Scala analysis: DR_Congo_Flute
Flute (Flute), DR Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 204.000 cents 204.000000 2: 411.000 cents 411.000000 3: 710.000 cents 710.000000 4: 1000.000 cents 1000.000000 5: 1206.000 cents 1206.000000 6: 1409.000 cents 1409.000000 7: 1918.000 cents 1918.000000 8: 2321.000 cents 2321.000000
SHOW/INTERVAL
0: 403.0000 cents 403.0000 1: 204.0000 cents 204.0000 2: 207.0000 cents 207.0000 3: 299.0000 cents 299.0000 4: 290.0000 cents 290.0000 5: 206.0000 cents 206.0000 6: 203.0000 cents 203.0000 7: 509.0000 cents 509.0000 8: 403.0000 cents 403.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 203.00000 cents 1: 1 204.00000 cents 1: 1 206.00000 cents 1: 1 207.00000 cents 1: 1 290.00000 cents 1: 1 299.00000 cents 1: 1 403.00000 cents 1: 1 509.00000 cents 2: 1 409.00000 cents 2: 1 411.00000 cents 2: 1 496.00000 cents 2: 1 506.00000 cents 2: 1 589.00000 cents 2: 1 607.00000 cents 2: 1 712.00000 cents 2: 1 912.00000 cents 3: 1 699.00000 cents 3: 1 710.00000 cents 3: 1 795.00000 cents 3: 1 796.00000 cents 3: 1 814.00000 cents 3: 1 918.00000 cents 3: 1 1115.00000 cents 3: 1 1116.00000 cents 4: 1 998.00000 cents 4: 1 1000.00000 cents 4: 1 1002.00000 cents 4: 1 1113.00000 cents 4: 1 1208.00000 cents 4: 1 1319.00000 cents 4: 1 1321.00000 cents 4: 1 1323.00000 cents 5: 1 1205.00000 cents 5: 1 1206.00000 cents 5: 1 1403.00000 cents 5: 1 1507.00000 cents 5: 1 1525.00000 cents 5: 1 1526.00000 cents 5: 1 1611.00000 cents 5: 1 1622.00000 cents 6: 1 1409.00000 cents 6: 1 1609.00000 cents 6: 1 1714.00000 cents 6: 1 1732.00000 cents 6: 1 1815.00000 cents 6: 1 1825.00000 cents 6: 1 1910.00000 cents 6: 1 1912.00000 cents 7: 1 1812.00000 cents 7: 1 1918.00000 cents 7: 1 2022.00000 cents 7: 1 2031.00000 cents 7: 1 2114.00000 cents 7: 1 2115.00000 cents 7: 1 2117.00000 cents 7: 1 2118.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 204.0 411.0 710.0 1000.0 1206.0 1409.0 1918.0 2321.0 204.0 : 207.0 506.0 796.0 1002.0 1205.0 1714.0 2117.0 2321.0 411.0 : 299.0 589.0 795.0 998.0 1507.0 1910.0 2114.0 2321.0 710.0 : 290.0 496.0 699.0 1208.0 1611.0 1815.0 2022.0 2321.0 1000.0: 206.0 409.0 918.0 1321.0 1525.0 1732.0 2031.0 2321.0 1206.0: 203.0 712.0 1115.0 1319.0 1526.0 1825.0 2115.0 2321.0 1409.0: 509.0 912.0 1116.0 1323.0 1622.0 1912.0 2118.0 2321.0 1918.0: 403.0 607.0 814.0 1113.0 1403.0 1609.0 1812.0 2321.0 2321.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 203.0000 .. 509.0000 cents 306.00000 cents 203.00000 cents 2: 409.0000 .. 912.0000 cents 503.00000 cents -100.00000 cents 3: 699.0000 .. 1116.0000 cents 417.00000 cents -213.00000 cents 4: 998.0000 .. 1323.0000 cents 325.00000 cents -118.00000 cents 5: 1205.0000 .. 1622.0000 cents 417.00000 cents -118.00000 cents 6: 1409.0000 .. 1912.0000 cents 503.00000 cents -213.00000 cents 7: 1812.0000 .. 2118.0000 cents 306.00000 cents -100.