Membrane Vibrational ModesStretched membranes have many vibrational modes, some of which are harmonically related to the lowest pitch and some not. The theoretical case of a rectangular membrane begins to show the complexity of membranes. The musically more useful circular membranes have even greater complexity. 
Index Percussion instruments Musical instruments Reference Berg & Stork  

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Rectangular Membrane
No, I haven't seen a rectangular drum either, but it is a useful mathematical model to show that resonant systems often have overtones which are not harmonics. This is true also in the more useful circular membranes used in drum heads, but the overtones are much more complex there. 
Index Percussion instruments Musical instruments Reference Backus  

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