Linear would refer to a very clean, extremely "flat" tonal response with minimal tube warmth. For that sound the US Military Amperex 7308 CEP is one of the most accurate of this design type.
For Joeavid, very detailed high end with low distortion and good warmth, I would try Siemens 6922 Cca with gold pins.
No money would probably do well with the same tube, if the top end is too lacking in warmth for either of you, the Mullard (white dot if possible) 6922 gold pin is what I am running in my preamp. It is not as fast and extended as the Siemens, but warmer like a Telefunken with a more recessed midrange.