Scala analysis: Indonesia_Pancasona_a
Pancasona (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: 152.000 cents 152.000000 2: 281.000 cents 281.000000 3: 579.000 cents 579.000000 4: 706.000 cents 706.000000 5: 801.000 cents 801.000000 6: 962.000 cents 962.000000 7: 1210.000 cents 1210.000000
SHOW/INTERVAL
0: 248.0000 cents 248.0000 1: 152.0000 cents 152.0000 2: 129.0000 cents 129.0000 3: 298.0000 cents 298.0000 4: 127.0000 cents 127.0000 5: 95.0000 cents 95.0000 6: 161.0000 cents 161.0000 7: 248.0000 cents 248.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.00000 cents 1: 1 127.00000 cents 1: 1 129.00000 cents 1: 1 152.00000 cents 1: 1 161.00000 cents 1: 1 248.00000 cents 1: 1 298.00000 cents 2: 1 222.00000 cents 2: 1 256.00000 cents 2: 1 281.00000 cents 2: 1 400.00000 cents 2: 1 409.00000 cents 2: 1 425.00000 cents 2: 1 427.00000 cents 3: 1 383.00000 cents 3: 1 504.00000 cents 3: 1 520.00000 cents 3: 1 529.00000 cents 3: 1 554.00000 cents 3: 1 561.00000 cents 3: 1 579.00000 cents 4: 1 631.00000 cents 4: 1 649.00000 cents 4: 1 656.00000 cents 4: 1 681.00000 cents 4: 1 690.00000 cents 4: 1 706.00000 cents 4: 1 827.00000 cents 5: 1 783.00000 cents 5: 1 785.00000 cents 5: 1 801.00000 cents 5: 1 810.00000 cents 5: 1 929.00000 cents 5: 1 954.00000 cents 5: 1 988.00000 cents 6: 1 912.00000 cents 6: 1 962.00000 cents 6: 1 1049.00000 cents 6: 1 1058.00000 cents 6: 1 1081.00000 cents 6: 1 1083.00000 cents 6: 1 1115.00000 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 : 152.0 281.0 579.0 706.0 801.0 962.0 1210.0 152.0 : 129.0 427.0 554.0 649.0 810.0 1058.0 1210.0 281.0 : 298.0 425.0 520.0 681.0 929.0 1081.0 1210.0 579.0 : 127.0 222.0 383.0 631.0 783.0 912.0 1210.0 706.0 : 95.0 256.0 504.0 656.0 785.0 1083.0 1210.0 801.0 : 161.0 409.0 561.0 690.0 988.0 1115.0 1210.0 962.0 : 248.0 400.0 529.0 827.0 954.0 1049.0 1210.0 1210.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.0000 .. 298.0000 cents 203.00000 cents 95.00000 cents 2: 222.0000 .. 427.0000 cents 205.00000 cents -76.00000 cents 3: 383.0000 .. 579.0000 cents 196.00000 cents -44.00000 cents 4: 631.0000 .. 827.0000 cents 196.00000 cents 52.00000 cents 5: 783.0000 .. 988.0000 cents 205.00000 cents -44.00000 cents 6: 912.0000 .. 1115.0000 cents 203.00000 cents -76.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 95.00000 cents, class 1 Average step (divided formal octave): 172.8571 cents Largest one step interval : 298.00000 cents Average / Smallest step : 1.819549 Largest / Average step : 1.723967 Largest / Smallest step : 3.136842 Median interval of one step : 152.00000 cents, amount: 1 Least squares average step : 168.01429 cents, oct.: 1176.10000 cents Scale is not proper Scale is a mode of a 1210-tone equal temperament with octave 1210.000 cents degrees: 152 281 579 706 801 962 1210 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 647 of 647.000 cents and inv. generated superset size: 352 = 345 more = 5028.571% 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 : 1.584746 Lumma stability : 0.200000 Lumma impropriety factor : 0.198347 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 : 2.00000 cents Number of recognisable fifths : 2, average 698.0000 cents Number of recognisable fourths : 1, average 504.0000 cents 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 1 1 1 1 1 1 SP B ME I SD: 50.9039 c. M:-75.1429 c. Lebeng 8: 1 1 2 1 0 1 2 N T3 S SD: 35.1257 c. M: 54.5000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 23.1873 c. M: 41.2222 c. Pseudo Pelog, Pelogic-7, Antiionian 14: 2 1 4 1 1 2 3 N SD: 18.7381 c. M:-26.0000 c. 15: 2 1 4 2 1 2 3 N SD: 18.0542 c. M: 39.0000 c. 17: 2 2 4 2 1 3 3 N SD: 15.7947 c. M:-34.4706 c. 21: 3 2 5 2 2 3 4 N SD: 12.2170 c. M:-20.8571 c. 23: 3 2 6 2 2 3 5 N SD: 13.1557 c. M: 