Scala analysis: Indonesia_Siratmadu
Siratmadu (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: 134.000 cents 134.000000 2: 263.000 cents 263.000000 3: 554.000 cents 554.000000 4: 665.000 cents 665.000000 5: 800.000 cents 800.000000 6: 971.000 cents 971.000000 7: 1206.000 cents 1206.000000
SHOW/INTERVAL
0: 235.0000 cents 235.0000 1: 134.0000 cents 134.0000 2: 129.0000 cents 129.0000 3: 291.0000 cents 291.0000 4: 111.0000 cents 111.0000 5: 135.0000 cents 135.0000 6: 171.0000 cents 171.0000 7: 235.0000 cents 235.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.00000 cents 1: 1 129.00000 cents 1: 1 134.00000 cents 1: 1 135.00000 cents 1: 1 171.00000 cents 1: 1 235.00000 cents 1: 1 291.00000 cents 2: 1 246.00000 cents 2: 1 263.00000 cents 2: 1 306.00000 cents 2: 1 369.00000 cents 2: 1 402.00000 cents 2: 1 406.00000 cents 2: 1 420.00000 cents 3: 1 417.00000 cents 3: 1 498.00000 cents 3: 1 531.00000 cents 3: 1 537.00000 cents 3: 1 540.00000 cents 3: 1 541.00000 cents 3: 1 554.00000 cents 4: 1 652.00000 cents 4: 1 665.00000 cents 4: 1 666.00000 cents 4: 1 669.00000 cents 4: 1 675.00000 cents 4: 1 708.00000 cents 4: 1 789.00000 cents 5: 1 786.00000 cents 5: 1 800.00000 cents 5: 1 804.00000 cents 5: 1 837.00000 cents 5: 1 900.00000 cents 5: 1 943.00000 cents 5: 1 960.00000 cents 6: 1 915.00000 cents 6: 1 971.00000 cents 6: 1 1035.00000 cents 6: 1 1071.00000 cents 6: 1 1072.00000 cents 6: 1 1077.00000 cents 6: 1 1095.00000 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 : 134.0 263.0 554.0 665.0 800.0 971.0 1206.0 134.0 : 129.0 420.0 531.0 666.0 837.0 1072.0 1206.0 263.0 : 291.0 402.0 537.0 708.0 943.0 1077.0 1206.0 554.0 : 111.0 246.0 417.0 652.0 786.0 915.0 1206.0 665.0 : 135.0 306.0 541.0 675.0 804.0 1095.0 1206.0 800.0 : 171.0 406.0 540.0 669.0 960.0 1071.0 1206.0 971.0 : 235.0 369.0 498.0 789.0 900.0 1035.0 1206.0 1206.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.0000 .. 291.0000 cents 180.00000 cents 111.00000 cents 2: 246.0000 .. 420.0000 cents 174.00000 cents -45.00000 cents 3: 417.0000 .. 554.0000 cents 137.00000 cents -3.00000 cents 4: 652.0000 .. 789.0000 cents 137.00000 cents 98.00000 cents 5: 786.0000 .. 960.0000 cents 174.00000 cents -3.00000 cents 6: 915.0000 .. 1095.0000 cents 180.00000 cents -45.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 111.00000 cents, class 1 Average step (divided formal octave): 172.2857 cents Largest one step interval : 291.00000 cents Average / Smallest step : 1.552124 Largest / Average step : 1.689055 Largest / Smallest step : 2.621622 Median interval of one step : 135.00000 cents, amount: 1 Least squares average step : 166.07143 cents, oct.: 1162.50000 cents Scale is not proper Scale is a mode of a 1206-tone equal temperament with octave 1206.000 cents degrees: 134 263 554 665 800 971 1206 Least number of segments generator : 605 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 707 of 707.000 cents and inv. generated superset size: 433 = 426 more = 6185.