The only thing that's global is whether the delay is a straight digital delay or an emulated analog delay. In analog mode, when adjusting the delay time, the pitches of already-repeating notes will change like on a tape delay when you move the playback head.
From the manual:
The Sound Menu Delay Mode setting can be set to normal or analog. This determines if the delay should change the pitch on sounding re- peats in the fashion of an analog delay, if the Delay Tempo is adjusted. When set to Normal, the pitch does not change.