Scala analysis: Vietnam_Bac
Bac (Dan Tranh), Vietnam
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: 501.000 cents 501.000000 3: 698.000 cents 698.000000 4: 891.000 cents 891.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 309.0000 cents 309.0000 1: 189.0000 cents 189.0000 2: 312.0000 cents 312.0000 3: 197.0000 cents 197.0000 4: 193.0000 cents 193.0000 5: 309.0000 cents 309.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 189.00000 cents 1: 1 193.00000 cents 1: 1 197.00000 cents 1: 1 309.00000 cents 1: 1 312.00000 cents 2: 1 390.00000 cents 2: 1 498.00000 cents 2: 1 501.00000 cents 2: 1 502.00000 cents 2: 1 509.00000 cents 3: 1 691.00000 cents 3: 1 698.00000 cents 3: 1 699.00000 cents 3: 1 702.00000 cents 3: 1 810.00000 cents 4: 1 888.00000 cents 4: 1 891.00000 cents 4: 1 1003.00000 cents 4: 1 1007.00000 cents 4: 1 1011.00000 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 : 189.0 501.0 698.0 891.0 1200.0 189.0 : 312.0 509.0 702.0 1011.0 1200.0 501.0 : 197.0 390.0 699.0 888.0 1200.0 698.0 : 193.0 502.0 691.0 1003.0 1200.0 891.0 : 309.0 498.0 810.0 1007.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 189.0000 .. 312.0000 cents 123.00000 cents 189.00000 cents 2: 390.0000 .. 509.0000 cents 119.00000 cents 78.00000 cents 3: 691.0000 .. 810.0000 cents 119.00000 cents 182.00000 cents 4: 888.0000 .. 1011.0000 cents 123.00000 cents 78.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 189.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 312.00000 cents Average / Smallest step : 1.269841 Largest / Average step : 1.300000 Largest / Smallest step : 1.650794 Median interval of one step : 197.00000 cents, amount: 1 Least squares average step : 233.61818 cents, oct.: 1168.09091 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 189 501 698 891 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 929 of 929.000 cents and inv. generated superset size: 180 = 175 more = 3600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : AECBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 78.00000 cents Scale diversity : 1.344776 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.596667 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 : 4, average 697.5000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 123.0000 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 40.7112 c. M:-69.0000 c. 7: 1 2 1 1 2 P M ME S SD: 18.8813 c. M: 33.8571 c. Thai mode 5 12: 2 3 2 2 3 SP M ME S SD: 6.4343 c. M:-11.0000 c. Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Arabhi, Devakriya, Durga, Jaldhar Kedar, Suddha Saveri, Major complement 19: 3 5 3 3 5 SP M DE S SD: 3.8767 c. M: 6.7895 c. 31: 5 8 5 5 8 SP M DE S SD: 2.3496 c. M:-4.5484 c. 50: 8 13 8 8 13 SP M DE S SD: 2.4900 c. M:-3.0000 c. 77: 12 20 13 12 20 SP T3 SD: 2.3384 c. M:-3.2987 c. 89: 14 23 15 14 23 SP T3 SD: 1.7641 c. M:-3.1236 c. 101: 16 26 17 16 26 SP T3 SD: 1.6803 c. M:-2.9901 c. 108: 17 28 18 17 28 SP T3 SD: 1.3762 c. M: 2.1111 c. 120: 19 31 20 19 31 SP T3 SD: 1.1832 c. M:-2.0000 c. 139: 22 36 23 22 36 SP T3 SD: 1.0760 c. M: 1.7914 c. 151: 24 39 25 24 39 SP T3 SD: 1.0736 c. M:-1.7285 c. 160: 25 42 26 26 41 SP SD: 1.1832 c. M:-1.5000 c. 170: 27 44 28 27 44 SP T3 SD: 1.0728 c. M:-1.5882 c. 184: 29 48 30 30 47 SP SD: 1.2302 c. M:-2.4783 c. 189: 30 49 31 30 49 SP T3 SD: 1.1959 c. M: 2.1111 c. 191: 30 50 31 31 49 SP SD: 0.9573 c. M:-1.6178 c. 203: 32 53 33 33 52 SP SD: 0.9976 c. M:-1.6108 c. 210: 33 55 34 34 54 SP SD: 0.9540 c. M:-1.8571 c. 222: 35 58 36 36 57 SP SD: 0.9192 c. M:-1.7027 c. 230: 36 60 38 37 59 SP