Scala analysis: Papua_New_Guinea_Phon_05
Phon 5 (Voice), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 238.000 cents 238.000000 2: 395.000 cents 395.000000 3: 479.000 cents 479.000000 4: 724.000 cents 724.000000 5: 926.000 cents 926.000000 6: 1200.000 cents 1200.000000 7: 1438.000 cents 1438.000000
SHOW/INTERVAL
0: 238.0000 cents 238.0000 1: 238.0000 cents 238.0000 2: 157.0000 cents 157.0000 3: 84.0000 cents 84.0000 4: 245.0000 cents 245.0000 5: 202.0000 cents 202.0000 6: 274.0000 cents 274.0000 7: 238.0000 cents 238.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 84.00000 cents 1: 1 157.00000 cents 1: 1 202.00000 cents 1: 2 238.00000 cents 1: 1 245.00000 cents 1: 1 274.00000 cents 2: 1 241.00000 cents 2: 1 329.00000 cents 2: 1 395.00000 cents 2: 1 447.00000 cents 2: 2 476.00000 cents 2: 1 512.00000 cents 3: 1 479.00000 cents 3: 1 486.00000 cents 3: 1 531.00000 cents 3: 1 633.00000 cents 3: 1 714.00000 cents 3: 1 721.00000 cents 3: 1 750.00000 cents 4: 1 688.00000 cents 4: 1 717.00000 cents 4: 1 724.00000 cents 4: 1 805.00000 cents 4: 1 907.00000 cents 4: 1 952.00000 cents 4: 1 959.00000 cents 5: 1 926.00000 cents 5: 2 962.00000 cents 5: 1 991.00000 cents 5: 1 1043.00000 cents 5: 1 1109.00000 cents 5: 1 1197.00000 cents 6: 1 1164.00000 cents 6: 1 1193.00000 cents 6: 2 1200.00000 cents 6: 1 1236.00000 cents 6: 1 1281.00000 cents 6: 1 1354.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 238.0 395.0 479.0 724.0 926.0 1200.0 1438.0 238.0 : 157.0 241.0 486.0 688.0 962.0 1200.0 1438.0 395.0 : 84.0 329.0 531.0 805.0 1043.0 1281.0 1438.0 479.0 : 245.0 447.0 721.0 959.0 1197.0 1354.0 1438.0 724.0 : 202.0 476.0 714.0 952.0 1109.0 1193.0 1438.0 926.0 : 274.0 512.0 750.0 907.0 991.0 1236.0 1438.0 1200.0: 238.0 476.0 633.0 717.0 962.0 1164.0 1438.0 1438.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 84.0000 .. 274.0000 cents 190.00000 cents 84.00000 cents 2: 241.0000 .. 512.0000 cents 271.00000 cents -33.00000 cents 3: 479.0000 .. 750.0000 cents 271.00000 cents -33.00000 cents 4: 688.0000 .. 959.0000 cents 271.00000 cents -62.00000 cents 5: 926.0000 .. 1197.0000 cents 271.00000 cents -33.00000 cents 6: 1164.0000 .. 1354.0000 cents 190.00000 cents -33.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 84.00000 cents, class 1 Average step (divided formal octave): 205.4286 cents Largest one step interval : 274.00000 cents Average / Smallest step : 2.445578 Largest / Average step : 1.333797 Largest / Smallest step : 3.261905 Median interval of one step : 238.00000 cents, amount: 2 Most common interval of one step : 238.00000 cents, amount: 2 Least squares average step : 194.69286 cents, oct.: 1362.85000 cents Scale is not proper Scale is a mode of a 1438-tone equal temperament with octave 1438.000 cents degrees: 238 395 479 724 926 1200 1438 Least number of segments generator : 721 of 721.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1277 of 1277.000 cents and inv. generated superset size: 297 = 290 more = 4242.