Scala analysis: Indonesia_Konservatori_Karawitan_Gamelan_III_a
Konservatori Karawitan Gamelan III (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: 119.000 cents 119.000000 2: 224.000 cents 224.000000 3: 492.000 cents 492.000000 4: 685.000 cents 685.000000 5: 827.000 cents 827.000000 6: 951.000 cents 951.000000 7: 1207.000 cents 1207.000000
SHOW/INTERVAL
0: 256.0000 cents 256.0000 1: 119.0000 cents 119.0000 2: 105.0000 cents 105.0000 3: 268.0000 cents 268.0000 4: 193.0000 cents 193.0000 5: 142.0000 cents 142.0000 6: 124.0000 cents 124.0000 7: 256.0000 cents 256.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.00000 cents 1: 1 119.00000 cents 1: 1 124.00000 cents 1: 1 142.00000 cents 1: 1 193.00000 cents 1: 1 256.00000 cents 1: 1 268.00000 cents 2: 1 224.00000 cents 2: 1 266.00000 cents 2: 1 335.00000 cents 2: 1 373.00000 cents 2: 1 375.00000 cents 2: 1 380.00000 cents 2: 1 461.00000 cents 3: 1 459.00000 cents 3: 1 480.00000 cents 3: 1 492.00000 cents 3: 1 499.00000 cents 3: 1 522.00000 cents 3: 1 566.00000 cents 3: 1 603.00000 cents 4: 1 604.00000 cents 4: 1 641.00000 cents 4: 1 685.00000 cents 4: 1 708.00000 cents 4: 1 715.00000 cents 4: 1 727.00000 cents 4: 1 748.00000 cents 5: 1 746.00000 cents 5: 1 827.00000 cents 5: 1 832.00000 cents 5: 1 834.00000 cents 5: 1 872.00000 cents 5: 1 941.00000 cents 5: 1 983.00000 cents 6: 1 939.00000 cents 6: 1 951.00000 cents 6: 1 1014.00000 cents 6: 1 1065.00000 cents 6: 1 1083.00000 cents 6: 1 1088.00000 cents 6: 1 1102.00000 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 : 119.0 224.0 492.0 685.0 827.0 951.0 1207.0 119.0 : 105.0 373.0 566.0 708.0 832.0 1088.0 1207.0 224.0 : 268.0 461.0 603.0 727.0 983.0 1102.0 1207.0 492.0 : 193.0 335.0 459.0 715.0 834.0 939.0 1207.0 685.0 : 142.0 266.0 522.0 641.0 746.0 1014.0 1207.0 827.0 : 124.0 380.0 499.0 604.0 872.0 1065.0 1207.0 951.0 : 256.0 375.0 480.0 748.0 941.0 1083.0 1207.0 1207.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.0000 .. 268.0000 cents 163.00000 cents 105.00000 cents 2: 224.0000 .. 461.0000 cents 237.00000 cents -44.00000 cents 3: 459.0000 .. 603.0000 cents 144.00000 cents -2.00000 cents 4: 604.0000 .. 748.0000 cents 144.00000 cents 1.00000 cents 5: 746.0000 .. 983.0000 cents 237.00000 cents -2.00000 cents 6: 939.0000 .. 1102.0000 cents 163.00000 cents -44.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 105.00000 cents, class 1 Average step (divided formal octave): 172.4286 cents Largest one step interval : 268.00000 cents Average / Smallest step : 1.642177 Largest / Average step : 1.554267 Largest / Smallest step : 2.552381 Median interval of one step : 142.00000 cents, amount: 1 Least squares average step : 164.80714 cents, oct.: 1153.65000 cents Scale is not proper Scale is a mode of a 1207-tone equal temperament with octave 1207.000 cents degrees: 119 224 492 685 827 951 1207 Least number of segments generator : 604 of 604.