Scala analysis: Indonesia_Harjamulya
Harjamulya (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: 253.000 cents 253.000000 3: 563.000 cents 563.000000 4: 687.000 cents 687.000000 5: 786.000 cents 786.000000 6: 947.000 cents 947.000000 7: 1209.000 cents 1209.000000
SHOW/INTERVAL
0: 262.0000 cents 262.0000 1: 122.0000 cents 122.0000 2: 131.0000 cents 131.0000 3: 310.0000 cents 310.0000 4: 124.0000 cents 124.0000 5: 99.0000 cents 99.0000 6: 161.0000 cents 161.0000 7: 262.0000 cents 262.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 99.00000 cents 1: 1 122.00000 cents 1: 1 124.00000 cents 1: 1 131.00000 cents 1: 1 161.00000 cents 1: 1 262.00000 cents 1: 1 310.00000 cents 2: 1 223.00000 cents 2: 1 253.00000 cents 2: 1 260.00000 cents 2: 1 384.00000 cents 2: 1 423.00000 cents 2: 1 434.00000 cents 2: 1 441.00000 cents 3: 1 384.00000 cents 3: 1 515.00000 cents 3: 1 522.00000 cents 3: 1 533.00000 cents 3: 1 545.00000 cents 3: 1 563.00000 cents 3: 1 565.00000 cents 4: 1 644.00000 cents 4: 1 646.00000 cents 4: 1 664.00000 cents 4: 1 676.00000 cents 4: 1 687.00000 cents 4: 1 694.00000 cents 4: 1 825.00000 cents 5: 1 768.00000 cents 5: 1 775.00000 cents 5: 1 786.00000 cents 5: 1 825.00000 cents 5: 1 949.00000 cents 5: 1 956.00000 cents 5: 1 986.00000 cents 6: 1 899.00000 cents 6: 1 947.00000 cents 6: 1 1048.00000 cents 6: 1 1078.00000 cents 6: 1 1085.00000 cents 6: 1 1087.00000 cents 6: 1 1110.00000 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 : 122.0 253.0 563.0 687.0 786.0 947.0 1209.0 122.0 : 131.0 441.0 565.0 664.0 825.0 1087.0 1209.0 253.0 : 310.0 434.0 533.0 694.0 956.0 1078.0 1209.0 563.0 : 124.0 223.0 384.0 646.0 768.0 899.0 1209.0 687.0 : 99.0 260.0 522.0 644.0 775.0 1085.0 1209.0 786.0 : 161.0 423.0 545.0 676.0 986.0 1110.0 1209.0 947.0 : 262.0 384.0 515.0 825.0 949.0 1048.0 1209.0 1209.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 99.0000 .. 310.0000 cents 211.00000 cents 99.00000 cents 2: 223.0000 .. 441.0000 cents 218.00000 cents -87.00000 cents 3: 384.0000 .. 565.0000 cents 181.00000 cents -57.00000 cents 4: 644.0000 .. 825.0000 cents 181.00000 cents 79.00000 cents 5: 768.0000 .. 986.0000 cents 218.00000 cents -57.00000 cents 6: 899.0000 .. 1110.0000 cents 211.00000 cents -87.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 99.00000 cents, class 1 Average step (divided formal octave): 172.7143 cents Largest one step interval : 310.00000 cents Average / Smallest step : 1.744589 Largest / Average step : 1.794872 Largest / Smallest step : 3.131313 Median interval of one step : 131.00000 cents, amount: 1 Least squares average step : 165.28571 cents, oct.: 1157.00000 cents Scale is not proper Scale is a mode of a 1209-tone equal temperament with octave 1209.000 cents degrees: 122 253 563 687 786 947 1209 Least number of segments generator : 605 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1055 of 1055.000 cents and inv. generated superset size: 225 = 218 more = 3214.