Scala analysis: CD13_19_Turkey
Semai - Mesut Cemil Bey (hicazkar, Turkey)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 99.768 cents 99.767576 2: 296.593 cents 296.593145 3: 377.997 cents 377.996511 4: 498.745 cents 498.744809 5: 587.525 cents 587.524817 6: 719.502 cents 719.501983 7: 806.954 cents 806.953812 8: 878.955 cents 878.954616 9: 994.070 cents 994.069723 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.9303 cents 205.9303 1: 99.7676 cents 99.7676 2: 196.8256 cents 196.8256 3: 81.4034 cents 81.4034 4: 120.7483 cents 120.7483 5: 88.7800 cents 88.7800 6: 131.9772 cents 131.9772 7: 87.4518 cents 87.4518 8: 72.0008 cents 72.0008 9: 115.1151 cents 115.1151 10: 205.9303 cents 205.9303
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 72.00080 cents 1: 1 81.40337 cents 1: 1 87.45183 cents 1: 1 88.78001 cents 1: 1 99.76758 cents 1: 1 115.11511 cents 1: 1 120.74830 cents 1: 1 131.97717 cents 1: 1 196.82557 cents 1: 1 205.93028 cents 2: 1 159.45263 cents 2: 1 187.11591 cents 2: 1 202.15166 cents 2: 1 209.52831 cents 2: 1 219.42900 cents 2: 1 220.75717 cents 2: 1 278.22893 cents 2: 1 296.59315 cents 2: 1 305.69785 cents 2: 1 321.04538 cents 3: 1 274.56774 cents 3: 1 290.93167 cents 3: 1 291.42980 cents 3: 1 308.20900 cents 3: 1 341.50547 cents 3: 1 377.99651 cents 3: 1 393.04619 cents 3: 1 398.97723 cents 3: 1 420.81296 cents 3: 1 502.52342 cents 4: 1 380.20981 cents 4: 1 406.54491 cents 4: 1 422.90884 cents 4: 1 428.95730 cents 4: 1 480.49802 cents 4: 1 487.75724 cents 4: 1 492.81376 cents 4: 1 498.74481 cents 4: 1 583.92679 cents 4: 1 617.63853 cents 5: 1 495.32491 cents 5: 1 500.95810 cents 5: 1 510.36067 cents 5: 1 580.26559 cents 5: 1 587.52482 cents 5: 1 612.47518 cents 5: 1 619.73441 cents 5: 1 689.63933 cents 5: 1 699.04189 cents 5: 1 704.67509 cents 6: 1 582.36147 cents 6: 1 616.07321 cents 6: 1 701.25519 cents 6: 1 707.18624 cents 6: 1 712.24276 cents 6: 1 719.50198 cents 6: 1 771.04270 cents 6: 1 777.09116 cents 6: 1 793.45509 cents 6: 1 819.79019 cents 7: 1 697.47658 cents 7: 1 779.18704 cents 7: 1 801.02277 cents 7: 1 806.95381 cents 7: 1 822.00349 cents 7: 1 858.49453 cents 7: 1 891.79100 cents 7: 1 908.57020 cents 7: 1 909.06833 cents 7: 1 925.43226 cents 8: 1 878.95462 cents 8: 1 894.30215 cents 8: 1 903.40685 cents 8: 1 921.77107 cents 8: 1 979.24283 cents 8: 1 980.57101 cents 8: 1 990.47169 cents 8: 1 997.84834 cents 8: 1 1012.88409 cents 8: 1 1040.54737 cents 9: 1 994.06972 cents 9: 1 1003.17443 cents 9: 1 1068.02283 cents 9: 1 1079.25170 cents 9: 1 1084.88489 cents 9: 1 1100.23242 cents 9: 1 1111.21999 cents 9: 1 1112.54817 cents 9: 1 1118.59663 cents 9: 1 1127.99920 cents Highest number of different intervals for one interval class: 10 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 0.0 : 99.8 296.6 378.0 498.7 587.5 719.5 