: 959.0000 .. 980.0000 cents 21.00000 cents 217.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 235.00000 cents, class 1 Average step (divided formal octave): 243.0000 cents Largest one step interval : 256.00000 cents Average / Smallest step : 1.034043 Largest / Average step : 1.053498 Largest / Smallest step : 1.089362 Median interval of one step : 242.00000 cents, amount: 1 Least squares average step : 242.36364 cents, oct.: 1211.81818 cents Scale is strictly proper Scale is a mode of a 1215-tone equal temperament with octave 1215.000 cents degrees: 238 473 729 971 1215 Least number of segments generator : 608 of 608.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 742 of 742.000 cents and inv. generated superset size: 244 = 239 more = 4880.000% 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 217.00000 cents Scale diversity : 1.077445 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.924280 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 717.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 4, average 489.2500 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 25.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 25.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 6.2450 c. M:-13.0000 c. 41: 8 8 9 8 8 SP M ME I SD: 6.1752 c. M:-11.8537 c. Quasi-equal Pentatonic 46: 9 9 10 9 9 SP M ME I SD: 5.6054 c. M:-10.5652 c. 48: 9 10 10 9 10 SP M ME S SD: 7.4254 c. M: 10.1875 c. 50: 10 9 11 10 10 SP T3 SD: 5.5442 c. M: 11.3000 c. 51: 10 10 11 10 10 SP M ME I SD: 5.2181 c. M:-9.5294 c. 53: 10 11 11 10 11 SP M ME S SD: 6.8590 c. M: 8.7547 c. 54: 11 10 11 11 11 SP M ME S SD: 6.0622 c. M:-9.5000 c. 55: 11 10 12 11 11 SP T3 SD: 4.6614 c. M: 9.0909 c. 56: 11 11 12 11 11 SP M ME I SD: 4.9586 c. M:-8.6786 c. 60: 12 11 13 12 12 SP T3 SD: 3.9639 c. M: 7.2500 c. 65: 13 12 14 13 13 SP T3 SD: 3.4177 c. M: 5.6923 c. 70: 14 13 15 14 14 SP T3 SD: 2.9995 c. M:-5.0000 c. 75: 15 14 16 15 15 SP T3 SD: 2.6922 c. M:-5.0000 c. 80: 16 15 17 16 16 SP T3 SD: 2.4813 c. M:-5.0000 c. 83: 16 16 18 16 17 SP T3 SD: 3.6690 c. M: 4.8554 c. 85: 17 16 18 17 17 SP T3 SD: 2.3526 c. M:-5.0000 c. 88: 17 17 19 17 18 SP T3 SD: 3.2124 c. M: 4.5227 c. 90: 18 17 19 18 18 SP T3 SD: 2.2913 c. M:-5.0000 c. 93: 18 18 20 18 19 SP T3 SD: 2.8253 c. M: 4.2258 c. 95: 19 18 20 19 19 SP T3 SD: 2.2823 c. M:-5.0000 c. 98: 19 19 21 19 20 SP T3 SD: 2.5019 c. M: 3.9592 c. 100: 20 19 21 20 20 SP T3 SD: 2.3118 c. M:-5.0000 c. 103: 20 20 22 20 21 SP T3 SD: 2.2380 c. M: 3.7184 c. 105: 21 20 22 21 21 SP T3 SD: 2.3682 c. M:-5.0000 c. 108: 21 21 23 21 22 SP T3 SD: 2.0310 c. M: 3.5000 c. 113: 22 22 24 22 23 SP T3 SD: 1.8781 c. M: 3.3009 c. 118: 23 23 25 23 24 SP T3 SD: 1.7759 c. M: 3.1186 c. 123: 24 24 26 24 25 SP T3 SD: 1.7196 c. M: 2.9512 c. 128: 25 25 27 25 26 SP T3 SD: 1.7029 c. M: 2.7969 c. 133: 