A magnetic shimming configuration for a high-field magnet having optimized turn geometry and electrical circuitry. The present invention accomplishes this by combining the corrective functionalities of the standard X and ZX shims into two single, simplified electrical circuits and conductors, optimized for field strength as a function of turn location. The standard Y and ZY shims were also replaced with two single, simplified circuits and conductor that is corrective of the Y and ZY fields. The new configuration also eliminates the need of additional "second, outboard turns" of the traditional X, ZX, Y, and ZY shims, located further away from the mid-plane.