| Taxon | Tetradymia canescens |
| group | Eudicots |
| Family | Asteraceae |
| Family common name(s) | composite; composita; comp; aster; asterwort; asterworts; sunflower; daisy; dandelion |
| Genus common name(s) | tetradymia; horsebrush; horse-brush; horse brush; cottonthorn; cotton-thorn; cotton thorn; felt-thorn; felt thorn; feltthorn |
| Species common name(s) | gray horsebrush; gray horse-brush; gray horse brush; grey horsebrush; grey horse-brush; grey horse brush; gray felt-horn; gray feltthorn; grey felt thorn; little gray horsebrush; spineless gray horsebrush; spineless horsebrush; spineless horse-brush; common horsebrush |
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| Common name(s) generally applied to other taxa or multiple taxa | Basin daisy, Basin-daisy are applied to multiple Asteraceae taxa |
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