26 26 28 26 27 SP T3 SD: 1.7185 c. M: 2.6541 c. 134: 26 26 28 27 27 SP SD: 2.0576 c. M: 3.6269 c. 138: 27 27 29 27 28 SP T3 SD: 1.7589 c. M: 2.5217 c. 139: 27 27 29 28 28 SP SD: 1.8829 c. M: 3.4964 c. 143: 28 28 30 28 29 SP T3 SD: 1.8174 c. M:-2.8042 c. 144: 28 28 30 29 29 SP SD: 1.7422 c. M: 3.3750 c. 149: 29 29 31 30 30 SP SD: 1.6346 c. M: 3.2617 c. 154: 30 30 32 31 31 SP SD: 1.5592 c. M: 3.1558 c. 159: 31 31 33 32 32 SP SD: 1.5139 c. M: 3.0566 c. 164: 32 32 34 33 33 SP SD: 1.4958 c. M: 2.9634 c. 165: 32 32 35 33 33 SP SD: 1.3835 c. M: 2.3636 c. 170: 33 33 36 34 34 SP SD: 1.2070 c. M: 2.1471 c. 175: 34 34 37 35 35 SP SD: 1.0544 c. M: 1.9429 c. 180: 35 35 38 36 36 SP SD: 0.9287 c. M: 1.7500 c. 183: 36 35 39 36 37 SP SD: 1.2743 c. M: 1.6557 c. 185: 36 36 39 37 37 SP SD: 0.8337 c. M: 1.5676 c. 190: 37 37 40 38 38 SP SD: 0.7733 c. M: 1.3947 c. 195: 38 38 41 39 39 SP SD: 0.7490 c. M: 1.2308 c. 200: 39 39 42 40 40 SP SD: 0.7587 c. M: 1.0750 c. 255: 50 49 54 51 51 SP SD: 0.7389 c. M: 1.2941 c. 260: 51 50 55 52 52 SP SD: 0.6551 c. M: 1.0192 c. 265: 52 51 56 53 53 SP SD: 0.5902 c. M:-1.0000 c. 270: 53 52 57 54 54 SP SD: 0.5477 c. M:-1.0000 c. 275: 54 53 58 55 55 SP SD: 0.5298 c. M:-1.0000 c. 280: 55 54 59 56 56 SP SD: 0.5361 c. M:-1.0000 c. 285: 56 55 60 57 57 SP SD: 0.5634 c. M:-1.0000 c. 367: 72 71 77 73 74 SP SD: 0.5866 c. M: 0.9864 c. 368: 72 71 78 73 74 SP SD: 0.5235 c. M: 0.8668 c. 373: 73 72 79 74 75 SP SD: 0.4527 c. M: 0.6810 c. 378: 74 73 80 75 76 SP SD: 0.3912 c. M:-0.6429 c. 383: 75 74 81 76 77 SP SD: 0.3422 c. M:-0.6345 c. 388: 76 75 82 77 78 SP SD: 0.3096 c. M:-0.6263 c. 393: 77 76 83 78 79 SP SD: 0.2971 c. M:-0.6183 c. 398: 78 77 84 79 80 SP SD: 0.3056 c. M:-0.6106 c. 403: 79 78 85 80 81 SP SD: 0.3319 c. M:-0.6030 c. 408: 80 79 86 81 82 SP SD: 0.3713 c. M:-0.5956 c. 522: 102 101 110 104 105 SP SD: 0.4399 c. M: 0.5862 c. 527: 103 102 111 105 106 SP SD: 0.3955 c. M: 0.5332 c. 532: 104 103 112 106 107 SP SD: 0.3572 c. M: 0.4812 c. 537: 105 104 113 107 108 SP SD: 0.3264 c. M: 0.4525 c. 542: 106 105 114 108 109 SP SD: 0.3048 c. M: 0.4483 c. 547: 107 106 115 109 110 SP SD: 0.2937 c. M: 0.4442 c. 552: 108 107 116 110 111 SP SD: 0.2936 c. M: 0.4402 c. 557: 109 108 117 111 112 SP SD: 0.3041 c. M: 0.4363 c. 578: 113 112 122 115 116 SP SD: 0.2897 c. M: 0.4654 c. 583: 114 113 123 116 117 SP SD: 0.2767 c. M: 0.4185 c. 588: 115 114 124 117 118 SP SD: 0.2739 c. M:-0.4133 c. 593: 116 115 125 118 119 SP SD: 0.2813 c. M:-0.4098 c. 598: 117 116 126 119 120 SP SD: 0.2975 c. M:-0.4064 c. 617: 121 119 130 123 124 SP SD: 0.2883 c. M: 0.3938 c. 622: 122 120 131 124 125 SP SD: 0.2682 c. M: 0.3907 c. 627: 123 121 132 125 126 SP SD: 0.2569 c. M: 0.3876 c. 632: 124 122 133 126 127 SP SD: 0.2552 c. M:-0.3861 c. 658: 129 127 139 131 132 SP SD: 0.2574 c. M:-0.3693 c. 663: 130 128 140 132 