Scala analysis: Indonesia_Mardiswara_a
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: 130.000 cents 130.000000 2: 251.000 cents 251.000000 3: 558.000 cents 558.000000 4: 653.000 cents 653.000000 5: 765.000 cents 765.000000 6: 934.000 cents 934.000000 7: 1207.000 cents 1207.000000
SHOW/INTERVAL
0: 273.0000 cents 273.0000 1: 130.0000 cents 130.0000 2: 121.0000 cents 121.0000 3: 307.0000 cents 307.0000 4: 95.0000 cents 95.0000 5: 112.0000 cents 112.0000 6: 169.0000 cents 169.0000 7: 273.0000 cents 273.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.00000 cents 1: 1 112.00000 cents 1: 1 121.00000 cents 1: 1 130.00000 cents 1: 1 169.00000 cents 1: 1 273.00000 cents 1: 1 307.00000 cents 2: 1 207.00000 cents 2: 1 251.00000 cents 2: 1 281.00000 cents 2: 1 402.00000 cents 2: 1 403.00000 cents 2: 1 428.00000 cents 2: 1 442.00000 cents 3: 1 376.00000 cents 3: 1 514.00000 cents 3: 1 523.00000 cents 3: 1 524.00000 cents 3: 1 554.00000 cents 3: 1 558.00000 cents 3: 1 572.00000 cents 4: 1 635.00000 cents 4: 1 649.00000 cents 4: 1 653.00000 cents 4: 1 683.00000 cents 4: 1 684.00000 cents 4: 1 693.00000 cents 4: 1 831.00000 cents 5: 1 765.00000 cents 5: 1 779.00000 cents 5: 1 804.00000 cents 5: 1 805.00000 cents 5: 1 926.00000 cents 5: 1 956.00000 cents 5: 1 1000.00000 cents 6: 1 900.00000 cents 6: 1 934.00000 cents 6: 1 1038.00000 cents 6: 1 1077.00000 cents 6: 1 1086.00000 cents 6: 1 1095.00000 cents 6: 1 1112.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 130.0 251.0 558.0 653.0 765.0 934.0 1207.0 130.0 : 121.0 428.0 523.0 635.0 804.0 1077.0 1207.0 251.0 : 307.0 402.0 514.0 683.0 956.0 1086.0 1207.0 558.0 : 95.0 207.0 376.0 649.0 779.0 900.0 1207.0 653.0 : 112.0 281.0 554.0 684.0 805.0 1112.0 1207.0 765.0 : 169.0 442.0 572.0 693.0 1000.0 1095.0 1207.0 934.0 : 273.0 403.0 524.0 831.0 926.0 1038.0 1207.0 1207.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.0000 .. 307.0000 cents 212.00000 cents 95.00000 cents 2: 207.0000 .. 442.0000 cents 235.00000 cents -100.00000 cents 3: 376.0000 .. 572.0000 cents 196.00000 cents -66.00000 cents 4: 635.0000 .. 831.0000 cents 196.00000 cents 63.00000 cents 5: 765.0000 .. 1000.0000 cents 235.00000 cents -66.00000 cents 6: 900.0000 .. 1112.0000 cents 212.00000 cents -100.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 95.00000 cents, class 1 Average step (divided formal octave): 172.4286 cents Largest one step interval : 307.00000 cents Average / Smallest step : 1.815038 Largest / Average step : 1.780447 Largest / Smallest step : 3.231579 Median interval of one step : 130.00000 cents, amount: 1 Least squares average step : 162.82857 cents, oct.: 1139.80000 cents Scale is not proper Scale is a mode of a 1207-tone equal temperament with octave 1207.000 cents degrees: 130 251 558 653 765 934 1207 Least number of segments generator : 604 of 604.