Scala analysis: Sudan_Janger_143
143 (Janger), Sudan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 248.000 cents 248.000000 2: 448.000 cents 448.000000 3: 658.000 cents 658.000000 4: 885.000 cents 885.000000 5: 1133.000 cents 1133.000000 6: 1318.000 cents 1318.000000 7: 1589.000 cents 1589.000000 8: 1756.000 cents 1756.000000 9: 2004.000 cents 2004.000000 10: 2389.000 cents 2389.000000 11: 2730.000 cents 2730.000000
SHOW/INTERVAL
0: 341.0000 cents 341.0000 1: 248.0000 cents 248.0000 2: 200.0000 cents 200.0000 3: 210.0000 cents 210.0000 4: 227.0000 cents 227.0000 5: 248.0000 cents 248.0000 6: 185.0000 cents 185.0000 7: 271.0000 cents 271.0000 8: 167.0000 cents 167.0000 9: 248.0000 cents 248.0000 10: 385.0000 cents 385.0000 11: 341.0000 cents 341.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 167.00000 cents 1: 1 185.00000 cents 1: 1 200.00000 cents 1: 1 210.00000 cents 1: 1 227.00000 cents 1: 3 248.00000 cents 1: 1 271.00000 cents 1: 1 341.00000 cents 1: 1 385.00000 cents 2: 1 410.00000 cents 2: 1 415.00000 cents 2: 1 433.00000 cents 2: 1 437.00000 cents 2: 1 438.00000 cents 2: 1 448.00000 cents 2: 1 456.00000 cents 2: 1 475.00000 cents 2: 1 589.00000 cents 2: 1 633.00000 cents 2: 1 726.00000 cents 3: 1 623.00000 cents 3: 1 637.00000 cents 3: 1 658.00000 cents 3: 1 660.00000 cents 3: 1 685.00000 cents 3: 1 686.00000 cents 3: 1 704.00000 cents 3: 1 789.00000 cents 3: 1 800.00000 cents 3: 2 974.00000 cents 4: 1 870.00000 cents 4: 2 871.00000 cents 4: 2 885.00000 cents 4: 1 931.00000 cents 4: 1 999.00000 cents 4: 1 1071.00000 cents 4: 1 1141.00000 cents 4: 1 1174.00000 cents 4: 1 1222.00000 cents 5: 1 1070.00000 cents 5: 1 1098.00000 cents 5: 1 1119.00000 cents 5: 1 1133.00000 cents 5: 1 1141.00000 cents 5: 1 1226.00000 cents 5: 1 1256.00000 cents 5: 1 1384.00000 cents 5: 1 1389.00000 cents 5: 1 1412.00000 cents 5: 1 1422.00000 cents 6: 1 1308.00000 cents 6: 1 1318.00000 cents 6: 1 1341.00000 cents 6: 1 1346.00000 cents 6: 1 1474.00000 cents 6: 1 1504.00000 cents 6: 1 1589.00000 cents 6: 1 1597.00000 cents 6: 1 1611.00000 cents 6: 1 1632.00000 cents 6: 1 1660.00000 cents 7: 1 1508.00000 cents 7: 1 1556.00000 cents 7: 1 1589.00000 cents 7: 1 1659.00000 cents 7: 1 1731.00000 cents 7: 1 1799.00000 cents 7: 2 1845.00000 cents 7: 2 1859.00000 cents 7: 1 1860.00000 cents 8: 2 1756.00000 cents 8: 1 1930.00000 cents 8: 1 1941.00000 cents 8: 1 2026.00000 cents 8: 1 2044.00000 cents 8: 1 2045.00000 cents 8: 1 2070.00000 cents 