In a March 2004 AOS Orchids article by Lopez and Runkle "The Flowering of Orchids" a summary of the published literature on Phalaenopsis flower induction noted that photoperiod has little effect on flowering but that "most Phalaenopsis species and hybrids require a period of exposure to relatively cool temperatures ...".
In 2006, Runkle and Blanchard experimented in detail with what cooling means in Phalaenopsis flower induction with day lengths of 12 hours. The abstract of the article in the Journal of Experimental Botany can be seen at this link:
Temperature during the day, but not during the night, controls flowering of Phalaenopsis orchids -- Blanchard and Runkle 57 (15): 4043 -- Journal of Experimental Botany
A quick summary of this work would say that day time temperature reduction is more important than night time reduction. With clones of Phalaenopsis, they got at least 80% spike initiation with either 20C(68F) days/14C (57F) nights or with 23C(73F) days/17C(63F) nights. They could also induce the same spiking with constant 24 hour temperatures ranging from 14C(57F) to 23C(73). This obviously means that day/night temperature variation was not important!
Since most of us grow in conditions in which there is some diurnal variation in temperature, this work suggests that we need to focus on keeping the daytime temperature ≤ 23C(73F) and accept whatever night time temperature comes with that. Night time temperatures as low as 14C(57F) cannot be seen to harm spike initiation.
In my basement plant room in Minnesota this means having a window open in the Fall to be sure the room stays under 75F during the day. If we get a hot stretch, I shut the window and open the plant room door to let the basement air conditioning of the house help to cool the room. At night the open window means that I get temperatures between 57-63F.
I am helped by our cooler September and October temperatures in Minnesota so that I have been already vernalizing for over a month and most of my Phalaenopsis that are large enough to flower are already in spike.