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFA Step pattern size order : DBAECFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.164026 Lumma stability : 0.116829 Lumma impropriety factor : 0.134910 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 3, average 706.3333 cents Number of appreciable fifths : 1, average 714.0000 cents Number of recognisable fourths : 2, average 499.0000 cents Number of appreciable fourths : 1, average 486.0000 cents Formal octave complements present : 3 = 42.8571% 2/1 octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 2 1 1 1 N T3 SD: 61.8693 c. M:-101.1429 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 42.1629 c. M:-60.2500 c. 11: 2 1 1 2 1 2 2 N D3 SD: 31.1654 c. M:-60.3636 c. 12: 2 1 1 2 2 2 2 P D3 S SD: 18.3538 c. M: 35.5000 c. 14: 2 2 1 2 2 3 2 P T3 SD: 22.6649 c. M:-34.5714 c. 17: 3 2 1 3 2 3 3 N SD: 22.3687 c. M:-37.2941 c. 18: 3 2 1 3 3 3 3 P SD: 12.6352 c. M:-32.6667 c. 23: 4 2 2 4 3 4 4 N SD: 16.7537 c. M:-26.2609 c. 24: 4 3 1 4 3 5 4 N SD: 13.9867 c. M: 27.2500 c. 25: 4 3 1 5 3 5 4 N SD: 12.7367 c. M:-23.7600 c. 26: 4 3 2 4 4 5 4 P SD: 13.1137 c. M:-18.7692 c. 29: 5 3 2 5 4 5 5 N SD: 12.7427 c. M:-19.7931 c. 30: 5 3 2 5 4 6 5 N SD: 7.5286 c. M: 15.2667 c. 36: 6 4 2 6 5 7 6 N SD: 3.8431 c. M: 7.2778 c. 48: 8 5 3 8 7 9 8 N SD: 3.1330 c. M: 5.5417 c. 73: 12 8 4 13 10 14 12 N SD: 3.1322 c. M: 6.2329 c. 84: 14 9 5 14 12 16 14 N SD: 2.2274 c. M: 5.0000 c. 103: 17 11 6 18 14 20 17 N SD: 2.9517 c. M: 4.5631 c. 109: 18 12 6 19 15 21 18 N SD: 1.9479 c. M: 4.0642 c. 121: 20 13 7 21 17 23 20 N SD: 1.8182 c. M: 3.6281 c. 127: 21 14 7 22 18 24 21 N SD: 1.6977 c. M: 3.4409 c. 141: 23 16 8 24 20 27 23 N SD: 2.2523 c. M: 3.4326 c. 145: 24 16 8 25 20 28 24 N SD: 1.9033 c. M: 3.6966 c. 151: 25 16 9 26 21 29 25 N SD: 2.2010 c. M: 4.5497 c. 157: 26 17 9 27 22 30 26 N SD: 1.1822 c. M: 2.7197 c. 163: 27 18 9 28 23 31 27 N SD: 1.2705 c. M: 2.6074 c. 171: 28 19 10 29 24 33 28 N SD: 1.4455 c. M: 2.5380 c. 175: 29 19 10 30 25 33 29 N SD: 1.3902 c. M:-2.5371 c. 183: 30 20 11 31 26 35 30 N SD: 1.5787 c. M: 2.2623 c. 186: 31 20 11 32 26 35 31 N SD: 1.5429 c. M:-2.7312 c. 189: 31 21 11 32 27 36 31 N SD: 1.5154 c. M:-2.2328 c. 193: 32 21 11 33 27 37 32 N SD: 1.2562 c. M: 2.1503 c. 207: 34 23 12 35 29 40 34 N SD: 1.4237 c. M: 2.0676 c. 211: 35 23 12 36 30 40 35 N SD: 1.0474 c. M: 1.9384 c. 219: 36 24 13 37 31 42 36 N SD: 1.1568 c. M: 1.7169 c. 222: 37 24 13 38 31 42 37 N SD: 1.0653 c. M: 1.6667 c. 236: 39 26 14 40 33 45 39 N SD: 1.0825 c. M:-2.3644 c. 258: 43 28 15 44 36 49 43 N SD: 1.0091 c. M: 1.6667 c. 270: 45 29 16 46 38 51 45 N SD: 1.0040 c. M: 1.6667 c. 284: 47 31 17 48 40 54 47 N SD: 0.7974 c. M:-2.0211 c. 292: 48 32 17 50 41 56 48 N SD: 1.0707 c. M: 1.6164 c. 298: 49 33 17 51 42 57 49 N SD: 1.0133 c. M: 1.5503 c. 303: 50 33 18 52 42 58 50 N SD: 1.0070 c. M:-2.1188 c. 306: 51 33 18 52 43 58 51 N SD: 0.9161 c. M: 1.6667 c. 309: 51 34 18 53 43 59 51 N SD: 0.8647 c. M:-1.9806 