Scala analysis: Papua_New_Guinea_Phon_14
Phon 14 (Flute), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 134.000 cents 134.000000 2: 924.000 cents 924.000000 3: 992.000 cents 992.000000
SHOW/INTERVAL
0: 68.0000 cents 68.0000 1: 134.0000 cents 134.0000 2: 790.0000 cents 790.0000 3: 68.0000 cents 68.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 68.00000 cents 1: 1 134.00000 cents 1: 1 790.00000 cents 2: 1 202.00000 cents 2: 1 858.00000 cents 2: 1 924.00000 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 : 134.0 924.0 992.0 134.0: 790.0 858.0 992.0 924.0: 68.0 202.0 992.0 992.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.0000 .. 790.0000 cents 722.00000 cents 68.00000 cents 2: 202.0000 .. 924.0000 cents 722.00000 cents -588.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 68.00000 cents, class 1 Average step (divided formal octave): 330.6667 cents Largest one step interval : 790.00000 cents Average / Smallest step : 4.862745 Largest / Average step : 2.389113 Largest / Smallest step : 11.617647 Median interval of one step : 134.00000 cents, amount: 1 Least squares average step : 354.14286 cents, oct.: 1062.42857 cents Scale is not proper Scale has trivalence property Scale is a mode of a 496-tone equal temperament with octave 992.000 cents degrees: 67 462 496 Least number of segments generator : 249 of 498.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 269 of 538.000 cents and inv. generated superset size: 23 = 20 more = 766.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : MLS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 68.00000 cents Scale diversity : 0.868190 Lumma stability : 0.137097 Lumma impropriety factor : 0.592742 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 : 66.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
3: 0 3 0 N M DE I SD: 86.7564 c. M: 134.0000 c. 5: 1 4 0 N G T3 SD: 54.0721 c. M:-68.0000 c. 6: 1 5 0 N G T3 SD: 43.2272 c. M:-68.0000 c. 7: 1 6 0 N G T3 SD: 39.5116 c. M:-68.0000 c. 8: 1 6 1 N M DE I SD: 32.8431 c. M: 56.0000 c. 9: 1 7 1 N M DE I SD: 27.9768 c. M: 42.2222 c. 10: 1 8 1 N M DE I SD: 26.9844 c. M: 34.8000 c. 12: 2 9 1 N T3 SD: 19.9741 c. M:-31.3333 c. 13: 2 10 1 N T3 SD: 11.7693 c. M:-18.6154 c. 14: 2 11 1 N T3 SD: 4.7495 c. M:-7.7143 c. 15: 2 12 1 N T3 SD: 1.4707 c. M:-1.8667 c. 29: 4 23 2 N T3 SD: 1.6499 c. M:-2.8276 c. 44: 6 35 3 N T3 SD: 0.7642 c. M:-1.2727 c. 59: 8 47 4 N T3 SD: 0.5211 c. M:-0.7458 c. 162: 22 129 11 N T3 SD: 0.5552 c. M:-0.7160 c. 192: 26 153 13 N T3 SD: 0.5182 c. M:-0.8333 c. 221: 30 176 15 N T3 SD: 0.5431 c. M:-0.6697 c. 245: 33 195 17 N T3 SD: 0.5293 c. M: 0.8327 c. 251: 34 200 17 N T3 SD: 0.5167 c. M:-0.8127 c. 260: 35 207 18 N T3 SD: 0.4730 c. M: 0.6769 c. 274: 37 218 19 N T3 SD: 0.4558 c. M: 0.7883 c. 275: 37 219 19 N T3 SD: 0.4365 c. M: 0.5382 c. 289: 39 230 20 N T3 SD: 0.3832 c. M: 0.6505 c. 290: 39 231 20 N T3 SD: 0.4175 c. M: 0.5931 c. 304: 41 242 21 N T3 SD: 0.3273 c. M: 0.5263 c. 319: 43 254 22 N T3 SD: 0.2891 c. M: 0.4138 c. 334: 45 266 23 N T3 SD: 0.2693 c. M: 0.3473 c. 348: 47 277 24 N T3 SD: 0.2393 c. M: 0.4138 c. 363: 49 289 25 N T3 SD: 0.1923 c. M: 0.3196 c. 378: 51 301 26 N T3 SD: 0.1627 c. M: 0.2328 c. 393: 53 313 27 N T3 SD: 0.1541 c. M: 0.2188 c. 407: 55 324 28 N T3 SD: 0.1452 c. M: 0.2457 c. 422: 57 336 29 N T3 SD: 0.0987 c. M: 0.1706 c. 437: 59 348 30 N T3 SD: 0.0704 c. M: 0.1007 c. 481: 65 383 33 N T3 SD: 0.0459 c. M: 0.0582 c. 496: 67 395 34 N T3 SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 208.0000 cents 2 x 3:4 S SD: 152.1249 cents 3:4:5 x S SD: 183.0985 cents 4:5 x 7 SD: 126.6879 cents 5:6 x 9 S SD: 91.7179 cents 6:7:10:11 SD: 50.0185 cents 7:8:12 x S SD: 48.8010 cents 8:9 x 14 SD: 36.8254 cents 9:10:15:16 S SD: 20.8994 cents 10:11:17:18 SD: 13.5201 cents 13:14:22:23 SD: 5.0011 cents 27:29:46:48 SD: 3.7282 cents 37:40:63:66 SD: 3.4371 cents 48:52:82:85 SD: 2.0488 cents 61:66:104:108 SD: 1.2888 cents 75:81:128:133 SD: 0.5426 cents 163:176:278:289 SD: 0.4369 cents 173:187:295:307 SD: 0.4005 cents 186:201:317:330 SD: 0.3939 cents 234:253:399:415 SD: 0.3887 cents 248:268:423:440 SD: 0.2526 cents 261:282:445:463 SD: 0.1537 cents 336:363:573:596 SD: 0.1016 cents