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His solo album Quartets, which are four simultaneous clarinet improvisations on all sizes of the instrument is widely recognized as the finest modern clarinet album not just in terms of it's virtuosic range but it's emotional and spiritual elements born from years of eastern music study, well beyond the standard jazz improvisation repertoire.

Buckingham has collaborated with the likes of Pressure Zones/Simply Red keyboardist and producer Dave Clayton to the worlds leading analogue music artist and producer Simon Yorke in which they have recently released the experiment spoken word, clarinet double LP "Farrago". This album is sought after and supplied with Yorke's leading turntables to analogue audiophiles throughout the world. He has also played and recorded for U.S jazz vocalist Sirena Riley in what has been hailed as one of the most successful woodwind vocal collaborations in modern jazz. Buckingham also regularly performs with keyboardist Harry Whalley as well performing with Pianist Tom Donald at the U.K National Opera Studio in which they have performed completely improvised recitals.

Buckingham is also an established woodwind composer and arranger (as opposed to an improviser) in writing woodwind arrangements of Ravel works as well as a huge catalogue of pieces for music education which are taught world-wide. As an educator Mark has been heavily involved in composing/writing publications for learning to improvise on all instruments. He has taught at Steiner school's in Northern Ireland and London, where it's method of education has had an active influence on his education works and compositions.

As a band leader Mark plays with his two sons Theo and Max on regular occasions and their performances are not only sought after by London audiences but also many London based musicians who perform with them.

Buckingham is endorsed by Trevor J. James & Co. He uses a custom built Signature Custom Tenor Saxophone, hand built and setup to his specification by David Farley.