8: 1 2072.00000 cents 8: 1 2093.00000 cents 8: 1 2107.00000 cents 9: 1 2004.00000 cents 9: 1 2097.00000 cents 9: 1 2141.00000 cents 9: 1 2255.00000 cents 9: 1 2274.00000 cents 9: 1 2282.00000 cents 9: 1 2292.00000 cents 9: 1 2293.00000 cents 9: 1 2297.00000 cents 9: 1 2315.00000 cents 9: 1 2320.00000 cents 10: 1 2345.00000 cents 10: 1 2389.00000 cents 10: 1 2459.00000 cents 10: 3 2482.00000 cents 10: 1 2503.00000 cents 10: 1 2520.00000 cents 10: 1 2530.00000 cents 10: 1 2545.00000 cents 10: 1 2563.00000 cents Highest number of different intervals for one interval class: 11 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 0.0 : 248.0 448.0 658.0 885.0 1133.0 1318.0 1589.0 1756.0 2004.0 2389.0 2730.0 248.0 : 200.0 410.0 637.0 885.0 1070.0 1341.0 1508.0 1756.0 2141.0 2482.0 2730.0 448.0 : 210.0 437.0 685.0 870.0 1141.0 1308.0 1556.0 1941.0 2282.0 2530.0 2730.0 658.0 : 227.0 475.0 660.0 931.0 1098.0 1346.0 1731.0 2072.0 2320.0 2520.0 2730.0 885.0 : 248.0 433.0 704.0 871.0 1119.0 1504.0 1845.0 2093.0 2293.0 2503.0 2730.0 1133.0: 185.0 456.0 623.0 871.0 1256.0 1597.0 1845.0 2045.0 2255.0 2482.0 2730.0 1318.0: 271.0 438.0 686.0 1071.0 1412.0 1660.0 1860.0 2070.0 2297.0 2545.0 2730.0 1589.0: 167.0 415.0 800.0 1141.0 1389.0 1589.0 1799.0 2026.0 2274.0 2459.0 2730.0 1756.0: 248.0 633.0 974.0 1222.0 1422.0 1632.0 1859.0 2107.0 2292.0 2563.0 2730.0 2004.0: 385.0 726.0 974.0 1174.0 1384.0 1611.0 1859.0 2044.0 2315.0 2482.0 2730.0 2389.0: 341.0 589.0 789.0 999.0 1226.0 1474.0 1659.0 1930.0 2097.0 2345.0 2730.0 2730.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 167.0000 .. 385.0000 cents 218.00000 cents 167.00000 cents 2: 410.0000 .. 726.0000 cents 316.00000 cents 25.00000 cents 3: 623.0000 .. 974.0000 cents 351.00000 cents -103.00000 cents 4: 870.0000 .. 1222.0000 cents 352.00000 cents -104.00000 cents 5: 1070.0000 .. 1422.0000 cents 352.00000 cents -152.00000 cents 6: 1308.0000 .. 1660.0000 cents 352.00000 cents -114.00000 cents 7: 1508.0000 .. 1860.0000 cents 352.00000 cents -152.00000 cents 8: 1756.0000 .. 2107.0000 cents 351.00000 cents -104.00000 cents 9: 2004.0000 .. 2320.0000 cents 316.00000 cents -103.00000 cents 10: 2345.0000 .. 