Scala analysis: Indonesia_Pelog_01_b
Pelog 1 (Gambang and Bonang and Saron), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 137.000 cents 137.000000 2: 446.000 cents 446.000000 3: 575.000 cents 575.000000 4: 687.000 cents 687.000000 5: 820.000 cents 820.000000 6: 1098.000 cents 1098.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 102.0000 cents 102.0000 1: 137.0000 cents 137.0000 2: 309.0000 cents 309.0000 3: 129.0000 cents 129.0000 4: 112.0000 cents 112.0000 5: 133.0000 cents 133.0000 6: 278.0000 cents 278.0000 7: 102.0000 cents 102.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.00000 cents 1: 1 112.00000 cents 1: 1 129.00000 cents 1: 1 133.00000 cents 1: 1 137.00000 cents 1: 1 278.00000 cents 1: 1 309.00000 cents 2: 1 239.00000 cents 2: 1 241.00000 cents 2: 1 245.00000 cents 2: 1 380.00000 cents 2: 1 411.00000 cents 2: 1 438.00000 cents 2: 1 446.00000 cents 3: 1 374.00000 cents 3: 1 513.00000 cents 3: 1 517.00000 cents 3: 1 523.00000 cents 3: 1 548.00000 cents 3: 1 550.00000 cents 3: 1 575.00000 cents 4: 1 625.00000 cents 4: 1 650.00000 cents 4: 1 652.00000 cents 4: 1 677.00000 cents 4: 1 683.00000 cents 4: 1 687.00000 cents 4: 1 826.00000 cents 5: 1 754.00000 cents 5: 1 762.00000 cents 5: 1 789.00000 cents 5: 1 820.00000 cents 5: 1 955.00000 cents 5: 1 959.00000 cents 5: 1 961.00000 cents 6: 1 891.00000 cents 6: 1 922.00000 cents 6: 1 1063.00000 cents 6: 1 1067.00000 cents 6: 1 1071.00000 cents 6: 1 1088.00000 cents 6: 1 1098.00000 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 : 137.0 446.0 575.0 687.0 820.0 1098.0 1200.0 137.0 : 309.0 438.0 550.0 683.0 961.0 1063.0 1200.0 446.0 : 129.0 241.0 374.0 652.0 754.0 891.0 1200.0 575.0 : 112.0 245.0 523.0 625.0 762.0 1071.0 1200.0 687.0 : 133.0 411.0 513.0 650.0 959.0 1088.0 1200.0 820.0 : 278.0 380.0 517.0 826.0 955.0 1067.0 1200.0 1098.0: 102.0 239.0 548.0 677.0 789.0 922.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.0000 .. 309.0000 cents 207.00000 cents 102.00000 cents 2: 239.0000 .. 446.0000 cents 207.00000 cents -70.00000 cents 3: 374.0000 .. 575.0000 cents 201.00000 cents -72.00000 cents 4: 625.0000 .. 826.0000 cents 201.00000 cents 50.00000 cents 5: 754.0000 .. 961.0000 cents 207.00000 cents -72.00000 cents 6: 891.0000 .. 1098.0000 cents 207.00000 cents -70.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 102.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 309.00000 cents Average / Smallest step : 1.680672 Largest / Average step : 1.802500 Largest / Smallest step : 3.029412 Median interval of one step : 133.00000 cents, amount: 1 Least squares average step : 175.64286 cents, oct.: 1229.50000 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 137 446 575 687 820 1098 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 877 of 877.000 cents and inv. generated superset size: 326 = 319 more = 4657.