Society bible Tatler is publishing its debut Social Power Index, listing the the most influential figures for social occasions, partly based on where they are invited and by whom.
Young Harper is fourth on the magazine’s list, placed higher than her celebrity parents and a host of other big names.
She is described as a “front-row fixture” who “jets between Los Angeles, London and the Cotswolds”.
The Duke and Duchess of Cambridge take first place, with Tatler describing an invitation to their home as the “ultimate social trophy”.
Actor Idris Elba and wife Sabrina Dhowre are second.
The Duke and Duchess of Sussex are outside the top 10, which is not numbered, but they are “crowned the king and queen of global glamour”.
Those who make the top 10 include ex-England footballer Jamie Redknapp, BBC political editor Laura Kuenssberg, Little Mix star Perrie Edwards and her footballer boyfriend Alex Oxlade-Chamberlain, who “embody modern glamour and success”, and the Marquess and Marchioness of Cholmondeley.
David and Victoria Beckham are outside the top 10, along with comedian Jack Whitehall, Brooklyn Beckham and girlfriend Hana Cross, Sir Mick Jagger, Sir Elton John and David Furnish, Dame Joan Collins and Kate Moss and her boyfriend Count Nikolai von Bismarck.
On how the list is compiled, Tatler told ITV News: "The Social Power Index was compiled via a deep dive into the social, political and cultural data that Tatler's staff, contributors and undercover informants collect over the year.
"They know what's actually going on. The results are eclectic, surprising and authoritative."
The supermodel’s daughter Lila is also on the list, alongside Jeremy Clarkson, James Blunt and his wife Sofia Wellesley, and the Duke and Duchess of Cornwall.
The Social Power Index appears in the August issue of Tatler, available on newsstands and digital download on Thursday.
The top 10
The Duke and Duchess of Cambridge
Idris Elba and Sabrina Dhowre
Joseph and Sabine Getty
The Hon Will and Lohralee Astor
Lord and Lady Bamford
Alex Oxlade-Chamberlain and Perrie Edwards
The Marquess and Marchioness of Cholmondeley