Scala analysis: Vietnam_Ho_Mai_Nhi
Ho Mai Nhi (Dan Tranh), Vietnam
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 166.000 cents 166.000000 2: 513.000 cents 513.000000 3: 695.000 cents 695.000000 4: 859.000 cents 859.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 341.0000 cents 341.0000 1: 166.0000 cents 166.0000 2: 347.0000 cents 347.0000 3: 182.0000 cents 182.0000 4: 164.0000 cents 164.0000 5: 341.0000 cents 341.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 164.00000 cents 1: 1 166.00000 cents 1: 1 182.00000 cents 1: 1 341.00000 cents 1: 1 347.00000 cents 2: 1 346.00000 cents 2: 1 505.00000 cents 2: 1 507.00000 cents 2: 1 513.00000 cents 2: 1 529.00000 cents 3: 1 671.00000 cents 3: 1 687.00000 cents 3: 1 693.00000 cents 3: 1 695.00000 cents 3: 1 854.00000 cents 4: 1 853.00000 cents 4: 1 859.00000 cents 4: 1 1018.00000 cents 4: 1 1034.00000 cents 4: 1 1036.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 166.0 513.0 695.0 859.0 1200.0 166.0 : 347.0 529.0 693.0 1034.0 1200.0 513.0 : 182.0 346.0 687.0 853.0 1200.0 695.0 : 164.0 505.0 671.0 1018.0 1200.0 859.0 : 341.0 507.0 854.0 1036.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 164.0000 .. 347.0000 cents 183.00000 cents 164.00000 cents 2: 346.0000 .. 529.0000 cents 183.00000 cents -1.00000 cents 3: 671.0000 .. 854.0000 cents 183.00000 cents 142.00000 cents 4: 853.0000 .. 1036.0000 cents 183.00000 cents -1.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 164.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 347.00000 cents Average / Smallest step : 1.463415 Largest / Average step : 1.445833 Largest / Smallest step : 2.115854 Median interval of one step : 182.00000 cents, amount: 1 Least squares average step : 231.14545 cents, oct.: 1155.72727 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 166 513 695 859 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 857 of 857.000 cents and inv. generated superset size: 104 = 99 more = 2080.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BECAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.00000 cents Scale diversity : 1.307371 Lumma stability : 0.391667 Lumma impropriety factor : 0.001667 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 691.6667 cents Number of appreciable fifths : 2, average 694.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 181.0000 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 58.9763 c. M:-101.0000 c. 6: 1 2 0 1 2 N T3 SD: 65.1629 c. M: 95.0000 c. 7: 1 2 1 1 2 P M ME S SD: 4.9152 c. M: 9.2857 c. Thai mode 5 38: 5 11 6 5 11 P T3 SD: 5.7651 c. M: 8.1053 c. 43: 6 12 7 6 12 SP T3 SD: 5.6672 c. M: 10.6744 c. 45: 6 13 7 6 13 P T3 SD: 4.7117 c. M: 6.3333 c. 50: 7 14 8 7 14 SP T3 SD: 4.7117 c. M: 9.0000 c. 52: 7 15 8 7 15 P T3 SD: 4.0469 c. M: 5.3077 c. 59: 8 17 9 8 17 P T3 SD: 3.6345 c. M: 4.7627 c. 66: 9 19 10 9 19 P T3 SD: 3.3896 c. M: 4.4545 c. 73: 10 21 11 10 21 P T3 SD: 3.2555 c. M: 4.5890 c. 78: 11 22 12 11 22 SP T3 SD: 3.2342 c. M: 5.3077 c. 80: 11 23 12 11 23 P T3 SD: 3.1937 c. M: 5.0000 c. 81: 11 24 12 11 23 N SD: 2.8784 c. M:-5.5185 c. 88: 12 26 13 12 25 N SD: 2.5555 c. M:-5.1818 c. 92: 13 26 14 13 26 SP T3 SD: 3.1110 c. M: 4.3043 c. 93: 13 27 14 13 26 P SD: 3.0463 c. M:-5.5161 c. 95: 13 28 14 13 27 N SD: 2.3338 c. M:-4.8947 c. 99: 14 28 15 14 28 SP T3 SD: 3.1069 c. M: 4.0909 c. 100: 14 29 15 14 28 P SD: 2.7928 c. M:-5.0000 c. 102: 14 30 15 14 29 N SD: 2.1945 c. M:-4.6471 c. 103: 14 30 16 14 29 P SD: 2.6299 c. M:-4.0291 c. 107: 15 31 16 15 30 P SD: 2.6119 c. M:-4.5514 c. 109: 15 32 16 15 31 N SD: 2.1205 c. M:-4.4312 c. 110: 15 32 17 15 31 P SD: 2.1784 c. M:-3.1818 c. 116: 16 34 17 16 33 N