At 16, Tavior was accepted as a second year student to the Jerusalem Academy of Music and Dance, receiving a full scholarship, where he studied under the pianists Jerome Lowenthal and Alisa Hertz-Sommer.

The couple decided to make their home on one of Mount Meron's extensions, where they established a hamlet they named "Hemdat Yamim."

Tavior performed recitals at various radio stations in Europe, including ones in Amsterdam, Brussels, Geneva, Zurich, Munich, Dublin and Frankfurt.

In 1983, Tavior appeared at New York University in a concert marking Brahms's 150th birthday, where he played some of the composer's works.

In the late 1970s Tavior led an orchestra in Carmiel, Israel, funded by the national government and the Galilee Project with the aim of encouraging development in the region.

In honor of the 15th of the Hebrew calendar month of Av or Āḇ (Tu b'Av), Tavior appears at Hemdat Yamim with the Tel Aviv Chamber Choir.

In 2011 2014 and 2017, Tavior conducted concerts to mark the Holocaust Memorial Day at the United Nations' institution in Geneva, Switzerland with the same group.

Tavior composed eight oratorios for symphony orchestra and soloists: Shema Israel (2003), Vision of the Valley of Dry Bones (2004), Mount Sinai (2006), The End of Days (2007), The Wisdom of Solomon (2011), In Thy Blood Live (see, Ezekiel 16:6) (2012), And I Have Pleaded (2014) and, In the Land of Moriah (2015).