133 SP SD: 0.2445 c. M:-0.3665 c. 668: 131 129 141 133 134 SP SD: 0.2405 c. M:-0.3638 c. 673: 132 130 142 134 135 SP SD: 0.2455 c. M:-0.3611 c. 678: 133 131 143 135 136 SP SD: 0.2585 c. M:-0.3584 c. 683: 134 132 144 136 137 SP SD: 0.2782 c. M:-0.3748 c. 797: 156 154 168 159 160 SP SD: 0.2475 c. M: 0.4153 c. 802: 157 155 169 160 161 SP SD: 0.2158 c. M: 0.3317 c. 807: 158 156 170 161 162 SP SD: 0.1877 c. M: 0.3011 c. 812: 159 157 171 162 163 SP SD: 0.1647 c. M: 0.2993 c. 817: 160 158 172 163 164 SP SD: 0.1489 c. M: 0.2974 c. 822: 161 159 173 164 165 SP SD: 0.1421 c. M: 0.2956 c. 827: 162 160 174 165 166 SP SD: 0.1453 c. M: 0.2938 c. 832: 163 161 175 166 167 SP SD: 0.1575 c. M: 0.2921 c. 837: 164 162 176 167 168 SP SD: 0.1767 c. M: 0.2903 c. 925: 181 179 195 184 186 SP SD: 0.1903 c. M: 0.3135 c. 930: 182 180 196 185 187 SP SD: 0.1727 c. M: 0.3065 c. 935: 183 181 197 186 188 SP SD: 0.1605 c. M: 0.2995 c. 940: 184 182 198 187 189 SP SD: 0.1550 c. M: 0.2926 c. 945: 185 183 199 188 190 SP SD: 0.1565 c. M: 0.2857 c. 950: 186 184 200 189 191 SP SD: 0.1646 c. M: 0.2789 c. 955: 187 185 201 190 192 SP SD: 0.1783 c. M:-0.2775 c. 1010: 198 195 213 201 203 SP SD: 0.1617 c. M: 0.2327 c. 1015: 199 196 214 202 204 SP SD: 0.1495 c. M:-0.2118 c. 1020: 200 197 215 203 205 SP SD: 0.1432 c. M:-0.2353 c. 1190: 233 230 251 237 239 SP SD: 0.1312 c. M: 0.2731 c. 1195: 234 231 252 238 240 SP SD: 0.1045 c. M: 0.2176 c. 1200: 235 232 253 239 241 SP SD: 0.0781 c. M: 0.1625 c. 1205: 236 233 254 240 242 SP SD: 0.0518 c. M: 0.1079 c. 1210: 237 234 255 241 243 SP SD: 0.0258 c. M: 0.0537 c. 1215: 238 235 256 242 244 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 15.0000 cents 2 x x 3 x 4 S SD: 15.4631 cents 3 x 4 x 5:6 S SD: 30.4758 cents 4 x 5:6:7:8 S SD: 23.0159 cents 6:7:8:9:11:12 SD: 18.5019 cents 7:8:9:11:12:14 SD: 15.4981 cents 9:10:12:14:16:18 S SD: 15.3136 cents 12:14:16:18:21:24 S SD: 9.8426 cents 13:15:17:20:23:26 SD: 6.1825 cents 19:22:25:29:33:38 SD: 5.3700 cents 25:29:33:38:44:50 SD: 5.3614 cents 28:32:37:43:49:56 SD: 4.7091 cents 29:33:38:44:51:59 SD: 4.6306 cents 32:37:42:49:56:65 SD: 4.0139 cents 35:40:46:53:61:71 SD: 3.6699 cents 40:46:53:61:70:81 SD: 3.2655 cents 41:47:54:62:72:83 SD: 3.0803 cents 42:48:55:64:74:85 SD: 2.8707 cents 47:54:62:72:82:95 SD: 2.8499 cents 48:55:63:73:84:97 SD: 1.1613 cents 61:70:80:93:107:123 SD: 0.8558 cents 109:125:143:166:191:220 SD: 0.6601 cents 149:171:196:227:261:301 SD: 0.5888 cents 162:186:213:247:284:327 SD: 0.4576 cents 210:241:276:320:368:424 SD: 0.2983 cents 271:311:356:413:475:547 SD: 0.2760 cents 338:388:444:515:592:682 SD: 0.2739 cents 340:390:447:518:596:686 SD: 0.2270 cents 359:412:472:547:629:724 SD: 0.2103 cents 401:460:527:611:703:809 SD: 0.1964 cents 407:467:535:620:713:821 SD: 0.1308 cents 468:537:615:713:820:944 SD: 0.0668 cents