I'm familiar with how to get member properties into an MDX result-set: create a calculated member using WITH.
The problem is when the member whose properties I want is a measure, not a dimension member. Because the calculated member is created on the Measures hierarchy, I get the dreaded "The Measures hierarchy already appears in the Axis0 axis" error. Here's the query I'm running:
WITH MEMBER Measures.MeasureType AS
Measures.CurrentMember.Properties('MEMBER_TYPE')
SELECT
MeasureType ON 0,
Measures.Members on 1
FROM TheCube
What I'm after is simply a list of all the measures ON 1 (this works, in itself); but with the measure's MEMBER_TYPE showing as the one column ON 0