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CBGADEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.522780 Lumma stability : 0.265340 Lumma impropriety factor : 0.079602 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 708.0000 cents Number of recognisable fourths : 1, average 498.0000 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: 102.6827 c. M: 148.1429 c. 8: 1 1 2 0 1 1 2 N T3 SD: 45.6213 c. M: 66.5000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 14.5357 c. M: 33.0000 c. Pseudo Pelog, Pelogic-7, Antiionian 15: 2 1 4 1 2 2 3 N SD: 16.0383 c. M:-26.8000 c. 17: 2 2 4 1 2 3 3 N SD: 17.9601 c. M: 26.5294 c. 20: 2 2 5 2 2 3 4 N SD: 12.4386 c. M: 21.8000 c. 24: 3 2 6 2 3 3 5 N SD: 10.9434 c. M:-16.7500 c. 26: 3 3 6 2 3 4 5 N SD: 9.6540 c. M: 15.6154 c. 27: 3 3 6 3 3 4 5 P SD: 8.6694 c. M: 18.0000 c. 29: 3 3 7 3 3 4 6 N SD: 10.3809 c. M: 14.5172 c. 32: 4 3 8 3 3 5 6 N SD: 10.2829 c. M:-16.7500 c. 33: 4 3 8 3 4 5 6 N SD: 8.8540 c. M:-15.7273 c. 35: 4 4 8 3 4 5 7 N SD: 7.3963 c. M:-12.6571 c. 36: 4 4 9 3 4 5 7 N SD: 6.6171 c. M:-15.5000 c. 42: 5 4 10 4 5 6 8 N SD: 5.9568 c. M:-9.5714 c. 45: 5 5 11 4 5 6 9 N SD: 5.0973 c. M:-8.8000 c. 54: 6 6 13 5 6 8 10 N SD: 5.6174 c. M:-11.6667 c. 56: 6 6 14 5 6 8 11 N SD: 3.7689 c. M:-5.9286 c. 63: 7 7 15 6 7 9 12 N SD: 3.6887 c. M:-5.2857 c. 65: 7 7 16 6 7 9 13 N SD: 3.5097 c. M: 6.2000 c. 72: 8 8 17 7 8 10 14 N SD: 3.1125 c. M:-5.0000 c. 78: 9 8 19 7 9 11 15 N SD: 2.9012 c. M:-5.1538 c. 83: 9 9 20 8 9 12 16 N SD: 2.2203 c. M:-3.3855 c. 87: 10 9 21 8 10 12 17 N SD: 2.3391 c. M:-4.6207 c. 92: 10 10 22 9 10 13 18 N SD: 2.2224 c. M:-3.5435 c. 98: 11 10 24 9 11 14 19 N SD: 1.8689 c. M: 4.5714 c. 107: 12 11 26 10 12 15 21 N SD: 1.7579 c. M: 3.7664 c. 109: 12 12 26 10 12 16 21 N SD: 2.0119 c. M: 3.3761 c. 118: 13 13 28 11 13 17 23 N SD: 1.7539 c. M: 2.8136 c. 133: 15 14 32 12 15 19 26 N SD: 1.6452 c. M: 3.0602 c. 142: 16 15 34 13 16 20 28 N SD: 1.8743 c. M: 2.8028 c. 143: 16 15 35 13 16 20 28 N SD: 1.4357 c. M:-2.6154 c. 161: 18 17 39 15 18 23 31 N SD: 1.4293 c. M:-2.7888 c. 169: 19 18 41 15 19 24 33 N SD: 1.3652 c. M:-2.6154 c. 170: 19 18 41 16 19 24 33 N SD: 1.0829 c. M:-1.8471 c. 196: 22 21 47 18 22 28 38 N SD: 0.9299 c. M:-1.5816 c. 205: 23 22 49 19 23 29 40 N SD: 0.9163 c. M:-1.7317 c. 216: 24 23 52 20 24 31 42 N SD: 0.8452 c. M: 1.5833 c. 225: 25 24 54 21 25 32 44 N SD: 0.9637 c. M: 1.9200 c. 252: 28 27 61 23 28 36 49 N SD: 0.5689 c. M:-1.1429 c. 261: 29 28 63 24 29 37 51 N SD: 0.4368 c. M: 0.6552 c. 422: 47 45 102 39 47 60 82 N SD: 0.4647 c. M:-0.8720 