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 203.00000 cents, class 1 Average step (divided formal octave): 290.1250 cents Largest one step interval : 509.00000 cents Average / Smallest step : 1.429187 Largest / Average step : 1.754416 Largest / Smallest step : 2.507389 Median interval of one step : 248.50000 cents, amount: 0 Least squares average step : 262.91176 cents, oct.: 2103.29412 cents Scale is not proper Scale is a mode of a 2321-tone equal temperament with octave 2321.000 cents degrees: 204 411 710 1000 1206 1409 1918 2321 Least number of segments generator : 1161 of 1161.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1211 of 1211.000 cents and inv. generated superset size: 380 = 372 more = 4750.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGH Step pattern size order : BDFECAHG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity :-0.037494 Lumma stability : 0.174925 Lumma impropriety factor : 0.371392 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 707.0000 cents Number of recognisable fourths : 3, average 503.6667 cents Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
8: 1 0 1 1 1 1 2 1 N T3 SD: 95.0063 c. M: 129.7500 c. 10: 1 1 1 1 1 1 2 2 N D3 S SD: 43.3283 c. M: 71.6000 c. 12: 1 1 2 1 1 1 3 2 N SD: 37.4145 c. M:-63.6667 c. 16: 1 2 2 2 1 2 3 3 N SD: 34.2242 c. M: 58.9375 c. 17: 1 2 2 2 2 1 4 3 N SD: 34.8860 c. M: 67.4706 c. 19: 2 1 3 2 2 2 4 3 N SD: 34.3973 c. M:-56.8947 c. 21: 2 2 2 3 2 2 4 4 N SD: 27.1067 c. M: 46.8571 c. 23: 2 2 3 3 2 2 5 4 N SD: 4.9296 c. M:-9.1304 c. 56: 5 5 7 7 5 5 12 10 N SD: 5.3333 c. M: 11.4643 c. 79: 7 7 10 10 7 7 17 14 N SD: 3.5466 c. M: 8.3165 c. 91: 8 8 12 11 8 8 20 16 N SD: 4.6154 c. M: 7.2418 c. 102: 9 9 13 13 9 9 22 18 N SD: 2.9980 c. M: 6.5882 c. 114: 10 10 15 14 10 10 25 20 N SD: 3.2586 c. M: 4.7807 c. 125: 11 11 16 16 11 11 27 22 N SD: 2.9310 c. M: 5.4960 c. 137: 12 12 18 17 12 12 30 24 N SD: 2.5838 c. M: 4.4015 c. 160: 14 14 21 20 14 14 35 28 N SD: 2.3244 c. M: 4.8250 c. 179: 16 16 23 22 16 16 39 31 N SD: 2.7356 c. M:-4.3464 c. 181: 16 16 23 23 16 16 40 31 N SD: 2.6691 c. M:-5.4807 c. 183: 16 16 24 23 16 16 40 32 N SD: 2.2992 c. M: 5.1421 c. 190: 17 17 24 24 17 16 42 33 N SD: 2.8761 c. M:-4.3368 c. 191: 17 17 24 24 17 17 42 33 N SD: 2.8297 c. M: 5.1937 c. 193: 17 17 25 24 17 17 42 34 N SD: 2.7022 c. M: 5.8808 c. 196: 17 18 25 24 18 17 43 34 N SD: 2.5271 c. M: 5.2857 c. 202: 18 18 26 25 18 18 44 35 N SD: 2.2372 c. M:-4.2822 c. 208: 18 19 27 26 18 18 46 36 N SD: 2.7480 c. M:-4.2788 c. 209: 18 19 27 26 19 18 46 36 N SD: 2.4970 c. M:-4.4737 c. 213: 19 19 27 27 19 18 47 37 N SD: 2.5356 c. M:-3.5352 c. 214: 19 19 27 27 19 19 47 37 N SD: 2.3426 c. M: 5.0234 c. 219: 19 20 28 27 20 19 48 38 N SD: 1.9932 c. M: 3.7717 c. 225: 20 20 29 28 20 20 49 39 N SD: 1.9595 c. M:-4.2311 c. 241: 21 22 31 30 21 21 53 42 N SD: 2.1765 c. M:-3.1203 c. 242: 21 22 31 30 22 21 53 42 N SD: 