Scala analysis: Indonesia_Kanyutmesem_a
Kanyutmesem (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: 141.000 cents 141.000000 2: 281.000 cents 281.000000 3: 553.000 cents 553.000000 4: 692.000 cents 692.000000 5: 806.000 cents 806.000000 6: 978.000 cents 978.000000 7: 1223.000 cents 1223.000000
SHOW/INTERVAL
0: 245.0000 cents 245.0000 1: 141.0000 cents 141.0000 2: 140.0000 cents 140.0000 3: 272.0000 cents 272.0000 4: 139.0000 cents 139.0000 5: 114.0000 cents 114.0000 6: 172.0000 cents 172.0000 7: 245.0000 cents 245.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.00000 cents 1: 1 139.00000 cents 1: 1 140.00000 cents 1: 1 141.00000 cents 1: 1 172.00000 cents 1: 1 245.00000 cents 1: 1 272.00000 cents 2: 1 253.00000 cents 2: 1 281.00000 cents 2: 1 286.00000 cents 2: 1 386.00000 cents 2: 1 411.00000 cents 2: 1 412.00000 cents 2: 1 417.00000 cents 3: 1 425.00000 cents 3: 1 525.00000 cents 3: 1 526.00000 cents 3: 1 531.00000 cents 3: 1 551.00000 cents 3: 1 553.00000 cents 3: 1 558.00000 cents 4: 1 665.00000 cents 4: 1 670.00000 cents 4: 1 672.00000 cents 4: 1 692.00000 cents 4: 1 697.00000 cents 4: 1 698.00000 cents 4: 1 798.00000 cents 5: 1 806.00000 cents 5: 1 811.00000 cents 5: 1 812.00000 cents 5: 1 837.00000 cents 5: 1 937.00000 cents 5: 1 942.00000 cents 5: 1 970.00000 cents 6: 1 951.00000 cents 6: 1 978.00000 cents 6: 1 1051.00000 cents 6: 1 1082.00000 cents 6: 1 1083.00000 cents 6: 1 1084.00000 cents 6: 1 1109.00000 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 : 141.0 281.0 553.0 692.0 806.0 978.0 1223.0 141.0 : 140.0 412.0 551.0 665.0 837.0 1082.0 1223.0 281.0 : 272.0 411.0 525.0 697.0 942.0 1083.0 1223.0 553.0 : 139.0 253.0 425.0 670.0 811.0 951.0 1223.0 692.0 : 114.0 286.0 531.0 672.0 812.0 1084.0 1223.0 806.0 : 172.0 417.0 558.0 698.0 970.0 1109.0 1223.0 978.0 : 245.0 386.0 526.0 798.0 937.0 1051.0 1223.0 1223.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0000 .. 272.0000 cents 158.00000 cents 114.00000 cents 2: 253.0000 .. 417.0000 cents 164.00000 cents -19.00000 cents 3: 425.0000 .. 558.0000 cents 133.00000 cents 8.00000 cents 4: 665.0000 .. 798.0000 cents 133.00000 cents 107.00000 cents 5: 806.0000 .. 970.0000 cents 164.00000 cents 8.00000 cents 6: 951.0000 .. 1109.0000 cents 158.00000 cents -19.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 114.00000 cents, class 1 Average step (divided formal octave): 174.7143 cents Largest one step interval : 272.00000 cents Average / Smallest step : 1.532581 Largest / Average step : 1.556827 Largest / Smallest step : 2.385965 Median interval of one step : 141.00000 cents, amount: 1 Least squares average step : 168.49286 cents, oct.: 1179.45000 cents Scale is not proper Scale is a mode of a 1223-tone equal temperament with octave 1223.000 cents degrees: 141 281 553 692 806 978 1223 Least number of segments generator : 612 of 612.