2563.0000 cents 218.00000 cents 25.00000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 167.00000 cents, class 1 Average step (divided formal octave): 248.1818 cents Largest one step interval : 385.00000 cents Average / Smallest step : 1.486119 Largest / Average step : 1.551282 Largest / Smallest step : 2.305389 Median interval of one step : 248.00000 cents, amount: 3 Most common interval of one step : 248.00000 cents, amount: 3 Least squares average step : 231.93281 cents, oct.: 2551.26087 cents Scale is not proper Step pattern alph. order: ABCDAEFGAHI Step pattern size order : FCDEFBGAFIH Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity :-0.246022 Lumma stability : 0.140659 Lumma impropriety factor : 0.304762 Rothenberg efficiency : 0.201102 redundancy: 0.798898 Efficiency x scale size : 2.212121 Number of different interval sizes : 98 = 9.80000 / class Number of one step interval sizes : 9 Highest interval variety : 11 Mean interval variety : 10.00000 = 10 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 1.00000 cents Most common intervals : 248.00000 cents & inv., amount: 3 Number of recognisable fifths : 2, average 695.0000 cents Number of appreciable fifths : 1, average 704.0000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 9.0909% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
11: 1 1 1 1 1 0 1 1 1 2 1 N T3 SD: 72.8095 c. M:-107.9091 c. 12: 1 1 1 1 1 1 1 1 1 2 1 P M ME S SD: 45.5337 c. M:-113.5000 c. 14: 1 1 1 1 2 1 1 1 1 2 2 N D3 S SD: 54.1580 c. M: 105.0000 c. 15: 1 1 2 1 1 1 2 1 1 2 2 N D3 S SD: 50.0763 c. M: 84.0000 c. 16: 1 2 1 1 2 1 1 1 2 2 2 N SD: 47.5541 c. M: 77.3750 c. 17: 2 1 1 2 1 1 2 1 2 2 2 N SD: 44.5976 c. M:-83.6471 c. 19: 2 1 2 1 2 1 2 1 2 3 2 N SD: 31.5027 c. M:-60.4211 c. 22: 2 2 1 2 2 2 2 1 2 3 3 N SD: 28.1953 c. M:-48.3636 c. 24: 2 2 2 2 2 2 2 2 2 3 3 P D3 S SD: 30.0368 c. M:-64.0000 c. 25: 2 2 2 2 2 2 2 2 2 4 3 N SD: 27.3592 c. M: 60.2000 c. 29: 3 2 2 2 3 2 3 2 2 4 4 N SD: 23.9854 c. M: 37.7586 c. 31: 3 2 2 3 3 2 3 2 3 4 4 N SD: 16.0861 c. M: 41.5484 c. 33: 3 2 3 3 3 2 3 2 3 5 4 N SD: 18.0354 c. M: 34.3636 c. 34: 3 3 2 3 3 2 4 2 3 5 4 N SD: 17.6453 c. M:-33.7647 c. 41: 4 3 3 3 4 3 4 2 4 6 5 N SD: 13.7945 c. M: 24.7805 c. 48: 4 4 4 4 4 3 5 3 4 7 6 N SD: 13.6656 c. M:-25.0000 c. 50: 5 3 4 4 5 3 5 3 5 7 6 N SD: 12.3648 c. M:-25.0000 c. 53: 5 4 4 4 5 4 5 3 5 7 7 N SD: 11.6654 c. M:-21.2453 c. 56: 5 4 4 5 5 4 5 4 5 8 7 N SD: 12.6444 c. M: 29.0000 c. 58: 5 5 4 5 5 4 6 3 6 8 7 N SD: 12.2196 c. M:-22.6897 c. 62: 6 4 5 5 6 4 6 4 6 8 8 N SD: 10.1188 c. M:-21.4839 c. 64: 6 5 4 6 6 4 6 4 6 9 8 N SD: 11.6556 c. M:-21.2187 c. 65: 6 5 5 5 6 4 7 4 6 9 8 N SD: 9.3225 c. M: 16.0000 c. 67: 6 5 5 6 6 4 7 4 6 10 8 N SD: 8.1891 c. M:-15.0299 c. 74: 7 5 6 6 7 5 7 5 6 11 9 N