<｜begin▁of▁sentence｜>### Instruction:
As a jazz musician, you may want to visualize a complex musical arrangement in a unique, eye-catching way to enhance your performance. Using igraph's TaperedEdgeDrawer, you can create a directed visual representation of your musical composition, with the edges appearing tapered, wider at the starting point and narrower at the destination. After creating this visualization, you might want to save it as a PNG file for future reference or to share with other musicians.
### Response:
import igraph as ig
import cairo

g = ig.Graph.Tree(10, 2)  # Create a sample tree graph
g.vs['label'] = range(g.vcount())  # Label vertices from 0 to 9

# Set up Cairo surface for drawing
surface = cairo.ImageSurface(cairo.FORMAT_ARGB32, 400, 400)
context = cairo.Context(surface)

# Initialize the plot
plot = ig.Plot(surface=surface, bbox=(400, 400), background='white')
plot.add(g)

# Customize the edge drawer
for edge in g.es:
    edge['edge_drawer'] = ig.drawing.TaperedEdgeDrawer()
    edge['width'] = 2  # Set the width property of edges

plot.redraw()

# Save the plot to a file
plot.save('tapered_edges.png')
<|EOT|>
