since it was used for audio transformer, most probably this is something like Perminvar (=permeability invariable) with 50%nickel, 25%cobalt, 25%iron. Is that for telecommunication? the constant permeability at low magnetic field will minimize the signal distortion, so high sound quality.
nowadays, people like to use mumetal or permalloy for audio transformer, since one of main goals is to decrease the exciting current in primary to negligible level, high permeabiltiy is obviously beneficial. Also, since harmonci distortion is inversely proportional to permeability, high permeability means low distortion.
constant permeability is beneficial either, but if you can design a transformer to operate at a low flux density such that mumetal is more in the linear portion of curve, you will obtain benefit for a constant permeability.