Scala analysis: Indonesia_Landung_a
Landung (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: 103.000 cents 103.000000 2: 247.000 cents 247.000000 3: 526.000 cents 526.000000 4: 676.000 cents 676.000000 5: 788.000 cents 788.000000 6: 949.000 cents 949.000000 7: 1229.000 cents 1229.000000
SHOW/INTERVAL
0: 280.0000 cents 280.0000 1: 103.0000 cents 103.0000 2: 144.0000 cents 144.0000 3: 279.0000 cents 279.0000 4: 150.0000 cents 150.0000 5: 112.0000 cents 112.0000 6: 161.0000 cents 161.0000 7: 280.0000 cents 280.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 103.00000 cents 1: 1 112.00000 cents 1: 1 144.00000 cents 1: 1 150.00000 cents 1: 1 161.00000 cents 1: 1 279.00000 cents 1: 1 280.00000 cents 2: 1 247.00000 cents 2: 1 262.00000 cents 2: 1 273.00000 cents 2: 1 383.00000 cents 2: 1 423.00000 cents 2: 1 429.00000 cents 2: 1 441.00000 cents 3: 1 423.00000 cents 3: 1 526.00000 cents 3: 1 527.00000 cents 3: 1 541.00000 cents 3: 1 544.00000 cents 3: 1 553.00000 cents 3: 1 573.00000 cents 4: 1 656.00000 cents 4: 1 676.00000 cents 4: 1 685.00000 cents 4: 1 688.00000 cents 4: 1 702.00000 cents 4: 1 703.00000 cents 4: 1 806.00000 cents 5: 1 788.00000 cents 5: 1 800.00000 cents 5: 1 806.00000 cents 5: 1 846.00000 cents 5: 1 956.00000 cents 5: 1 967.00000 cents 5: 1 982.00000 cents 6: 1 949.00000 cents 6: 1 950.00000 cents 6: 1 1068.00000 cents 6: 1 1079.00000 cents 6: 1 1085.00000 cents 6: 1 1117.00000 cents 6: 1 1126.00000 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 : 103.0 247.0 526.0 676.0 788.0 949.0 1229.0 103.0 : 144.0 423.0 573.0 685.0 846.0 1126.0 1229.0 247.0 : 279.0 429.0 541.0 702.0 982.0 1085.0 1229.0 526.0 : 150.0 262.0 423.0 703.0 806.0 950.0 1229.0 676.0 : 112.0 273.0 553.0 656.0 800.0 1079.0 1229.0 788.0 : 161.0 441.0 544.0 688.0 967.0 1117.0 1229.0 949.0 : 280.0 383.0 527.0 806.0 956.0 1068.0 1229.0 1229.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 103.0000 .. 280.0000 cents 177.00000 cents 103.00000 cents 2: 247.0000 .. 441.0000 cents 194.00000 cents -33.00000 cents 3: 423.0000 .. 573.0000 cents 150.00000 cents -18.00000 cents 4: 656.0000 .. 806.0000 cents 150.00000 cents 83.00000 cents 5: 788.0000 .. 982.0000 cents 194.00000 cents -18.00000 cents 6: 949.0000 .. 1126.0000 cents 177.00000 cents -33.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 103.00000 cents, class 1 Average step (divided formal octave): 175.5714 cents Largest one step interval : 280.00000 cents Average / Smallest step : 1.704577 Largest / Average step : 1.594793 Largest / Smallest step : 2.718447 Median interval of one step : 150.00000 cents, amount: 1 Least squares average step : 165.11429 cents, oct.: 1155.80000 cents Scale is not proper Scale is a mode of a 1229-tone equal temperament with octave 1229.000 cents degrees: 103 247 526 676 788 949 1229 Least number of segments generator : 615 of 615.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 956 of 956.000 cents and inv. generated superset size: 303 = 296 more = 4328.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : ACFDBEG Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.428166 Lumma stability : 0.235151 Lumma impropriety factor : 0.082994 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 : 1.00000 cents Most common intervals : 423.00000 cents & inv., amount: 2 Number of recognisable fifths : 3, average 697.6667 cents Number of appreciable fifths : 2, average 702.5000 cents Number of recognisable fourths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 1 2 1 0 1 2 N T3 SD: 64.1547 c. M: 103.0000 c. 8: 0 1 2 1 1 1 2 N D3 SD: 63.7954 c. M: 103.0000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 21.6857 c. M:-33.5556 c. Pseudo Pelog, Pelogic-7, Antiionian 14: 1 2 3 2 1 2 3 P T3 SD: 14.5000 c. M:-26.2857 c. Superpelog-Pelog 22: 2 2 5 3 2 3 5 N S SD: 13.2945 c. M: 23.5455 c. 23: 2 3 5 3 