Solar Clawsome,
I'm intrigued by your suggestions of the Stone Shard being used for movement, be it in rotation in your first example or upward in your second. In my eyes, Stone Shards are best utilized for their sturdiness or weight, with both of these traits not catering particularly well to making pieces of the flute mechanism move. That is, unless the Stone Shard was imbued within/atop something akin to a pulley or bellows system, with the Stone Shard being able to increase or decrease the foundation Stone energy it exerts outside of its own form to potentially alter its own density, causing the pulley/bellows to rise and fall as needed to generate the mechanism's movement.
That said, it would make for a good use of a pulley mechanism, but if you were intending to use the Stone Shard to specifically fuel a bellows component, I would simply use an Air Shard to generate the push of air needed, rather than going the extra mile and fiddling with the extra bits of the mechanism required by the Stone Shard.
Also, perhaps it was a slip of your tongue, but did you mention a bound Order Shard? I have never seen Bound Shard rituals capable of binding a Magistarium Shard, only those capable of binding Foundation. But then again, as a Solar of the Guild, you may have access to more uncommon scrolls than I, even if you were to need an Earth caster to cast such a thing. In any case, I imagine that, with Foundation Stone being known for its steadfast and rigid actions, a Stone Shard could potentially be used to accomplish the same sort of task as you suggested the Order Shard for, relying on the stubborn stone energy to maintain a continual rhythm. But that's definitely a tricky one that might require casting in order to determine it being a possibility or not.
~ Gandian Ravenscroft