Some Eytan candidates

By this I mean numbers 4n such that the standard vals for 2n-1 and 2n+1
add up to the standard val for 4n, and all three have badness scores
below 2. All conditions except the requirement that generators be a
fifth are satisfied, and if Paul can call something which isn't an
approximate 5/4 a major third, it seems to me I can call something
which isn't an approximate 3/2 a fifth. Fair is fair. Paul? Is this
legitimate in your view, and if not, why not?

5-limit: 4, 8, 12

7-limit: 8, 12, 16, 32, 40, 56, 60, 72, 84, 224

11-limit: 16, 128, 176, 224, 320, 364, 460, 764, 1164

13-limit: 12, 16, 84, 176, 224, 320, 364, 624, 764, 1048

17-limit: 24, 224, 248, 296, 316, 320, 344, 364, 412, 460

19-limit: 24, 224, 248, 296, 316, 320, 344, 364, 412, 416, 460, 528,
768, 904, 1116