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> I’d like to know if a passphrase’s entropy is in part dependent on whether it is „on top of“ a 12 or 24 word seed phrase?
No, it is not dependent on the bits of entropy of the seed mnemonic. The bits of entropy of the passphrase is simply a function of how it is constructed. For example a 50 digit hex passphrase would have 200 bits of entropy, whereas a 12 word seed mnemonic has 128 bits of entropy and 24 word seed mnemonic has 256 bits of entropy.
> i.e. is the same passphrase of say 7 dice words as secure on a 12 word seed phrase as it would be on a 24 word?
True, assuming you can cram 7 diceware words into 50 bytes.
> If it is as secure, then a 12 wore sp would be easier to memorize, and if most of ones funds are passphrase protected then it would be just as secure as the 24 word option.
In practice… true. This due to the fact that, in calculus, `x * ∞ = y * ∞` for all real numbers `(x,y)`. That’s not formally true, but the gist of it is. In this context, 128 bits of entropy is effectively „infinite“ security. Having „double infinite“ security or „infinite squared security“ is just not that much more infinite.