Scala analysis: Papua_New_Guinea_Phon_11
Phon 11 (Flute), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 435.000 cents 435.000000 2: 797.000 cents 797.000000 3: 1116.000 cents 1116.000000 4: 1281.000 cents 1281.000000
SHOW/INTERVAL
0: 165.0000 cents 165.0000 1: 435.0000 cents 435.0000 2: 362.0000 cents 362.0000 3: 319.0000 cents 319.0000 4: 165.0000 cents 165.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 165.00000 cents 1: 1 319.00000 cents 1: 1 362.00000 cents 1: 1 435.00000 cents 2: 1 484.00000 cents 2: 1 600.00000 cents 2: 1 681.00000 cents 2: 1 797.00000 cents 3: 1 846.00000 cents 3: 1 919.00000 cents 3: 1 962.00000 cents 3: 1 1116.00000 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 : 435.0 797.0 1116.0 1281.0 435.0 : 362.0 681.0 846.0 1281.0 797.0 : 319.0 484.0 919.0 1281.0 1116.0: 165.0 600.0 962.0 1281.0 1281.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 165.0000 .. 435.0000 cents 270.00000 cents 165.00000 cents 2: 484.0000 .. 797.0000 cents 313.00000 cents 49.00000 cents 3: 846.0000 .. 1116.0000 cents 270.00000 cents 49.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 165.00000 cents, class 1 Average step (divided formal octave): 320.2500 cents Largest one step interval : 435.00000 cents Average / Smallest step : 1.940909 Largest / Average step : 1.358314 Largest / Smallest step : 2.636364 Median interval of one step : 340.50000 cents, amount: 0 Least squares average step : 350.03333 cents, oct.: 1400.13333 cents Scale is strictly proper Scale is a mode of a 1281-tone equal temperament with octave 1281.000 cents degrees: 435 797 1116 1281 Least number of segments generator : 641 of 641.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 859 of 859.000 cents and inv. generated superset size: 121 = 117 more = 3025.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : DCBA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 49.00000 cents Scale diversity : 1.553249 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.334114 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 : 43.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 484.0000 cents Number of appreciable fourths : 0 Best minor thirds form a closed circle Steps are strictly decreasing 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: 124.2602 c. M: 156.5000 c. 5: 2 1 1 1 P M ME SD: 61.4711 c. M: 91.2000 c. 6: 2 2 1 1 P D3 S SD: 37.6339 c. M:-57.0000 c. 8: 3 2 2 1 P T3 SD: 22.8899 c. M:-45.3750 c. 13: 4 4 3 2 SP SD: 26.3291 c. M: 40.8462 c. 14: 5 4 3 2 P SD: 19.5736 c. M:-26.5000 c. 15: 5 4 4 2 SP SD: 15.0350 c. M: 28.4000 c. 18: 6 5 5 2 SP SD: 13.9506 c. M:-22.6667 c. 21: 7 6 5 3 SP SD: 10.0499 c. M: 18.0000 c. 23: 8 6 6 3 SP SD: 10.1725 c. M: 17.2609 c. 24: 8 7 6 3 SP SD: 5.0226 c. M: 8.0000 c. 32: 11 9 8 4 SP SD: 4.0454 c. M:-5.3438 c. 47: 16 13 12 6 SP SD: 3.4219 c. M: 6.5957 c. 53: 18 15 13 7 SP SD: 2.1162 c. M: 4.1887 c. 71: 24 20 18 9 SP SD: 2.2733 c. M: 3.1408 c. 77: 26 22 19 10 SP SD: 1.6026 c. M: 2.4545 c. 85: 29 24 21 11 SP SD: 1.3987 c. M:-2.0471 c. 109: 37 31 27 14 SP SD: 1.1062 c. M:-2.1560 c. 124: 42 35 31 16 SP SD: 0.9612 c. M: 1.5403 c. 156: 53 44 39 20 SP SD: 0.4657 c. M:-0.7692 c. 209: 71 59 52 27 SP SD: 0.2785 c. M: 0.4880 c. 365: 124 103 91 47 SP SD: 0.1889 c. M: 0.3233 c. 442: 150 125 110 57 SP SD: 0.1677 c. M: 0.2715 c. 474: 161 134 118 61 SP SD: 0.1530 c. M:-0.2468 c. 598: 203 169 149 77 SP SD: 0.0994 c. M: 0.1455 c. 683: 232 193 170 88 SP SD: 0.0870 c. M:-0.1274 c. 807: 274 228 201 104 SP SD: 0.0899 c. M: 0.1450 c. 839: 285 237 209 108 SP SD: 0.0883 c. M:-0.1430 c. 916: 311 259 228 118 SP SD: 0.0753 c. M:-0.1288 c. 1072: 364 303 267 138 SP SD: 0.0543 c. M:-0.0951 c. 1281: 435 362 319 165 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 81.0000 cents 2 x 3 x 4 S SD: 62.4391 cents 3:4:5 x 6 S SD: 44.9286 cents 4:5:6 x 8 S SD: 44.6777 cents 5:6:8 x 10 S SD: 48.4033 cents 6:8:10:11:13 SD: 34.7862 cents 7:9:11:13:15 SD: 15.1052 cents 10:13:16:19:21 SD: 6.5320 cents 21:27:33:40:44 SD: 3.6308 cents 31:40:49:59:65 SD: 1.9805 cents 53:68:84:101:111 SD: 0.9437 cents 63:81:100:120:132 SD: 0.7416 cents 84:108:133:160:176 SD: 0.3968 cents 147:189:233:280:308 SD: 0.1958 cents 231:297:366:440:484 SD: 0.1780 cents 378:486:599:720:792 SD: 0.1658 cents 508:653:805:968:1065 SD: 0.1636 cents 539:693:854:1027:1130 SD: 0.1572 cents 571:734:905:1088:1197 SD: 0.1517 cents 592:761:938:1128:1241 SD: 0.1316 cents