Scala analysis: Vietnam_Vong_Co
Vong Co (Dan Tranh), Vietnam
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 375.000 cents 375.000000 2: 519.000 cents 519.000000 3: 704.000 cents 704.000000 4: 866.000 cents 866.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 334.0000 cents 334.0000 1: 375.0000 cents 375.0000 2: 144.0000 cents 144.0000 3: 185.0000 cents 185.0000 4: 162.0000 cents 162.0000 5: 334.0000 cents 334.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 144.00000 cents 1: 1 162.00000 cents 1: 1 185.00000 cents 1: 1 334.00000 cents 1: 1 375.00000 cents 2: 1 329.00000 cents 2: 1 347.00000 cents 2: 1 496.00000 cents 2: 1 519.00000 cents 2: 1 709.00000 cents 3: 1 491.00000 cents 3: 1 681.00000 cents 3: 1 704.00000 cents 3: 1 853.00000 cents 3: 1 871.00000 cents 4: 1 825.00000 cents 4: 1 866.00000 cents 4: 1 1015.00000 cents 4: 1 1038.00000 cents 4: 1 1056.00000 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 : 375.0 519.0 704.0 866.0 1200.0 375.0 : 144.0 329.0 491.0 825.0 1200.0 519.0 : 185.0 347.0 681.0 1056.0 1200.0 704.0 : 162.0 496.0 871.0 1015.0 1200.0 866.0 : 334.0 709.0 853.0 1038.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 144.0000 .. 375.0000 cents 231.00000 cents 144.00000 cents 2: 329.0000 .. 709.0000 cents 380.00000 cents -46.00000 cents 3: 491.0000 .. 871.0000 cents 380.00000 cents -218.00000 cents 4: 825.0000 .. 1056.0000 cents 231.00000 cents -46.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 144.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 375.00000 cents Average / Smallest step : 1.666667 Largest / Average step : 1.562500 Largest / Smallest step : 2.604167 Median interval of one step : 185.00000 cents, amount: 1 Least squares average step : 236.16364 cents, oct.: 1180.81818 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 375 519 704 866 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 997 of 997.000 cents and inv. generated superset size: 98 = 93 more = 1960.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EACBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.444331 Lumma stability : 0.240000 Lumma impropriety factor : 0.258333 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 : 5.00000 cents Number of recognisable fifths : 2, average 706.5000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 2 0 1 1 1 N T3 SD: 65.7845 c. M:-105.0000 c. 7: 2 1 1 1 2 N D3 I SD: 17.1360 c. M: 32.1429 c. 17: 5 2 3 2 5 N G T3 I SD: 17.1350 c. M: 24.8824 c. 19: 6 2 3 3 5 N SD: 11.1509 c. M:-18.2105 c. 22: 7 3 3 3 6 N SD: 12.7867 c. M:-26.4545 c. 25: 8 3 4 3 7 N SD: 9.1869 c. M:-16.0000 c. 26: 8 3 4 4 7 N SD: 9.1342 c. M: 11.6923 c. 29: 9 4 4 4 8 N SD: 8.6507 c. M:-18.9310 c. 32: 10 4 5 4 9 N SD: 4.9092 c. M:-8.5000 c. 39: 12 5 6 5 11 N SD: 4.0852 c. M: 5.7692 c. 44: 14 5 7 6 12 N SD: 4.8648 c. M:-6.8182 c. 51: 16 6 8 7 14 N SD: 2.3912 c. M:-4.5882 c. 58: 18 7 9 8 16 N SD: 1.9432 c. M:-2.9655 c. 83: 26 10 13 11 23 N SD: 2.2285 c. M:-4.4337 c. 90: 28 11 14 12 25 N SD: 1.5055 c. M:-2.6667 c. 118: 37 14 18 16 33 N SD: 1.3852 c. M: 2.3051 c. 148: 46 18 23 20 41 N SD: 1.3075 c. M: 2.0270 c. 150: 47 18 23 20 42 N SD: 1.0954 c. M: 2.0000 c. 157: 49 19 24 21 44 N SD: 1.1632 c. M: 2.3057 c. 169: 53 20 26 23 47 N SD: 0.8201 c. M:-1.3314 c. 176: 55 21 27 24 49 N SD: 0.8557 c. M: 1.7273 c. 201: 63 24 31 27 56 N SD: 0.5918 c. M:-1.1194 c. 208: 65 25 32 28 58 N SD: 0.3019 c. M: 0.6154 c. 259: 81 31 40 35 72 N SD: 0.2526 c. M:-0.4093 c. 467: 146 56 72 63 130 N SD: 0.0849 c. M:-0.1606 c. 733: 229 88 113 99 204 N SD: 0.0541 c. M: 0.1023 c. 1200: 375 144 185 162 334 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: 1.0225 cents 3 x 4 x 5:6 S SD: 9.2865 cents 4:5 x 6:7:8 S SD: 25.8667 cents 5:6:7 x 8:10 S SD: 25.3648 cents 6:7:8:9:10:12 S SD: 22.3358 cents 7:9 x 11:12:14 SD: 29.8720 cents 8:10:11:12:13:16 SD: 8.5451 cents 12:15:16:18:20:24 S SD: 6.0277 cents 20:25:27:30:33:40 SD: 2.3100 cents 34:42:46:51:56:68 SD: 2.1123 cents 46:57:62:69:76:92 SD: 1.1691 cents 54:67:73:81:89:108 SD: 0.8033 cents 66:82:89:99:109:132 SD: 0.7277 cents 100:124:135:150:165:200 SD: 0.6964 cents 120:149:162:180:198:240 SD: 0.4681 cents 157:195:212:236:259:314 SD: 0.4011 cents 203:252:274:305:335:406 SD: 0.3235 cents 223:277:301:335:368:446 SD: 0.2798 cents 277:344:374:416:457:554 SD: 0.2198 cents 438:544:591:658:722:876 SD: 0.2014 cents 484:601:653:727:798:968 SD: 0.1441 cents 504:626:680:757:831:1008 SD: 0.1332 cents 538:668:726:808:887:1076 SD: 0.1091 cents 558:693:753:838:920:1116 SD: 0.0798 cents