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : EGCBDFA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.00000 cents Scale diversity : 1.534403 Lumma stability : 0.211667 Lumma impropriety factor : 0.236667 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 : 1, average 687.0000 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 2 0 1 1 1 1 N T3 SD: 47.4132 c. M: 69.4286 c. 8: 1 2 1 0 1 2 1 N T3 I SD: 47.1820 c. M: 87.0000 c. 9: 1 2 1 1 1 2 1 P M ME I SD: 28.4373 c. M: 46.0000 c. 10: 1 3 1 1 1 2 1 N T3 SD: 23.5524 c. M:-34.0000 c. 14: 2 3 2 1 2 3 1 P T3 SD: 23.1780 c. M:-37.1429 c. 16: 2 4 2 1 2 4 1 N T3 SD: 15.6205 c. M:-27.0000 c. 19: 2 5 2 2 2 4 2 N T3 SD: 10.8551 c. M: 24.3158 c. 21: 2 6 2 2 2 5 2 N T3 SD: 13.1228 c. M: 22.7143 c. 25: 3 6 3 2 3 6 2 N T3 SD: 8.6437 c. M: 15.0000 c. 32: 4 8 3 3 4 7 3 N SD: 9.4150 c. M:-13.0000 c. 33: 4 8 4 3 4 7 3 N SD: 8.8168 c. M:-16.3636 c. 35: 4 9 4 3 4 8 3 N SD: 3.2158 c. M:-7.8571 c. 59: 7 15 6 6 6 14 5 N SD: 4.1985 c. M: 6.4407 c. 60: 7 15 7 5 7 14 5 N SD: 4.1918 c. M: 7.0000 c. 61: 7 16 6 6 7 14 5 N SD: 4.0868 c. M:-6.4590 c. 67: 8 17 7 6 8 15 6 N SD: 4.3419 c. M: 6.4030 c. 69: 8 18 7 7 7 16 6 N SD: 4.3263 c. M:-8.6522 c. 72: 8 19 7 7 8 17 6 N SD: 4.2669 c. M: 8.3333 c. 73: 8 19 8 7 8 17 6 N SD: 2.9676 c. M: 5.4932 c. 79: 9 20 9 7 9 18 7 N SD: 3.0687 c. M: 5.4937 c. 80: 9 21 8 8 9 18 7 N SD: 3.5456 c. M:-5.0000 c. 81: 9 21 9 7 9 19 7 N SD: 3.4605 c. M: 5.5185 c. 85: 10 22 9 8 9 20 7 N SD: 3.7696 c. M:-5.7647 c. 86: 10 22 9 8 10 20 7 N SD: 2.8082 c. M:-4.3256 c. 94: 11 24 10 9 10 22 8 N SD: 1.9690 c. M:-3.4255 c. 105: 12 27 11 10 12 24 9 N SD: 1.8287 c. M: 3.5714 c. 107: 12 28 11 10 12 25 9 N SD: 2.1720 c. M: 3.0374 c. 121: 14 31 13 11 14 28 10 N SD: 2.0239 c. M:-3.1405 c. 129: 15 33 14 12 14 30 11 N SD: 1.3972 c. M:-2.5349 c. 140: 16 36 15 13 16 32 12 N SD: 1.2628 c. M:-2.8571 c. 142: 16 37 15 13 16 33 12 N SD: 1.3903 c. M: 2.4930 c. 167: 19 43 18 16 18 39 14 N SD: 1.2597 c. M:-2.8204 c. 173: 20 44 19 16 19 40 15 N SD: 1.4305 c. M: 2.0694 c. 175: 20 45 19 16 20 40 15 N SD: 1.2902 c. M:-2.8571 c. 177: 20 46 19 16 20 41 15 N SD: 1.2541 c. M: 2.2542 c. 186: 21 48 20 17 21 43 16 N SD: 1.4814 c. M: 3.1290 c. 190: 22 49 20 18 21 44 16 N SD: 1.4014 c. M:-2.4211 c. 192: 22 49 21 18 21 45 16 N SD: 1.2607 c. M: 2.2500 c. 199: 23 51 21 19 22 46 17 N SD: 1.0655 c. M: 2.1357 c. 202: 23 52 22 19 22 47 17 N SD: 1.0268 c. M:-2.1089 c. 208: 24 53 23 19 23 48 18 N SD: 1.3720 c. M:-1.9231 c. 209: 24 54 22 20 23 48 18 N SD: 1.2906 c. M:-1.9952 c. 211: 24 54 23 20 23 49 18 N SD: 1.1282 c. M: 2.3981 c. 225: 26 58 24 21 25 52 19 N SD: 1.2536 c. M:-2.0000 c. 227: 26 58 25 21 25 53 19 N SD: 1.0902 c. M: 1.9471 c. 234: 27 60 25 22 26 54 20 N SD: 0.6744 c. M:-1.4615 c. 236: 27 61 25 22 26 55 20 N SD: 