How does the wobble of the earth's axis effect day length?

The gyroscopic wobble of earth's spin axis takes 26,000 years to complete. In this wobble motion, the tilt of the earth stays roughly constant at 23.4 degrees but the orientation is always changing. Does anyone know where I could find some information regarding how this wobble effects lengths of days at certain latitudes during specific seasons? For instance, when the orientation becomes 23.6 degrees in stead of 23.4 are the number of daylight hours effected, even negligibly? This is not a question about climate or seasons just the number of hours in a day.