Scala analysis: Papua_New_Guinea_Phon_02
Phon 2 (Voice), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 459.000 cents 459.000000 2: 621.000 cents 621.000000 3: 966.000 cents 966.000000 4: 1258.000 cents 1258.000000
SHOW/INTERVAL
0: 292.0000 cents 292.0000 1: 459.0000 cents 459.0000 2: 162.0000 cents 162.0000 3: 345.0000 cents 345.0000 4: 292.0000 cents 292.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 162.00000 cents 1: 1 292.00000 cents 1: 1 345.00000 cents 1: 1 459.00000 cents 2: 1 507.00000 cents 2: 1 621.00000 cents 2: 1 637.00000 cents 2: 1 751.00000 cents 3: 1 799.00000 cents 3: 1 913.00000 cents 3: 1 966.00000 cents 3: 1 1096.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 459.0 621.0 966.0 1258.0 459.0 : 162.0 507.0 799.0 1258.0 621.0 : 345.0 637.0 1096.0 1258.0 966.0 : 292.0 751.0 913.0 1258.0 1258.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.0000 .. 459.0000 cents 297.00000 cents 162.00000 cents 2: 507.0000 .. 751.0000 cents 244.00000 cents 48.00000 cents 3: 799.0000 .. 1096.0000 cents 297.00000 cents 48.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 162.00000 cents, class 1 Average step (divided formal octave): 314.5000 cents Largest one step interval : 459.00000 cents Average / Smallest step : 1.941358 Largest / Average step : 1.459459 Largest / Smallest step : 2.833333 Median interval of one step : 318.50000 cents, amount: 0 Least squares average step : 321.03333 cents, oct.: 1284.13333 cents Scale is strictly proper Scale is a mode of a 1258-tone equal temperament with octave 1258.000 cents degrees: 459 621 966 1258 Least number of segments generator : 631 of 631.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1231 of 1231.000 cents and inv. generated superset size: 128 = 124 more = 3200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : DACB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 48.00000 cents Scale diversity : 1.600257 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.333863 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 16.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 507.0000 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 73.2299 c. M: 144.5000 c. 5: 2 1 1 1 P M ME SD: 73.2943 c. M:-133.8000 c. 6: 2 1 2 1 SP B ME SD: 45.8700 c. M:-82.3333 c. Messiaen truncated mode 6 inverse 8: 3 1 2 2 P T3 SD: 13.5353 c. M: 22.5000 c. 14: 5 2 4 3 SP SD: 12.8589 c. M:-22.4286 c. 22: 8 3 6 5 SP SD: 5.0864 c. M:-8.0000 c. 30: 11 4 8 7 SP SD: 4.2276 c. M:-8.0000 c. 47: 17 6 13 11 SP SD: 3.5598 c. M: 5.3830 c. 55: 20 7 15 13 SP SD: 3.2700 c. M: 5.3455 c. 57: 21 7 16 13 SP SD: 3.7118 c. M:-5.0877 c. 61: 22 8 17 14 SP SD: 3.3215 c. M: 5.2951 c. 65: 24 8 18 15 SP SD: 2.9934 c. M:-5.4923 c. 69: 25 9 19 16 SP SD: 1.7021 c. M: 3.2029 c. 77: 28 10 21 18 SP SD: 1.2976 c. M: 2.0779 c. 99: 36 13 27 23 SP SD: 1.1367 c. M:-1.6465 c. 134: 49 17 37 31 SP SD: 0.9872 c. M: 1.3881 c. 142: 52 18 39 33 SP SD: 0.9580 c. M:-1.6761 c. 156: 57 20 43 36 SP SD: 0.9077 c. M:-1.6923 c. 164: 60 21 45 38 SP SD: 0.6925 c. M:-1.2439 c. 186: 68 24 51 43 SP SD: 0.9667 c. M:-1.2366 c. 203: 74 26 56 47 SP SD: 0.7746 c. M: 1.2956 c. 211: 77 27 58 49 SP SD: 0.4786 c. M: 0.9431 c. 233: 85 30 64 54 SP SD: 0.2315 c. M:-0.4464 c. 241: 88 31 66 56 SP SD: 0.2514 c. M:-0.3527 c. 310: 113 40 85 72 SP SD: 0.2442 c. M: 0.4387 c. 452: 165 58 124 105 SP SD: 0.2388 c. M: 0.3496 c. 474: 173 61 130 110 SP SD: 0.0799 c. M:-0.1435 c. 784: 286 101 215 182 SP SD: 0.0483 c. M: 0.0867 c. 1017: 371 131 279 236 SP SD: 0.0596 c. M: 0.0836 c. 1025: 374 132 281 238 SP SD: 0.0526 c. M: 0.1015 c. 1258: 459 162 345 292 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 58.0000 cents 2 x 3 x 4 S SD: 49.7939 cents 3:4 x 5:6 S SD: 35.8296 cents 4:5:6:7:8 H SD: 30.8312 cents 5 x 7:9:10 SD: 28.8819 cents 7:9:10:12:14 SD: 17.7285 cents 9:12:13:16:19 SD: 15.6952 cents 11:14:16:19:23 SD: 14.2291 cents 12:16:17:21:25 SD: 11.2280 cents 13:17:19:23:27 SD: 10.7563 cents 14:18:20:24:29 SD: 10.2237 cents 16:21:23:28:33 SD: 3.7252 cents 30:39:43:52:62 SD: 3.6938 cents 39:51:56:68:81 SD: 2.7871 cents 46:60:66:80:95 SD: 2.3230 cents 56:73:80:98:116 SD: 1.3203 cents 72:94:103:126:149 SD: 1.0354 cents 86:112:123:150:178 SD: 0.9869 cents 102:133:146:178:211 SD: 0.5296 cents 158:206:226:276:327 SD: 0.4642 cents 162:211:232:283:335 SD: 0.4271 cents 174:227:249:304:360 SD: 0.3967 cents 178:232:255:311:368 SD: 0.3764 cents 218:284:312:381:451 SD: 0.3536 cents 234:305:335:409:484 SD: 0.1992 cents 336:438:481:587:695 SD: 0.0762 cents