SD: 0.9001 c. M:-1.1739 c. 234: 37 61 38 38 60 SP SD: 1.0028 c. M:-1.5641 c. 237: 37 62 39 38 61 SP SD: 0.8220 c. M: 1.6582 c. 249: 39 65 41 40 64 SP SD: 0.6471 c. M: 1.0482 c. 261: 41 68 43 42 67 SP SD: 0.6165 c. M:-0.9540 c. 268: 42 70 44 43 69 SP SD: 0.5266 c. M: 0.9403 c. 280: 44 73 46 45 72 SP SD: 0.4189 c. M:-0.5714 c. 292: 46 76 48 47 75 SP SD: 0.4786 c. M:-0.7808 c. 299: 47 78 49 48 77 SP SD: 0.3736 c. M:-0.6722 c. 311: 49 81 51 50 80 SP SD: 0.3547 c. M:-0.6077 c. 579: 91 151 95 93 149 SP SD: 0.3747 c. M:-0.5544 c. 590: 93 153 97 95 152 SP SD: 0.3529 c. M: 0.6610 c. 591: 93 154 97 95 152 SP SD: 0.3651 c. M:-0.5228 c. 609: 96 158 100 98 157 SP SD: 0.3543 c. M: 0.5074 c. 610: 96 159 100 98 157 SP SD: 0.3413 c. M:-0.6393 c. 634: 100 165 104 102 163 SP SD: 0.4050 c. M:-0.5773 c. 640: 101 166 105 103 165 SP SD: 0.3666 c. M: 0.5000 c. 641: 101 167 105 103 165 SP SD: 0.3497 c. M:-0.7161 c. 700: 110 182 115 113 180 SP SD: 0.3557 c. M:-0.4286 c. 707: 111 184 116 114 182 SP SD: 0.3508 c. M: 0.5983 c. 718: 113 187 118 115 185 SP SD: 0.3406 c. M:-0.6072 c. 719: 113 187 118 116 185 SP SD: 0.2986 c. M: 0.4047 c. 731: 115 190 120 118 188 SP SD: 0.2824 c. M:-0.3817 c. 738: 116 192 121 119 190 SP SD: 0.2746 c. M: 0.4390 c. 750: 118 195 123 121 193 SP SD: 0.2366 c. M: 0.4000 c. 762: 120 198 125 123 196 SP SD: 0.2415 c. M: 0.3622 c. 769: 121 200 126 124 198 SP SD: 0.2298 c. M: 0.4707 c. 781: 123 203 128 126 201 SP SD: 0.2124 c. M: 0.4328 c. 827: 130 215 136 133 213 SP SD: 0.2443 c. M: 0.3954 c. 839: 132 218 138 135 216 SP SD: 0.2045 c. M: 0.4041 c. 846: 133 220 139 136 218 SP SD: 0.2324 c. M: 0.3475 c. 851: 134 221 140 137 219 SP SD: 0.2035 c. M: 0.4125 c. 858: 135 223 141 138 221 SP SD: 0.1697 c. M: 0.3007 c. 870: 137 226 143 140 224 SP SD: 0.1438 c. M: 0.3103 c. 877: 138 228 144 141 226 SP SD: 0.1758 c. M: 0.2360 c. 882: 139 229 145 142 227 SP SD: 0.1684 c. M: 0.3197 c. 889: 140 231 146 143 229 SP SD: 0.1241 c. M: 0.2126 c. 901: 142 234 148 145 232 SP SD: 0.1240 c. M: 0.2231 c. 920: 145 239 151 148 237 SP SD: 0.1275 c. M: 0.1739 c. 1150: 181 299 189 185 296 SP SD: 0.1083 c. M:-0.1304 c. 1169: 184 304 192 188 301 SP SD: 0.0623 c. M: 0.1206 c. 1181: 186 307 194 190 304 SP SD: 0.0624 c. M:-0.1092 c. 1188: 187 309 195 191 306 SP SD: 0.0650 c. M: 0.1111 c. 1200: 189 312 197 193 309 SP 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: 1.9775 cents 3 x 4 x 5:6 S SD: 2.4230 cents 4 x 5:6:7:8 S SD: 34.6640 cents 5:6:7 x 8:10 S SD: 42.3229 cents 6:7:8:9:10:12 S SD: 15.6619 cents 8:9:11:12:13:16 SD: 14.5840 cents 9:10:12:13:15:18 SD: 12.4324 cents 10:11:13:15:17:20 SD: 11.9070 cents 12:13:16:18:20:24 SD: 10.2204 cents 15:17:20:22:25:30 SD: 9.0354 cents 16:18:21:24:27:32 SD: 7.4084 cents 18:20:24:27:30:36 S SD: 2.1165 cents 42:47:56:63:70:84 SD: 2.0126 cents 60:67:80:90:100:120 SD: 1.7045 cents 62:69:83:93:104:124 SD: 1.6298 cents 68:76:91:102:114:136 SD: 1.4448 cents 77:86:103:115:129:154 SD: 1.1093 cents 86:96:115:129:144:172 SD: 0.9784 cents 95:106:127:142:159:190 SD: 0.5636 cents 113:126:151:169:189:226 SD: 0.3229 cents 242:270:323:362:405:484 SD: 0.3212 cents 260:290:347:389:435:520 SD: 0.2764 cents 304:339:406:455:509:608 SD: 0.2741 cents 312:348:417:467:522:624 SD: 0.2457 cents 322:359:430:482:539:644 SD: 0.2402 cents 328:366:438:491:549:656 SD: 0.2391 cents 330:368:441:494:552:660 SD: 0.2351 cents 346:386:462:518:579:692 SD: 0.1860 cents 435:485:581:651:728:870 SD: 0.1631 cents 441:492:589:660:738:882 SD: 0.1228 cents 459:512:613:687:768:918 SD: 0.0629 cents 572:638:764:856:957:1144 SD: 0.0241 cents