In a small saucepan, combine the shea butter and emulsifying wax. Heat on low until melted.
Once the oils have melted, add the clay and whisk well to remove any clumps.
Add the grated soap and water. Continue whisking over low heat until the soap is melted. You may notice some small soap clumps, that's okay! Keep stirring until the soap won't melt any further.
Remove the soap mixture from heat and add the glycerin and Leucidal Complete. Place the saucepan in an ice bath, and using an electric hand mixer, whip until the soap is light and fluffy. I prefer my soap to be like a firm whipped cream. If you prefer a softer soap, whip less. For a firmer soap, whip more.
While it's still somewhat soft, transfer the soap to a clean, dry lidded container.
Notes
Store the whipped soap in a cool, dry place away from direct sunlight.