Scala analysis: Indonesia_Konservatori_Karawitan_Gamelan_II_a
Konservatori Karawitan Gamelan II (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: 112.000 cents 112.000000 2: 248.000 cents 248.000000 3: 518.000 cents 518.000000 4: 639.000 cents 639.000000 5: 725.000 cents 725.000000 6: 957.000 cents 957.000000 7: 1191.000 cents 1191.000000
SHOW/INTERVAL
0: 234.0000 cents 234.0000 1: 112.0000 cents 112.0000 2: 136.0000 cents 136.0000 3: 270.0000 cents 270.0000 4: 121.0000 cents 121.0000 5: 86.0000 cents 86.0000 6: 232.0000 cents 232.0000 7: 234.0000 cents 234.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 86.00000 cents 1: 1 112.00000 cents 1: 1 121.00000 cents 1: 1 136.00000 cents 1: 1 232.00000 cents 1: 1 234.00000 cents 1: 1 270.00000 cents 2: 1 207.00000 cents 2: 1 248.00000 cents 2: 1 318.00000 cents 2: 1 346.00000 cents 2: 1 391.00000 cents 2: 1 406.00000 cents 2: 1 466.00000 cents 3: 1 439.00000 cents 3: 1 477.00000 cents 3: 1 482.00000 cents 3: 1 518.00000 cents 3: 1 527.00000 cents 3: 1 552.00000 cents 3: 1 578.00000 cents 4: 1 613.00000 cents 4: 1 639.00000 cents 4: 1 664.00000 cents 4: 1 673.00000 cents 4: 1 709.00000 cents 4: 1 714.00000 cents 4: 1 752.00000 cents 5: 1 725.00000 cents 5: 1 785.00000 cents 5: 1 800.00000 cents 5: 1 845.00000 cents 5: 1 873.00000 cents 5: 1 943.00000 cents 5: 1 984.00000 cents 6: 1 921.00000 cents 6: 1 957.00000 cents 6: 1 959.00000 cents 6: 1 1055.00000 cents 6: 1 1070.00000 cents 6: 1 1079.00000 cents 6: 1 1105.00000 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 : 112.0 248.0 518.0 639.0 725.0 957.0 1191.0 112.0 : 136.0 406.0 527.0 613.0 845.0 1079.0 1191.0 248.0 : 270.0 391.0 477.0 709.0 943.0 1055.0 1191.0 518.0 : 121.0 207.0 439.0 673.0 785.0 921.0 1191.0 639.0 : 86.0 318.0 552.0 664.0 800.0 1070.0 1191.0 725.0 : 232.0 466.0 578.0 714.0 984.0 1105.0 1191.0 957.0 : 234.0 346.0 482.0 752.0 873.0 959.0 1191.0 1191.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 86.0000 .. 270.0000 cents 184.00000 cents 86.00000 cents 2: 207.0000 .. 466.0000 cents 259.00000 cents -63.00000 cents 3: 439.0000 .. 578.0000 cents 139.00000 cents -27.00000 cents 4: 613.0000 .. 752.0000 cents 139.00000 cents 35.00000 cents 5: 725.0000 .. 984.0000 cents 259.00000 cents -27.00000 cents 6: 921.0000 .. 1105.0000 cents 184.00000 cents -63.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 86.00000 cents, class 1 Average step (divided formal octave): 170.1429 cents Largest one step interval : 270.00000 cents Average / Smallest step : 1.978405 Largest / Average step : 1.586902 Largest / Smallest step : 3.139535 Median interval of one step : 136.00000 cents, amount: 1 Least squares average step : 160.15714 cents, oct.: 1121.10000 cents Scale is not proper Scale is a mode of a 1191-tone equal temperament with octave 1191.000 cents degrees: 112 248 518 639 725 957 1191 Least number of segments generator : 596 of 596.