The closest thing to a diatonic scale is using the neutral third to generate a 3L 4s scale.
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3L 1s
Since 10edo is a small edo, this can easily be compressed down to 3L 1s or even 1L 2s to extend your range without impacting playability.
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Blackwood + Decimal/Lemba
Since 10edo is a tuning of blackwood, a blackwood mapping can work (although it is not the most efficient in terms of note usage), as demonstrated in Onett's Stick Bug (2019?) – microtonal cover in 10edo by Bryan Deister (2026). The scale is 4L 2s with a 2:1 step ratio, as in decimal and lemba temperaments. The octaves slope up with the rows (as expected for Blackwood) or slightly downwards with the scale, and the range is just under 6 octaves, with the potential for division into multiple manuals (although the upper and lower ones will necessarily be partial or wedge-shaped, depending upon details of the division).