Nested Wordpress Shortcodes of Different Types

How would you do a shortcode wrapper that can differentiate between different nested shortcodes.

[teaching_tool_wrapper param1="true" param2="false"]
    [chord param1="something"]
    [scale param1="something-else"]
[/teaching_tool_wrapper]

I have it working fine with just the [chord] shortcode, however i'm not sure how to get the wrapper differentiating between the two different types of nested shortcodes.