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 629 of 629.000 cents and inv. generated superset size: 322 = 315 more = 4600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DCGBAEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.00000 cents Scale diversity : 1.387271 Lumma stability : 0.286999 Lumma impropriety factor : 0.031071 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 : 3, average 695.6667 cents Number of recognisable fourths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 164.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 48.1142 c. M:-70.2857 c. Lebeng 8: 1 1 2 1 0 1 2 N T3 S SD: 46.0391 c. M:-72.3750 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 12.8851 c. M: 26.7778 c. Pseudo Pelog, Pelogic-7, Antiionian 24: 3 3 5 3 2 3 5 P T3 S SD: 14.4030 c. M:-24.7500 c. 25: 3 3 5 3 2 4 5 P SD: 11.9771 c. M: 23.2800 c. 26: 3 3 6 3 2 4 5 N SD: 8.0507 c. M:-13.5769 c. 35: 4 4 8 4 3 5 7 N SD: 3.6490 c. M:-6.8571 c. 44: 5 5 10 5 4 6 9 N SD: 2.8481 c. M: 5.1591 c. 79: 9 9 18 9 7 11 16 N SD: 2.8469 c. M:-4.6456 c. 86: 10 10 19 10 8 12 17 N SD: 3.1773 c. M:-4.8256 c. 95: 11 11 21 11 9 13 19 N SD: 2.4295 c. M:-5.0421 c. 104: 12 12 23 12 10 14 21 N SD: 2.3310 c. M:-5.4135 c. 106: 12 12 24 12 10 15 21 N SD: 2.2041 c. M: 4.0943 c. 115: 13 13 26 13 11 16 23 N SD: 2.1877 c. M: 4.4957 c. 120: 14 14 26 14 11 17 24 N SD: 2.1006 c. M:-4.3667 c. 123: 14 14 28 14 11 17 25 N SD: 2.7721 c. M:-4.0163 c. 124: 14 14 28 14 12 17 25 N SD: 2.5361 c. M: 4.8387 c. 126: 15 14 28 14 12 18 25 N SD: 2.2411 c. M:-4.5952 c. 129: 15 15 28 15 12 18 26 N SD: 1.8965 c. M:-3.4186 c. 130: 15 15 29 15 12 18 26 N SD: 2.1601 c. M:-4.1692 c. 131: 15 15 29 15 12 19 26 N SD: 1.8006 c. M: 3.1145 c. 140: 16 16 31 16 13 20 28 N SD: 1.6776 c. M: 2.6500 c. 149: 17 17 33 17 14 21 30 N SD: 1.9169 c. M: 3.0604 c. 150: 17 17 34 17 14 21 30 N SD: 1.8793 c. M: 3.7867 c. 155: 18 18 34 18 14 22 31 N SD: 1.5994 c. M:-3.0516 c. 164: 19 19 36 19 15 23 33 N SD: 1.2749 c. M:-2.3780 c. 171: 20 19 38 20 16 24 34 N SD: 1.8850 c. M: 2.2924 c. 173: 20 20 38 20 16 24 35 N SD: 1.3291 c. M: 2.4277 c. 175: 20 20 39 20 16 25 35 N SD: 1.1941 c. M: 2.3143 c. 184: 21 21 41 21 17 26 37 N SD: 1.2864 c. M: 1.8370 c. 191: 22 22 42 22 18 27 38 N SD: 1.1748 c. M: 2.3298 c. 205: 24 23 46 23 19 29 41 N SD: 1.1328 c. M:-2.1805 c. 208: 24 24 46 24 19 29 42 N SD: 1.1306 c. M: 1.9519 c. 214: 25 24 48 24 20 30 43 N SD: 1.0071 c. M:-1.8738 c. 219: 25 25 49 25 20 31 44 N SD: 1.1470 c. M: 1.8356 c. 223: 26 25 50 25 21 31 45 N SD: 1.1509 c. M: 1.7937 c. 225: 26 26 50 25 21 32 45 N SD: 1.2084 c. M: 1.6844 c. 226: 26 26 50 26 21 32 45 N SD: 0.7607 c. M:-1.4823 c. 235: 27 27 52 27 22 33 47 N SD: 0.6186 c. M: 1.3489 c. 270: 31 31 60 31 25 38 54 N SD: 0.5093 c. M:-1.0333 c. 279: 32 32 62 32 26 39 56 N SD: 0.5474 c. M: 0.7276 c. 405: 47 46 90 46 38 57 81 N SD: 0.4628 c. M:-0.9284 c. 