SD: 8.6990 c. M:-14.8108 c. 75: 7 5 6 6 7 5 8 4 7 11 9 N SD: 8.5714 c. M:-13.4000 c. 79: 7 6 6 7 7 5 8 5 7 11 10 N SD: 5.7425 c. M:-13.4810 c. 87: 8 6 7 7 8 6 9 5 8 12 11 N SD: 5.2525 c. M:-11.3448 c. 98: 9 7 8 8 9 6 10 6 9 14 12 N SD: 5.8429 c. M:-10.5714 c. 99: 9 7 8 8 9 7 10 6 9 14 12 N SD: 6.5680 c. M:-10.3939 c. 103: 9 8 8 8 10 7 10 6 10 14 13 N SD: 6.6628 c. M:-10.3689 c. 108: 10 8 8 9 10 7 11 6 10 16 13 N SD: 6.4733 c. M:-12.3889 c. 110: 10 8 9 9 10 7 11 7 10 15 14 N SD: 6.1745 c. M:-12.0909 c. 112: 10 8 9 9 10 8 11 7 10 16 14 N SD: 5.6491 c. M: 11.7500 c. 118: 11 8 9 10 11 8 12 7 11 16 15 N SD: 6.2199 c. M: 10.2034 c. 120: 11 9 9 10 11 8 12 7 11 17 15 N SD: 3.2900 c. M:-7.0000 c. 154: 14 11 12 13 14 10 16 9 14 22 19 N SD: 3.4496 c. M:-6.4545 c. 163: 15 12 12 14 15 11 16 10 15 23 20 N SD: 4.2722 c. M:-6.0307 c. 166: 15 12 13 14 15 11 17 10 15 23 21 N SD: 3.2023 c. M:-6.2410 c. 176: 16 13 13 15 16 12 17 11 16 25 22 N SD: 3.2154 c. M: 6.8409 c. 184: 17 13 14 16 16 13 18 11 17 26 23 N SD: 3.6446 c. M: 5.3913 c. 185: 17 13 15 15 17 12 19 11 17 26 23 N SD: 3.5525 c. M:-6.0541 c. 188: 17 14 14 16 17 13 18 12 17 27 23 N SD: 3.4067 c. M:-7.0106 c. 191: 17 14 15 16 17 13 19 12 17 27 24 N SD: 2.9843 c. M: 5.0157 c. 207: 19 15 16 17 19 14 20 13 19 29 26 N SD: 2.3648 c. M: 6.3913 c. 221: 20 16 17 19 20 15 22 13 20 31 28 N SD: 3.3594 c. M: 4.8824 c. 222: 20 16 17 19 20 15 22 14 20 31 28 N SD: 3.0679 c. M: 6.2432 c. 224: 20 17 17 19 20 15 22 14 20 32 28 N SD: 3.0444 c. M: 5.2500 c. 225: 20 17 17 19 20 16 22 14 20 32 28 N SD: 2.9594 c. M: 5.3333 c. 232: 21 17 18 19 21 16 23 14 21 33 29 N SD: 1.9029 c. M: 3.5690 c. 263: 24 19 20 22 24 18 26 16 24 37 33 N SD: 1.8224 c. M: 4.0456 c. 275: 25 20 21 23 25 19 27 17 25 39 34 N SD: 1.7631 c. M:-3.4727 c. 294: 27 21 23 24 27 20 29 18 27 41 37 N SD: 1.7739 c. M: 2.8571 c. 311: 28 23 24 26 28 21 31 19 28 44 39 N SD: 1.2913 c. M: 2.5852 c. 354: 32 26 27 30 32 24 35 22 32 50 44 N SD: 1.4161 c. M: 2.4915 c. 361: 33 26 28 30 33 24 36 22 33 51 45 N SD: 1.2040 c. M: 2.1551 c. 395: 36 29 30 33 36 27 39 24 36 56 49 N SD: 1.1704 c. M:-2.3418 c. 426: 39 31 33 35 39 29 42 26 39 60 53 N SD: 1.3602 c. M:-2.1408 c. 431: 39 32 33 36 39 29 43 26 39 61 54 N SD: 1.2905 c. M: 2.4223 c. 462: 42 34 35 39 42 31 46 28 42 65 58 N SD: 1.1626 c. M: 2.0909 c. 474: 43 35 36 40 43 32 47 29 43 67 59 N SD: 1.0997 c. M:-1.9620 c. 505: 46 37 39 42 46 34 50 31 46 71 63 N SD: 1.1920 c. M:-2.2475 c. 518: 47 38 40 43 47 35 51 32 47 