22.0870 c. 24: 3 3 5 3 2 3 5 P T3 S SD: 12.5800 c. M: 24.4167 c. 25: 3 3 6 3 2 3 5 N SD: 12.2421 c. M:-21.8000 c. 29: 4 3 7 3 2 4 6 N SD: 8.0641 c. M:-14.8966 c. 33: 4 4 8 3 3 4 7 N SD: 7.8710 c. M:-12.3333 c. 38: 5 4 9 4 3 5 8 N SD: 5.5687 c. M:-7.2105 c. 39: 5 4 10 4 3 5 8 N SD: 5.5117 c. M:-10.4872 c. 48: 6 5 12 5 4 6 10 N SD: 3.0179 c. M:-5.6667 c. 65: 8 7 16 7 5 9 13 N SD: 2.7904 c. M:-6.0000 c. 77: 10 8 19 8 6 10 16 N SD: 2.6469 c. M:-5.1429 c. 82: 10 9 20 9 6 11 17 N SD: 3.0056 c. M: 4.4390 c. 86: 11 9 21 9 7 11 18 N SD: 2.5989 c. M: 5.2558 c. 94: 12 10 23 10 7 13 19 N SD: 2.2394 c. M:-3.4255 c. 98: 12 11 24 10 8 13 20 N SD: 2.1969 c. M: 3.8367 c. 103: 13 11 25 11 8 14 21 N SD: 1.7090 c. M: 3.3689 c. 113: 14 12 28 12 9 15 23 N SD: 1.6712 c. M: 2.5929 c. 142: 18 15 35 15 11 19 29 N SD: 0.8012 c. M:-1.3803 c. 240: 30 26 59 25 19 32 49 N SD: 0.7841 c. M:-1.3333 c. 245: 31 26 60 26 19 33 50 N SD: 0.8330 c. M: 1.1633 c. 255: 32 27 63 27 20 34 52 N SD: 0.8087 c. M:-1.2549 c. 288: 36 31 71 30 23 38 59 N SD: 0.7192 c. M:-1.4653 c. 293: 37 31 72 31 23 39 60 N SD: 0.4608 c. M: 0.8430 c. 391: 49 42 96 41 31 52 80 N SD: 0.4178 c. M:-0.6113 c. 487: 61 52 120 51 38 65 100 N SD: 0.4674 c. M: 0.9589 c. 512: 64 55 126 54 40 68 105 N SD: 0.3865 c. M: 0.7500 c. 533: 67 57 131 56 42 71 109 N SD: 0.3194 c. M:-0.5516 c. 581: 73 62 143 61 46 77 119 N SD: 0.3175 c. M:-0.8072 c. 591: 74 63 146 62 46 79 121 N SD: 0.3940 c. M: 0.5093 c. 595: 75 63 147 62 47 79 122 N SD: 0.3627 c. M:-0.5798 c. 615: 77 66 151 65 48 82 126 N SD: 0.3509 c. M: 0.5610 c. 619: 78 66 152 65 49 82 127 N SD: 0.3761 c. M:-0.4863 c. 629: 79 67 155 66 49 84 129 N SD: 0.2933 c. M: 0.7456 c. 677: 85 72 167 71 53 90 139 N SD: 0.2514 c. M: 0.4343 c. 780: 98 83 192 82 61 104 160 N SD: 0.2793 c. M: 0.5385 c. 804: 101 86 198 84 63 107 165 N SD: 0.2960 c. M:-0.4303 c. 805: 101 86 198 85 63 107 165 N SD: 0.2297 c. M:-0.4596 c. 819: 103 87 202 86 64 109 168 N SD: 0.1995 c. M: 0.2918 c. 917: 115 98 226 96 72 122 188 N SD: 0.1472 c. M:-0.2694 c. 1020: 128 109 251 107 80 136 209 N SD: 0.1504 c. M: 0.2647 c. 1059: 133 113 261 111 83 141 217 N SD: 0.1265 c. M:-0.2918 c. 1068: 134 114 263 112 84 142 219 N SD: 0.1065 c. M: 0.1835 c. 1210: 152 129 298 127 95 161 248 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 10.0000 cents 2 x x x 3 x x 4 S SD: 5.3936 cents 3 x x 4 x x 5:6 S SD: 37.5380 cents 4 x 5 x 6 x 7:8 S SD: 26.5211 cents 5 x 6:7 x 8:9:10 S SD: 13.5118 cents 6 x 7:8:9 x 10:12 S SD: 22.7138 cents 7 x 8:10 x 11:12:14 S SD: 14.4776 cents 8:9 x 11:12:13:14:16 SD: 12.0027 cents 9:10:11:13 x 14:16:18 SD: 17.6528 cents 10:11:12:14:15:16:17:20 SD: 8.4982 cents 11:12:13:15 x 17:19:22 SD: 11.0935 cents 12:13:14:17:18:19:21:24 SD: 4.8414 cents 22:24:26:31:33:35:38:44 SD: 3.6700 cents 32:35:38:45:48:51:56:64 SD: 3.5179 cents 34:37:40:48:51:54:59:68 SD: 3.2967 cents 40:44:47:56:60:64:70:80 SD: 3.2218 cents 43:47:51:60:65:68:75:86 SD: 3.0687 cents 44:48:52:61:66:70:77:89 SD: 2.8999 cents 46:50:54:64:69:73:80:93 SD: 2.1817 cents 55:60:65:77:83:87:96:111 SD: 2.0735 cents 56:61:66:78:84:89:98:113 SD: 1.7442 cents 63:69:74:88:95:100:110:127 SD: 1.3185 cents 73:80:86:102:110:116:127:147 SD: 1.2782 cents 75:82:88:105:113:119:131:151 SD: 1.1763 cents 78:85:92:109:117:124:136:157 SD: 1.0452 cents 85:93:100:119:128:135:148:171 SD: 0.8749 cents 109:119:128:152:164:173:190:219 SD: 0.7335 cents 131:143:154:183:197:208:228:264 SD: 0.6148 cents 141:154:166:197:212:224:246:284 SD: 0.4636 cents 153:167:180:214:230:243:267:308 SD: 0.4402 cents 187:204:220:261:281:297:326:376 SD: 0.3708 cents 250:273:294:349:376:397:436:503 SD: 0.2735 cents 262:286:308:366:394:416:457:527 SD: 0.2422 cents 272:297:320:380:409:432:474:547 SD: 0.1184 cents 534:583:628:746:803:848:931:1074 SD: 0.1016 cents