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 970 of 970.000 cents and inv. generated superset size: 306 = 299 more = 4371.429% 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 a Constant Structure, by a margin of 11.00000 cents Scale diversity : 1.727606 Lumma stability : 0.173804 Lumma impropriety factor : 0.151134 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 : 2, average 711.5000 cents Number of recognisable fourths : 1, average 482.0000 cents Number of appreciable fourths : 0 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: 83.2073 c. M: 128.5714 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 46.6919 c. M: 71.3750 c. 9: 1 1 2 1 0 2 2 N SD: 29.9643 c. M: 63.3333 c. 10: 1 1 2 1 1 2 2 P D3 S SD: 23.5889 c. M: 43.5000 c. 11: 1 1 3 1 1 2 2 N D3 S SD: 20.8736 c. M:-32.9091 c. 15: 1 2 3 2 1 3 3 P S SD: 20.8038 c. M: 41.6000 c. 18: 2 2 4 2 1 4 3 N SD: 19.2789 c. M:-35.5000 c. 19: 2 2 4 2 2 3 4 P SD: 15.2488 c. M:-27.2105 c. 20: 2 2 5 2 1 4 4 N SD: 11.0328 c. M:-17.9500 c. 25: 2 3 6 2 2 5 5 N SD: 11.4965 c. M: 19.6800 c. 28: 3 3 6 3 2 5 6 N SD: 10.7405 c. M: 21.2143 c. 30: 3 3 7 3 2 6 6 N SD: 6.4398 c. M: 10.4000 c. 39: 4 4 9 4 3 7 8 N SD: 6.4632 c. M: 10.3077 c. 41: 4 5 9 4 3 8 8 N SD: 5.6831 c. M:-13.4390 c. 51: 5 6 11 5 4 10 10 N SD: 5.2458 c. M:-8.8824 c. 52: 5 6 12 5 4 10 10 N SD: 5.2351 c. M:-8.7885 c. 56: 5 7 12 6 4 11 11 N SD: 4.5659 c. M: 7.5714 c. 62: 6 7 14 6 5 12 12 N SD: 3.3093 c. M: 5.0806 c. 67: 6 8 15 7 5 13 13 N SD: 2.9147 c. M: 5.3433 c. 76: 7 9 17 8 5 15 15 N SD: 2.5092 c. M: 4.1316 c. 82: 8 9 19 8 6 16 16 N SD: 2.5817 c. M:-4.8780 c. 87: 8 10 20 9 6 17 17 N SD: 2.2349 c. M:-4.4138 c. 97: 9 11 22 10 7 19 19 N SD: 1.4443 c. M: 2.4330 c. 138: 13 16 31 14 10 27 27 N SD: 0.9531 c. M:-2.2826 c. 158: 15 18 36 16 11 31 31 N SD: 1.2610 c. M:-2.1203 c. 168: 16 19 38 17 12 33 33 N SD: 0.9859 c. M: 1.8929 c. 179: 17 20 41 18 13 35 35 N SD: 0.9917 c. M: 1.8156 c. 220: 21 25 50 22 16 43 43 N SD: 1.1027 c. M:-1.7091 c. 225: 21 26 51 23 16 44 44 N SD: 0.8736 c. M:-1.4933 c. 235: 22 27 53 24 17 46 46 N SD: 0.5952 c. M: 1.0553 c. 274: 26 31 62 28 20 53 54 N SD: 0.6514 c. M:-1.0146 c. 317: 30 36 72 32 23 62 62 N SD: 0.5296 c. M:-1.0599 c. 350: 33 40 79 36 25 68 69 N SD: 0.5419 c. M: 0.7971 c. 393: 37 45 89 40 28 77 77 N SD: 0.4520 c. M: 0.7023 c. 427: 40 49 97 43 31 83 84 N SD: 0.3920 c. M:-0.7963 c. 457: 43 52 104 46 