Yamaha TX81Z/DX11 ideal pitch ratios Rows marked with "-" are coarse val- ues. Columns show the fine values reachable from the associated coarse value. 0.500 - 0.707 - 0.785 - 0.866 0.562 0.795 0.884 0.974 0.625 0.884 0.982 1.083 0.688 0.972 1.080 1.191 0.750 1.061 1.178 1.299 0.812 1.149 1.276 1.407 0.875 1.237 1.374 1.516 0.938 1.326 1.473 1.624 1.000 - 1.414 - 1.571 - 1.732 1.062 1.503 1.669 1.840 1.125 1.591 1.767 1.949 1.188 1.679 1.865 2.057 1.250 1.768 1.963 2.165 1.312 1.856 2.062 2.273 1.375 1.945 2.160 2.382 1.438 2.033 2.258 2.490 1.500 2.121 2.356 2.598 1.562 2.210 2.454 2.706 1.625 2.298 2.553 2.815 1.688 2.386 2.651 2.923 1.750 2.475 2.749 3.031 1.812 2.563 2.847 3.139 1.875 2.652 2.945 3.248 1.938 2.740 3.043 3.356 2.000 - 2.828 - 3.142 - 3.464 2.062 2.917 3.240 3.572 2.125 3.005 3.338 3.681 2.188 3.094 3.436 3.789 2.250 3.182 3.534 3.897 2.312 3.270 3.632 4.005 2.375 3.359 3.731 4.114 2.438 3.447 3.829 4.222 2.500 3.536 3.927 4.330 2.562 3.624 4.025 4.438 2.625 3.712 4.123 4.547 2.688 3.801 4.222 4.655 2.750 3.889 4.320 4.763 2.812 3.977 4.418 4.871 2.875 4.066 4.516 4.980 2.938 4.154 4.614 5.088 3.000 - 4.243 - 4.712 - 5.196 3.062 4.331 4.811 5.304 3.125 4.419 4.909 5.413 3.188 4.508 5.007 5.521 3.250 4.596 5.105 5.629 3.312 4.685 5.203 5.737 3.375 4.773 5.301 5.846 3.438 4.861 5.400 5.954 3.500 4.950 5.498 6.062 3.562 5.038 5.596 6.170 3.625 5.127 5.694 6.279 3.688 5.215 5.792 6.387 3.750 5.303 5.890 6.495 3.812 5.392 5.989 6.603 3.875 5.480 6.087 6.712 3.938 5.568 6.185 6.820 4.000 - 5.657 - 6.283 - 6.928 4.062 5.745 6.381 7.036 4.125 5.834 6.480 7.145 4.188 5.922 6.578 7.253 4.250 6.010 6.676 7.361 4.312 6.099 6.774 7.469 4.375 6.187 6.872 7.578 4.438 6.276 6.970 7.686 4.500 6.364 7.069 7.794 4.562 6.452 7.167 7.902 4.625 6.541 7.265 8.011 4.688 6.629 7.363 8.119 4.750 6.718 7.461 8.227 4.812 6.806 7.559 8.335 4.875 6.894 7.658 8.444 4.938 6.983 7.756 8.552 5.000 - 7.071 - 7.854 - 8.660 5.062 7.159 7.952 8.769 5.125 7.248 8.050 8.877 5.188 7.336 8.149 8.985 5.250 7.425 8.247 9.093 5.312 7.513 8.345 9.202 5.375 7.601 8.443 9.310 5.438 7.690 8.541 9.418 5.500 7.778 8.639 9.526 5.562 7.867 8.738 9.635 5.625 7.955 8.836 9.743 5.688 8.043 8.934 9.851 5.750 8.132 9.032 9.959 5.812 8.220 9.130 10.068 5.875 8.309 9.228 10.176 5.938 8.397 9.327 10.284 6.000 - 8.485 - 9.425 - 10.392 6.062 8.574 9.523 10.501 6.125 8.662 9.621 10.609 6.188 8.750 9.719 10.717 6.250 8.839 9.817 10.825 6.312 8.927 9.916 10.934 6.375 9.016 10.014 11.042 6.438 9.104 10.112 11.150 6.500 9.192 10.210 11.258 6.562 9.281 10.308 11.367 6.625 9.369 10.407 11.475 6.688 9.458 10.505 11.583 6.750 9.546 10.603 11.691 6.812 9.634 10.701 11.800 6.875 9.723 10.799 11.908 6.938 9.811 10.897 12.016 7.000 - 9.899 - 10.996 - 12.124 7.062 9.988 11.094 12.233 7.125 10.076 11.192 12.341 7.188 10.165 11.290 12.449 7.250 10.253 11.388 12.557 7.312 10.341 11.486 12.666 7.375 10.430 11.585 12.774 7.438 10.518 11.683 12.882 7.500 10.607 11.781 12.990 7.562 10.695 11.879 13.099 7.625 10.783 11.977 13.207 7.688 10.872 12.075 13.315 7.750 10.960 12.174 13.423 7.812 11.049 12.272 13.532 7.875 11.137 12.370 13.640 7.938 11.225 12.468 13.748 8.000 - 11.314 - 12.566 - 13.856 8.062 11.402 12.665 13.965 8.125 11.490 12.763 14.073 8.188 11.579 12.861 14.181 8.250 11.667 12.959 14.289 8.312 11.756 13.057 14.398 8.375 11.844 13.155 14.506 8.438 11.932 13.254 14.614 