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BDGCAEF Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.551075 Lumma stability : 0.229115 Lumma impropriety factor : 0.238213 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / 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 Most common intervals : 384.00000 cents & inv., amount: 2 Most common triad is 0.0 384.000 825.000 cents, amount: 1 Number of recognisable fifths : 2, average 690.5000 cents Number of appreciable fifths : 1, average 694.0000 cents Number of recognisable fourths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 2 = 28.5714% -- Rational properties --
FIT/MODE
7: 0 1 2 1 0 1 2 N T3 SD: 74.9946 c. M: 122.0000 c. 8: 1 1 2 1 0 1 2 N T3 S SD: 41.8299 c. M:-68.6250 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 15.7475 c. M: 25.6667 c. Pseudo Pelog, Pelogic-7, Antiionian 19: 2 2 5 2 1 3 4 N SD: 11.0195 c. M: 22.4211 c. 20: 2 2 5 2 2 3 4 N SD: 14.0408 c. M: 22.0500 c. 23: 2 3 6 2 2 3 5 N SD: 9.5084 c. M: 16.8696 c. 28: 3 3 7 3 2 4 6 N SD: 5.3065 c. M: 8.7857 c. 37: 4 4 9 4 3 5 8 N SD: 5.4384 c. M:-8.7027 c. 47: 5 5 12 5 4 6 10 N SD: 6.3268 c. M:-11.4255 c. 49: 5 5 13 5 4 6 11 N SD: 5.0325 c. M: 9.4082 c. 51: 5 6 13 5 4 7 11 N SD: 4.1938 c. M:-7.7647 c. 60: 6 7 15 6 5 8 13 N SD: 3.5130 c. M:-8.9500 c. 63: 6 7 16 7 5 8 14 N SD: 4.8011 c. M: 6.8571 c. 66: 7 7 17 7 5 9 14 N SD: 5.2180 c. M:-9.0909 c. 67: 7 7 17 7 6 8 15 N SD: 4.9598 c. M: 8.6716 c. 68: 7 7 18 7 5 9 15 N SD: 4.3868 c. M:-6.3971 c. 69: 7 7 18 7 6 9 15 N SD: 3.4871 c. M: 7.6957 c. 77: 8 8 20 8 6 10 17 N SD: 2.9575 c. M: 4.9221 c. 86: 9 9 22 9 7 11 19 N SD: 2.7247 c. M: 5.1047 c. 88: 9 9 23 9 7 12 19 N SD: 2.5262 c. M: 5.7045 c. 92: 9 10 24 9 8 12 20 N SD: 2.6555 c. M: 3.7283 c. 97: 10 10 25 10 8 13 21 N SD: 2.0069 c. M: 3.7216 c. 111: 11 12 29 11 9 15 24 N SD: 1.9487 c. M:-3.3784 c. 120: 12 13 31 12 10 16 26 N SD: 1.0386 c. M: 1.9000 c. 148: 15 16 38 15 12 20 32 N SD: 0.8420 c. M: 1.7838 c. 157: 16 17 40 16 13 21 34 N SD: 0.9613 c. M: 1.6433 c. 225: 23 24 58 23 18 30 49 N SD: 1.1138 c. M:-1.5867 c. 234: 24 25 60 24 19 31 51 N SD: 0.9840 c. M:-2.0000 c. 245: 25 26 63 25 20 33 53 N SD: 1.0090 c. M: 1.3837 c. 249: 25 27 64 25 21 33 54 N SD: 0.9828 c. M: 2.3855 c. 257: 26 28 66 26 21 34 56 N SD: 0.9026 c. M:-1.5136 c. 258: 26 28 66 27 21 34 56 N SD: 0.8987 c. M:-1.8488 c. 268: 27 29 69 27 22 36 58 N SD: 0.7467 c. M: 1.2985 c. 277: 28 30 71 28 23 37 60 N SD: 0.6862 c. M: 1.7545 c. 305: 31 33 78 31 25 41 66 N SD: 0.7795 c. M: 1.2393 c. 315: 32 34 81 32 26 42 68 N SD: 0.7449 c. M:-1.2000 c. 320: 32 35 82 33 26 43 69 N SD: 0.6919 c. M:-1.3094 c. 329: 33 