This article presents a database of recordings and radiation patterns of individual notes for 41 modern and historical musical instruments, measured with a 32-channel spherical microphone array in anechoic conditions. In addition, directivities averaged in one-third-octave bands have been calculated for each instrument, which are suitable for use in acoustic simulation and auralization. The data are provided in Spatially Oriented Format for Acoustics. Spatial upsampling of the directivities was performed based on spherical spline interpolation and converted to OpenDAFF and Generic Loudspeaker Library formats for use in room acoustic and electro-acoustic simulation software. For this purpose, a method is presented for how these directivities can be referenced to a specific microphone position in order to achieve a physically correct auralization without coloration. The data is available under the CC BY-NC 4.0 license.