807.0 879.0 994.1 1200.0 99.8 : 196.8 278.2 399.0 487.8 619.7 707.2 779.2 894.3 1100.2 1200.0 296.6 : 81.4 202.2 290.9 422.9 510.4 582.4 697.5 903.4 1003.2 1200.0 378.0 : 120.7 209.5 341.5 429.0 501.0 616.1 822.0 921.8 1118.6 1200.0 498.7 : 88.8 220.8 308.2 380.2 495.3 701.3 801.0 997.8 1079.3 1200.0 587.5 : 132.0 219.4 291.4 406.5 612.5 712.2 909.1 990.5 1111.2 1200.0 719.5 : 87.5 159.5 274.6 480.5 580.3 777.1 858.5 979.2 1068.0 1200.0 807.0 : 72.0 187.1 393.0 492.8 689.6 771.0 891.8 980.6 1112.5 1200.0 879.0 : 115.1 321.0 420.8 617.6 699.0 819.8 908.6 1040.5 1128.0 1200.0 994.1 : 205.9 305.7 502.5 583.9 704.7 793.5 925.4 1012.9 1084.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 72.0008 .. 205.9303 cents 133.92947 cents 72.00080 cents 2: 159.4526 .. 321.0454 cents 161.59275 cents -46.47764 cents 3: 274.5677 .. 502.5234 cents 227.95568 cents -46.47764 cents 4: 380.2098 .. 617.6385 cents 237.42872 cents -122.31362 cents 5: 495.3249 .. 704.6751 cents 209.35017 cents -122.31362 cents 6: 582.3615 .. 819.7902 cents 237.42872 cents -122.31362 cents 7: 697.4766 .. 925.4323 cents 227.95568 cents -122.31362 cents 8: 878.9546 .. 1040.5474 cents 161.59275 cents -46.47764 cents 9: 994.0697 .. 1127.9992 cents 133.92947 cents -46.47764 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 72.00080 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 205.93028 cents Average / Smallest step : 1.666648 Largest / Average step : 1.716086 Largest / Smallest step : 2.860111 Median interval of one step : 107.44134 cents, amount: 0 Least squares average step : 116.11299 cents, oct.: 1161.12986 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJ Step pattern size order : EIBGDHCAFJ Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.56532 cents Scale diversity : 1.530135 Lumma stability : 0.120001 Lumma impropriety factor : 0.521242 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 0.49813 cents Number of recognisable fifths : 8, average 703.8774 cents Number of appreciable fifths : 7, average 701.6453 cents Formal octave complements present : 1 = 10.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 0 1 2 N T3 SD: 28.6592 c. M: 56.5931 c. 11: 1 2 0 2 0 2 0 1 1 2 N SD: 34.0087 c. M: 50.7238 c. 12: 1 2 1 1 1 1 1 1 1 2 N D3 SD: 12.4891 c. M:-22.0035 c. Maqam Tarzanuyn 22: 2 3 2 2 2 2 2 1 2 4 N SD: 11.4520 c. M: 23.8659 c. 25: 2 4 2 2 2 3 2 1 3 4 N SD: 10.5264 c. M: 18.7448 c. 28: 2 5 2 3 2 3 2 2 2 5 N SD: 11.4654 c. M:-21.0454 c. 29: 2 5 2 3 2 3 2 2 3 5 N SD: 11.0895 c. M: 20.7469 c. 33: 3 5 2 4 2 4 2 2 3 6 N SD: 8.7331 c. M: 14.3601 c. 34: 3 5 3 3 3 3 3 2 3 6 N SD: 8.8107 c. M: 14.2402 c. 36: 3 6 2 4 3 4 2 2 4 6 N SD: 8.5033 c. M:-13.8314 c. 37: 3 6 3 3 3 4 3 2 4 6 N SD: 7.1255 c. M: 12.2583 c. 41: 3 7 3 4 3 5 3 2 4 7 N SD: 6.9230 c. M:-12.5584 c. 45: 4 7 3 5 3 5 3 3 4 8 