Hmmm, the Christian-Frederick swap might have been too ingrained at this point to where the two oldest boys would likely have been Frederik Christian and then Christian Frederik, but there is another option perhaps?Christian VI of Denmark (b.1693) m Louisa, Princess Royal (b.1692) in 1710
Issue:
Frederik, Prince of Denmark (b.1711: d.1718)
Christian, Crown Prince of Denmark (b.1713)
Mary, Princess of Denmark (b.1715)
stillborn (1717)
Vilhelm, Prince of Denmark (b.1720)
Louise, Princess of Denmark (b.1723)
miscarriage (1725)
Christian VI of Denmark (b. 1693) m. Louisa Mary, Princess Royal (b. 1692) in 1710
Issue:
Frederik Christian, Prince of Denmark (b. 1711 d. 1721)
Christian Frederik, Prince of Denmark (b. 1713 d. 1721)
Louise (b. 1715)
Miscarriage (1716)
Vilhelm I of Denmark (b. 1718)
Jakob, Prince of Denmark (b. 1720)
Marie Amalie (b. 1723)
Stillborn Daughter (1725)