Scala analysis: Papua_New_Guinea_Phon_16
Phon 16 (Voice), Papua New Guinea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 206.000 cents 206.000000 2: 483.000 cents 483.000000 3: 705.000 cents 705.000000 4: 844.000 cents 844.000000
SHOW/INTERVAL
0: 139.0000 cents 139.0000 1: 206.0000 cents 206.0000 2: 277.0000 cents 277.0000 3: 222.0000 cents 222.0000 4: 139.0000 cents 139.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.00000 cents 1: 1 206.00000 cents 1: 1 222.00000 cents 1: 1 277.00000 cents 2: 1 345.00000 cents 2: 1 361.00000 cents 2: 1 483.00000 cents 2: 1 499.00000 cents 3: 1 567.00000 cents 3: 1 622.00000 cents 3: 1 638.00000 cents 3: 1 705.00000 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 : 206.0 483.0 705.0 844.0 206.0: 277.0 499.0 638.0 844.0 483.0: 222.0 361.0 567.0 844.0 705.0: 139.0 345.0 622.0 844.0 844.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.0000 .. 277.0000 cents 138.00000 cents 139.00000 cents 2: 345.0000 .. 499.0000 cents 154.00000 cents 68.00000 cents 3: 567.0000 .. 705.0000 cents 138.00000 cents 68.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 139.00000 cents, class 1 Average step (divided formal octave): 211.0000 cents Largest one step interval : 277.00000 cents Average / Smallest step : 1.517986 Largest / Average step : 1.312796 Largest / Smallest step : 1.992806 Median interval of one step : 214.00000 cents, amount: 0 Least squares average step : 222.10000 cents, oct.: 888.40000 cents Scale is strictly proper Scale is a mode of a 844-tone equal temperament with octave 844.000 cents degrees: 206 483 705 844 Least number of segments generator : 423 of 423.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 527 of 527.000 cents and inv. generated superset size: 90 = 86 more = 2250.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : BDCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 68.00000 cents Scale diversity : 1.654127 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.490521 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 : 1, average 705.0000 cents Number of recognisable fourths : 2, average 491.0000 cents Number of appreciable fourths : 1, average 499.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 138.0000 cents: 3 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 47.2493 c. M: 72.0000 c. 5: 1 2 1 1 P M ME SD: 26.5492 c. M: 37.2000 c. 7: 2 2 2 1 SP M ME SD: 19.8440 c. M:-35.1429 c. 11: 3 3 3 2 SP M ME SD: 18.0700 c. M:-24.1818 c. 12: 3 4 3 2 SP D3 SD: 5.3593 c. M:-9.3333 c. Bi Yu: China 30: 7 10 8 5 SP SD: 5.1814 c. M: 9.0667 c. 32: 8 10 9 5 SP SD: 5.9964 c. M: 8.2500 c. 33: 8 11 9 5 SP SD: 5.7936 c. M:-11.1212 c. 37: 9 12 10 6 SP SD: 2.2824 c. M: 3.9730 c. 42: 10 14 11 7 SP SD: 2.6817 c. M: 5.0476 c. 49: 12 16 13 8 SP SD: 0.7813 c. M:-1.2041 c. 103: 25 34 27 17 SP SD: 0.6347 c. M: 1.1456 c. 110: 27 36 29 18 SP SD: 0.7572 c. M:-1.1636 c. 140: 34 46 37 23 SP SD: 0.6492 c. M: 1.0286 c. 152: 37 50 40 25 SP SD: 0.2939 c. M: 0.5526 c. 201: 49 66 53 33 SP SD: 0.2561 c. M:-0.4328 c. 213: 52 70 56 35 SP SD: 0.2626 c. M:-0.4178 c. 262: 64 86 69 43 SP SD: 0.2748 c. M:-0.4809 c. 353: 86 116 93 58 SP SD: 0.2506 c. M: 0.3796 c. 365: 89 120 96 60 SP SD: 0.2153 c. M:-0.2767 c. 414: 101 136 109 68 SP SD: 0.2080 c. M:-0.3720 c. 430: 105 141 113 71 SP SD: 0.2003 c. M: 0.3581 c. 479: 117 157 126 79 SP SD: 0.1641 c. M: 0.2109 c. 570: 139 187 150 94 SP SD: 0.1954 c. M: 0.2912 c. 577: 141 189 152 95 SP SD: 0.1936 c. M: 0.2964 c. 582: 142 191 153 96 SP SD: 0.1237 c. M: 0.2165 c. 631: 154 207 166 104 SP SD: 0.0886 c. M: 0.1410 c. 643: 157 211 169 106 SP SD: 0.0801 c. M: 0.1353 c. 692: 169 227 182 114 SP SD: 0.0646 c. M:-0.1214 c. 783: 191 257 206 129 SP SD: 0.0815 c. M: 0.1201 c. 795: 194 261 209 131 SP SD: 0.0482 c. M: 0.0742 c. 844: 206 277 222 139 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 356.0000 cents 2 x x 3 x S SD: 3.0450 cents 3 x 4 x 5 S SD: 21.5359 cents 4 x 5:6:7 S SD: 52.6403 cents 5:6:7 x 8 S SD: 50.3795 cents 6:7:8:9:10 H SD: 18.6576 cents 7:8:9 x 11 SD: 27.3108 cents 8:9:11:12:13 SD: 17.1264 cents 10:11:13:15:16 SD: 14.6575 cents 14:16:19:21:23 SD: 13.6221 cents 15:17:20:23:24 SD: 12.4621 cents 16:18:21:24:26 S SD: 3.3072 cents 38:43:50:57:62 SD: 3.0407 cents 40:45:53:60:65 SD: 1.6443 cents 56:63:74:84:91 SD: 1.2730 cents 78:88:103:117:127 SD: 1.1220 cents 102:115:135:153:166 SD: 1.0600 cents 118:133:156:177:192 SD: 0.8736 cents 127:143:168:191:207 SD: 0.6854 cents 143:161:189:215:233 SD: 0.4285 cents 183:206:242:275:298 SD: 0.3308 cents 199:224:263:299:324 SD: 0.2918 cents 261:294:345:392:425 SD: 0.2128 cents 388:437:513:583:632 SD: 0.2033 cents 404:455:534:607:658 SD: 0.1371 cents