1.6604 c. M: 2.5909 c. 248: 22 22 32 31 22 22 54 43 N SD: 1.8489 c. M:-4.1895 c. 260: 23 23 34 32 23 23 57 45 N SD: 1.7205 c. M:-4.1538 c. 264: 23 24 34 33 23 23 58 46 N SD: 1.8538 c. M: 2.3333 c. 265: 23 24 34 33 24 23 58 46 N SD: 1.5004 c. M:-2.6717 c. 288: 25 26 37 36 26 25 63 50 N SD: 1.4749 c. M:-2.8542 c. 295: 26 26 38 37 26 26 65 51 N SD: 1.4359 c. M: 2.2271 c. 316: 28 28 41 39 28 28 69 55 N SD: 1.3499 c. M:-2.4589 c. 321: 28 29 41 40 29 28 70 56 N SD: 1.4686 c. M: 2.1869 c. 323: 28 29 42 40 29 28 71 56 N SD: 1.3836 c. M: 2.7988 c. 339: 30 30 44 42 30 30 74 59 N SD: 1.1293 c. M:-2.0472 c. 344: 30 31 44 43 31 30 75 60 N SD: 1.3666 c. M: 1.8256 c. 346: 30 31 45 43 31 30 76 60 N SD: 1.3558 c. M: 2.7572 c. 356: 31 32 46 44 32 31 78 62 N SD: 1.2418 c. M: 2.4916 c. 362: 32 32 47 45 32 32 79 63 N SD: 1.0221 c. M:-1.6878 c. 379: 33 34 49 47 34 33 83 66 N SD: 1.0766 c. M: 1.9077 c. 385: 34 34 50 48 34 34 84 67 N SD: 1.0157 c. M:-1.6857 c. 402: 35 36 52 50 36 35 88 70 N SD: 1.0052 c. M: 1.9229 c. 422: 37 38 54 53 37 37 93 73 N SD: 1.0753 c. M:-1.5000 c. 425: 37 38 55 53 38 37 93 74 N SD: 1.0141 c. M: 1.9365 c. 445: 39 40 57 56 39 39 98 77 N SD: 0.9836 c. M:-1.4202 c. 468: 41 42 60 59 41 41 103 81 N SD: 0.9627 c. M:-1.7991 c. 496: 44 44 64 62 44 43 109 86 N SD: 1.1201 c. M:-1.8952 c. 497: 44 44 64 62 44 44 109 86 N SD: 0.9745 c. M:-1.4809 c. 501: 44 45 64 63 44 44 110 87 N SD: 0.8846 c. M: 1.4890 c. 524: 46 47 67 66 46 46 115 91 N SD: 0.8192 c. M: 1.2977 c. 547: 48 49 70 69 48 48 120 95 N SD: 0.8131 c. M: 1.3949 c. 560: 49 50 72 70 50 49 123 97 N SD: 0.8047 c. M: 1.2661 c. 581: 51 52 75 72 52 51 127 101 N SD: 0.7852 c. M: 1.2909 c. 593: 52 53 76 74 53 52 130 103 N SD: 0.9129 c. M: 1.9309 c. 598: 53 53 77 75 53 52 131 104 N SD: 0.9099 c. M:-1.7074 c. 599: 53 53 77 75 53 53 131 104 N SD: 0.8494 c. M:-1.4240 c. 604: 53 54 78 75 54 53 132 105 N SD: 0.7067 c. M:-1.2765 c. 616: 54 55 79 77 55 54 135 107 N SD: 0.8308 c. M: 1.6429 c. 627: 55 56 81 78 56 55 137 109 N SD: 0.6804 c. M:-1.3684 c. 639: 56 57 82 80 57 56 140 111 N SD: 0.7925 c. M: 1.7136 c. 650: 57 58 84 81 58 57 142 113 N SD: 0.7008 c. M:-1.4538 c. 670: 59 60 86 84 59 59 147 116 N SD: 0.8232 c. M:-1.2373 c. 673: 59 60 87 84 60 59 147 117 N SD: 0.7558 c. M:-1.5334 c. 674: 59 60 87 84 60 59 148 117 N SD: 0.8066 c. M: 1.3501 c. 680: 60 60 88 85 60 60 149 118 N SD: 0.7420 c. M: 1.4118 c. 687: 60 62 88 86 61 60 151 119 N SD: 0.7325 c. M: 1.2926 c. 697: 61 62 90 87 62 61 153 121 N SD: 0.7701 c. M: 1.4118 c. 703: 62 62 91 88 62 62 154 122 N SD: 0.7688 c. M: 1.6060 c. 704: 62 63 90 88 63 61 155 122 N SD: 0.8965 c. M: 1.2344 c. 705: 62 63 91 88 62 62 155 122 N SD: 0.8033 c. M:-1.3518 c. 706: 62 63 91 88 63 62 154 123 N SD: 0.7388 c. M: 1.3669 c. 710: 62 64 91 89 63 62 156 123 N SD: 0.7020 c. M: 1.3211 c. 718: 63 64 93 89 64 63 157 125 N SD: 0.7380 c. M:-1.1699 c. 726: 64 65 93 91 64 64 