TITLE: Triply graded spectral sequence?
QUESTION [12 upvotes]: As we know, most of the spectral sequences are doubly graded. However, this "doubly graded" condition is not a part of the formal definition of spectral sequence. Is there any useful triply (quadruply, quintuply, etc.) graded spectral sequences? If not, is there a hope that some meaningful work can be done with this topic?

REPLY [3 votes]: J. L. Verdier dissertation (written in the 60s), pre-Ravenel's book,  covers  multiple-graded  complexes.  It was reprinted "recently"

Des catégories dérivées des catégories abéliennes. (French. French summary) [On derived categories of abelian categories] 
  With a preface by Luc Illusie. Edited and with a note by Georges Maltsiniotis. 
  Astérisque No. 239 (1996), xii+253 pp. (1997).