The first cycle should be done as soon as possible after quench. There are severe stresses in the blade and in more complex steels, some retained austenite.
After the stress is relieved, and the RA is converted, the need for speed is far less. If done the next day, there should be no harm.
Between the tempers, it is best to cool the blade quickly by dunking in water or putting under the running faucet. This will not warp or crack the blade, but will avoid some metallurgical issues caused by slow cooling ( most of which are very minor, but do matter). You can cool it off, wipe it dry, and put it right back in the oven.