For my CBR the freeplay should be 0.08-0.24 inch. So 1/4 inch is OK. But I adjust mine to the low end. With all my riding on the streets, I want instant throttle. The Haynes manual says to "slacken the locknut on the cable upper adjuster (mine has push and pull cables) and rotate until the required amount of freeplay is obtained then tighten the locknut. If it is not possible to obtain the correct freeplay with the upper adjuster, it will be necessary to make adjustment at the lower adjuster, situated on the carburetors." Haynes is published out of England, so the english is very proper.