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What is the derivation path of your ledger ETC account?
You can see it in ledger live. go in the ETC account, click the wrench icon, click “Advanced”, and look for freshAddressPath.
It will likely start by /44’/61’/0′ , which is normal since 61 is the slip44 coinID code for ETC.
The issue is that MetaMask will only use ETH derivation paths ( i.e. /44’/60’/… ), even if you set it to connect to ETC network. so it will never be able to access ETC accounts that use the proper 61 coinID.
So you won’t be able to access your ledger ETC account with MM…
Same with mycrypto, unless you can change the derivation path CoinID in mycrypto (I don’t remember if it is possible to do that).