Putting aside the fact that * is already matrix multiplication, there are lots of allowed user-defined operators that are “kind of like *” and have the same precedence (in fact, infinitely many):
- Any of the other Unicode symbols with the same precedence:
∧ ⊗ ⊘ ⊙ ⊚ ⊛ ⊠ ⊡ ⊓ ∗ ∙ ∤ ⅋ ≀ ⊼ ⋄ ⋆ ⋇ ⋉ ⋊ ⋋ ⋌ ⋏ ⋒ ⟑ ⦸ ⦼ ⦾ ⦿ ⧶ ⧷ ⨇ ⨰ ⨱ ⨲ ⨳ ⨴ ⨵ ⨶ ⨷ ⨸ ⨻ ⨼ ⨽ ⩀ ⩃ ⩄ ⩋ ⩍ ⩎ ⩑ ⩓ ⩕ ⩘ ⩚ ⩜ ⩞ ⩟ ⩠ ⫛ ⊍ ▷ ⨝ ⟕ ⟖ ⟗ - Just take
*(or one of the above) and add one or more of any of the allowed operator suffixes in Julia 0.7, e.g.*̂₁ᵃ′is an operator with the same precedence as*.
Similarly for + etcetera.
(It seems a lot clearer to me to write a *ₘ b than a `mytimes` b for an operator that is kind of like *.)