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1008 of 1008.000 cents and inv. generated superset size: 265 = 258 more = 3785.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DCGABEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.00000 cents Scale diversity : 1.623716 Lumma stability : 0.209611 Lumma impropriety factor : 0.275062 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 1, average 693.0000 cents Number of recognisable fourths : 1, average 514.0000 cents Number of appreciable fourths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 0 2 1 0 1 2 N T3 SD: 55.8194 c. M: 78.5714 c. 8: 1 1 2 0 1 1 2 N T3 SD: 34.7877 c. M:-50.7500 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 19.5763 c. M:-39.6667 c. Pseudo Pelog, Pelogic-7, Antiionian 13: 1 2 3 1 1 2 3 N SD: 19.5447 c. M: 37.1538 c. 16: 2 1 4 2 1 2 4 N T3 SD: 22.5316 c. M: 29.9375 c. 17: 2 2 4 1 2 2 4 N SD: 16.5011 c. M:-33.0000 c. 18: 2 2 4 2 1 3 4 N SD: 16.2978 c. M: 27.3889 c. 19: 2 2 5 1 2 3 4 N SD: 11.2494 c. M:-18.8947 c. 26: 3 2 7 2 2 4 6 N SD: 11.8186 c. M: 22.2308 c. 27: 3 3 7 2 2 4 6 N SD: 13.1243 c. M:-23.1481 c. 28: 3 3 7 2 3 4 6 N SD: 7.8470 c. M:-14.3571 c. 30: 3 3 8 2 3 4 7 N SD: 7.2419 c. M: 9.6000 c. 35: 4 3 9 3 3 5 8 N SD: 5.9427 c. M: 9.6000 c. 39: 4 4 10 3 4 5 9 N SD: 4.8863 c. M:-8.7179 c. 48: 5 5 12 4 4 7 11 N SD: 4.8978 c. M: 10.6250 c. 52: 6 5 13 4 5 7 12 N SD: 4.5763 c. M:-9.2692 c. 54: 6 5 14 4 5 8 12 N SD: 4.0541 c. M: 5.1296 c. 57: 6 6 14 5 5 8 13 N SD: 3.7396 c. M: 7.4386 c. 63: 7 6 16 5 6 9 14 N SD: 2.7675 c. M:-4.7778 c. 76: 8 8 19 6 7 11 17 N SD: 2.4685 c. M:-3.1053 c. 93: 10 9 24 7 9 13 21 N SD: 2.2939 c. M: 4.4086 c. 102: 11 10 26 8 10 14 23 N SD: 2.1510 c. M:-4.1667 c. 111: 12 11 28 9 10 16 25 N SD: 2.0404 c. M: 3.8288 c. 115: 12 12 29 9 11 16 26 N SD: 1.9559 c. M: 4.0522 c. 120: 13 12 30 10 11 17 27 N SD: 1.9539 c. M: 4.7917 c. 129: 14 13 33 10 12 18 29 N SD: 1.9560 c. M:-3.3953 c. 139: 15 14 35 11 13 20 31 N SD: 1.8571 c. M:-3.8129 c. 140: 15 14 36 11 13 19 32 N SD: 1.9184 c. M: 2.8857 c. 150: 16 15 38 12 14 21 34 N SD: 1.4074 c. M: 2.7800 c. 155: 17 15 40 12 14 22 35 N SD: 1.7326 c. M:-2.6710 c. 158: 17 16 40 12 15 22 36 N SD: 1.6889 c. M: 3.6646 c. 159: 17 16 41 12 15 22 36 N SD: 1.6135 c. M:-3.7484 c. 164: 18 16 42 13 15 23 37 N SD: 1.3752 c. M:-2.4756 c. 177: 19 18 45 14 16 25 40 N SD: 1.0422 c. M:-1.6441 c. 216: 23 22 55 17 20 30 49 N SD: 0.8117 c. M: 1.4769 c. 240: 26 24 