Scala analysis: Indonesia_Semarngigel
Semarngigel (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: 122.000 cents 122.000000 2: 252.000 cents 252.000000 3: 553.000 cents 553.000000 4: 659.000 cents 659.000000 5: 775.000 cents 775.000000 6: 961.000 cents 961.000000 7: 1218.000 cents 1218.000000
SHOW/INTERVAL
0: 257.0000 cents 257.0000 1: 122.0000 cents 122.0000 2: 130.0000 cents 130.0000 3: 301.0000 cents 301.0000 4: 106.0000 cents 106.0000 5: 116.0000 cents 116.0000 6: 186.0000 cents 186.0000 7: 257.0000 cents 257.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.00000 cents 1: 1 116.00000 cents 1: 1 122.00000 cents 1: 1 130.00000 cents 1: 1 186.00000 cents 1: 1 257.00000 cents 1: 1 301.00000 cents 2: 1 222.00000 cents 2: 1 252.00000 cents 2: 1 302.00000 cents 2: 1 379.00000 cents 2: 1 407.00000 cents 2: 1 431.00000 cents 2: 1 443.00000 cents 3: 1 408.00000 cents 3: 1 509.00000 cents 3: 1 523.00000 cents 3: 1 537.00000 cents 3: 1 553.00000 cents 3: 1 559.00000 cents 3: 1 565.00000 cents 4: 1 653.00000 cents 4: 1 659.00000 cents 4: 1 665.00000 cents 4: 1 681.00000 cents 4: 1 695.00000 cents 4: 1 709.00000 cents 4: 1 810.00000 cents 5: 1 775.00000 cents 5: 1 787.00000 cents 5: 1 811.00000 cents 5: 1 839.00000 cents 5: 1 916.00000 cents 5: 1 966.00000 cents 5: 1 996.00000 cents 6: 1 917.00000 cents 6: 1 961.00000 cents 6: 1 1032.00000 cents 6: 1 1088.00000 cents 6: 1 1096.00000 cents 6: 1 1102.00000 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 : 122.0 252.0 553.0 659.0 775.0 961.0 1218.0 122.0 : 130.0 431.0 537.0 653.0 839.0 1096.0 1218.0 252.0 : 301.0 407.0 523.0 709.0 966.0 1088.0 1218.0 553.0 : 106.0 222.0 408.0 665.0 787.0 917.0 1218.0 659.0 : 116.0 302.0 559.0 681.0 811.0 1112.0 1218.0 775.0 : 186.0 443.0 565.0 695.0 996.0 1102.0 1218.0 961.0 : 257.0 379.0 509.0 810.0 916.0 1032.0 1218.0 1218.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.0000 .. 301.0000 cents 195.00000 cents 106.00000 cents 2: 222.0000 .. 443.0000 cents 221.00000 cents -79.00000 cents 3: 408.0000 .. 565.0000 cents 157.00000 cents -35.00000 cents 4: 653.0000 .. 810.0000 cents 157.00000 cents 88.00000 cents 5: 775.0000 .. 996.0000 cents 221.00000 cents -35.00000 cents 6: 917.0000 .. 1112.0000 cents 195.00000 cents -79.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 106.00000 cents, class 1 Average step (divided formal octave): 174.0000 cents Largest one step interval : 301.00000 cents Average / Smallest step : 1.641509 Largest / Average step : 1.729885 Largest / Smallest step : 2.839623 Median interval of one step : 130.00000 cents, amount: 1 Least squares average step : 164.91429 cents, oct.: 1154.40000 cents Scale is not proper Scale is a mode of a 1218-tone equal temperament with octave 1218.000 cents degrees: 122 252 553 659 775 961 1218 Least number of segments generator : 611 of 611.