N SD: 4.9796 c. M:-7.9219 c. 53: 4 9 4 5 4 6 4 3 5 9 N SD: 5.0191 c. M: 9.2015 c. 57: 5 9 4 6 4 6 4 4 5 10 N SD: 4.3786 c. M: 6.9538 c. 60: 5 10 4 6 4 7 4 4 6 10 N SD: 3.9842 c. M: 7.5248 c. 70: 6 11 5 7 5 8 5 4 7 12 N SD: 2.9143 c. M: 5.1646 c. 82: 7 13 6 8 6 9 6 5 8 14 N SD: 2.1641 c. M: 3.9102 c. 98: 8 16 7 10 7 11 7 6 9 17 N SD: 2.1543 c. M:-3.2960 c. 130: 11 21 9 13 10 14 9 8 13 22 N SD: 2.0728 c. M: 3.8769 c. 134: 11 22 9 14 10 14 10 8 13 23 N SD: 1.9617 c. M:-3.5200 c. 137: 11 23 9 14 10 15 10 8 13 24 N SD: 2.1487 c. M: 4.2887 c. 145: 12 24 10 14 11 16 11 8 14 25 N SD: 1.8664 c. M:-4.0807 c. 147: 12 24 10 15 11 16 11 9 14 25 N SD: 1.7560 c. M: 2.7156 c. 153: 13 25 10 16 11 17 11 9 15 26 N SD: 1.7160 c. M:-3.2160 c. 158: 13 26 11 16 11 18 11 10 15 27 N SD: 1.7504 c. M: 2.7147 c. 165: 14 27 11 17 12 18 12 10 16 28 N SD: 1.5927 c. M:-3.0734 c. 168: 14 28 11 17 12 19 12 10 16 29 N SD: 1.4903 c. M:-3.4069 c. 169: 14 28 11 17 13 18 13 10 16 29 N SD: 1.6095 c. M:-2.5136 c. 180: 15 29 13 18 13 20 13 11 17 31 N SD: 1.3774 c. M: 3.2598 c. 190: 16 31 13 19 14 21 14 11 18 33 N SD: 1.1141 c. M: 2.4908 c. 202: 17 33 14 20 15 22 15 12 19 35 N SD: 1.1132 c. M:-2.2015 c. 217: 18 36 14 22 16 24 16 13 21 37 N SD: 1.1533 c. M:-2.0244 c. 219: 18 36 15 22 16 24 16 13 21 38 N SD: 1.3643 c. M: 2.2889 c. 228: 19 37 16 23 17 25 16 14 22 39 N SD: 1.2444 c. M:-1.9489 c. 229: 19 38 15 23 17 25 17 14 22 39 N SD: 1.1459 c. M:-2.0968 c. 235: 20 38 16 24 17 26 17 14 23 40 N SD: 1.1036 c. M:-2.3601 c. 239: 20 39 16 24 18 26 18 14 23 41 N SD: 0.9884 c. M: 1.6737 c. 250: 21 41 17 25 18 28 18 15 24 43 N SD: 0.9232 c. M: 1.9248 c. 263: 22 43 18 26 20 29 19 16 25 45 N SD: 0.9755 c. M:-1.6537 c. 274: 23 45 18 28 20 30 20 17 26 47 N SD: 0.9782 c. M: 1.3542 c. 280: 23 46 19 28 21 31 20 17 27 48 N SD: 0.8730 c. M: 1.6020 c. 292: 24 48 20 29 22 32 21 18 28 50 N SD: 0.8216 c. M: 1.4845 c. 315: 26 52 21 32 23 35 23 19 30 54 N SD: 0.6486 c. M:-1.0454 c. 337: 28 55 23 34 25 37 25 20 32 58 N SD: 0.6334 c. M:-1.3548 c. 384: 32 63 26 39 28 42 28 23 37 66 N SD: 0.5981 c. M:-1.2552 c. 397: 33 65 27 40 29 44 29 24 38 68 N SD: 0.4494 c. M: 1.1268 c. 412: 34 68 28 41 31 45 30 25 39 71 N SD: 0.5975 c. M: 0.8658 c. 419: 35 69 28 42 31 46 31 25 40 72 N SD: 0.5651 c. M:-1.2589 c. 437: 36 72 30 44 32 48 32 26 42 75 N SD: 0.5476 c. M:-1.0264 c. 445: 37 73 30 45 33 49 32 27 43 76 N SD: 0.4510 c. M:-0.9865 c. 470: 39 77 32 47 35 52 34 28 45 81 N SD: 0.5049 c. M: 0.8782 c. 482: 40 79 33 48 36 53 35 29 46 83 N SD: 0.4012 c. M: 0.8195 c. 517: 43 85 35 52 38 57 38 31 49 89 N SD: 0.4597 c. M:-0.7831 c. 531: 44 87 36 54 39 58 39 32 51 91 N SD: 0.4592 c. M: 0.8579 c. 537: 45 88 36 54 40 59 39 32 52 92 N SD: 0.4544 c. M:-0.7911 c. 549: 46 90 37 55 41 60 40 33 53 94 N SD: 0.4497 c. M:-0.7789 c. 565: 47 93 38 57 42 62 41 34 54 97 