SD: 2.0959 c. M:-4.2414 c. 117: 16 34 18 16 33 P SD: 1.7894 c. M:-2.5385 c. 124: 17 36 19 17 35 P SD: 1.4563 c. M:-2.2903 c. 131: 18 38 20 18 37 P SD: 1.1766 c. M:-2.0687 c. 138: 19 40 21 19 39 P SD: 0.9524 c. M:-1.8696 c. 145: 20 42 22 20 41 P SD: 0.7910 c. M:-1.6897 c. 152: 21 44 23 21 43 P SD: 0.7026 c. M:-1.5263 c. 159: 22 46 24 22 45 P SD: 0.6896 c. M:-1.3774 c. 166: 23 48 25 23 47 P SD: 0.7380 c. M:-1.2410 c. 211: 29 61 32 29 60 P SD: 0.8804 c. M: 1.1611 c. 267: 37 77 41 36 76 P SD: 0.8341 c. M:-1.6292 c. 274: 38 79 42 37 78 P SD: 0.7375 c. M:-1.3504 c. 281: 39 81 43 38 80 P SD: 0.6604 c. M:-1.0854 c. 288: 40 83 44 39 82 P SD: 0.6055 c. M:-0.8333 c. 295: 41 85 45 40 84 P SD: 0.5748 c. M:-0.7797 c. 302: 42 87 46 41 86 P SD: 0.5684 c. M:-0.8874 c. 363: 50 105 55 50 103 P SD: 0.5899 c. M: 0.7851 c. 376: 52 109 57 51 107 N SD: 0.5449 c. M:-0.8298 c. 383: 53 111 58 52 109 N SD: 0.5070 c. M:-0.8381 c. 390: 54 113 59 53 111 N SD: 0.4853 c. M:-0.8462 c. 397: 55 115 60 54 113 N SD: 0.4799 c. M:-0.8539 c. 419: 58 121 64 57 119 P SD: 0.4603 c. M:-0.9427 c. 426: 59 123 65 58 121 P SD: 0.3919 c. M:-0.7746 c. 433: 60 125 66 59 123 P SD: 0.3340 c. M:-0.6120 c. 440: 61 127 67 60 125 P SD: 0.2903 c. M:-0.4545 c. 447: 62 129 68 61 127 P SD: 0.2656 c. M:-0.4430 c. 454: 63 131 69 62 129 P SD: 0.2628 c. M:-0.5198 c. 587: 81 170 89 80 167 N SD: 0.2626 c. M: 0.4123 c. 592: 82 171 90 81 168 P SD: 0.2673 c. M:-0.4595 c. 594: 82 172 90 81 169 N SD: 0.2487 c. M: 0.4141 c. 599: 83 173 91 82 170 P SD: 0.2490 c. M:-0.4324 c. 601: 83 174 91 82 171 N SD: 0.2482 c. M: 0.4309 c. 606: 84 175 92 83 172 P SD: 0.2438 c. M:-0.4059 c. 613: 85 177 93 84 174 P SD: 0.2515 c. M:-0.3948 c. 658: 91 190 100 90 187 P SD: 0.2531 c. M: 0.5380 c. 725: 100 210 110 99 206 N SD: 0.2344 c. M: 0.4828 c. 732: 101 212 111 100 208 N SD: 0.2009 c. M: 0.4262 c. 739: 102 214 112 101 210 N SD: 0.1751 c. M: 0.3708 c. 746: 103 216 113 102 212 N SD: 0.1600 c. M: 0.3164 c. 753: 104 218 114 103 214 N SD: 0.1577 c. M: 0.2629 c. 905: 125 262 137 124 257 N SD: 0.1874 c. M: 0.2541 c. 975: 135 282 148 133 277 N SD: 0.2148 c. M:-0.3846 c. 982: 136 284 149 134 279 N SD: 0.1985 c. M:-0.3157 c. 989: 137 286 150 135 281 N SD: 0.1878 c. M:-0.2477 c. 996: 138 288 151 136 283 N SD: 0.1834 c. M:-0.2651 c. 1020: 141 295 155 139 290 N SD: 0.1643 c. M:-0.2941 c. 1027: 142 297 156 140 292 N SD: 0.1389 c. M:-0.2288 c. 1034: 143 299 157 141 294 N SD: 0.1185 c. M: 0.1992 c. 1041: 144 301 158 142 296 N SD: 0.1053 c. M: 0.2104 c. 1048: 145 303 159 143 298 N SD: 0.1019 c. M: 0.2214 c. 1179: 163 341 179 161 335 N SD: 0.0875 c. M:-0.1654 c. 1186: 164 343 180 162 337 N SD: 0.0580 c. M:-0.1096 c. 1193: 165 345 181 163 339 N SD: 0.0288 c. M:-0.0545 c. 1200: 166 347 182 164 341 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 3.4775 cents 3 x 4 x 5:6 S SD: 9.8133 cents 4 x 5:6:7:8 S SD: 41.9520 cents 5:6:7 x 8:10 S SD: 42.7769 cents 6:7:8:9:10:12 S SD: 21.0618 cents 8:9:11:12:13:16 SD: 11.4805 cents 11:12:15:16:18:22 SD: 10.9473 cents 12:13:16:18:20:24 SD: 8.1666 cents 17:19:23:25:28:34 SD: 7.9557 cents 18:20:24:27:30:36 S SD: 6.8824 cents 20:22:27:30:33:40 SD: 2.4951 cents 49:54:66:73:80:98 SD: 2.3857 cents 50:55:67:75:82:100 SD: 1.9585 cents 58:64:78:87:95:116 SD: 1.9027 cents 59:65:79:88:97:118 SD: 1.6993 cents 61:67:82:91:100:122 SD: 1.1044 cents 79:87:106:118:130:158 SD: 1.0640 cents 81:89:109:121:133:162 SD: 0.6296 cents 140:154:188:209:230:280 SD: 0.6273 cents 148:163:199:221:243:296 SD: 0.3160 cents 168:185:226:251:276:336 SD: 0.2157 cents 229:252:308:342:376:458 SD: 0.1767 cents 249:274:335:372:409:498 SD: 0.1465 cents 397:437:534:593:652:794 SD: 0.0933 cents