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The violinist and percussionist are among those suggested by the Saltire Society to gain the title in celebration of National Women's Day.
Scots from every walk of life are to be honoured in a new project for International Women's Day. Following a two-week Twitter poll to generate nominations, Scotland's female pioneers will be recognised with a permanent online archive of their achievements.
Alongside classical musicians Benedetti and Glennie, other possible contenders suggested by the society include suffragette Elsie Inglis, Deputy First Minister Nicola Sturgeon, actress Kelly MacDonald and singer Annie Lennox.
Speaking to The Scotsman, Outstanding Women of Scotland campaign spokeswoman Susan Garnsworthy said: "As we look forward to celebrating International Women’s Day, I’m struck by how many Scottish women have made their own indelible mark on the cultural life of our country and far beyond.
"The Saltire Society exists to promote and celebrate Scottish culture and heritage. Over the centuries, the contribution of Scotland’s women to the cultural life of this country has been truly remarkable.
"In so many walks of life, it is as often the women of this country who have carried the torch for Scotland on a global stage as their male counterparts. International Women’s Day is the ideal opportunity to celebrate their achievements."
Nominations are now being accepted on Twitter, using the #saltirewomen hashtag. The list will be collated in time for National Women's Day on 8 March.