N SD: 0.4152 c. M:-0.7938 c. 587: 49 96 40 59 43 65 43 35 56 101 N SD: 0.3873 c. M: 0.8127 c. 590: 49 97 40 59 44 65 43 35 57 101 N SD: 0.3682 c. M:-0.5065 c. 635: 53 104 43 64 47 70 46 38 61 109 N SD: 0.2284 c. M:-0.4980 c. 647: 54 106 44 65 48 71 47 39 62 111 N SD: 0.2430 c. M:-0.4195 c. 797: 66 131 54 80 59 88 58 48 76 137 N SD: 0.2622 c. M: 0.3949 c. 886: 74 145 60 89 66 97 65 53 85 152 N SD: 0.2428 c. M:-0.4582 c. 927: 77 152 63 93 69 102 67 56 89 159 N SD: 0.2225 c. M: 0.4813 c. 962: 80 158 65 97 71 106 70 58 92 165 N SD: 0.2081 c. M:-0.4633 c. 984: 82 161 67 99 73 108 72 59 94 169 N SD: 0.2141 c. M:-0.3633 c. 1032: 86 169 70 104 76 114 75 62 99 177 N SD: 0.1657 c. M: 0.3155 c. 1193: 99 196 81 120 88 131 87 72 114 205 N SD: 0.1987 c. M: 0.3067 c. 1234: 103 202 84 124 91 136 90 74 118 212 N SD: 0.1985 c. M:-0.3945 c. 1242: 103 204 84 125 92 137 90 75 119 213 N SD: 0.1943 c. M:-0.3048 c. 1264: 105 207 86 127 94 139 92 76 121 217 N SD: 0.1878 c. M: 0.3906 c. 1289: 107 212 87 130 95 142 94 77 124 221 N SD: 0.1852 c. M:-0.3813 c. 1311: 109 215 89 132 97 144 96 78 126 225 N SD: 0.1493 c. M:-0.3688 c. 1323: 110 217 90 133 98 145 97 79 127 227 N SD: 0.1641 c. M:-0.3024 c. 1346: 112 221 91 135 100 148 98 81 129 231 N SD: 0.1605 c. M: 0.3793 c. 1371: 114 225 93 138 101 151 100 82 132 235 N SD: 0.1403 c. M:-0.2410 c. 1444: 120 237 98 145 107 159 105 87 138 248 N SD: 0.1296 c. M:-0.2698 c. 1514: 126 248 103 152 112 167 110 91 145 260 N SD: 0.1364 c. M: 0.2065 c. 1566: 130 257 106 158 116 172 114 94 150 269 N SD: 0.1323 c. M: 0.2187 c. 1591: 132 261 108 160 118 175 116 95 153 273 N SD: 0.1429 c. M: 0.2620 c. 1597: 133 262 108 161 118 176 116 96 153 274 N SD: 0.1679 c. M:-0.3477 c. 1603: 133 263 109 161 119 176 117 96 154 275 N SD: 0.1181 c. M: 0.2043 c. 1648: 137 270 112 166 122 181 120 99 158 283 N SD: 0.1136 c. M: 0.2339 c. 1771: 147 291 120 178 131 195 129 106 170 304 N SD: 0.1034 c. M:-0.1883 c. 1853: 154 304 126 186 137 204 135 111 178 318 N SD: 0.1017 c. M:-0.2010 c. 1963: 163 322 133 198 145 216 143 118 188 337 N SD: 0.0996 c. M: 0.2074 c. 2045: 170 335 139 206 151 225 149 123 196 351 N SD: 0.1114 c. M: 0.2606 c. 2055: 171 337 139 207 152 226 150 123 197 353 N SD: 0.1096 c. M: 0.2011 c. 2067: 172 339 140 208 153 227 151 124 198 355 N SD: 0.0924 c. M: 0.1986 c. 2143: 178 352 145 216 158 236 156 129 205 368 N SD: 0.1229 c. M:-0.1871 c. 2153: 179 353 146 217 159 237 157 129 207 369 N SD: 0.1066 c. M:-0.2638 c. 2161: 180 354 147 217 160 238 157 130 207 371 N SD: 0.1119 c. M:-0.1861 c. 2165: 180 355 147 218 160 238 158 130 207 372 N SD: 0.1016 c. M: 0.2591 c. 2168: 180 356 147 218 160 239 158 130 208 372 N SD: 0.1010 c. M: 0.2554 c. 2180: 181 358 148 219 161 240 159 131 209 374 N SD: 0.1075 c. M: 0.1854 c. 2190: 182 359 149 220 162 241 160 131 210 376 N SD: 0.1028 