Since what you hear is a combination of factors I would suggest that you cannot totally separate anything.....warm and transparency are different as Onhwy61 correctly points out but my guess is they are also related in the way the overall sound is perceived.
The relative balance between 1K and 8K frequency response can produce warmth.....basically a peak at 4K will sound more sound harsh (brighter brass) and a dip at around 4 K will sound warmer (less harsh).
However, there is another dimension to warm sound; more harmonics from some equipment like tube amps create more warmth to the sound by increasing the harmonic content....vinyl does much the same when compared to digital. Since harmonics are entirely natural to sound and crucial to the way you percieve them and the timbre...these added harmonics are often pleasing.
I guess I am suggesting that it is very hard to separate terms in audio as everything is interelated.
The relative balance between 1K and 8K frequency response can produce warmth.....basically a peak at 4K will sound more sound harsh (brighter brass) and a dip at around 4 K will sound warmer (less harsh).
However, there is another dimension to warm sound; more harmonics from some equipment like tube amps create more warmth to the sound by increasing the harmonic content....vinyl does much the same when compared to digital. Since harmonics are entirely natural to sound and crucial to the way you percieve them and the timbre...these added harmonics are often pleasing.
I guess I am suggesting that it is very hard to separate terms in audio as everything is interelated.