Egads. So what are the "powers/jurisdictions" of each?
The Board of Adjustment (BOA) is quasi-judicial. The BOA hears appeals from the determination of zoning code enforcement officials. The BOA interprets the zoning map and the zoning code text. The BOA grants/denies special exceptions and variances.
For the sake of this discussion, the BOA is the Tulsa
City BOA. The Tulsa
City BOA's jurisdiction is narrow. It concerns the
City of Tulsa's zoning code, and nothing else. See Chapter 16 of the zoning code.
The Tulsa Metropolitan Area Planning Commission (TMAPC) is a larger board which deals with broader planning concerns, zoning being one. The City of Tulsa doesn't have its own independent zoning commission, so the City relies on the TMAPC (which includes City and County appointees) and TMAPC staff. It doesn't have to be set up this way for zoning and land use planning, but currently it is.
The TMAPC recommends changes to the zoning code text and the zoning map to the City Council. See Chapter 17 of the zoning code, and see
tmapc.org.