Murat Aydemir was born on October 23, 1971 in Hanover, Germany. In 1982, he started his studies at Istanbul Technical University Turkish Music Government Conservatory. During his studies at the Conservatory, which lasted for ten years, he studied tanbur with Necip Gülses and in 1992 he graduated from Instrument Education department. .

During 1989, he was a member of Cultural Ministry's Istanbul Government Classical Turkish Music Ensemble as a guest musician, whose general artistic director was Necdet Yaşar.

Aydemir recorded Ahenk Volume 1 (1977) and Ahenk Volume 2 (2008), collection of instrumental compositions and improvisations with Derya Türkan (kemençe) for Golden Horn Records in the United States. Subsequently, Kalan released these albums in Turkey. Duo performed during a nationwide concert tour with eight concerts in Germany in 2003 and with seven concerts in the state of California in the United States during September 2005.

In 2002, Aydemir recorded another duo album, Neva which was released in Turkey by Kaf Müzik in Turkey and later Golden Horn Records for worldwide release. In this recording, he was joined by ney (reed flute) player Salih Bilgin. Duo performed three concerts at Smithsonian Institute in Washington DC as part of museum's exhibition on Ottoman costumes. Their last album Neva 2 was published by Kaf Music in 2009.

Since 1997, he has been working with Incesaz, a group that was founded by Cengiz Onural, Derya Türkan and Murat Aydemir. İncesaz's eight released albums include. Eski Nisan (Aged April) İkinci Bahar (Second Spring) Eylül Şarkıları (September Songs) İstanbul'a Dair (About Istanbul) Mazi Kalbimde (Cherishing Bygone Days) Elif (Elif) Kalbimdeki Deniz (Sea in my heart) Yollar (Roads). Aydemir's music and compositions also accompany many TV series and documentaries. Incesaz performs many of Murat Aydemir's compositions in these recordings. Aydemir also plays lavta, another stringed instrument. 

In 2008 his solo album named Murat Aydemir Solo was published by Kalan Music. His second album Murat Aydemir Trio was published by Kalan Music in 2011. In this album he performed with Volkan Hursever Double bass and Reza Semani Tombak

In 2010 the book Makam Guide that he had written about Turkish Music Makams was published by the Agency of Istanbul 2010 European Capital of Culture. In 2012 To τουρκικό μακάμ was published in Greek by Fagotto Books Publishing and in 2013 Makam Rehberi was published in Turkish by Pan Publishing.

His trio album Itrî & Bach performed with Çağ Erçağ (cellist) and Ertan Tekin (duduk)