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Originally Posted by Vris
What about 26/10? 104+40=144.
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It would have to be 26/8 (26*4+8*5=144), but that could work. Playing the 26 per opponent in division like you described with 13 (3-3-3-4) both home and away, then 8 either 4H/4A, 2&2H/4A, or 4H/2&2A would work out to all the totals (overall & H/A) coming out even.
You seem to want unbalanced, though that 26/8 is pretty far that way. The 21/12 above retains the evenness in the total matchups, but has the small differences in the H/A totals. In between there is something like 23-24/9-10, but the H/A splits would not be completely even, plus the intra- or inter-division matchups would have to vary by 1 game.