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 967 of 967.000 cents and inv. generated superset size: 279 = 272 more = 3985.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BAGEDCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.00000 cents Scale diversity : 1.580636 Lumma stability : 0.174814 Lumma impropriety factor : 0.076222 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 711.5000 cents Number of appreciable fifths : 1, average 708.0000 cents Number of recognisable fourths : 3, average 490.3333 cents Number of appreciable fourths : 2, average 495.5000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 0 2 1 1 1 1 N T3 SD: 45.3479 c. M:-83.5714 c. 8: 1 0 2 1 1 1 2 N D3 SD: 55.9635 c. M: 81.5000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 26.7690 c. M:-44.4444 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 1 1 2 P D3 S SD: 18.7483 c. M:-39.2000 c. 13: 1 1 3 2 2 1 3 N SD: 26.0089 c. M: 38.3077 c. 14: 1 2 3 2 2 1 3 P T3 SD: 24.4325 c. M:-35.1429 c. 16: 2 1 4 2 2 2 3 N SD: 21.5403 c. M:-36.0625 c. 17: 2 1 4 3 2 1 4 N SD: 19.6723 c. M: 28.0000 c. 18: 2 1 4 3 2 2 4 N SD: 17.3936 c. M: 22.8333 c. 19: 2 2 4 3 2 2 4 P SD: 14.2880 c. M:-30.1053 c. 20: 2 2 4 3 3 2 4 P SD: 13.9958 c. M: 21.1500 c. 22: 2 2 5 3 3 2 5 N SD: 12.9350 c. M: 26.6364 c. 23: 2 2 5 4 3 2 5 N SD: 11.9059 c. M: 19.6957 c. 28: 3 2 6 5 3 3 6 N SD: 9.1684 c. M: 17.8214 c. 32: 3 3 7 5 4 3 7 N SD: 4.6507 c. M: 8.0312 c. 42: 4 4 9 7 5 4 9 N SD: 4.3654 c. M:-6.4048 c. 58: 6 5 13 9 7 6 12 N SD: 5.1508 c. M:-7.4483 c. 60: 6 5 13 10 7 6 13 N SD: 4.3314 c. M: 9.2000 c. 61: 6 5 14 10 7 6 13 N SD: 4.1789 c. M:-7.5410 c. 69: 7 6 15 11 8 7 15 N SD: 3.7867 c. M: 6.3913 c. 70: 7 6 16 11 8 7 15 N SD: 3.7272 c. M:-8.0429 c. 71: 7 6 16 11 9 7 15 N SD: 3.2071 c. M:-6.0000 c. 74: 7 7 16 12 9 7 16 N SD: 3.7347 c. M: 4.9730 c. 76: 7 7 17 12 9 8 16 N SD: 3.2394 c. M: 7.8289 c. 79: 8 7 17 13 9 8 17 N SD: 3.1840 c. M:-5.1772 c. 81: 8 7 18 13 9 9 17 N SD: 2.9992 c. M: 7.4321 c. 88: 9 7 20 14 10 9 19 N SD: 3.4169 c. M: 4.6023 c. 90: 9 8 20 14 11 9 19 N SD: 2.9073 c. M:-4.4889 c. 93: 9 8 21 15 11 9 20 N SD: 2.7149 c. M:-3.6237 c. 102: 10 9 23 16 12 10 22 N SD: 2.6315 c. M:-5.0000 c. 104: 10 9 23 17 12 11 22 N SD: 2.7012 c. M: 4.5577 c. 108: 11 9 24 17 13 11 23 N SD: 1.9843 c. M:-3.9352 c. 113: 11 10 25 18 13 12 24 N SD: 1.9039 c. M: 4.5310 c. 118: 12 10 