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1079 of 1079.000 cents and inv. generated superset size: 338 = 331 more = 4828.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CDGABEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.00000 cents Scale diversity : 1.538389 Lumma stability : 0.246305 Lumma impropriety factor : 0.187192 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 : 2, average 702.0000 cents Number of recognisable fourths : 1, average 509.0000 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: 0 1 2 0 1 1 2 N T3 SD: 88.8176 c. M: 137.0000 c. 8: 1 1 2 0 1 1 2 N T3 SD: 40.9749 c. M:-56.0000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 19.0121 c. M:-37.0000 c. Pseudo Pelog, Pelogic-7, Antiionian 11: 1 1 3 1 1 2 2 N D3 S SD: 18.3333 c. M:-35.5455 c. 13: 1 2 3 1 1 2 3 N SD: 20.5931 c. M:-29.0769 c. 18: 2 2 4 2 1 3 4 N SD: 17.3274 c. M: 30.6667 c. 19: 2 2 5 1 2 3 4 N SD: 11.8740 c. M:-23.9474 c. 20: 2 2 5 2 2 3 4 N SD: 9.7970 c. M:-16.7000 c. 24: 2 3 6 2 2 4 5 N SD: 9.6441 c. M: 20.5000 c. 28: 3 3 7 2 3 4 6 N SD: 7.8536 c. M:-12.5000 c. 33: 3 4 8 3 3 5 7 N SD: 5.3266 c. M: 11.2727 c. 39: 4 4 10 3 4 6 8 N SD: 5.2288 c. M:-9.1538 c. 42: 4 5 10 4 4 6 9 N SD: 6.1528 c. M:-9.0000 c. 44: 4 5 11 4 4 7 9 N SD: 5.6857 c. M: 11.2727 c. 48: 5 5 12 4 5 7 10 N SD: 5.3540 c. M:-11.6250 c. 52: 5 6 13 4 5 8 11 N SD: 4.6927 c. M:-9.1538 c. 53: 5 6 13 5 5 8 11 N SD: 4.8807 c. M:-7.4528 c. 57: 6 6 14 5 5 9 12 N SD: 3.9590 c. M:-6.2105 c. 66: 7 7 16 6 6 10 14 N SD: 4.1938 c. M:-7.1818 c. 68: 7 7 17 6 6 11 14 N SD: 3.6627 c. M:-6.2353 c. 72: 7 8 18 6 7 11 15 N SD: 3.0383 c. M:-5.2500 c. 77: 8 8 19 7 7 12 16 N SD: 3.0779 c. M:-5.3636 c. 90: 9 10 22 8 8 14 19 N SD: 2.9262 c. M:-5.1333 c. 91: 9 10 22 8 9 14 19 N SD: 2.5213 c. M: 4.2308 c. 110: 11 12 27 10 10 17 23 N SD: 2.4431 c. M:-5.3636 c. 113: 11 12 28 10 11 17 24 N SD: 2.5502 c. M: 4.0885 c. 118: 12 12 30 10 11 18 25 N SD: 2.5468 c. M:-4.3898 c. 119: 12 13 29 10 12 18 25 N SD: 2.4180 c. M: 3.9412 c. 127: 13 13 32 11 12 19 27 N SD: 2.3737 c. M:-3.2520 c. 129: 13 14 32 11 12 20 27 N SD: 2.2137 c. M:-4.0698 c. 130: 13 14 32 11 13 20 27 N SD: 2.2111 c. M:-4.0308 c. 132: 13 14 33 11 13 20 28 N SD: 2.0558 c. M: 3.8636 c. 137: 14 14 34 12 13 21 29 N SD: 1.8089 c. M: 3.0657 c. 141: 14 15 35 12 14 21 30 N SD: 1.6976 c. M: 2.4894 c. 159: 16 17 39 14 15 24 34 N SD: 1.5455 c. M: 3.4528 c. 161: 16 17 40 14 15 25 34 N SD: 1.6437 c. M: 3.3478 c. 170: 17 18 42 15 16 26 36 N SD: 0.8990 c. M: 1.3176 c. 198: 20 21 49 17 19 30 42 N SD: 0.7559 c. M: 1.3636 c. 209: 21 22 52 18 20 32 44 N SD: 0.6643 c. M: 1.4067 c. 242: 24 26 60 21 23 37 51 N SD: 0.5603 c. M: 1.2066 c. 299: 30 32 74 26 28 46 63 N SD: 0.6961 c. M: 1.0201 c. 308: 31 33 76 27 29 47 65 N SD: 0.7502 c. M:-1.4091 c. 333: 33 36 82 29 32 