These can include cuts, inserts, supplemental rehearsal markings, transpositions and doublings. Many of the instrumental pieces have extensive doublings, such as flute/piccolo/alto flute. The dilution means that each population experiences 6.64 generations, or doublings, each day. Lattice regularizations suffer from fermion doublings leading to a loss of chirality. Some careful planning is needed to balance the multiple doublings between horns and trumpets. The 2009 revival switched the doublings for the second and fourth woodwind parts. After 20 doublings of the mixed culture, only female cells remained. The instrumental combinations (including doublings) vary between most movements. So, for these doublings can be faster. These doublings highlight Okuyama's double existence. After the "urlar" there is usually a number of variations and doublings of the variations. If there were 3 doublings, the pot is now at $40. The diagram also shows period doublings from 3 to 6 to 12 etc. These doublings applied separately in the X and Y directions, resulting in very nonlinear response. Doublings are often called for in music written for Pierrot ensemble.