Trying to pass parameters from Master to child template

I'm trying to pass list parameters from master to child template, however I'm running into two errors.. These are my current parameters on the master template.

"Parameters": {
    "ELBSubnets": {
        "Default": "subnet-5d8fea67,subnet-3e35cf15",
        "Type": "CommaDelimitedList"
    },
    "LCKeyPair": {
        "Default": "key-master",
        "Type": "String"
    },
    "LCSecurityGroups": {
        "Default": "sg-10a15c74,sg-880e5fec",
        "Type": "CommaDelimitedList"
    }
},

They are being referenced in this method on the same template when passing on to the child template.

    "ChildTempate1": {
        "Properties": {
            "Parameters": {
                "ELBSubnets": {
                    "Ref": "ELBSubnets"
                },
                "KeyPair": {
                    "Ref": "LCKeyPair"
                },
                "LCSecurityGroups": {
                    "Ref": "LCSecurityGroups"
                }
            },

On the child template, they are declared exactly the same.

"Parameters": {
    "ELBSubnets": {
        "Type": "CommaDelimitedList"
    },
    "LCKeyPair": {
        "Type": "String"
    },
    "LCSecurityGroups": {
        "Type": "CommaDelimitedList"
    }
},

And they're being referenced in this method in the child template.

            "KeyName": {
                "Ref": "LCKeyPair"
            },
            "SecurityGroups": {
                "Fn::Join": [
                    ",",
                    [
                        {
                            "Ref": "LCSecurityGroups"
                        }
                    ]
                ]
            }
        },

This is another part of the template.

            "Subnets": {
                "Fn::Join": [
                    ",",
                    [
                        {
                            "Ref": "ELBSubnets"
                        }
                    ]
                ]
            }
        },

When I attempt to use the fn::join on the master template, it says

"Template validation error: Template error: every Fn::Join object requires two parameters, (1) a string delimiter and (2) a list of strings to be joined or a function that returns a list of strings (such as Fn::GetAZs) to be joined."

When I don't use fn::join on the master template the error is

Value of property Parameters must be an object with String (or simple type) properties

Regardless of whether I have fn::join on the same parameters in the child template.

Both templates can be found here: http://ift.tt/1FtYz19