When I play with arababic maqam muisc, often notated in 24-EDO, my first instict for detempering is to to use a Pythagorean tunings for tonal notes and 11-limit tunigns for neutral tones.
0 : P1 :: 1/1 _ C
1 : As1 :: 33/32 _ Ct
2 : Grm2 : 256/243 _ Db
3 : AsGrm2 :: 88/81 _ Dbt
3 : DeAcM2 :: 12/11 _ Dd
4 : AcM2 :: 9/8 _ D
5 : AsAcM2 :: 297/256 _ Dt
5 : DeGrm3 :: 1024/891 _ Ebd
6 : Grm3 :: 32/27 _ Eb
7 : AsGrm3 :: 11/9 _ Ebt
7 : DeAcM3 :: 27/22 _ Ed
8 : AcM3 :: 81/64 _ E
9 : AsAcM3 :: 2673/2048 _ Et
9 : De4 :: 128/99 _ Fd
10 : P4 :: 4/3 _ F
11 : As4 :: 11/8 _ Ft
12 : AcAcA4 :: 729/512 _ F#
12 : GrGrd5 :: 1024/729 _ Gb
13 : De5 :: 16/11 _ Gd
14 : P5 :: 3/2 _ G
15 : As5 :: 99/64 _ Gt
15 : DeGrm6 :: 4096/2673 _ Abd
16 : Grm6 :: 128/81 _ Ab
17 : AsGrm6 :: 44/27 _ Abt
17 : DeAcM6 :: 18/11 _ Ad
18 : AcM6 :: 27/16 _ A
19 : AsAcM6 :: 891/512 _ At
19 : DeGrm7 :: 512/297 _ Bbd
20 : Grm7 :: 16/9 _ Bb
21 : AsGrm7 :: 11/6 _ Bbt
21 : DeAcM7 :: 81/44 _ Bd
22 : AcM7 :: 243/128 _ B
23 : De8 :: 64/33 _ Cd
24 : P8 :: 2/1 _ C
I'm sure that there are better options, but this one also isn't so bad.
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