Scala analysis: Papua_New_Guinea_Phon_12
Phon 12 (Flute), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 894.000 cents 894.000000 2: 1480.000 cents 1480.000000 3: 1930.000 cents 1930.000000
SHOW/INTERVAL
0: 450.0000 cents 450.0000 1: 894.0000 cents 894.0000 2: 586.0000 cents 586.0000 3: 450.0000 cents 450.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 450.00000 cents 1: 1 586.00000 cents 1: 1 894.00000 cents 2: 1 1036.00000 cents 2: 1 1344.00000 cents 2: 1 1480.00000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 894.0 1480.0 1930.0 894.0 : 586.0 1036.0 1930.0 1480.0: 450.0 1344.0 1930.0 1930.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 450.0000 .. 894.0000 cents 444.00000 cents 450.00000 cents 2: 1036.0000 .. 1480.0000 cents 444.00000 cents 142.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 450.00000 cents, class 1 Average step (divided formal octave): 643.3333 cents Largest one step interval : 894.00000 cents Average / Smallest step : 1.429630 Largest / Average step : 1.389637 Largest / Smallest step : 1.986667 Median interval of one step : 586.00000 cents, amount: 1 Least squares average step : 688.85714 cents, oct.: 2066.57143 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 965-tone equal temperament with octave 1930.000 cents degrees: 447 740 965 Least number of segments generator : 483 of 966.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 891 of 1782.000 cents and inv. generated superset size: 18 = 15 more = 600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : LMS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 142.00000 cents Scale diversity : 0.170971 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.539896 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 136.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Steps are strictly decreasing Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 182.7672 c. M: 250.6667 c. 4: 2 1 1 P M ME S SD: 45.0823 c. M:-71.0000 c. 9: 4 3 2 SP T3 SD: 24.2056 c. M: 36.2222 c. 13: 6 4 3 SP T3 SD: 3.2527 c. M:-4.6154 c. 43: 20 13 10 SP T3 SD: 2.2251 c. M:-3.6744 c. 56: 26 17 13 SP T3 SD: 1.6482 c. M:-2.0714 c. 69: 32 21 16 SP T3 SD: 1.5514 c. M:-2.4638 c. 125: 58 38 29 SP T3 SD: 1.5629 c. M:-2.2400 c. 175: 81 53 41 SP T3 SD: 1.3147 c. M: 2.1714 c. 188: 87 57 44 SP T3 SD: 1.1015 c. M: 1.7021 c. 201: 93 61 47 SP T3 SD: 0.9493 c. M: 1.2935 c. 214: 99 65 50 SP T3 SD: 0.8553 c. M: 1.1495 c. 227: 105 69 53 SP T3 SD: 0.8145 c. M: 1.2687 c. 231: 107 70 54 SP T3 SD: 0.6749 c. M: 1.1688 c. 244: 113 74 57 SP T3 SD: 0.5087 c. M: 0.8607 c. 257: 119 78 60 SP T3 SD: 0.3907 c. M: 0.5837 c. 270: 125 82 63 SP T3 SD: 0.3381 c. M: 0.4815 c. 300: 139 91 70 SP T3 SD: 0.2349 c. M: 0.3333 c. 313: 145 95 73 SP T3 SD: 0.0901 c. M: 0.1278 c. 326: 151 99 76 SP T3 SD: 0.0432 c. M:-0.0613 c. 639: 296 194 149 SP T3 SD: 0.0221 c. M: 0.0313 c. 965: 447 293 225 SP T3 SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x 2:3 S SD: 140.7005 cents 2:3:5:6 SD: 73.7642 cents 3:5:7:9 SD: 10.8107 cents 12:20:28:37 SD: 8.4411 cents 15:25:35:46 SD: 6.3722 cents 18:30:42:55 SD: 5.5695 cents 19:32:45:58 SD: 5.1408 cents 22:37:52:67 SD: 3.7294 cents 25:42:59:76 SD: 3.0954 cents 28:47:66:85 SD: 3.0563 cents 34:57:80:104 SD: 1.9194 cents 37:62:87:113 SD: 0.9645 cents 40:67:94:122 SD: 0.4703 cents 105:176:247:320 SD: 0.4156 cents 142:238:334:433 SD: 0.2575 cents 145:243:341:442 SD: 0.2092 cents 182:305:428:555 SD: 0.1689 cents 185:310:435:564 SD: 0.1370 cents 367:615:863:1119 SD: 0.1260 cents 407:682:957:1241 SD: 0.1236 cents 552:925:1298:1683 SD: 0.1231 cents 590:989:1387:1799 SD: 0.1227 cents 592:992:1392:1805 SD: 0.1204 cents 593:994:1394:1808 SD: 0.1202 cents