Additional ideas. A research project, and another design or two
Research project: The search for more transitions, First steps
Electric transition: Burning miad emerges from rapid heat transfer, can we make a different version using electricity?
Designs
Dull Miad synthesis: Through a combination of deep holes, tall towers, those who can manipulate the properties of the Miad, and a humble bow and arrow, we can hopefully begin synthesizing Dull Miad by launching objects downwards or upwards with great speed, with those who can control the properties of Miad lowering the threshold of the transition to improve the efficiency of the process. This process is to be done at night, reducing decay and giving us time to get it into safe storage. The resulting Dull Miad can be applied in various ways and experiments.
Entropic blast: By calling up beings with two properties, we can weaponize the entropic nature of deep beings when they inhabit objects. These two properties are the ability to transfer between objects once summoned, the second is increasing the rate of entropy for the object they inhabit at will. By conjuring these beings into small stones, our mages can then use them to destroy inanimate objects by transferring them into a target, then asking them to ramp up their entropic field, causing decay on whatever the target is, rotting it away.
Miad Flare: By conjuring Deep beings related to heat into objects, we can create objects which can generate and maintain heat transfers at the levels needed to create and grow Burning Miad crystals. Their main use right now is as flares and illumination, releasing large crystals into the sky which glow brightly for a short time, illuminating the battlefield. And also emitting a rather massive amount of heat. Be wary, the unwary use of these flares could result in fires. Big ones.
Sin Eaters: Soul dregs can grant power to humans at the cost of sanity, we have known this. So we have done it, creating soldiers imbued with soul dregs, making them stronger, faster, and more durable than the average man. However, arguably the greatest of their abilities are as follows, they can harvest additional soul dregs from those they kill, and consuming them will further empower them, each person they kill simply adding to their power. It is rumored that the Greatest sin eaters can develop the power to fly, cross battlefields in the blink of an eye, or even release blasts of power capable of throwing people back. In order to combat the loss of sanity from consuming soul dregs requires caution however, especially with the power they can accrue, these soldiers are subject to regular mental health checkups, to ensure they have a strong grip on their sense of self and reality as a whole. Those whose sanity degrade too much will be pulled back and placed in great luxury to recover with the help of our wisemen and shamans, who can help piece their minds back together until they can be sent back out onto the battlefield. (The sin eaters are meant to be basically vampires)
Recovery ward: For those who work with the Deep, Sanity is a resource, and one we should learn to replenish. On its own war can cause mental damage, throw magic into the mix and people can break. So, in order to ensure the sanity and mental state of any of us who use Soul dregs or lunamancy, or any other magics which can damage the mind, we need to develop a standardized, effective regiment for repairing the mind, just as we repair the body. Thus, the Recovery ward. A place of luxury, good companionship, and wise elders, along with those who study the mind, to help piece it back together. Calm, but with work to be done, simple, honest work, expanding out the ward, tending to the gardens, and so forth, to mend the souls of soldiers, and to give those who are repaired something to fight for. The main organizational challenge comes from establishing a means to screen for people who haven't gone off the deep end but are about to, a set of questions and observations that can be checked against a person's baseline to tell if they're about to snap, or if their grasp on reality and themselves is as strong as ever.
Lunar-Deep blade
A simple enough concept, using a Lunacy transformation to counteract the decay caused by a Deep being inhabiting an object. By using a transformation to reinforce the concept of longevity in a sword, it can be made to transform into a silvery blade which doesn't rust or decay normally, though it can be chipped and broken. The deep being inhabiting it hungers for death, and will consume soul dregs to enhance it's power, namely, these blades are abnormally sharp and can cut targets at range. They can Cut, and as they grow stronger this power grows more pronounced.
Death reinforcement
By using a shard of bone, which has a connection to death, we can use lunar transformation to create an object of death, a blade which inflicts death onto a targets. At short range at least. The resulting knife is an artifact of death, he who wields it can kill in a single blow any who come within reach, once per day.
Ritual of Death bringing
Every living thing has a bit of death in it, for with time, they will pass from this world. This ritual weaponizes it. A transformation. From living to dead. Enhanced through the power of soul dregs, objects of Death and mortality. This ritual when performed, will KILL everything in a target area. The area is about 1/2 a kilometer in diameter, and roughly circular. Notably, due to the way the ritual works, any who are not seen by the moon (exposed to moonlight) are not effected. However, any who are seen by the moon, shall die, transforming from living to dead.