c. M:-0.1695 c. 2238: 186 367 152 225 166 246 163 134 215 384 N SD: 0.0772 c. M:-0.1427 c. 2283: 190 374 155 230 169 251 166 137 219 392 N SD: 0.1009 c. M: 0.1411 c. 2295: 191 376 156 231 170 252 167 138 220 394 N SD: 0.1003 c. M:-0.1876 c. 2298: 191 377 156 231 170 253 167 138 221 394 N SD: 0.0954 c. M:-0.1862 c. 2302: 191 378 156 232 170 253 168 138 221 395 N SD: 0.0914 c. M: 0.2020 c. 2355: 196 386 160 237 174 259 172 141 226 404 N SD: 0.0841 c. M:-0.1799 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 8.7735 cents 3 x x x 4 x x x 5 x 6 S SD: 1.8164 cents 4 x x 5 x x 6 x x 7:8 S SD: 7.9621 cents 5 x 6 x x 7 x 8 x 9:10 S SD: 6.2826 cents 6 x 7 x 8 x 9 x 10:11:12 S SD: 10.9015 cents 7 x 8:9 x 10 x 11:12 x 14 S SD: 18.2343 cents 8 x x 10 x 11:12:13 x 14:16 S SD: 9.7929 cents 9:10 x 11:12:13 x 14:15:16:18 S SD: 13.6791 cents 10:11:12 x 13:14:15:16:17:18:20 S SD: 10.6043 cents 11:12:13:14:15 x 17 x 18:20:22 SD: 11.9884 cents 12:13:14:15:16:17:18:19:20:21:24 S SD: 6.1665 cents 14:15:17 x 19:20:21:22:23:25:28 SD: 7.9551 cents 15:16:18:19:20:21:23:24:25:27:30 SD: 5.0561 cents 17:18:20:21:23:24:26:27:28:30:34 SD: 4.1383 cents 27:29:32:34:36:38:41:43:45:48:54 SD: 3.3022 cents 32:34:38:40:43:45:48:51:53:57:64 SD: 2.5182 cents 33:35:39:41:44:46:50:53:55:59:66 SD: 2.3803 cents 37:39:44:46:49:52:56:59:61:66:74 SD: 2.2158 cents 45:48:53:56:60:63:68:72:75:80:90 SD: 2.1159 cents 48:51:57:60:64:67:73:77:80:85:96 SD: 2.0471 cents 49:52:58:61:65:69:74:78:81:87:98 SD: 1.6288 cents 54:57:64:67:72:76:82:86:90:96:108 SD: 1.1442 cents 81:86:96:101:108:114:123:129:135:144:162 SD: 1.0194 cents 86:91:102:107:115:121:130:137:143:153:172 SD: 0.8224 cents 101:107:120:126:135:142:153:161:168:179:202 SD: 0.7797 cents 116:123:138:144:155:163:176:185:193:206:232 SD: 0.7476 cents 118:125:140:147:157:166:179:188:196:210:236 SD: 0.7467 cents 119:126:141:148:159:167:180:190:198:211:238 SD: 0.7087 cents 134:142:159:167:179:188:203:214:223:238:268 SD: 0.6254 cents 138:146:164:172:184:194:209:220:229:245:276 SD: 0.5613 cents 151:160:179:188:201:212:229:241:251:268:302 SD: 0.5366 cents 156:165:185:194:208:219:236:249:259:277:312 SD: 0.5110 cents 165:175:196:205:220:232:250:263:274:293:330 SD: 0.4345 cents 188:199:223:234:251:264:285:300:312:334:376 SD: 0.4007 cents 204:216:242:254:272:286:309:325:339:362:408 SD: 0.3645 cents 237:251:281:295:316:333:359:378:394:421:474 SD: 0.3110 cents 287:304:341:357:383:403:435:457:477:510:574 SD: 0.2977 cents 290:307:344:361:387:407:439:462:482:515:580 SD: 0.2931 cents 299:317:355:372:399:420:453:477:497:531:598 SD: 0.2661 cents 320:339:380:398:427:449:485:510:532:568:640 SD: 0.2124 cents 357:378:424:444:476:501:541:569:593:634:714 SD: 0.1925 cents 369:391:438:459:492:518:559:588:613:655:738 SD: 0.1272 cents 557:590:661:693:743:782:844:888:925:989:1114 SD: 0.1041 cents