73 65 N SD: 1.0964 c. M: 2.6486 c. 530: 48 39 41 44 48 36 53 32 48 75 66 N SD: 1.0475 c. M:-2.6415 c. 561: 51 41 43 47 51 38 56 34 51 79 70 N SD: 0.9399 c. M:-2.2834 c. 568: 52 41 44 47 52 38 57 34 52 80 71 N SD: 1.1577 c. M:-1.9296 c. 571: 52 42 44 47 52 39 56 35 52 81 71 N SD: 1.2019 c. M:-1.7898 c. 572: 52 42 44 47 52 39 57 35 52 81 71 N SD: 1.1331 c. M:-2.1364 c. 574: 52 42 44 48 52 39 57 35 52 81 72 N SD: 1.0332 c. M: 1.6829 c. 586: 53 43 45 49 53 40 58 36 53 83 73 N SD: 0.7240 c. M: 1.1229 c. 617: 56 45 48 51 56 42 61 38 56 87 77 N SD: 0.6143 c. M:-1.2707 c. 706: 64 52 54 59 64 48 70 43 64 100 88 N SD: 0.5502 c. M: 0.9688 c. 737: 67 54 57 61 67 50 73 45 67 104 92 N SD: 0.5056 c. M:-1.3487 c. 768: 70 56 59 64 70 52 76 47 70 108 96 N SD: 0.5353 c. M:-0.9453 c. 959: 87 70 74 80 87 65 95 59 87 135 120 N SD: 0.4634 c. M: 1.0657 c. 1000: 91 73 77 83 91 68 99 61 91 141 125 N SD: 0.3485 c. M: 0.6100 c. 1079: 98 79 83 90 98 73 107 66 98 152 135 N SD: 0.3003 c. M: 0.5663 c. 1311: 119 96 101 109 119 89 130 80 119 185 164 N SD: 0.3477 c. M: 0.7506 c. 1323: 120 97 102 110 120 90 131 81 120 187 165 N SD: 0.3122 c. M:-0.5714 c. 1407: 128 103 108 117 128 95 140 86 128 198 176 N SD: 0.2936 c. M: 0.5373 c. 1419: 129 104 109 118 129 96 141 87 129 200 177 N SD: 0.3213 c. M:-0.6934 c. 1539: 140 113 118 128 140 104 153 94 140 217 192 N SD: 0.3843 c. M:-0.7914 c. 1552: 141 114 119 129 141 105 154 95 141 219 194 N SD: 0.3749 c. M: 0.6044 c. 1561: 142 114 120 130 142 106 155 95 142 220 195 N SD: 0.3670 c. M:-0.7309 c. 1564: 142 115 120 130 142 106 155 96 142 221 195 N SD: 0.3245 c. M:-0.6228 c. 1586: 144 116 122 132 144 108 157 97 144 224 198 N SD: 0.3337 c. M:-0.5246 c. 1617: 147 118 125 134 147 110 160 99 147 228 202 N SD: 0.3238 c. M: 0.5974 c. 1639: 149 120 126 136 149 111 163 100 149 231 205 N SD: 0.3174 c. M: 0.5400 c. 1651: 150 121 127 137 150 112 164 101 150 233 206 N SD: 0.1963 c. M:-0.3701 c. 1730: 157 127 133 144 157 117 172 106 157 244 216 N SD: 0.2014 c. M:-0.3526 c. 1962: 178 144 151 163 178 133 195 120 178 277 245 N SD: 0.2095 c. M: 0.3700 c. 1993: 181 146 153 166 181 135 198 122 181 281 249 N SD: 0.1870 c. M: 0.4987 c. 2024: 184 148 156 168 184 137 201 124 184 285 253 N SD: 0.1919 c. M:-0.3379 c. 2113: 192 155 162 176 192 143 210 129 192 298 264 N SD: 0.1794 c. M: 0.3710 c. 2144: 195 157 165 178 195 145 213 131 195 302 268 N SD: 0.1979 c. M:-0.3069 c. 2369: 215 174 182 197 215 161 235 145 215 334 296 N SD: 0.1835 c. M:-0.3284 c.