c. 431: 48 46 104 40 48 61 84 N SD: 0.3948 c. M:-0.9582 c. 540: 60 58 130 50 60 77 105 N SD: 0.3881 c. M:-0.5333 c. 555: 62 59 134 51 62 79 108 N SD: 0.3311 c. M:-0.7243 c. 559: 62 60 135 51 63 79 109 N SD: 0.3299 c. M: 0.5134 c. 564: 63 60 136 52 63 80 110 N SD: 0.3077 c. M:-0.7128 c. 642: 71 69 155 59 72 91 125 N SD: 0.2703 c. M: 0.6262 c. 647: 72 69 156 60 72 92 126 N SD: 0.2850 c. M:-0.4436 c. 651: 72 70 157 60 73 92 127 N SD: 0.2823 c. M: 0.6175 c. 666: 74 71 161 61 75 94 130 N SD: 0.3147 c. M: 0.4324 c. 729: 81 78 176 67 82 103 142 N SD: 0.2744 c. M:-0.6914 c. 749: 83 80 181 69 84 106 146 N SD: 0.2683 c. M: 0.5461 c. 775: 86 83 187 71 87 110 151 N SD: 0.2195 c. M: 0.5329 c. 784: 87 84 189 72 88 111 153 N SD: 0.2501 c. M: 0.4694 c. 838: 93 90 202 77 94 119 163 N SD: 0.2325 c. M:-0.4200 c. 847: 94 91 204 78 95 120 165 N SD: 0.1924 c. M:-0.4120 c. 871: 97 93 210 80 98 123 170 N SD: 0.2712 c. M: 0.3846 c. 894: 99 96 216 82 100 127 174 N SD: 0.2608 c. M: 0.4497 c. 899: 100 96 217 83 100 128 175 N SD: 0.2540 c. M: 0.4716 c. 903: 100 97 218 83 101 128 176 N SD: 0.2023 c. M: 0.4452 c. 945: 105 101 228 87 106 134 184 N SD: 0.1206 c. M:-0.1810 c. 1197: 133 128 289 110 134 170 233 N SD: 0.1093 c. M:-0.2481 c. 1206: 134 129 291 111 135 171 235 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 6.0000 cents 2 x x x 3 x x 4 S SD: 18.7195 cents 3 x x 4 x 5 x 6 S SD: 33.8023 cents 4 x 5 x 6 x 7:8 S SD: 32.2225 cents 5 x 6:7 x 8:9:10 S SD: 15.4643 cents 6 x 7:8:9:10:11:12 S SD: 22.2391 cents 7 x 8 x 10:11:12:14 S SD: 14.2085 cents 8 x 9:11:12:13:14:16 SD: 13.4863 cents 9:10 x 12:13:14:16:18 S SD: 15.0701 cents 10:11:12:14:15:16:18:20 S SD: 13.0192 cents 11:12:13:15:16:17:19:22 SD: 9.3911 cents 12:13:14:17:18:19:21:24 SD: 8.8791 cents 13:14:15:18:19:21:23:26 SD: 5.8017 cents 23:25:27:32:34:37:40:46 SD: 5.5456 cents 24:26:28:33:35:38:42:48 SD: 2.2276 cents 37:40:43:51:54:59:65:74 SD: 2.2071 cents 49:53:57:67:72:78:86:98 SD: 2.1493 cents 53:57:62:73:78:84:93:106 SD: 2.0347 cents 60:65:70:83:88:95:105:120 SD: 1.8108 cents 61:66:71:84:90:97:107:122 SD: 1.5899 cents 73:79:85:101:107:116:128:147 SD: 1.5681 cents 77:83:90:106:113:122:135:155 SD: 1.4775 cents 85:92:99:117:125:135:149:171 SD: 0.8619 cents 109:118:127:150:160:173:191:219 SD: 0.6285 cents 162:175:189:223:238:257:284:325 SD: 0.6218 cents 164:177:191:226:241:260:287:329 SD: 0.6055 cents 165:178:192:227:242:262:289:331 SD: 0.5683 cents 175:189:204:241:257:278:307:351 SD: 0.5289 cents 177:191:206:244:260:281:310:355 SD: 0.4626 cents 201:217:234:277:295:319:352:403 SD: 0.4045 cents 250:270:291:344:367:397:438:502 SD: 0.2876 cents 262:283:305:361:385:416:459:526 SD: 0.2694 cents 286:309:333:394:420:454:501:574 SD: 0.1292 cents 536:579:624:738:787:851:939:1076 SD: 0.1207 cents