Scala analysis: Papua_New_Guinea_Phon_08
Phon 8 (Voice), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 208.000 cents 208.000000 2: 378.000 cents 378.000000 3: 488.000 cents 488.000000 4: 688.000 cents 688.000000 5: 846.000 cents 846.000000 6: 1200.000 cents 1200.000000 7: 1408.000 cents 1408.000000
SHOW/INTERVAL
0: 208.0000 cents 208.0000 1: 208.0000 cents 208.0000 2: 170.0000 cents 170.0000 3: 110.0000 cents 110.0000 4: 200.0000 cents 200.0000 5: 158.0000 cents 158.0000 6: 354.0000 cents 354.0000 7: 208.0000 cents 208.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 110.00000 cents 1: 1 158.00000 cents 1: 1 170.00000 cents 1: 1 200.00000 cents 1: 2 208.00000 cents 1: 1 354.00000 cents 2: 1 280.00000 cents 2: 1 310.00000 cents 2: 1 358.00000 cents 2: 1 378.00000 cents 2: 1 416.00000 cents 2: 1 512.00000 cents 2: 1 562.00000 cents 3: 1 468.00000 cents 3: 1 480.00000 cents 3: 1 488.00000 cents 3: 1 586.00000 cents 3: 1 712.00000 cents 3: 1 720.00000 cents 3: 1 770.00000 cents 4: 1 638.00000 cents 4: 1 688.00000 cents 4: 1 696.00000 cents 4: 1 822.00000 cents 4: 1 920.00000 cents 4: 1 928.00000 cents 4: 1 940.00000 cents 5: 1 846.00000 cents 5: 1 896.00000 cents 5: 1 992.00000 cents 5: 1 1030.00000 cents 5: 1 1050.00000 cents 5: 1 1098.00000 cents 5: 1 1128.00000 cents 6: 1 1054.00000 cents 6: 2 1200.00000 cents 6: 1 1208.00000 cents 6: 1 1238.00000 cents 6: 1 1250.00000 cents 6: 1 1298.00000 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 : 208.0 378.0 488.0 688.0 846.0 1200.0 1408.0 208.0 : 170.0 280.0 480.0 638.0 992.0 1200.0 1408.0 378.0 : 110.0 310.0 468.0 822.0 1030.0 1238.0 1408.0 488.0 : 200.0 358.0 712.0 920.0 1128.0 1298.0 1408.0 688.0 : 158.0 512.0 720.0 928.0 1098.0 1208.0 1408.0 846.0 : 354.0 562.0 770.0 940.0 1050.0 1250.0 1408.0 1200.0: 208.0 416.0 586.0 696.0 896.0 1054.0 1408.0 1408.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 110.0000 .. 354.0000 cents 244.00000 cents 110.00000 cents 2: 280.0000 .. 562.0000 cents 282.00000 cents -74.00000 cents 3: 468.0000 .. 770.0000 cents 302.00000 cents -94.00000 cents 4: 638.0000 .. 940.0000 cents 302.00000 cents -132.00000 cents 5: 846.0000 .. 1128.0000 cents 282.00000 cents -94.00000 cents 6: 1054.0000 .. 1298.0000 cents 244.00000 cents -74.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 110.00000 cents, class 1 Average step (divided formal octave): 201.1429 cents Largest one step interval : 354.00000 cents Average / Smallest step : 1.828571 Largest / Average step : 1.759943 Largest / Smallest step : 3.218182 Median interval of one step : 200.00000 cents, amount: 1 Most common interval of one step : 208.00000 cents, amount: 2 Least squares average step : 189.04286 cents, oct.: 1323.30000 cents Scale is not proper Scale is a mode of a 704-tone equal temperament with octave 1408.000 cents degrees: 104 189 244 344 423 600 704 Least number of segments generator : 353 of 706.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 453 of 906.000 cents and inv. generated superset size: 237 = 230 more = 3385.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFA Step pattern size order : ECADBFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.210682 Lumma stability : 0.156250 Lumma impropriety factor : 0.332386 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 : 4.00000 cents Most common intervals : 208.00000 cents & inv., amount: 2 Most common triad is 0.0 208.000 1200.000 cents, amount: 1 Number of recognisable fifths : 4, average 704.0000 cents Number of appreciable fifths : 2, average 704.0000 cents Number of recognisable fourths : 3, average 493.3333 cents Number of appreciable fourths : 1, average 