Scala analysis: Papua_New_Guinea_Phon_07
Phon 7 (Voice), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.000 cents 189.000000 2: 386.000 cents 386.000000 3: 495.000 cents 495.000000 4: 702.000 cents 702.000000 5: 919.000 cents 919.000000 6: 1200.000 cents 1200.000000 7: 1389.000 cents 1389.000000
SHOW/INTERVAL
0: 189.0000 cents 189.0000 1: 189.0000 cents 189.0000 2: 197.0000 cents 197.0000 3: 109.0000 cents 109.0000 4: 207.0000 cents 207.0000 5: 217.0000 cents 217.0000 6: 281.0000 cents 281.0000 7: 189.0000 cents 189.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.00000 cents 1: 2 189.00000 cents 1: 1 197.00000 cents 1: 1 207.00000 cents 1: 1 217.00000 cents 1: 1 281.00000 cents 2: 1 306.00000 cents 2: 1 316.00000 cents 2: 1 378.00000 cents 2: 1 386.00000 cents 2: 1 424.00000 cents 2: 1 470.00000 cents 2: 1 498.00000 cents 3: 1 495.00000 cents 3: 1 513.00000 cents 3: 1 533.00000 cents 3: 1 575.00000 cents 3: 1 659.00000 cents 3: 1 687.00000 cents 3: 1 705.00000 cents 4: 1 684.00000 cents 4: 1 702.00000 cents 4: 1 730.00000 cents 4: 1 814.00000 cents 4: 1 856.00000 cents 4: 1 876.00000 cents 4: 1 894.00000 cents 5: 1 891.00000 cents 5: 1 919.00000 cents 5: 1 965.00000 cents 5: 1 1003.00000 cents 5: 1 1011.00000 cents 5: 1 1073.00000 cents 5: 1 1083.00000 cents 6: 1 1108.00000 cents 6: 1 1172.00000 cents 6: 1 1182.00000 cents 6: 1 1192.00000 cents 6: 2 1200.00000 cents 6: 1 1280.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 189.0 386.0 495.0 702.0 919.0 1200.0 1389.0 189.0 : 197.0 306.0 513.0 730.0 1011.0 1200.0 1389.0 386.0 : 109.0 316.0 533.0 814.0 1003.0 1192.0 1389.0 495.0 : 207.0 424.0 705.0 894.0 1083.0 1280.0 1389.0 702.0 : 217.0 498.0 687.0 876.0 1073.0 1182.0 1389.0 919.0 : 281.0 470.0 659.0 856.0 965.0 1172.0 1389.0 1200.0: 189.0 378.0 575.0 684.0 891.0 1108.0 1389.0 1389.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.0000 .. 281.0000 cents 172.00000 cents 109.00000 cents 2: 306.0000 .. 498.0000 cents 192.00000 cents 25.00000 cents 3: 495.0000 .. 705.0000 cents 210.00000 cents -3.00000 cents 4: 684.0000 .. 894.0000 cents 210.00000 cents -21.00000 cents 5: 891.0000 .. 1083.0000 cents 192.00000 cents -3.00000 cents 6: 1108.0000 .. 1280.0000 cents 172.00000 cents 25.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 109.00000 cents, class 1 Average step (divided formal octave): 198.4286 cents Largest one step interval : 281.00000 cents Average / Smallest step : 1.820446 Largest / Average step : 1.416127 Largest / Smallest step : 2.577982 Median interval of one step : 197.00000 cents, amount: 1 Most common interval of one step : 189.00000 cents, amount: 2 Least squares average step : 191.22857 cents, oct.: 1338.60000 cents Scale is not proper Scale is a mode of a 1389-tone equal temperament with octave 1389.000 cents degrees: 189 386 495 702 919 1200 1389 Least number of segments generator : 695 of 695.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 929 of 929.000 cents and inv. generated superset size: 347 = 340 more = 4957.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFA Step pattern size order : BCADEFB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.222187 Lumma stability : 0.192945 Lumma impropriety factor : 0.019438 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.66667 = 20/3 Median interval variety : 6.5 Lowest interval variety : 6 Smallest interval difference : 3.00000 cents Most common intervals : 189.00000 cents & inv., amount: 2 Most common triad is 0.0 189.000 1200.000 cents, amount: 1 Number of recognisable fifths : 3, average 698.0000 cents Number of appreciable fifths : 2, average 703.5000 cents Number of recognisable fourths : 3, average 502.0000 cents Number of appreciable fourths : 2, average 496.5000 cents Best major thirds form a closed circle Formal