Carillon 2009, ninety years after the first bells were hung in 1919. Middlebury College in Vermont has a 48-bell carillon located in the steeple of the college's Mead Memorial Chapel. The University of Toronto in Toronto, Canada, has a 51 bell carillon located at Soldiers' Tower, and is the only Canadian university with a functioning carillon. Number of traditional carillons by country, with each country linked to its country-specific list of carillons: Carillon A carillon ( or ; ) is a musical instrument that is typically housed in the bell tower (belfry) of a church or municipal building. The instrument consists
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