36 84 34 27 44 71 N SD: 0.6338 c. M:-1.0912 c. 354: 36 38 91 36 29 47 77 N SD: 0.6231 c. M: 0.9746 c. 359: 36 39 92 37 29 48 78 N SD: 0.6912 c. M: 1.3287 c. 368: 37 40 94 38 30 49 80 N SD: 0.6684 c. M: 1.2092 c. 369: 37 40 95 38 30 49 80 N SD: 0.6135 c. M:-1.0488 c. 378: 38 41 97 39 31 50 82 N SD: 0.4608 c. M:-0.8095 c. 406: 41 44 104 42 33 54 88 N SD: 0.3495 c. M:-0.8793 c. 415: 42 45 106 43 34 55 90 N SD: 0.4680 c. M: 0.7422 c. 458: 46 50 117 47 38 61 99 N SD: 0.5785 c. M: 0.7358 c. 466: 47 51 119 48 38 62 101 N SD: 0.5154 c. M:-1.2532 c. 475: 48 51 122 49 39 63 103 N SD: 0.4820 c. M: 1.0189 c. 477: 48 52 122 49 39 64 103 N SD: 0.4471 c. M:-0.9371 c. 498: 50 54 128 51 41 66 108 N SD: 0.3913 c. M: 0.6145 c. 517: 52 56 133 53 42 69 112 N SD: 0.3842 c. M:-0.5764 c. 526: 53 57 135 54 43 70 114 N SD: 0.1435 c. M:-0.2452 c. 683: 69 74 175 70 56 91 148 N SD: 0.1105 c. M: 0.1889 c. 1089: 110 118 279 112 89 145 236 N SD: 0.1144 c. M:-0.2094 c. 1209: 122 131 310 124 99 161 262 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 9.0000 cents 2 x x x 3 x x 4 S SD: 8.7271 cents 3 x x 4 x x 5:6 S SD: 30.2289 cents 4 x 5 x 6 x 7:8 S SD: 34.0529 cents 5 x 6:7 x 8:9:10 S SD: 20.1356 cents 6 x 7:8:9 x 10:12 S SD: 18.5905 cents 7 x 8:10 x 11:12:14 S SD: 12.2164 cents 8 x 9:11:12:13:14:16 SD: 13.2294 cents 9:10 x 12:13:14:16:18 S SD: 19.2509 cents 10:11:12:14:15:16:17:20 SD: 12.8010 cents 11:12:13:15:16:17:19:22 SD: 10.5046 cents 12:13:14:17:18:19:21:24 SD: 7.7453 cents 14:15:16:19:21:22:24:28 SD: 6.6542 cents 18:19:21:25:27:28:31:36 SD: 6.0864 cents 23:25:27:32:34:36:40:46 SD: 5.7094 cents 24:26:28:33:36:38:41:48 SD: 5.3361 cents 25:27:29:35:37:39:43:50 SD: 4.5145 cents 26:28:30:36:39:41:45:52 SD: 2.8060 cents 44:47:51:61:65:69:76:88 SD: 2.6261 cents 45:48:52:62:67:71:78:90 SD: 2.4941 cents 51:55:59:71:76:80:88:103 SD: 2.4655 cents 52:56:60:72:77:82:90:105 SD: 1.9843 cents 57:61:66:79:85:90:99:115 SD: 1.9472 cents 65:70:75:90:97:102:112:131 SD: 1.9307 cents 66:71:76:91:98:104:114:133 SD: 1.8616 cents 68:73:79:94:101:107:118:137 SD: 1.5746 cents 70:75:81:97:104:110:121:141 SD: 0.8561 cents 96:103:111:133:143:151:166:193 SD: 0.6014 cents 164:176:190:227:244:258:283:330 SD: 0.5507 cents 177:190:205:245:263:279:306:356 SD: 0.4171 cents 203:218:235:281:302:320:351:408 SD: 0.3921 cents 216:232:250:299:321:340:373:434 SD: 0.3815 cents 247:265:286:342:367:389:427:497 SD: 0.3431 cents 261:280:302:361:388:411:451:525 SD: 0.2725 cents 273:293:316:378:406:430:472:549 SD: 0.1819 cents 482:517:558:667:717:759:833:969 SD: 0.1646 cents 489:525:566:677:727:770:845:983 SD: 0.1604 cents 534:573:618:739:794:841:923:1074 SD: 0.1482 cents 559:600:647:774:831:880:966:1124 SD: 0.1462 cents 573:615:663:793:852:902:990:1152 SD: 0.1432 cents 585:628:677:810:870:921:1011:1176 SD: 0.1371 cents