Scala analysis: Indonesia_Mangunharja
Mangunharja (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: 127.000 cents 127.000000 2: 267.000 cents 267.000000 3: 576.000 cents 576.000000 4: 685.000 cents 685.000000 5: 787.000 cents 787.000000 6: 957.000 cents 957.000000 7: 1255.000 cents 1255.000000
SHOW/INTERVAL
0: 298.0000 cents 298.0000 1: 127.0000 cents 127.0000 2: 140.0000 cents 140.0000 3: 309.0000 cents 309.0000 4: 109.0000 cents 109.0000 5: 102.0000 cents 102.0000 6: 170.0000 cents 170.0000 7: 298.0000 cents 298.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.00000 cents 1: 1 109.00000 cents 1: 1 127.00000 cents 1: 1 140.00000 cents 1: 1 170.00000 cents 1: 1 298.00000 cents 1: 1 309.00000 cents 2: 1 211.00000 cents 2: 1 267.00000 cents 2: 1 272.00000 cents 2: 1 418.00000 cents 2: 1 425.00000 cents 2: 1 449.00000 cents 2: 1 468.00000 cents 3: 1 381.00000 cents 3: 1 520.00000 cents 3: 1 558.00000 cents 3: 1 565.00000 cents 3: 1 570.00000 cents 3: 1 576.00000 cents 3: 1 595.00000 cents 4: 1 660.00000 cents 4: 1 679.00000 cents 4: 1 685.00000 cents 4: 1 690.00000 cents 4: 1 697.00000 cents 4: 1 735.00000 cents 4: 1 874.00000 cents 5: 1 787.00000 cents 5: 1 806.00000 cents 5: 1 830.00000 cents 5: 1 837.00000 cents 5: 1 983.00000 cents 5: 1 988.00000 cents 5: 1 1044.00000 cents 6: 1 946.00000 cents 6: 1 957.00000 cents 6: 1 1085.00000 cents 6: 1 1115.00000 cents 6: 1 1128.00000 cents 6: 1 1146.00000 cents 6: 1 1153.00000 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 : 127.0 267.0 576.0 685.0 787.0 957.0 1255.0 127.0 : 140.0 449.0 558.0 660.0 830.0 1128.0 1255.0 267.0 : 309.0 418.0 520.0 690.0 988.0 1115.0 1255.0 576.0 : 109.0 211.0 381.0 679.0 806.0 946.0 1255.0 685.0 : 102.0 272.0 570.0 697.0 837.0 1146.0 1255.0 787.0 : 170.0 468.0 595.0 735.0 1044.0 1153.0 1255.0 957.0 : 298.0 425.0 565.0 874.0 983.0 1085.0 1255.0 1255.0
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: 211.0000 .. 468.0000 cents 257.00000 cents -98.00000 cents 3: 381.0000 .. 595.0000 cents 214.00000 cents -87.00000 cents 4: 660.0000 .. 874.0000 cents 214.00000 cents 65.00000 cents 5: 787.0000 .. 1044.0000 cents 257.00000 cents -87.00000 cents 6: 946.0000 .. 1153.0000 cents 207.00000 cents -98.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 102.00000 cents, class 1 Average step (divided formal octave): 179.2857 cents Largest one step interval : 309.00000 cents Average / Smallest step : 1.757703 Largest / Average step : 1.723506 Largest / Smallest step : 3.029412 Median interval of one step : 140.00000 cents, amount: 1 Least squares average step : 168.50714 cents, oct.: 1179.55000 cents Scale is not proper Scale is a mode of a 1255-tone equal temperament with octave 1255.000 cents degrees: 127 267 576 685 787 957 1255 Least number of segments generator : 628 of 628.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1158 of 1158.000 cents and inv. generated superset size: 291 = 284 more = 4157.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CDGBAEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 26.00000 cents Scale diversity : 1.540791 Lumma stability : 0.214343 Lumma impropriety factor : 0.294821 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 : 5.00000 cents Number of recognisable fifths : 2, average 693.5000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 0 2 1 0 1 2 N T3 SD: 55.3748 c. M: 87.7143 c. 8: 1 1 2 0 1 1 2 N T3 SD: 36.4330 c. M: 57.5000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 22.7083 c. M:-49.6667 c. Pseudo Pelog, Pelogic-7, Antiionian 11: 1 1 3 1 1 1 3 N M DE S SD: 23.2991 c. M: 44.2727 c. 13: 1 2 3 1 1 2 3 N SD: 16.1297 c. M: 30.4615 c. 17: 2 2 4 1 2 2 4 N SD: 18.8938 c. M:-28.2941 c. 18: 2 2 4 2 1 3 4 N SD: 14.8569 c. M: 20.0556 c. 20: 2 2 5 2 1 3 