c. 320: 53 35 19 54 45 61 53 N SD: 0.7514 c. M:-1.8313 c. 328: 54 36 19 56 46 63 54 N SD: 0.9167 c. M: 1.2561 c. 331: 55 36 19 57 46 63 55 N SD: 0.9139 c. M:-1.5166 c. 332: 55 36 20 56 47 63 55 N SD: 0.8654 c. M:-1.7771 c. 334: 55 37 19 57 47 64 55 N SD: 0.9189 c. M: 1.2036 c. 339: 56 37 20 58 47 65 56 N SD: 0.7787 c. M:-1.3628 c. 345: 57 38 20 59 48 66 57 N SD: 0.7000 c. M:-1.2522 c. 346: 57 38 20 59 49 66 57 N SD: 0.8394 c. M: 1.1040 c. 351: 58 38 21 60 49 67 58 N SD: 0.8123 c. M: 1.7009 c. 357: 59 39 21 61 50 68 59 N SD: 0.4927 c. M:-1.0420 c. 379: 63 41 22 65 53 72 63 N SD: 0.7265 c. M: 1.0343 c. 387: 64 42 23 66 54 74 64 N SD: 0.5842 c. M: 1.1292 c. 393: 65 43 23 67 55 75 65 N SD: 0.2682 c. M:-0.4885 c. 441: 73 48 26 75 62 84 73 N SD: 0.2167 c. M: 0.4467 c. 604: 100 66 35 103 85 115 100 N SD: 0.2213 c. M: 0.4603 c. 798: 132 87 47 136 112 152 132 N SD: 0.2662 c. M:-0.4060 c. 804: 133 88 47 137 113 153 133 N SD: 0.2857 c. M:-0.4726 c. 834: 138 91 49 142 117 159 138 N SD: 0.1603 c. M:-0.3333 c. 888: 147 97 52 151 125 169 147 N SD: 0.1811 c. M:-0.3333 c. 961: 159 105 56 164 135 183 159 N SD: 0.1502 c. M:-0.2456 c. 991: 164 108 58 169 139 189 164 N SD: 0.1593 c. M: 0.3118 c. 997: 165 109 58 170 140 190 165 N SD: 0.0958 c. M:-0.1976 c. 1045: 173 114 61 178 147 199 173 N SD: 0.1009 c. M: 0.1837 c. 1402: 232 153 82 239 197 267 232 N SD: 0.0987 c. M:-0.1869 c. 1438: 238 157 84 245 202 274 238 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: 49.9810 cents 3 x x 4 x 5:6:7 S SD: 13.5329 cents 4 x 5 x 6:7:8:9 S SD: 11.9292 cents 5:6 x 7:8:9:10:11 S SD: 32.7044 cents 6:7 x 8:9:10:12:14 S SD: 10.8650 cents 7:8:9 x 11:12:14:16 SD: 11.9862 cents 10:11 x 13:15:17:20:23 SD: 13.4356 cents 11:13:14:15:17:19:22:25 SD: 12.8191 cents 12:14:15:16:18:20:24:28 S SD: 9.3952 cents 13:15:16:17:20:22:26:30 SD: 6.9551 cents 14:16:18 x 21:24:28:32 S SD: 7.8823 cents 15:17:19:20:23:26:30:34 SD: 7.0274 cents 16:18:20:21:24:27:32:37 SD: 6.9614 cents 19:22:24:25:29:32:38:44 SD: 4.9933 cents 21:24:26:28:32:36:42:48 S SD: 4.8900 cents 25:29:31:33:38:43:50:57 SD: 4.8732 cents 27:31:34:36:41:46:54:62 SD: 2.8418 cents 34:39:43:45:52:58:68:78 SD: 2.5122 cents 35:40:44:46:53:60:70:80 SD: 2.0778 cents 47:54:59:62:71:80:94:108 SD: 1.6684 cents 54:62:68:71:82:92:108:124 SD: 1.1040 cents 75:86:94:99:114:128:150:172 SD: 0.6808 cents 116:133:146:153:176:198:232:266 SD: 0.6177 cents 129:148:162:170:196:220:258:296 SD: 0.3298 cents 191:219:240:252:290:326:382:438 SD: 0.3124 cents 245:281:308:323:372:418:490:562 SD: 0.3106 cents 270:310:339:356:410:461:540:620 SD: 0.3037 cents 277:318:348:365:421:473:554:636 SD: 0.3011 cents 285:327:358:376:433:487:570:654 SD: 0.2467 cents 304:349:382:401:462:519:608:698 SD: 0.2323 cents 320:367:402:422:486:546:640:734 SD: 0.2226 cents 339:389:426:447:515:579:678:778 SD: 0.1344 cents 414:475:520:546:629:707:828:950 SD: 0.0898 cents 468:537:588:617:711:799:936:1074 SD: 0.0761 cents 543:623:682:716:825:927:1086:1246 SD: 0.0698 cents