159 126 N SD: 0.7230 c. M:-1.4091 c. 733: 64 66 94 92 65 64 161 127 N SD: 0.7080 c. M: 1.3479 c. 741: 65 66 96 92 66 65 162 129 N SD: 0.6815 c. M: 1.0607 c. 761: 67 68 98 95 67 67 167 132 N SD: 0.6139 c. M: 1.2760 c. 764: 67 68 99 95 68 67 167 133 N SD: 0.6610 c. M: 1.0484 c. 766: 67 69 98 96 68 67 168 133 N SD: 0.6236 c. M:-1.0836 c. 784: 69 70 101 98 69 69 172 136 N SD: 0.5432 c. M: 1.0931 c. 807: 71 72 104 101 71 71 177 140 N SD: 0.5113 c. M: 0.9207 c. 847: 74 76 109 106 75 74 186 147 N SD: 0.4969 c. M: 1.2208 c. 857: 75 77 110 107 76 75 188 149 N SD: 0.6354 c. M: 0.8786 c. 863: 76 77 111 108 76 76 189 150 N SD: 0.5169 c. M: 1.1240 c. 870: 76 78 112 109 77 76 191 151 N SD: 0.5117 c. M: 1.2460 c. 875: 77 78 113 109 78 76 192 152 N SD: 0.4990 c. M:-0.9200 c. 876: 77 78 113 109 78 77 192 152 N SD: 0.4951 c. M: 1.1221 c. 886: 78 79 114 111 78 78 194 154 N SD: 0.4920 c. M: 0.9661 c. 898: 79 80 116 112 80 78 197 156 N SD: 0.4910 c. M:-1.0234 c. 899: 79 80 116 112 80 79 197 156 N SD: 0.4421 c. M: 0.8598 c. 903: 79 81 116 113 80 79 198 157 N SD: 0.5128 c. M: 0.9446 c. 909: 80 81 117 114 80 80 199 158 N SD: 0.5002 c. M:-0.9153 c. 922: 81 82 119 115 82 81 202 160 N SD: 0.4249 c. M:-0.7180 c. 926: 81 83 119 116 82 81 203 161 N SD: 0.4971 c. M: 0.9752 c. 945: 83 84 122 118 84 83 207 164 N SD: 0.4424 c. M: 0.8339 c. 1003: 88 90 129 125 89 88 220 174 N SD: 0.4416 c. M:-0.9023 c. 1010: 89 90 130 126 90 88 222 175 N SD: 0.4415 c. M:-0.8465 c. 1026: 90 92 132 128 91 90 225 178 N SD: 0.3688 c. M:-0.7173 c. 1033: 91 92 133 129 92 90 227 179 N SD: 0.4020 c. M:-0.8132 c. 1049: 92 94 135 131 93 92 230 182 N SD: 0.3244 c. M:-0.5405 c. 1072: 94 96 138 134 95 94 235 186 N SD: 0.3151 c. M:-0.4879 c. 1112: 98 99 143 139 99 97 244 193 N SD: 0.2991 c. M:-0.5486 c. 1135: 100 101 146 142 101 99 249 197 N SD: 0.2950 c. M:-0.5110 c. 1170: 103 104 151 146 104 102 257 203 N SD: 0.2940 c. M: 0.5299 c. 1186: 104 106 153 148 105 104 260 206 N SD: 0.2823 c. M: 0.4890 c. 1209: 106 108 156 151 107 106 265 210 N SD: 0.2751 c. M: 0.5045 c. 1249: 110 111 161 156 111 109 274 217 N SD: 0.2705 c. M: 0.4187 c. 1272: 112 113 164 159 113 111 279 221 N SD: 0.2675 c. M: 0.4458 c. 1694: 149 151 218 212 150 148 372 294 N SD: 0.2518 c. M: 0.5065 c. 1717: 151 153 221 215 152 150 377 298 N SD: 0.2486 c. M: 0.4490 c. 1761: 155 157 227 220 156 154 386 306 N SD: 0.2559 c. M:-0.4026 c. 1774: 156 158 229 221 158 155 389 308 N SD: 0.2507 c. M:-0.4301 c. 1797: 158 160 232 224 160 157 394 312 N SD: 0.2389 c. M:-0.3784 c. 1876: 165 167 242 234 167 164 411 326 N SD: 0.2333 c. M: 0.3369 c. 1896: 167 169 244 237 168 166 416 329 N SD: 0.2273 c. M:-0.4341 c. 1899: 167 169 245 237 169 166 416 330 N SD: 0.2390 c. M:-0.3333 c. 1913: 168 171 246 239 170 167 420 332 N SD: 0.2306 c. M: 0.3847 c. 1919: 169 171 247 240 170 168 421 333 N SD: 0.2106 c. M:-0.4028 c. 1936: 170 173 249 242 172 169 425 336 