5 N SD: 16.1087 c. M: 34.0000 c. 22: 2 3 5 2 2 3 5 N SD: 10.8784 c. M:-18.2273 c. 24: 2 3 6 2 2 3 6 N SD: 10.7963 c. M: 22.4167 c. 29: 3 3 7 3 2 4 7 N SD: 7.4230 c. M: 13.4138 c. 33: 3 4 8 3 3 4 8 N SD: 7.2958 c. M: 12.9091 c. 37: 4 4 9 3 3 5 9 N SD: 5.8361 c. M:-8.6757 c. 42: 4 5 10 4 3 6 10 N SD: 5.8010 c. M: 10.0952 c. 46: 5 5 11 4 4 6 11 N SD: 4.8197 c. M:-9.4130 c. 51: 5 6 12 5 4 7 12 N SD: 4.6805 c. M: 10.0196 c. 59: 6 7 14 5 5 8 14 N SD: 4.0119 c. M:-9.5254 c. 67: 7 7 17 6 5 9 16 N SD: 4.2995 c. M:-8.0597 c. 69: 7 8 17 6 5 10 16 N SD: 5.0868 c. M:-6.9855 c. 70: 7 8 17 6 6 9 17 N SD: 3.2620 c. M: 6.7857 c. 72: 7 8 18 6 6 10 17 N SD: 3.6457 c. M: 5.5417 c. 80: 8 9 20 7 6 11 19 N SD: 2.8409 c. M:-5.2500 c. 81: 8 9 20 7 7 11 19 N SD: 3.0160 c. M:-3.6173 c. 88: 9 10 21 8 7 12 21 N SD: 2.8691 c. M: 5.5455 c. 89: 9 10 22 8 7 12 21 N SD: 2.7134 c. M:-5.9551 c. 113: 11 13 28 10 9 15 27 N SD: 2.5233 c. M: 4.8319 c. 117: 12 13 29 10 9 16 28 N SD: 2.3357 c. M: 3.9658 c. 118: 12 13 29 10 10 16 28 N SD: 1.8191 c. M: 4.3220 c. 126: 13 14 31 11 10 17 30 N SD: 1.6285 c. M:-2.4841 c. 150: 15 17 37 13 12 20 36 N SD: 1.5185 c. M: 3.2000 c. 159: 16 18 39 14 13 21 38 N SD: 1.4327 c. M:-2.3082 c. 161: 16 18 40 14 13 22 38 N SD: 1.4133 c. M: 2.2795 c. 185: 19 20 46 16 15 25 44 N SD: 1.2043 c. M: 2.4324 c. 198: 20 22 49 17 16 27 47 N SD: 0.6097 c. M: 1.0404 c. 207: 21 23 51 18 17 28 49 N SD: 0.5825 c. M:-1.1643 c. 333: 34 37 82 29 27 45 79 N SD: 0.6953 c. M:-1.1381 c. 346: 35 39 85 30 28 47 82 N SD: 0.6689 c. M:-1.4104 c. 357: 36 40 88 31 29 48 85 N SD: 0.4807 c. M: 0.8095 c. 405: 41 45 100 35 33 55 96 N SD: 0.3167 c. M:-0.5185 c. 654: 66 73 161 57 53 89 155 N SD: 0.3070 c. M:-0.5612 c. 673: 68 75 166 58 55 91 160 N SD: 0.3219 c. M: 0.6241 c. 682: 69 76 168 59 56 92 162 N SD: 0.2939 c. M:-0.5953 c. 691: 70 77 170 60 56 94 164 N SD: 0.2750 c. M: 0.5818 c. 700: 71 78 172 61 57 95 166 N SD: 0.2716 c. M: 0.4929 c. 724: 73 81 178 63 59 98 172 N SD: 0.2874 c. M: 0.5028 c. 762: 77 85 188 66 62 103 181 N SD: 0.2279 c. M:-0.4436 c. 780: 79 87 192 68 63 106 185 N SD: 0.2265 c. M:-0.4231 c. 813: 82 91 200 71 66 110 193 N SD: 0.2541 c. M: 0.4194 c. 850: 86 95 209 74 69 115 202 N SD: 0.1509 c. M: 0.2471 c. 1048: 106 117 258 91 85 142 249 N SD: 0.1151 c. M: 0.2300 c. 1057: 107 118 260 92 86 143 251 N SD: 0.1142 c. M:-0.1949 c. 1255: 127 140 309 109 102 170 298 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 55.0000 cents 2 x x x 3 x x 4 S SD: 28.7770 cents 3 x x 4 x x 5:6 S SD: 39.9705 cents 4 x 5 x 6 x 7:8 S SD: 33.2491 cents 5 x 6:7 x 8:9:10 S SD: 19.8166 cents 6 x 7:8:9 x 10:12 S SD: 24.2208 cents 7 x 8:10 x 11:12:14 S SD: 16.2725 cents 8 x 9:11:12:13:14:17 SD: 16.9784 cents 9:10:11 x 13:14:16:19 SD: 20.6706 cents 10:11:12:14:15:16:17:21 SD: 12.1151 cents 11:12:13:15:16:17:19:23 SD: 10.6978 cents 12:13:14:17:18:19:21:25 SD: 5.7306 cents 23:25:27:32:34:36:40:47 SD: 4.3955 cents 28:30:33:39:42:44:49:58 SD: 4.1594 cents 30:32:35:42:45:47:52:62 SD: 3.7360 cents 31:33:36:43:46:49:54:64 SD: 3.3745 cents 35:38:41:49:52:55:61:72 SD: 2.8872 cents 41:44:48:57:61:65:71:85 SD: 2.4955 cents 43:46:50:60:64:68:75:89 SD: 2.2568 cents 49:53:57:68:73:77:85:101 SD: 2.2445 cents 53:57:62:74:79:84:92:109 SD: 2.1026 cents 54:58:63:75:80:85:94:111 SD: 1.7575 cents 64:69:75:89:95:101:111:132 SD: 1.5671 cents 66:71:77:92:98:104:115:136 SD: 0.8008 cents 132:142:154:184:196:208:229:273 SD: 0.6614 cents 144:155:168:201:214:227:250:297 SD: 0.4633 cents 198:213:231:276:294:312:344:409 SD: 0.2535 cents 264:284:308:368:392:416:459:545 SD: 0.2078 cents 276:297:322:385:410:435:480:570 SD: 0.1947 cents 408:439:476:569:606:643:709:842 SD: 0.1397 cents 527:567:615:735:783:830:916:1088 SD: 0.1313 cents 577:621:673:805:857:909:1003:1191 SD: 0.1302 cents