Scala analysis: Vietnam_Dan_Ca
Dan Ca (Dan Tranh), Vietnam
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 182.000 cents 182.000000 2: 281.000 cents 281.000000 3: 702.000 cents 702.000000 4: 883.000 cents 883.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 317.0000 cents 317.0000 1: 182.0000 cents 182.0000 2: 99.0000 cents 99.0000 3: 421.0000 cents 421.0000 4: 181.0000 cents 181.0000 5: 317.0000 cents 317.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 99.00000 cents 1: 1 181.00000 cents 1: 1 182.00000 cents 1: 1 317.00000 cents 1: 1 421.00000 cents 2: 1 281.00000 cents 2: 1 498.00000 cents 2: 1 499.00000 cents 2: 1 520.00000 cents 2: 1 602.00000 cents 3: 1 598.00000 cents 3: 1 680.00000 cents 3: 1 701.00000 cents 3: 1 702.00000 cents 3: 1 919.00000 cents 4: 1 779.00000 cents 4: 1 883.00000 cents 4: 1 1018.00000 cents 4: 1 1019.00000 cents 4: 1 1101.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 182.0 281.0 702.0 883.0 1200.0 182.0 : 99.0 520.0 701.0 1018.0 1200.0 281.0 : 421.0 602.0 919.0 1101.0 1200.0 702.0 : 181.0 498.0 680.0 779.0 1200.0 883.0 : 317.0 499.0 598.0 1019.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 99.0000 .. 421.0000 cents 322.00000 cents 99.00000 cents 2: 281.0000 .. 602.0000 cents 321.00000 cents -140.00000 cents 3: 598.0000 .. 919.0000 cents 321.00000 cents -4.00000 cents 4: 779.0000 .. 1101.0000 cents 322.00000 cents -140.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 99.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 421.00000 cents Average / Smallest step : 2.424242 Largest / Average step : 1.754167 Largest / Smallest step : 4.252525 Median interval of one step : 182.00000 cents, amount: 1 Least squares average step : 225.12727 cents, oct.: 1125.63636 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 182 281 702 883 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1187 of 1187.000 cents and inv. generated superset size: 264 = 259 more = 5280.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CAEBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.646133 Lumma stability : 0.165000 Lumma impropriety factor : 0.236667 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 2, average 701.5000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 0 2 1 1 N T3 SD: 47.5353 c. M:-77.0000 c. 7: 1 1 2 1 2 P M ME S SD: 31.2150 c. M:-61.8571 c. Thai mode 1 8: 1 1 3 1 2 N T3 SD: 28.2064 c. M:-48.0000 c. 12: 2 1 4 2 3 N SD: 13.9857 c. M:-19.0000 c. Dorian Pentatonic, Raga Sivaranjini (Shivranjani), Akebono I: Japan 19: 3 1 7 3 5 N SD: 13.5266 c. M: 28.3684 c. 22: 3 2 8 3 6 N SD: 10.5969 c. M: 18.3636 c. 26: 4 2 9 4 7 N SD: 5.5557 c. M: 9.6923 c. 34: 5 3 12 5 9 N SD: 3.0950 c. M: 5.5294 c. 