8.500 12.021 13.352 14.722 8.562 12.109 13.450 14.831 8.625 12.198 13.548 14.939 8.688 12.286 13.646 15.047 8.750 12.374 13.744 15.155 8.812 12.463 13.843 15.264 8.875 12.551 13.941 15.372 8.938 12.640 14.039 15.480 9.000 - 12.728 - 14.137 - 15.588 9.062 12.816 14.235 15.697 9.125 12.905 14.334 15.805 9.188 12.993 14.432 15.913 9.250 13.081 14.530 16.021 9.312 13.170 14.628 16.130 9.375 13.258 14.726 16.238 9.438 13.347 14.824 16.346 9.500 13.435 14.923 16.454 9.562 13.523 15.021 16.563 9.625 13.612 15.119 16.671 9.688 13.700 15.217 16.779 9.750 13.789 15.315 16.887 9.812 13.877 15.413 16.996 9.875 13.965 15.512 17.104 9.938 14.054 15.610 17.212 10.000 - 14.142 - 15.708 - 17.321 10.062 14.231 15.806 17.429 10.125 14.319 15.904 17.537 10.188 14.407 16.002 17.645 10.250 14.496 16.101 17.754 10.312 14.584 16.199 17.862 10.375 14.672 16.297 17.970 10.438 14.761 16.395 18.078 10.500 14.849 16.493 18.187 10.562 14.938 16.592 18.295 10.625 15.026 16.690 18.403 10.688 15.114 16.788 18.511 10.750 15.203 16.886 18.620 10.812 15.291 16.984 18.728 10.875 15.380 17.082 18.836 10.938 15.468 17.181 18.944 11.000 - 15.556 - 17.279 - 19.053 11.062 15.645 17.377 19.161 11.125 15.733 17.475 19.269 11.188 15.822 17.573 19.377 11.250 15.910 17.671 19.486 11.312 15.998 17.770 19.594 11.375 16.087 17.868 19.702 11.438 16.175 17.966 19.810 11.500 16.263 18.064 19.919 11.562 16.352 18.162 20.027 11.625 16.440 18.261 20.135 11.688 16.529 18.359 20.243 11.750 16.617 18.457 20.352 11.812 16.705 18.555 20.460 11.875 16.794 18.653 20.568 11.938 16.882 18.751 20.676 12.000 - 16.971 - 18.850 - 20.785 12.062 17.059 18.948 20.893 12.125 17.147 19.046 21.001 12.188 17.236 19.144 21.109 12.250 17.324 19.242 21.218 12.312 17.413 19.340 21.326 12.375 17.501 19.439 21.434 12.438 17.589 19.537 21.542 12.500 17.678 19.635 21.651 12.562 17.766 19.733 21.759 12.625 17.854 19.831 21.867 12.688 17.943 19.929 21.975 12.750 18.031 20.028 22.084 12.812 18.120 20.126 22.192 12.875 18.208 20.224 22.300 12.938 18.296 20.322 22.408 13.000 - 18.385 - 20.420 - 22.517 13.062 18.473 20.519 22.625 13.125 18.562 20.617 22.733 13.188 18.650 20.715 22.841 13.250 18.738 20.813 22.950 13.312 18.827 20.911 23.058 13.375 18.915 21.009 23.166 13.438 19.003 21.108 23.274 13.500 19.092 21.206 23.383 13.562 19.180 21.304 23.491 13.625 19.269 21.402 23.599 13.688 19.357 21.500 23.707 13.750 19.445 21.598 23.816 13.812 19.534 21.697 23.924 13.875 19.622 21.795 24.032 13.938 19.711 21.893 24.140 14.000 - 19.799 - 21.991 - 24.249 14.062 19.887 22.089 24.357 14.125 19.976 22.187 24.465 14.188 20.064 22.286 24.573 14.250 20.153 22.384 24.682 14.312 20.241 22.482 24.790 14.375 20.329 22.580 24.898 14.438 20.418 22.678 25.006 14.500 20.506 22.777 25.115 14.562 20.594 22.875 25.223 14.625 20.683 22.973 25.331 14.688 20.771 23.071 25.439 14.750 20.860 23.169 25.548 14.812 20.948 23.267 25.656 14.875 21.036 23.366 25.764 14.938 21.125 23.464 25.873 15.000 - 21.213 - 23.562 - 25.981 15.062 21.302 23.660 26.089 15.125 21.390 23.758 26.197 15.188 21.478 23.856 26.306 15.250 21.567 23.955 26.414 15.312 21.655 24.053 26.522 15.375 21.744 24.151 26.630 15.438 21.832 24.249 26.739 15.500 21.920 24.347 26.847 15.562 22.009 24.446 26.955 15.625 22.097 24.544 27.063 15.688 22.185 24.642 27.172 15.750 22.274 24.740 27.280 15.812 22.362 24.838 27.388 15.875 22.451 24.936 27.496 15.938 22.539 25.035 27.605