0.8134 c. M:-1.4576 c. 269: 31 69 29 25 30 62 23 N SD: 0.6460 c. M:-1.2900 c. 271: 31 70 29 25 30 63 23 N SD: 0.6674 c. M:-1.2325 c. 307: 35 79 33 29 34 71 26 N SD: 0.5496 c. M:-0.9479 c. 342: 39 88 37 32 38 79 29 N SD: 0.5414 c. M:-1.0526 c. 353: 40 91 38 33 39 82 30 N SD: 0.5841 c. M: 1.0227 c. 376: 43 97 40 35 42 87 32 N SD: 0.4988 c. M: 0.8298 c. 388: 44 100 42 36 43 90 33 N SD: 0.4859 c. M: 0.9175 c. 411: 47 106 44 38 46 95 35 N SD: 0.4749 c. M: 0.8686 c. 438: 50 113 47 41 48 102 37 N SD: 0.5307 c. M: 0.8219 c. 447: 51 115 48 42 49 104 38 N SD: 0.5228 c. M: 1.2081 c. 449: 51 116 48 42 50 104 38 N SD: 0.4137 c. M: 0.6971 c. 482: 55 124 52 45 53 112 41 N SD: 0.3781 c. M: 0.9129 c. 484: 55 125 52 45 54 112 41 N SD: 0.4025 c. M:-0.6612 c. 493: 56 127 53 46 55 114 42 N SD: 0.4766 c. M: 0.6917 c. 505: 58 130 54 47 56 117 43 N SD: 0.4403 c. M:-0.8218 c. 517: 59 133 56 48 57 120 44 N SD: 0.3728 c. M: 0.6576 c. 528: 60 136 57 49 59 122 45 N SD: 0.4454 c. M: 0.6364 c. 543: 62 140 58 51 60 126 46 N SD: 0.2814 c. M: 0.4144 c. 578: 66 149 62 54 64 134 49 N SD: 0.1924 c. M:-0.3668 c. 622: 71 160 67 58 69 144 53 N SD: 0.1788 c. M: 0.3408 c. 893: 102 230 96 83 99 207 76 N SD: 0.1889 c. M: 0.3259 c. 931: 106 240 100 87 103 216 79 N SD: 0.1866 c. M: 0.3727 c. 966: 110 249 104 90 107 224 82 N SD: 0.1634 c. M: 0.3540 c. 1071: 122 276 115 100 119 248 91 N SD: 0.1683 c. M: 0.3053 c. 1093: 125 281 118 102 121 253 93 N SD: 0.2126 c. M:-0.2973 c. 1095: 125 282 118 102 121 254 93 N SD: 0.1754 c. M:-0.3425 c. 1106: 126 285 119 103 123 256 94 N SD: 0.1673 c. M: 0.2911 c. 1165: 133 300 125 109 129 270 99 N SD: 0.0966 c. M: 0.2361 c. 1200: 137 309 129 112 133 278 102 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 7.4775 cents 3 x 4 x x 5 x 6 S SD: 27.5897 cents 4 x 5 x 6 x x 8 S SD: 20.5104 cents 5 x 6:7 x 8:9:10 S SD: 30.6949 cents 6:7:8 x 9:10:11:12 S SD: 27.0321 cents 7:8:9:10 x 11:13:14 SD: 18.9235 cents 8:9:10:11:12:13:15:16 SD: 13.8062 cents 9:10:12 x 13:14:17:18 SD: 16.9575 cents 10:11:13:14:15:16:19:20 SD: 5.2409 cents 23:25:30:32:34:37:43:46 SD: 3.4826 cents 25:27:32:35:37:40:47:50 SD: 3.3572 cents 33:36:43:46:49:53:62:66 SD: 2.7911 cents 35:38:45:49:52:56:66:70 SD: 2.2449 cents 48:52:62:67:71:77:91:96 SD: 1.9891 cents 51:55:66:71:76:82:96:102 SD: 1.2020 cents 61:66:79:85:91:98:115:122 SD: 0.8338 cents 86:93:111:120:128:138:162:172 SD: 0.7816 cents 96:104:124:134:143:154:181:192 SD: 0.7584 cents 99:107:128:138:147:159:187:198 SD: 0.6969 cents 109:118:141:152:162:175:206:218 SD: 0.6011 cents 132:143:171:184:196:212:249:264 SD: 0.5450 cents 160:173:207:223:238:257:302:320 SD: 0.3702 cents 183:198:237:255:272:294:345:366 SD: 0.3176 cents 218:236:282:304:324:350:411:436 SD: 0.1980 cents 269:291:348:375:400:432:507:538 SD: 0.1732 cents 279:302:361:389:415:448:526:558 SD: 0.0944 cents