FIT/HARMONIC
1 x x x x 2 x x x 3:4:5 S SD: 33.7217 cents 2 x x 3 x 4 x 5 x 6:8:10 S SD: 23.6489 cents 3 x 4 x 5:6 x x 8:10:12:15 S SD: 20.2547 cents 4 x 5:6:7:8:9:10:11:13:16:19 SD: 16.4843 cents 5:6 x 7:8:10:11:13:14:16:20:24 SD: 16.5634 cents 6:7:8:9:10:12:13:15:17:19:24:29 SD: 10.0080 cents 7:8:9:10:12:13:15:18:19:22:28:34 SD: 9.8157 cents 9:10:12:13:15:17:19:23:25:29:36:44 SD: 9.6154 cents 10:12:13:15:17:19:21:25:28:32:40:48 SD: 9.2748 cents 11:13:14:16:18:21:24:28:30:35:44:53 SD: 7.2563 cents 12:14:16:18:20:23:26:30:33:38:48:58 SD: 6.7346 cents 13:15:17:19:22:25:28:33:36:41:52:63 SD: 4.0923 cents 20:23:26:29:33:38:43:50:55:64:79:97 SD: 3.3976 cents 21:24:27:31:35:40:45:53:58:67:83:102 SD: 3.3657 cents 24:28:31:35:40:46:51:60:66:76:95:116 SD: 2.5317 cents 26:30:34:38:43:50:56:65:72:83:103:126 SD: 2.4120 cents 28:32:36:41:47:54:60:70:77:89:111:136 SD: 2.4065 cents 30:35:39:44:50:58:64:75:83:95:119:145 SD: 2.3331 cents 33:38:43:48:55:63:71:83:91:105:131:160 SD: 2.1026 cents 34:39:44:50:57:65:73:85:94:108:135:165 SD: 2.0437 cents 37:43:48:54:62:71:79:93:102:118:147:179 SD: 1.6947 cents 41:47:53:60:68:79:88:103:113:130:163:198 SD: 1.6813 cents 44:51:57:64:73:85:94:110:121:140:175:213 SD: 1.6023 cents 45:52:58:66:75:87:96:113:124:143:179:218 SD: 1.4393 cents 50:58:65:73:83:96:107:125:138:159:199:242 SD: 1.3330 cents 51:59:66:75:85:98:109:128:141:162:203:247 SD: 1.2329 cents 54:62:70:79:90:104:116:135:149:172:215:261 SD: 1.0815 cents 58:67:75:85:97:112:124:145:160:185:231:281 SD: 1.0726 cents 65:75:84:95:108:125:139:163:179:207:258:315 SD: 0.8278 cents 71:82:92:104:118:137:152:178:196:226:282:344 SD: 0.8075 cents 78:90:101:114:130:150:167:195:215:248:310:378 SD: 0.3786 cents 149:172:193:218:248:287:319:373:411:474:592:721 SD: 0.3477 cents 156:180:202:228:260:300:334:391:430:496:620:755 SD: 0.2621 cents 169:195:219:247:282:325:362:423:466:538:672:818 SD: 0.2294 cents 214:247:277:313:357:412:458:536:590:681:851:1036 SD: 0.2149 cents 234:270:303:342:390:450:501:586:645:745:930:1133 SD: 0.1921 cents 240:277:311:351:400:462:514:601:662:764:954:1162 SD: 0.1569 cents 292:337:378:427:487:562:625:731:805:929:1161:1413 SD: 0.1551 cents 318:367:412:465:530:612:681:796:877:1012:1264:1539 SD: 0.1004 cents 474:547:614:693:790:912:1015:1187:1307:1508:1884:2294 SD: 0.0850 cents 532:614:689:778:887:1024:1139:1332:1467:1693:2115:2575 SD: 0.0786 cents