octave complements present : 3 = 42.8571% 2/1 octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 58.6933 c. M:-100.2857 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 27.4860 c. M: 50.8750 c. 14: 2 2 1 2 2 3 2 P T3 SD: 12.1467 c. M: 26.0714 c. 22: 3 3 2 3 4 4 3 P SD: 11.9316 c. M:-28.0455 c. 24: 3 4 2 3 4 5 3 P SD: 15.1813 c. M:-25.8750 c. 26: 3 4 2 4 4 5 4 P SD: 16.7100 c. M: 28.7308 c. 28: 4 4 2 4 5 5 4 P SD: 11.3830 c. M:-23.5357 c. 29: 4 4 2 5 4 6 4 N SD: 9.4823 c. M:-16.4483 c. 30: 4 4 3 4 5 6 4 P SD: 9.1181 c. M: 15.6000 c. 36: 5 5 3 5 6 7 5 P SD: 5.0610 c. M: 7.5000 c. 50: 7 7 4 7 8 10 7 P SD: 4.7042 c. M: 7.5000 c. 51: 7 7 4 8 8 10 7 N SD: 4.4191 c. M:-7.0000 c. 53: 7 8 4 8 8 11 7 N SD: 4.7089 c. M:-7.1132 c. 59: 8 8 5 9 9 12 8 N SD: 3.9117 c. M: 9.3220 c. 65: 9 9 5 10 10 13 9 N SD: 2.5740 c. M: 3.5077 c. 89: 12 13 7 13 14 18 12 N SD: 2.5665 c. M:-4.4157 c. 95: 13 13 8 14 15 19 13 N SD: 2.5521 c. M: 5.8526 c. 101: 14 14 8 15 16 20 14 N SD: 2.1410 c. M: 3.5347 c. 109: 15 15 9 16 17 22 15 N SD: 2.0837 c. M: 3.7064 c. 118: 16 17 9 18 18 24 16 N SD: 1.9349 c. M:-4.2712 c. 127: 17 18 10 19 20 26 17 N SD: 2.4313 c. M: 3.2047 c. 132: 18 19 10 20 20 27 18 N SD: 2.1788 c. M: 3.5227 c. 133: 18 19 10 20 21 27 18 N SD: 1.8765 c. M: 4.1504 c. 140: 19 20 11 21 22 28 19 N SD: 1.7732 c. M:-3.6929 c. 141: 19 20 11 21 22 29 19 N SD: 2.0946 c. M: 2.8511 c. 147: 20 21 11 22 23 30 20 N SD: 2.0364 c. M: 3.6531 c. 148: 20 21 12 22 23 30 20 N SD: 1.4518 c. M:-2.4122 c. 154: 21 22 12 23 24 31 21 N SD: 1.0785 c. M:-1.8377 c. 213: 29 30 17 32 33 43 29 N SD: 1.0281 c. M:-2.2817 c. 227: 31 32 18 34 35 46 31 N SD: 0.9074 c. M:-1.6784 c. 242: 33 34 19 36 38 49 33 N SD: 1.0601 c. M: 1.7603 c. 249: 34 35 20 37 39 50 34 N SD: 1.0010 c. M:-1.4699 c. 263: 36 37 21 39 41 53 36 N SD: 0.8486 c. M:-1.4487 c. 281: 38 40 22 42 44 57 38 N SD: 0.7131 c. M: 1.1637 c. 295: 40 42 23 44 46 60 40 N SD: 0.5561 c. M: 0.8475 c. 331: 45 47 26 49 52 67 45 N SD: 0.4691 c. M: 1.2054 c. 382: 52 54 30 57 60 77 52 N SD: 0.4645 c. M:-0.9398 c. 396: 54 56 31 59 62 80 54 N SD: 0.3347 c. M: 0.4848 c. 449: 61 64 35 67 70 91 61 N SD: 0.3286 c. M:-0.6927 c. 544: 74 77 43 81 85 110 74 N SD: 0.2354 c. M: 0.4504 c. 550: 75 78 43 82 86 111 75 N SD: 0.2846 c. M: 0.4091 c. 558: 76 79 44 83 87 113 76 N SD: 0.2519 c. M: 0.4677 c. 691: 94 98 54 103 108 140 94 N SD: 0.2973 c. M: 0.5080 c. 698: 95 99 55 104 109 141 95 N SD: 0.2943 c. M:-0.5029 c. 712: 97 101 56 106 111 144 97 N SD: 0.2824 c. M:-0.5140 c. 780: 106 111 61 116 122 158 106 N SD: 0.2553 c. M:-0.4269 c. 831: 113 118 65 124 130 168 113 N SD: 0.1691 c. M:-0.3141 c. 839: 114 119 66 125 131 170 114 N SD: 0.1865 c. M: 0.2682 c. 845: 115 120 66 126 132 171 115 N SD: 0.1516 c. M:-0.2899 c. 993: 135 141 78 148 155 201 135 N SD: 0.1335 c. M:-0.1934 c. 1235: 168 175 97 184 193 250 168 N SD: 0.1345 c. M: 0.2291 c. 1324: 180 188 104 197 207 268 180 N SD: 0.1264 c. M:-0.1722 c. 1375: 187 195 108 205 215 278 187 N SD: 0.1237 c. M:-0.2655 c. 1389: 189 197 109 207 217 281 189 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x S SD: 0.0000 cents 2 x x x 3 x 4 x S SD: 0.0225 cents 3 x x 4 x 5:6:7 S SD: 21.3207 cents 4 x 5 x 6:7:8:9 S SD: 10.4020 cents 5 x 6:7 x 9:10:11 SD: 30.2693 cents 6:7 x 8:9:10:12:13 S SD: 16.5127 cents 7:8:9 x 11:12:14:16 SD: 18.7418 cents 8:9:10:11:12:14:16:18 S SD: 11.1566 cents 10:11 x 13:15:17:20:22 SD: 8.8431 cents 16:18:20:21:24:27:32:36 SD: 4.9566 cents 24:27:30:32:36:41:48:54 SD: 3.2568 cents 36:40:45:48:54:61:72:80 SD: 1.6456 cents 52:58:65:69:78:88:104:116 SD: 1.3966 cents 60:67:75:80:90:102:120:134 SD: 0.6029 cents 140:156:175:186:210:238:280:312 SD: 0.5649 cents 148:165:185:197:222:252:296:330 SD: 0.3775 cents 200:223:250:266:300:340:400:446 SD: 0.2254 cents 260:290:325:346:390:442:520:580 SD: 0.0804 cents