Mike,
I am afraid that almost ALL the chords may have more than one name, especially if you include the "rootless" ones. Example: an Fmaj7 (F-A-C-E) is also a rootless Dm9, a Gm7 (G-Bb-D-F) is also a rootless C9/11, and so on... makes one think, uh?
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Korg Kronos 61 and PA3X-Pro76, Roland G-70, BK7-m and Integra 7, Casio PX-5S, Fender Stratocaster with Fralin pickups, Fender Stratocaster with Kinman pickups, vintage Gibson SG standard.