Synonyma: Coryphantha runyonii Br. et R., Cact. 4: 26, 1923, Lepidocoryphantha runyonii (Britton et Rose) Backeberg, Cactaceae 5: 2975, 1961, Coryphantha macromeris ssp. runyonii (Britton et Rose) Taylor, in CITES 1999, Coryphantha macromeris subsp. runyonii (Britton et Rose) N.P. Taylor, Cact. Cons. Init. (6): 15, 1998, Mammillaria runyonii (Britton et Rose) Cory, Rhodora 38: 407, 1936, Coryphantha macromeris var. runyonii (Britton et Rose) Benson, Cact. Succ. J. (US) 41: 188, 1969, Lepidocoryphantha macromeris ssp. runyonii (Britton et Rose) Doweld, Sukkulenty 1999 (1): 28, 1999, Coryphantha pirtlei Werdermann, Notzbl. Bot. Gart. Berlin-Dahlem 12: 226, 1934,
Prekl. názv: runyonii = Robert Runyon, okolo roku 1921, zberatel kaktusov na juhu USA, zbieral pre dr. J. N. Rose.
Variety a formy: Tento taxón preradili do druhu Lepidocoryphantha macromeris, ako varietu.