N SD: 0.2020 c. M: 0.3352 c. 1942: 171 173 250 243 172 170 426 337 N SD: 0.2101 c. M:-0.3723 c. 1959: 172 175 252 245 174 171 430 340 N SD: 0.1889 c. M: 0.3119 c. 2057: 181 183 265 257 183 180 451 357 N SD: 0.2379 c. M:-0.2995 c. 2061: 181 184 265 258 183 180 452 358 N SD: 0.2171 c. M: 0.5240 c. 2073: 182 185 267 259 184 181 455 360 N SD: 0.2212 c. M: 0.5012 c. 2079: 183 185 268 260 184 182 456 361 N SD: 0.1933 c. M:-0.3016 c. 2096: 184 187 270 262 186 183 460 364 N SD: 0.2103 c. M: 0.4542 c. 2102: 185 187 271 263 186 184 461 365 N SD: 0.2077 c. M:-0.3930 c. 2138: 188 191 275 267 190 187 469 371 N SD: 0.1968 c. M:-0.4401 c. 2161: 190 193 278 270 192 189 474 375 N SD: 0.1721 c. M:-0.3572 c. 2184: 192 195 281 273 194 191 479 379 N SD: 0.1621 c. M:-0.2761 c. 2207: 194 197 284 276 196 193 484 383 N SD: 0.1683 c. M:-0.2469 c. 2219: 195 198 286 277 197 194 487 385 N SD: 0.1378 c. M:-0.3028 c. 2242: 197 200 289 280 199 196 492 389 N SD: 0.1250 c. M:-0.2930 c. 2275: 200 203 293 284 202 199 499 395 N SD: 0.0997 c. M: 0.1846 c. 2298: 202 205 296 287 204 201 504 399 N SD: 0.0493 c. M: 0.0914 c. 2321: 204 207 299 290 206 203 509 403 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x 3:4 S SD: 26.9453 cents 2 x x 3 x 4:5:6:8 S SD: 39.0073 cents 3 x 4 x 5:6:7:9:11 SD: 28.7345 cents 4 x 5:6:7:8:9:12:15 S SD: 7.8723 cents 5 x 6:8:9:10:11:15:19 SD: 21.4185 cents 6:7:8:9:11:12:14:18:23 SD: 16.6310 cents 7:8:9:11:12:14:16:21:27 SD: 13.7430 cents 8:9:10:12:14:16:18:24:31 SD: 6.3036 cents 14:16:18:21:25:28:32:42:54 SD: 6.1746 cents 15:17:19:23:27:30:34:45:57 SD: 5.3365 cents 18:20:23:27:32:36:41:55:69 SD: 4.5024 cents 22:25:28:33:39:44:50:67:84 SD: 3.4786 cents 23:26:29:35:41:46:52:70:88 SD: 3.0015 cents 31:35:39:47:55:62:70:94:118 SD: 2.7267 cents 32:36:41:48:57:64:72:97:122 SD: 2.7206 cents 33:37:42:50:59:66:74:100:126 SD: 2.3699 cents 38:43:48:57:68:76:86:115:145 SD: 2.2776 cents 40:45:51:60:71:80:90:121:153 SD: 2.0454 cents 41:46:52:62:73:82:93:124:157 SD: 1.7338 cents 49:55:62:74:87:98:111:148:187 SD: 1.6989 cents 55:62:70:83:98:110:124:167:210 SD: 1.3911 cents 63:71:80:95:112:126:142:191:241 SD: 1.1166 cents 79:89:100:119:141:159:178:239:302 SD: 0.9430 cents 96:108:122:145:171:193:217:291:367 SD: 0.9065 cents 97:109:123:146:173:195:219:294:371 SD: 0.6328 cents 105:118:133:158:187:211:237:318:401 SD: 0.5666 cents 120:135:152:181:214:241:271:363:459 SD: 0.5013 cents 142:160:180:214:253:285:320:430:543 SD: 0.4668 cents 152:171:193:229:271:305:343:460:581 SD: 0.3619 cents 160:180:203:241:285:321:361:484:611 SD: 0.3328 cents 183:206:232:276:326:367:413:554:699 SD: 0.2951 cents 239:269:303:360:426:480:539:724:913 SD: 0.2882 cents 247:278:313:372:440:496:557:748:944 SD: 0.2873 cents 257:289:326:387:458:516:580:778:982 SD: 0.2446 cents 280:315:355:422:499:562:632:848:1070 SD: 0.0879 cents 568:639:720:856:1012:1140:1282:1720:2171 SD: 0.0839 cents