2 3 5 P T3 SD: 13.0214 c. M:-20.1739 c. Superpelog-Pelog 25: 2 3 6 3 2 3 6 N T3 SD: 9.3876 c. M: 14.9600 c. 31: 3 3 7 4 3 4 7 N S SD: 8.3174 c. M:-15.9355 c. 35: 3 4 8 4 3 5 8 N SD: 6.8246 c. M: 15.4857 c. 36: 3 4 8 5 3 5 8 N SD: 7.1686 c. M: 13.9167 c. 40: 3 5 9 5 4 5 9 N SD: 6.1170 c. M:-10.8500 c. 44: 4 5 10 5 4 6 10 N SD: 5.1366 c. M:-8.7273 c. 45: 4 5 10 6 4 6 10 N SD: 5.3487 c. M: 7.0889 c. 49: 4 6 11 6 4 7 11 N SD: 4.6307 c. M: 10.4694 c. 56: 5 6 13 7 5 7 13 N SD: 4.2815 c. M:-6.7321 c. 58: 5 7 13 7 5 8 13 N SD: 4.0766 c. M:-7.2759 c. 70: 6 8 16 9 6 9 16 N SD: 3.5608 c. M:-8.7286 c. 73: 6 9 16 9 7 9 17 N SD: 3.9135 c. M: 6.2055 c. 75: 6 9 17 9 7 10 17 N SD: 2.5992 c. M: 4.6800 c. 80: 7 9 18 10 7 11 18 N SD: 3.1162 c. M:-4.5375 c. 84: 7 10 19 10 8 11 19 N SD: 1.7331 c. M: 2.9762 c. 131: 11 15 30 16 12 17 30 N SD: 1.3241 c. M: 3.0763 c. 133: 11 16 30 16 12 18 30 N SD: 1.8850 c. M:-2.7820 c. 140: 12 16 32 17 13 18 32 N SD: 1.3400 c. M:-2.3429 c. 145: 12 17 33 18 13 19 33 N SD: 1.0545 c. M:-2.0690 c. 189: 16 22 43 23 17 25 43 N SD: 0.6786 c. M: 1.1799 c. 229: 19 27 52 28 21 30 52 N SD: 0.6363 c. M: 1.0306 c. 264: 22 31 60 32 24 35 60 N SD: 0.6984 c. M: 1.2538 c. 273: 23 32 62 33 25 36 62 N SD: 0.5987 c. M:-0.8864 c. 334: 28 39 76 41 30 44 76 N SD: 0.5061 c. M:-1.0539 c. 404: 34 47 92 49 37 53 92 N SD: 0.3917 c. M: 0.6584 c. 418: 35 49 95 51 38 55 95 N SD: 0.2979 c. M:-0.6818 c. 549: 46 64 125 67 50 72 125 N SD: 0.2942 c. M: 0.7523 c. 558: 47 65 127 68 51 73 127 N SD: 0.3558 c. M:-0.5179 c. 596: 50 70 135 73 54 78 136 N SD: 0.3049 c. M:-0.4497 c. 633: 53 74 144 77 58 83 144 N SD: 0.2871 c. M: 0.4234 c. 671: 56 79 152 82 61 88 153 N SD: 0.2959 c. M: 0.4307 c. 680: 57 80 154 83 62 89 155 N SD: 0.2375 c. M:-0.6074 c. 811: 68 95 184 99 74 106 185 N SD: 0.1535 c. M: 0.3514 c. 825: 69 97 187 101 75 108 188 N SD: 0.1918 c. M:-0.3224 c. 895: 75 105 203 109 82 117 204 N SD: 0.1889 c. M: 0.3933 c. 956: 80 112 217 117 87 125 218 N SD: 0.1710 c. M: 0.2531 c. 1000: 84 117 227 122 91 131 228 N SD: 0.1457 c. M:-0.2360 c. 1040: 87 122 236 127 95 136 237 N SD: 0.1233 c. M:-0.2144 c. 1229: 103 144 279 150 112 161 280 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 29.0000 cents 2 x x x 3 x x 4 S SD: 19.4593 cents 3 x x 4 x x 5:6 S SD: 25.3881 cents 4 x 5 x 6 x 7:8 S SD: 36.5000 cents 5 x 6:7 x 8:9:10 S SD: 23.7584 cents 6 x 7:8:9 x 10:12 S SD: 16.5765 cents 7 x 8:9:10:11:12:14 S SD: 19.0490 cents 8 x 9:11:12:13:14:16 SD: 14.1074 cents 9 x 10:12:13:14:16:18 S SD: 16.7469 cents 11:12:13:15:16:17:19:22 SD: 11.9068 cents 12:13:14:16:18:19:21:24 SD: 9.4832 cents 14:15:16:19:21:22:24:28 SD: 6.8882 cents 19:20:22:26:28:30:33:39 SD: 4.2081 cents 31:33:36:42:46:49:54:63 SD: 2.7988 cents 33:35:38:45:49:52:57:67 SD: 2.1008 cents 52:55:60:70:77:82:90:106 SD: 1.9932 cents 59:63:68:80:87:93:102:120 SD: 1.6242 cents 65:69:75:88:96:102:112:132 SD: 1.5813 cents 67:71:77:91:99:106:116:136 SD: 1.5148 cents 78:83:90:106:115:123:135:159 SD: 1.2646 cents 84:89:97:114:124:132:145:171 SD: 1.2064 cents 85:90:98:115:126:134:147:173 SD: 1.0682 cents 96:102:111:130:142:151:166:195 SD: 0.9838 cents 99:105:114:134:146:156:171:201 SD: 0.9218 cents 111:118:128:150:164:175:192:226 SD: 0.8386 cents 118:125:136:160:174:186:204:240 SD: 0.7573 cents 130:138:150:176:192:205:225:264 SD: 0.4775 cents 144:153:166:195:213:227:249:293 SD: 0.4586 cents 149:158:172:202:220:235:258:303 SD: 0.4499 cents 163:173:188:221:241:257:282:332 SD: 0.4217 cents 234:248:270:317:346:369:405:476 SD: 0.4199 cents 241:256:278:327:356:380:417:490 SD: 0.4170 cents 248:263:286:336:366:391:429:504 SD: 0.4160 cents 259:275:299:351:383:408:448:527 SD: 0.3862 cents 260:276:300:352:384:410:450:529 SD: 0.3219 cents 262:278:302:355:387:413:453:533 SD: 0.2492 cents 293:311:338:397:433:462:507:596 SD: 0.1046 cents 555:589:640:752:820:875:960:1129 SD: 0.0958 cents