51 70 N SD: 0.7370 c. M: 1.2973 c. 357: 36 38 88 31 34 55 75 N SD: 0.6320 c. M:-1.1176 c. 368: 37 39 91 32 35 56 78 N SD: 0.5646 c. M: 1.1630 c. 379: 38 40 94 33 36 58 80 N SD: 0.5515 c. M: 1.3298 c. 388: 39 41 96 34 37 59 82 N SD: 0.4707 c. M: 0.8660 c. 401: 40 43 99 35 38 61 85 N SD: 0.5237 c. M: 1.1796 c. 407: 41 43 101 35 39 62 86 N SD: 0.5076 c. M:-0.6978 c. 412: 41 44 102 36 39 63 87 N SD: 0.4582 c. M: 0.7913 c. 421: 42 45 104 37 40 64 89 N SD: 0.4243 c. M:-0.6295 c. 440: 44 47 109 38 42 67 93 N SD: 0.3132 c. M:-0.6364 c. 608: 61 65 150 53 58 93 128 N SD: 0.3017 c. M:-0.5789 c. 610: 61 65 151 53 58 93 129 N SD: 0.3007 c. M: 0.5770 c. 687: 69 73 170 60 65 105 145 N SD: 0.2756 c. M:-0.5284 c. 701: 70 75 173 61 67 107 148 N SD: 0.2982 c. M: 0.4807 c. 740: 74 79 183 64 71 113 156 N SD: 0.2850 c. M: 0.6216 c. 758: 76 81 187 66 72 116 160 N SD: 0.2499 c. M: 0.4934 c. 778: 78 83 192 68 74 119 164 N SD: 0.1771 c. M: 0.3599 c. 797: 80 85 197 69 76 122 168 N SD: 0.2241 c. M: 0.3325 c. 830: 83 89 205 72 79 127 175 N SD: 0.2201 c. M:-0.4048 c. 919: 92 98 227 80 88 140 194 N SD: 0.2265 c. M:-0.3319 c. 967: 97 103 239 84 92 148 204 N SD: 0.1852 c. M: 0.3671 c. 976: 98 104 241 85 93 149 206 N SD: 0.1389 c. M:-0.2992 c. 1009: 101 108 249 88 96 154 213 N SD: 0.1376 c. M:-0.2914 c. 1020: 102 109 252 89 97 156 215 N SD: 0.1467 c. M:-0.2647 c. 1048: 105 112 259 91 100 160 221 N SD: 0.1458 c. M:-0.2137 c. 1209: 121 129 299 105 115 185 255 N SD: 0.1415 c. M: 0.2754 c. 1218: 122 130 301 106 116 186 257 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 18.0000 cents 2 x x x 3 x x 4 S SD: 23.2870 cents 3 x x 4 x x 5:6 S SD: 32.0034 cents 4 x 5 x 6 x 7:8 S SD: 35.5937 cents 5 x 6:7 x 8:9:10 S SD: 19.9449 cents 6 x 7:8:9 x 10:12 S SD: 21.2454 cents 7 x 8 x 10:11:12:14 S SD: 11.5133 cents 8 x 9:11:12:13:14:16 SD: 15.6700 cents 9:10 x 12:13:14:16:18 S SD: 15.6584 cents 11:12:13:15:16:17:19:22 SD: 8.5335 cents 13:14:15:18:19:20:23:26 SD: 6.4878 cents 19:20:22:26:28:30:33:38 SD: 6.3189 cents 24:26:28:33:35:38:42:49 SD: 5.2089 cents 26:28:30:36:38:41:45:53 SD: 3.7929 cents 30:32:35:41:44:47:52:61 SD: 3.7419 cents 32:34:37:44:47:50:56:65 SD: 3.1336 cents 37:40:43:51:54:58:64:75 SD: 3.0370 cents 39:42:45:54:57:61:68:79 SD: 1.9620 cents 56:60:65:77:82:88:98:113 SD: 1.8696 cents 58:62:67:80:85:91:101:117 SD: 1.4452 cents 69:74:80:95:101:108:120:139 SD: 1.0845 cents 82:88:95:113:120:128:143:166 SD: 0.9144 cents 108:116:125:149:158:169:188:218 SD: 0.7474 cents 136:146:157:187:199:213:237:275 SD: 0.6276 cents 140:150:162:193:205:219:244:283 SD: 0.5948 cents 179:192:207:246:262:280:312:362 SD: 0.4500 cents 205:220:237:282:300:321:357:414 SD: 0.3304 cents 248:266:287:341:363:388:432:501 SD: 0.3131 cents 274:294:317:377:401:429:477:554 SD: 0.2890 cents 287:308:332:395:420:449:500:580 SD: 0.0603 cents