FiiO X7mkii + AM03A is much better than X5-3 when it comes to sound. By a huge margin. X5-3 is extremely smooth, resulting in many sound characteristics that one might not like, and X7mkii fixes all of those quite nicely!
Also, X7mkii is one of the quickest DAPs when it comes to its firmware and UI fluidity.
Top line wrong - second line correct.
Much better is a very subjective term - and will depend on a person's preferences. Simply assuming they match yours is not a good idea.
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Any comments on fiio x5iii vs fiio x7 mkii?
X7ii is larger, longer and heavier physically, but has the ability to change amp modules to tailor both sound and also power output. For now I'll assume we are talking X7ii with the default AM3A module.
In terms of hardware other differences are that the X7ii has 64Gb onboard storage while the X5iii has only 32Gb, and the X7ii has dual band Wifi where X7ii only has single band. X7ii also has 2 Gb RAM vs X5iii 1 Gb, and George is right - this does lead to more fluidity in UI operation.
In terms of output power, X5iii's single ended power is higher than X7ii + AM3A, but X7ii + AM3A balanced power is considerably more powerful than both X5iii balanced or SE.
In terms of specs both have similar SNR, THD+N, impedance, and crosstalk measurements
Both have very similar overall features too - and most of the time whatever is developed on X5iii and X7ii is shared on both devices.
In terms of tonality, the X5iii and X7ii + AM3A are different - with the X5iii being warmer overall (you could describe it as richness of tone), where the X7ii is more linear, more neutral, and because of this can sound more detailed and clearer. In terms of actual resolution - I don't think there is a real difference - both resolve beyond the limits of human hearing.
The X5iii is also significantly cheaper.
Preference will come down to how you like your default sound. I would not say one is necessarily better than the other and definitely not "by a huge margin". I am finding myself preferring the X7ii's more linear presentation - but again it depends on what YOU prefer. For instance if you preferred the iPod Classic 5 series over the 7 series, you'd likely enjoy the X5iii more.