26 19 14 12 25 N SD: 1.6333 c. M:-3.7458 c. 123: 12 11 27 20 14 13 26 N SD: 1.6026 c. M: 2.7073 c. 150: 15 13 33 24 18 15 32 N SD: 1.3357 c. M:-1.8067 c. 152: 15 13 34 24 18 16 32 N SD: 1.3189 c. M: 2.0921 c. 162: 16 14 36 26 19 17 34 N SD: 1.0508 c. M:-2.6790 c. 184: 18 16 41 29 22 19 39 N SD: 1.1820 c. M: 2.7826 c. 194: 19 17 43 31 23 20 41 N SD: 0.5741 c. M:-0.9124 c. 312: 31 27 69 50 37 32 66 N SD: 0.6288 c. M:-0.9263 c. 324: 32 28 72 52 38 33 69 N SD: 0.4850 c. M: 1.0463 c. 419: 41 37 93 67 49 43 89 N SD: 0.5598 c. M: 0.8926 c. 425: 42 37 94 68 50 44 90 N SD: 0.4563 c. M: 0.6800 c. 458: 45 40 102 73 54 47 97 N SD: 0.4245 c. M:-0.8144 c. 476: 47 41 106 76 56 49 101 N SD: 0.3851 c. M: 0.8571 c. 486: 48 42 108 78 57 50 103 N SD: 0.2904 c. M: 0.4815 c. 518: 51 45 115 83 61 53 110 N SD: 0.2327 c. M: 0.3456 c. 689: 68 60 153 110 81 71 146 N SD: 0.1749 c. M:-0.2598 c. 1013: 100 88 225 162 119 104 215 N SD: 0.1099 c. M: 0.1747 c. 1207: 119 105 268 193 142 124 256 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 7.0000 cents 2 x x x 3 x x 4 S SD: 9.1716 cents 3 x x 4 x 5 x 6 S SD: 19.3665 cents 4 x x 5:6 x 7:8 S SD: 27.1844 cents 5 x 6:7 x 8:9:10 S SD: 29.1561 cents 6 x 7:8:9:10 x 12 S SD: 14.8337 cents 7 x 8:9:10:11:12:14 S SD: 16.8310 cents 8 x 9:11:12:13:14:16 SD: 11.4981 cents 9 x 10:12:13:15:16:18 SD: 16.2274 cents 10:11 x 13:15:16:17:20 SD: 11.9082 cents 12:13:14:16:18:19:21:24 SD: 8.9219 cents 13:14:15:17:19:21:23:26 SD: 8.5774 cents 14:15:16:19:21:23:24:28 SD: 7.9621 cents 15:16:17:20:22:24:26:30 SD: 4.1712 cents 27:29:31:36:40:44:47:54 SD: 3.9739 cents 29:31:33:39:43:47:50:58 SD: 3.6449 cents 31:33:35:41:46:50:54:62 SD: 3.2626 cents 37:40:42:49:55:60:64:74 SD: 3.0736 cents 41:44:47:54:61:66:71:82 SD: 3.0683 cents 42:45:48:56:62:68:73:84 SD: 2.6351 cents 43:46:49:57:64:69:74:86 SD: 2.3933 cents 52:56:59:69:77:84:90:104 SD: 2.0736 cents 57:61:65:76:85:92:99:114 SD: 1.8714 cents 67:72:76:89:100:108:116:135 SD: 1.8603 cents 70:75:80:93:104:113:121:141 SD: 1.4051 cents 72:77:82:96:107:116:125:145 SD: 1.3483 cents 82:88:93:109:122:132:142:165 SD: 1.2482 cents 85:91:97:113:126:137:147:171 SD: 1.0405 cents 101:108:115:134:150:163:175:203 SD: 0.6611 cents 124:133:141:165:184:200:215:249 SD: 0.6542 cents 152:163:173:202:226:245:263:305 SD: 0.4982 cents 167:179:190:222:248:269:289:335 SD: 0.4761 cents 210:225:239:279:312:339:364:422 SD: 0.3980 cents 225:241:256:299:334:363:390:452 SD: 0.3100 cents 253:271:288:336:376:408:438:508 SD: 0.2234 cents 268:287:305:356:398:432:464:538 SD: 0.1767 cents 377:404:429:501:560:608:653:757 SD: 0.1374 cents 478:512:544:635:710:771:828:960 SD: 0.1122 cents