33 89 90 N SD: 0.4411 c. M:-0.6193 c. 490: 46 56 111 50 35 96 96 N SD: 0.3928 c. M: 0.6776 c. 499: 47 57 113 51 36 97 98 N SD: 0.3508 c. M:-0.6553 c. 524: 49 60 119 53 38 102 103 N SD: 0.2980 c. M: 0.6279 c. 529: 50 60 120 54 38 103 104 N SD: 0.3071 c. M:-0.5709 c. 595: 56 68 135 60 43 116 117 N SD: 0.3045 c. M: 0.4639 c. 596: 56 68 135 61 43 116 117 N SD: 0.3040 c. M:-0.4631 c. 662: 62 76 150 67 48 129 130 N SD: 0.2454 c. M: 0.4562 c. 667: 63 76 151 68 48 130 131 N SD: 0.2341 c. M:-0.4933 c. 692: 65 79 157 70 50 135 136 N SD: 0.2529 c. M: 0.4725 c. 734: 69 84 166 75 53 143 144 N SD: 0.2746 c. M: 0.3856 c. 764: 72 87 173 78 55 149 150 N SD: 0.2191 c. M: 0.4450 c. 798: 75 91 181 81 58 155 157 N SD: 0.2226 c. M:-0.3459 c. 841: 79 96 191 85 61 164 165 N SD: 0.2255 c. M:-0.3317 c. 874: 82 100 198 89 63 170 172 N SD: 0.1921 c. M: 0.3844 c. 917: 86 105 208 93 66 179 180 N SD: 0.1946 c. M: 0.3032 c. 936: 88 107 212 95 68 182 184 N SD: 0.1631 c. M:-0.2885 c. 956: 90 109 217 97 69 186 188 N SD: 0.1463 c. M:-0.2594 c. 1053: 99 120 239 107 76 205 207 N SD: 0.1249 c. M: 0.2991 c. 1094: 103 125 248 111 79 213 215 N SD: 0.1281 c. M:-0.2157 c. 1191: 112 136 270 121 86 232 234 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 x 3 x 4 S SD: 12.3700 cents 3 x x 4 x x 5:6 S SD: 25.2893 cents 4 x x 5 x 6:7:8 S SD: 33.6277 cents 5 x 6 x 7:8:9:10 S SD: 27.8456 cents 6 x 7:8 x 9:10:12 S SD: 16.3011 cents 7 x 8:9:10:11:12:14 S SD: 17.9328 cents 8 x 9:11 x 12:14:16 SD: 12.3385 cents 9 x 10:12:13:14:16:18 S SD: 14.8221 cents 11:12:13:15:16:17:19:22 SD: 9.7539 cents 12:13:14:16:17:18:21:24 S SD: 8.4616 cents 14:15:16:19:20:21:24:28 SD: 6.5425 cents 18:19:21:24:26:27:31:36 SD: 6.3286 cents 20:21:23:27:29:30:35:40 SD: 5.6551 cents 25:27:29:34:36:38:43:50 SD: 4.9589 cents 26:28:30:35:38:40:45:52 SD: 4.8803 cents 27:29:31:36:39:41:47:54 SD: 3.8072 cents 31:33:36:42:45:47:54:62 SD: 2.6606 cents 45:48:52:61:65:68:78:90 SD: 2.4536 cents 46:49:53:62:67:70:80:92 SD: 2.2426 cents 58:62:67:78:84:88:101:115 SD: 1.4498 cents 72:77:83:97:104:109:125:143 SD: 1.3898 cents 77:82:89:104:111:117:134:153 SD: 1.1710 cents 89:95:103:120:129:135:155:177 SD: 1.1490 cents 91:97:105:123:132:138:158:181 SD: 1.1104 cents 92:98:106:124:133:140:160:183 SD: 0.6656 cents 123:131:142:166:178:187:214:245 SD: 0.5999 cents 163:174:188:220:236:248:283:324 SD: 0.5533 cents 175:187:202:236:253:266:304:348 SD: 0.4668 cents 181:193:209:244:262:275:315:360 SD: 0.4611 cents 195:208:225:263:282:296:339:388 SD: 0.3621 cents 267:285:308:360:386:406:464:531 SD: 0.2669 cents 298:318:344:402:431:453:518:593 SD: 0.1164 cents 390:416:450:526:564:593:678:776 SD: 0.1134 cents