431: 50 49 96 49 40 61 86 N SD: 0.5315 c. M:-0.9675 c. 440: 51 50 98 50 41 62 88 N SD: 0.3457 c. M:-0.7568 c. 449: 52 51 100 51 42 63 90 N SD: 0.3202 c. M:-0.6392 c. 475: 55 54 106 54 44 67 95 N SD: 0.4404 c. M:-0.6105 c. 484: 56 55 108 55 45 68 97 N SD: 0.3410 c. M: 0.5186 c. 504: 58 58 112 57 47 71 101 N SD: 0.3150 c. M:-0.4841 c. 599: 69 69 133 68 56 84 120 N SD: 0.3676 c. M:-0.7596 c. 610: 70 70 136 69 57 86 122 N SD: 0.3600 c. M: 0.6557 c. 613: 71 70 136 70 57 86 123 N SD: 0.3582 c. M:-0.6525 c. 624: 72 71 139 71 58 88 125 N SD: 0.3529 c. M: 0.7292 c. 633: 73 72 141 72 59 89 127 N SD: 0.4234 c. M: 0.8499 c. 634: 73 73 141 72 59 89 127 N SD: 0.4165 c. M:-0.6372 c. 640: 74 73 142 73 60 90 128 N SD: 0.3987 c. M: 0.7391 c. 643: 74 74 143 73 60 90 129 N SD: 0.3784 c. M:-0.4992 c. 648: 75 74 144 74 60 91 130 N SD: 0.3618 c. M:-0.6559 c. 675: 78 77 150 77 63 95 135 N SD: 0.2756 c. M:-0.4000 c. 710: 82 81 158 81 66 100 142 N SD: 0.2698 c. M:-0.4592 c. 719: 83 82 160 82 67 101 144 N SD: 0.2208 c. M: 0.3394 c. 739: 85 85 164 84 69 104 148 N SD: 0.2234 c. M:-0.3396 c. 774: 89 89 172 88 72 109 155 N SD: 0.1858 c. M: 0.3708 c. 783: 90 90 174 89 73 110 157 N SD: 0.1942 c. M: 0.4253 c. 944: 109 108 210 107 88 133 189 N SD: 0.1618 c. M:-0.2150 c. 953: 110 109 212 108 89 134 191 N SD: 0.1443 c. M: 0.2928 c. 1179: 136 135 262 134 110 166 236 N SD: 0.1063 c. M:-0.1925 c. 1188: 137 136 264 135 111 167 238 N SD: 0.1075 c. M: 0.2020 c. 1214: 140 139 270 138 113 171 243 N SD: 0.0955 c. M:-0.1985 c. 1223: 141 140 272 139 114 172 245 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 23.0000 cents 2 x x x 3 x x 4 S SD: 12.5310 cents 3 x x 4 x 5 x 6 S SD: 32.8111 cents 4 x 5 x 6 x 7:8 S SD: 27.1607 cents 5 x 6:7 x 8:9:10 S SD: 13.0030 cents 6 x 7:8:9:10:11:12 S SD: 20.4671 cents 7 x 8:10 x 11:12:14 S SD: 19.7346 cents 8:9 x 11:12:13:14:16 SD: 12.7638 cents 10:11:12:14:15:16:18:20 S SD: 10.0023 cents 12:13:14:17:18:19:21:24 SD: 8.4839 cents 16:17:19:22:24:25:28:32 SD: 8.3308 cents 20:22:24:28:30:32:35:41 SD: 8.1810 cents 21:23:25:29:31:33:37:43 SD: 6.2742 cents 22:24:26:30:33:35:39:45 SD: 4.3985 cents 24:26:28:33:36:38:42:49 SD: 3.6752 cents 34:37:40:47:51:54:60:69 SD: 2.2343 cents 45:49:53:62:67:72:79:91 SD: 1.7259 cents 61:66:72:84:91:97:107:124 SD: 1.5670 cents 69:75:81:95:103:110:121:140 SD: 1.1302 cents 96:104:113:132:143:153:169:195 SD: 0.8025 cents 108:117:127:149:161:172:190:219 SD: 0.7098 cents 120:130:141:165:179:191:211:243 SD: 0.5899 cents 154:167:181:212:230:245:271:312 SD: 0.5293 cents 165:179:194:227:246:263:290:334 SD: 0.4527 cents 175:190:206:241:261:279:308:355 SD: 0.4485 cents 187:203:220:257:279:298:329:379 SD: 0.4229 cents 199:216:234:274:297:317:350:403 SD: 0.3279 cents 250:271:294:344:373:398:440:507 SD: 0.3269 cents 261:283:307:359:389:416:459:529 SD: 0.3127 cents 295:320:347:406:440:470:519:598 SD: 0.0749 cents