46: 7 4 16 7 12 N SD: 3.3769 c. M:-5.9565 c. 60: 9 5 21 9 16 N SD: 1.8974 c. M: 3.0000 c. 72: 11 6 25 11 19 N SD: 1.5055 c. M:-2.3333 c. 99: 15 8 35 15 26 N SD: 1.3715 c. M: 2.2121 c. 106: 16 9 37 16 28 N SD: 0.9841 c. M:-2.0189 c. 132: 20 11 46 20 35 N SD: 1.1045 c. M: 2.0000 c. 133: 20 11 47 20 35 N SD: 1.3154 c. M:-1.7594 c. 140: 21 12 49 21 37 N SD: 1.2809 c. M: 2.0000 c. 159: 24 13 56 24 42 N SD: 0.8770 c. M: 1.7547 c. 166: 25 14 58 25 44 N SD: 0.9245 c. M: 1.2771 c. 171: 26 14 60 26 45 N SD: 0.6038 c. M:-1.2105 c. 205: 31 17 72 31 54 N SD: 0.5090 c. M:-0.9024 c. 231: 35 19 81 35 61 N SD: 0.3923 c. M: 0.7013 c. 311: 47 26 109 47 82 N SD: 0.5095 c. M:-0.6720 c. 337: 51 28 118 51 89 N SD: 0.3242 c. M: 0.5163 c. 436: 66 36 153 66 115 N SD: 0.3020 c. M:-0.4862 c. 496: 75 41 174 75 131 N SD: 0.3408 c. M: 0.5484 c. 508: 77 42 178 77 134 N SD: 0.2896 c. M:-0.4646 c. 533: 81 44 187 80 141 N SD: 0.3762 c. M: 0.4484 c. 542: 82 45 190 82 143 N SD: 0.2882 c. M: 0.4502 c. 614: 93 51 215 93 162 N SD: 0.3268 c. M:-0.4332 c. 632: 96 52 222 95 167 N SD: 0.2714 c. M:-0.5316 c. 658: 100 54 231 99 174 N SD: 0.2374 c. M:-0.3708 c. 667: 101 55 234 101 176 N SD: 0.3006 c. M:-0.3583 c. 692: 105 57 243 104 183 N SD: 0.2126 c. M: 0.3410 c. 704: 107 58 247 106 186 N SD: 0.2401 c. M:-0.3864 c. 764: 116 63 268 115 202 N SD: 0.1723 c. M: 0.2775 c. 863: 131 71 303 130 228 N SD: 0.1266 c. M:-0.2016 c. 935: 142 77 328 141 247 N SD: 0.1152 c. M:-0.2460 c. 969: 147 80 340 146 256 N SD: 0.0935 c. M:-0.1672 c. 1128: 171 93 396 170 298 N SD: 0.0961 c. M: 0.1489 c. 1140: 173 94 400 172 301 N SD: 0.0999 c. M:-0.1579 c. 1166: 177 96 409 176 308 N SD: 0.0902 c. M:-0.1612 c. 1200: 182 99 421 181 317 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.0225 cents 3 x x x 5:6 SD: 0.6794 cents 4 x 5:6:7:8 S SD: 33.9642 cents 5 x 6 x 8:10 S SD: 25.8294 cents 6 x 7:9:10:12 SD: 3.5486 cents 7:8 x 11:12:14 SD: 26.7044 cents 8:9 x 12:13:16 SD: 11.9477 cents 10:11:12:15:17:20 SD: 10.5056 cents 12:13:14:18:20:24 SD: 9.1376 cents 14:16 x 21:23:28 SD: 13.6308 cents 15:17:18:23:25:30 SD: 12.4088 cents 16:18:19:24:27:32 SD: 7.1429 cents 18:20:21:27:30:36 SD: 2.8400 cents 44:49:52:66:73:88 SD: 2.2698 cents 46:51:54:69:77:92 SD: 2.0160 cents 56:62:66:84:93:112 SD: 1.6588 cents 62:69:73:93:103:124 SD: 1.1174 cents 74:82:87:111:123:148 SD: 1.0965 cents 80:89:94:120:133:160 SD: 0.8649 cents 90:100:106:135:150:180 SD: 0.5372 cents 108:120:127:162:180:216 SD: 0.2972 cents 260:289:306:390:433:520 SD: 0.2963 cents 272:302:320:408:453:544 SD: 0.1891 cents 352:391:414:528:586:704 SD: 0.1264 cents 442:491:520:663:736:884 SD: 0.0835 cents 460:511:541:690:766:920 SD: 0.0518 cents 550:611:647:825:916:1100 SD: 0.0490 cents