Carillon in Berlin-Tiergarten Carillon in Berlin-Tiergarten The Carillon in Berlin-Tiergarten is located in a freestanding 42m-tall tower next to the House of World Cultures ("Haus der Kulturen der Welt"), near the Chancellery in the northeastern part of Berlin's central Tiergarten park. It is a large, manually played concert instrument, comprising 68 bells weighing a total of 48 metric tonnes (almost 106,000 lbs.) connected to a keyboard spanning 5½ fully chromatic octaves; the largest bell weighs 7.8 tonnes (almost 17,200 lbs.). The carillonneur sits in a playing cabin in the middle of the bells and plays with his fists and feet on a baton-and-pedal
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