488.0000 cents Formal octave complements present : 3 = 42.8571% 2/1 octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 1 1 2 1 N T3 SD: 49.1346 c. M: 85.7143 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 28.6257 c. M:-40.0000 c. 12: 2 1 1 2 1 3 2 N SD: 21.7489 c. M: 26.6667 c. 14: 2 2 1 2 1 4 2 N SD: 20.2728 c. M: 41.4286 c. 15: 2 2 1 2 2 4 2 N T3 SD: 17.4628 c. M: 30.9333 c. 18: 3 2 1 3 2 4 3 N SD: 18.5442 c. M:-26.6667 c. 20: 3 2 2 3 2 5 3 N SD: 11.8138 c. M: 26.0000 c. 21: 3 3 1 3 3 5 3 N T3 SD: 16.8849 c. M:-25.6190 c. 22: 3 3 2 3 2 6 3 N SD: 15.0048 c. M:-24.0000 c. 25: 4 3 2 3 3 6 4 N SD: 13.9729 c. M:-18.8800 c. 26: 4 3 2 4 3 6 4 N SD: 10.8540 c. M:-20.4615 c. 27: 4 3 2 4 3 7 4 N SD: 10.3780 c. M: 18.6667 c. 33: 5 4 2 5 4 8 5 N SD: 8.6483 c. M: 18.6667 c. 34: 5 4 3 5 3 9 5 N SD: 9.8657 c. M: 17.7647 c. 35: 5 4 3 5 4 9 5 N SD: 7.5045 c. M: 15.9429 c. 40: 6 5 3 6 4 10 6 N SD: 7.4220 c. M:-16.0000 c. 41: 6 5 3 6 5 10 6 N SD: 5.5848 c. M:-12.5366 c. 47: 7 6 3 7 5 12 7 N SD: 6.1521 c. M:-11.4468 c. 52: 8 6 4 7 6 13 8 N SD: 6.7236 c. M: 11.0769 c. 53: 8 6 4 8 6 13 8 N SD: 5.3249 c. M: 9.8113 c. 55: 8 7 4 8 6 14 8 N SD: 3.1785 c. M:-6.0000 c. 67: 10 8 5 10 7 17 10 N SD: 3.5928 c. M:-5.4925 c. 75: 11 9 6 11 8 19 11 N SD: 2.8301 c. M:-6.6133 c. 86: 13 10 7 12 10 21 13 N SD: 3.5381 c. M:-5.3488 c. 90: 13 11 7 13 10 23 13 N SD: 2.9240 c. M: 4.6222 c. 100: 15 12 8 14 11 25 15 N SD: 2.7597 c. M:-4.8000 c. 101: 15 12 8 14 12 25 15 N SD: 2.6270 c. M: 4.9109 c. 107: 16 13 8 15 12 27 16 N SD: 2.8247 c. M: 3.8318 c. 108: 16 13 8 16 12 27 16 N SD: 2.4831 c. M: 5.6296 c. 115: 17 14 9 16 13 29 17 N SD: 1.3359 c. M: 2.3652 c. 156: 23 19 12 22 18 39 23 N SD: 1.3034 c. M:-2.4103 c. 168: 25 20 13 24 19 42 25 N SD: 1.1841 c. M: 1.9048 c. 176: 26 21 14 25 20 44 26 N SD: 1.0690 c. M: 2.0000 c. 190: 28 23 15 27 21 48 28 N SD: 0.8056 c. M: 1.2000 c. 223: 33 27 17 32 25 56 33 N SD: 0.7884 c. M: 1.8296 c. 231: 34 28 18 33 26 58 34 N SD: 0.6999 c. M:-1.2381 c. 291: 43 35 23 41 33 73 43 N SD: 0.5670 c. M: 0.9347 c. 346: 51 42 27 49 39 87 51 N SD: 0.3771 c. M: 0.4624 c. 358: 53 43 28 51 40 90 53 N SD: 0.3645 c. M: 0.4469 c. 473: 70 57 37 67 53 119 70 N SD: 0.3418 c. M: 0.6047 c. 514: 76 62 40 73 58 129 76 N SD: 0.2978 c. M:-0.4436 c. 589: 87 71 46 84 66 148 87 N SD: 0.2608 c. M:-0.4618 c. 649: 96 78 51 92 73 163 96 N SD: 0.2694 c. M: 0.5085 c. 704: 104 85 55 100 79 177 104 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 4:5 S SD: 59.6196 cents 3 x x 4 x 5:6:7 S SD: 17.7449 cents 4 x 5 x 6:7:8:9 S SD: 24.7926 cents 5 x 6:7 x 8:10:11 S SD: 25.0711 cents 6:7 x 8:9:10:12:14 S SD: 15.5444 cents 7:8 x 9:10:11:14:16 SD: 18.9146 cents 8:9:10:11:12:13:16:18 SD: 9.4074 cents 13:15:16:17:19:21:26:29 SD: 9.0883 cents 15:17:19:20:22:24:30:34 SD: 7.6861 cents 16:18:20:21:24:26:32:36 SD: 3.5679 cents 24:27:30:32:36:39:48:54 SD: 2.9560 cents 33:37:41:44:49:54:66:74 SD: 2.7087 cents 37:42:46:49:55:60:74:83 SD: 2.5012 cents 41:46:51:54:61:67:82:92 SD: 2.4657 cents 46:52:57:61:68:75:92:104 SD: 2.0756 cents 49:55:61:65:73:80:98:111 SD: 1.6745 cents 62:70:77:82:92:101:124:140 SD: 1.0792 cents 70:79:87:93:104:114:140:158 SD: 0.7946 cents 86:97:107:114:128:140:172:194 SD: 0.3567 cents 197:222:245:261:293:321:394:444 SD: 0.3204 cents 258:291:321:342:384:421:516:582 SD: 0.2712 cents 283:319:352:375:421:461:566:638 SD: 0.2558 cents 328:370:408:435:488:535:656:740 SD: 0.2214 cents 344:388:428:456:512:561:688:776 SD: 0.1488 cents 414:467:515:549:616:675:828:934 SD: 0.1484 cents 430:485:535:570:640:701:860:970 SD: 0.1095 cents 525:592:653:696:781:856:1050:1184 SD: 0.0883 cents 541:610:673:717:805:882:1082:1220 SD: 0.0715 cents