Musical compositions

97 Digits of Pi: score listen

Meditation on the Holy Sacrament (based on the Gregorian hymn Pange lingua): listen watch

Sonata in C after Haydn: listen

Sonata in E minor after Haydn: listen

Mrilâžðakh (Temptation): watch

Mužán Zapâri: score (theme) listen

Grand Croggon Rhapsody: score listen

• I. O Come All Ye Faithful (Adeste Fideles): score listen

• II. Holy God, We Praise Thy Name (Grosser Gott): score

• III. Faith of Our Fathers (St. Catherine): score

• IV. Rejoice! The Lord is King: score

I furnished the music for a short film for potential applicants to the Churchill Scholarship, the scholarship that funded my 1-year postbaccalaureate study at the University of Cambridge in 2015–16.

Also suited to this category are various improvisations for piano and electric keyboard:

From Darkness to Light: listen

Gone with the Winter Wind: listen

Sudden News: listen

Among musical forms, the canon (two or more voices singing or playing the same tune, but offset in time, and often in pitch as well) is one of the most mathematical in the sense that there is an added demand, above and beyond the limits of the style in question, that can make the working out of a piece a real challenge. I write at length about the more difficult kinds of canon in a recent paper in the Journal of Mathematics and Music. Here are some examples with MIDI recordings.

As an aid to hearing the separate voices, these recordings have been made in stereo sound best played through a pair of speakers or earbuds, rather than a single phone or laptop speaker.

Benedictus (3-in-1 asymmetric): score listen

Salve Regina (4-in-1 inverting): score listen

O Magnum Mysterium (8-in-4, quadruple canon for double chorus) score listen

Memorare (original chant): score listen

Ave Verum (for mixed chorus, in Romantic style): score listen

Personent hodie (harmonization of an anonymous Christmas carol, in Renaissance style): score

Domine non sum dignus (for mixed chorus, in Renaissance style): score

Hymn (part of the Harvard 2015 celebration "Battle Hymns"): listen

Missa Contemplationis:

• Kyrie: score

• Gloria: score

• Sanctus & Benedictus: score

• Agnus Dei: score

Missa «Ego Sum Panis Vivus», in Renaissance style based on Palestrina's motet of the same name:

• score

• Premiere at Most Precious Blood of Jesus Parish, Easter 2025:

  • Kyrie

  • Gloria

  • Sanctus & Benedictus

  • Agnus Dei

… and a ditty my mother wrote to help memorize the Greek alphabet: score listen