| Common Name | Used in | Language | Type | Official Trade Name |
|---|---|---|---|---|
| Cockscomb cup coral | Canada | English | AFS | No |
| Cockscomb cup coral | USA | English | AFS | No |
| Cockscomb stony coral | Canada | English | Vernacular | No |
| Coral copa con cresta | Chile | Spanish | Vernacular | No |
| Crested cup coral | Chile | English | Vernacular | No |
| Scléractiniaire à crête | Canada | French | Vernacular | No |