Cook Carillon Tower around 3,000 pounds and the smallest at just 14 pounds with sizes ranging from 51.7 to 7.5 inches. The tower itself is made of brick and stone. The carillon chimes at every quarter-hour throughout the day on a set computerized play system playing the Whittington chimes. The carillon also automatically plays the university's alma mater, "Hail to Thee, Grand Valley" after the noon chimes. However, the bells are also connected to a keyboard and playing chamber located in the middle of the tower, from which a "carillonneur" can play. GVSU also has another carillon, the Beckering Family Carillon Tower, located
Partition of a set "coarser" than "α"—if every element of "α" is a subset of some element of "ρ". Informally, this means that "α" is a further fragmentation of "ρ". In that case, it is written that "α" ≤ "ρ". This "finer-than" relation on the set of partitions of "X" is a partial order (so the notation "≤" is appropriate). Each set of elements has a least upper bound and a greatest lower bound, so that it forms a lattice, and more specifically (for partitions of a finite set) it is a geometric lattice. The "partition lattice" of a 4-element set has 15 elements