61 19 22 34 54 N SD: 0.7387 c. M:-1.4250 c. 251: 27 25 64 20 23 35 57 N SD: 0.6877 c. M: 1.0996 c. 270: 29 27 69 21 25 38 61 N SD: 0.4956 c. M:-0.7963 c. 279: 30 28 71 22 26 39 63 N SD: 0.3506 c. M:-0.7312 c. 519: 56 52 132 41 48 73 117 N SD: 0.4118 c. M:-0.9017 c. 530: 57 53 135 42 49 74 120 N SD: 0.3292 c. M:-0.6019 c. 549: 59 55 140 43 51 77 124 N SD: 0.2816 c. M:-0.4299 c. 601: 65 60 153 47 56 84 136 N SD: 0.2740 c. M:-0.5408 c. 606: 65 61 154 48 56 85 137 N SD: 0.2718 c. M: 0.5363 c. 658: 71 66 167 52 61 92 149 N SD: 0.2350 c. M: 0.3587 c. 751: 81 75 191 59 70 105 170 N SD: 0.2631 c. M: 0.4807 c. 787: 85 79 200 62 73 110 178 N SD: 0.3116 c. M:-0.5222 c. 800: 86 80 204 63 74 112 181 N SD: 0.2704 c. M: 0.5475 c. 817: 88 82 208 64 76 114 185 N SD: 0.2351 c. M:-0.4406 c. 852: 92 85 217 67 79 119 193 N SD: 0.2336 c. M: 0.4167 c. 880: 95 88 224 69 82 123 199 N SD: 0.2021 c. M:-0.3477 c. 928: 100 93 236 73 86 130 210 N SD: 0.1054 c. M: 0.2198 c. 1131: 122 113 288 89 105 158 256 N SD: 0.1659 c. M: 0.2087 c. 1144: 123 115 291 90 106 160 259 N SD: 0.1524 c. M: 0.2631 c. 1198: 129 120 305 94 111 168 271 N SD: 0.1471 c. M: 0.2980 c. 1207: 130 121 307 95 112 169 273 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 7.0000 cents 2 x x x 3 x x 4 S SD: 24.7265 cents 3 x x 4 x x 5:6 S SD: 26.0509 cents 4 x 5 x 6 x 7:8 S SD: 37.0542 cents 5 x 6:7 x 8:9:10 S SD: 23.8219 cents 6 x 7:8:9 x 10:12 S SD: 18.7151 cents 7 x 8 x 10:11:12:14 S SD: 8.9664 cents 8 x 9:11:12 x 14:16 SD: 15.3890 cents 9:10 x 12:13:14:15:18 S SD: 15.9185 cents 10:11:12:14:15:16:17:20 SD: 15.0214 cents 11:12:13:15:16:17:19:22 SD: 7.3878 cents 13:14:15:18:19:20:22:26 SD: 4.5518 cents 24:26:28:33:35:37:41:48 SD: 3.8073 cents 37:40:43:51:54:58:63:74 SD: 3.1949 cents 38:41:44:52:55:59:65:76 SD: 3.1388 cents 39:42:45:54:57:61:67:78 SD: 2.0391 cents 50:54:58:69:73:78:86:100 SD: 1.7332 cents 52:56:60:72:76:81:89:104 SD: 1.6031 cents 63:68:73:87:92:98:108:127 SD: 1.2281 cents 76:82:88:105:111:118:130:153 SD: 1.2161 cents 77:83:89:106:112:120:132:155 SD: 1.1820 cents 90:97:104:124:131:140:154:181 SD: 0.9458 cents 102:110:118:141:149:159:175:205 SD: 0.8234 cents 103:111:119:142:150:160:177:207 SD: 0.7798 cents 115:124:133:159:168:179:197:231 SD: 0.7138 cents 129:139:149:178:188:201:221:259 SD: 0.5684 cents 140:151:162:193:204:218:240:281 SD: 0.5403 cents 155:167:179:214:226:241:266:311 SD: 0.4022 cents 205:221:237:283:299:319:352:412 SD: 0.3592 cents 218:235:252:301:318:339:374:438 SD: 0.2104 cents 347:374:401:479:506:540:595:697 SD: 0.1611 cents 358:386:414:494:522:557:614:719 SD: 0.1378 cents 513:553:593:708:748:798:880:1030 SD: 0.0682 cents