Music and mathematics

From the web site of the enterprising Spanish Early Music label Glossa whose new release Morales en Toledo I wrote about in my post Size does matter........

Music and Mathematics

Example

We are now working on the first recording on Glossa by the Italian ensemble, Cantica Symphonia. Called Quadrivium, the music is a selection of motets by Guillaume Dufay, beautifully performed with the careful addition of wind instruments and an organ.

But equally important are the two essays included in the small hard-cover book we are preparing. Mathematician Guido Magnano, who also happens to be Cantica Symphonia’s organ player, writes an outstanding piece about the importance of mathematics in music, and especially in Dufay’s music.

On the other hand, Giuseppe Maletto, the ensemble’s director, delivers his own view on the motets included on the CD. And, last but not least, Glossa’s designers are painstakingly preparing another groundbreaking set of images for this deluxe Glossa Platinum issue.

If you found this post interesting you may also like Kafka on the Shore
invisible hit counter

Comments

Post a Comment

Recent popular posts

Classical music's biggest problem is that no one cares

Image
These photos were taken by me in 2008 at independent record retailer Prelude Records in Norwich. Jordi Savall's impromptu viol recital and signing session preceeded two performances at the Norfolk and Norwich Festival. One was a solo recital by Jordi in Peter Mancroft Church ; the other was an immensely moving performance of his visionary Jerusalem multicultural project at the Theatre Royal*. As reported here Prelude Records closed earlier this year; it was a victim of predatory online retailing, and today its premises stand empty awaiting occupation by a mobile phone or E-cigarette retailer. The Norfolk and Norwich Festival has been the victim of savage funding cuts , but continues in a more modest form due to the dedicated work of its small management team. A few days ago I wrote about a two-thirds empty Snape Maltings concert and proposed that classical music's heartland is facing a perfect storm caused by the convergence of the shifts in consumer tastes and the r...
Read more

More Slipped Disinformation

Image
On Slipped Disc Norman Lebrecht crows that "BBC Radio 3 bounces back after summer disp... Radio 3 has risen again to 1.91 million, a quarterly increase of 106,000 listeners". This is misinformation. Because comparing the autumn/winter Q4 (Oct to Dec) figure of 1.91m with the summer Q3 (July to Sept) 1.81m is deliberately misleading. It does not take into account the seasonal change in radio listening: more people listen to the radio in autumn/winter than in the summer. The meaningful analysis, which is omitted from Norman's puffery, is the audience movement from the same quarter the previous year. BBC Radio 3's audience in Q4 2024 was 1.952m and in Q4 2025 was 1.912m. So, in fact, rather than bouncing back, Radio 3 showed a small - 40k - drop in audience year on year. For those preferring facts to misleading spin, the two relevant RAJAR reports are reproduced here - Q4 2025 above, Q4 2024 below.        
Read more

David Munrow - more than early music

Image
'David Munrow and the Early Music Consort of London transformed our view of medieval music. The impact of their performances far surparssed any that had gone before: by demonstrating how medieval music could sound normal, they created a niche for it in the concert hall and on record that it has never lost' ~ From Daniel Leech-Wilkinson's notes for Music of the Gothic era May 15 2007 is the thirty-first anniversary of the death of David Munrow. His contribution to the acceptance, understanding and performance of early music almost defies summary. He was born in 1942, and learnt the bassoon and recorder as a child. Between school and university he travelled and taught in South America , and started the collection of ethnic instruments that were to give him, and the world, a new perspective on early music making. He read English at Pembroke College , Cambridge, and was encouraged by Thurston Dart to take an active role in the music-making of that most musical of cities. ...
Read more

Those are my principles....

Image
Norman Lebrecht: Slipped Disc and   Lebrecht Weekly, 12/05/2023   "Why I cannot, in good conscience, review this record I cannot, in all conscience, give this recording a star rating, or even a detailed review. The soloist is Elisabeth Leonskaja, a legendary pianist whose introspections are perhaps the strongest living reminder of her late friend Sviatoslav Richter....Christian Thielemann, in the recent film ‘Music under the Swastika’, claimed that Wilhelm Furtwängler’s complicity in the Third Reich was justified by his legacy of extraordinary recordings.  Leonskaya’s presence in Putin’s Russia is not dissimilar. What are we to make of them?... The performances, per se, have nothing to do with the present situation. And yet, everything.I cannot review them". . ..and if you don't like my principles... well, I have others . Norman Lebrecht: Slipped Disc , 19/11/2025 "The Muziekgebouw in Eindhoven has cancelled a December 4 concert by the Russian-Georgian Jewish pia...
Read more

The purpose of puffery and closed-mindedness

Image
Two contrasting responses from America to my post Third rate music on Naxos' American classics? Flinging merde - ' Granted some of the stuff that Naxos has packaged in that series has been less than distinguished but operating in a cultural establishment where critics treat every cow patty ever dropped by the likes of Alwyn (above) and Bax and Finzi and Michael Tippitt (sic) as if it were fois gras, Clements is hardly in a position to fling merde' - from Sequenza21 , and I'm sure Norman Lebrecht would approve of that misspelling of Tippett. The true beauty of the effort - ' Personally speaking I expect listener reaction to concert music is heavily dependent on emotional mood and cultural/historical context . The concept of "ratings" and "tiers" for composers is pretty much an over-rated specialization of critics, which serves the purpose of puffery and closed-mindedness. My father is the American composer George Frederick McKay (photo be...
Read more

A vintage year for blasphemy and heresy

Image
2010 was a vintage year for blasphemy and heresy. A post on Salvador Dali drew attention to his forgotten audiovisual opera-poem Être Dieu inspired by the Cathar heresy, Jonathan Harvey stirred things up on my Chance Music programme by saying "the future must bring things which are considered blasphemous like amplifying classical music", while yet another path took me to new heights of heresy. In fact the path reached 2400 feet, which, as the photo above shows, is a serious challenge for anyone who, like me, who has a vertigo problem. I took the photo from the fortress of Quéribus in Languedoc, France and the view is towards Mont Canigou, the holy mountain beloved of Pablo Casals and Thomas Merton . Quéribus castle was the last Cathar stronghold to surrender in 1255 and Jordi Savall's The Forgotten Kingdom had led me to Languedoc and Catharism and on to Gnosticism. The Cathar heresy has its roots in the "dualist" religions in the Indus basin which origina...
Read more

Know your audience

Image
Recently Pulitzer Prize winning composer John Luther Adams (seen above)  announced he had moved  from the USA to Australia, explaining "the current situation in the United States was a major element in my decision to leave". Even by Slipped Disc standards the response to that announcement on Norman Lebrecht's industry-endorsed website was deeply unpleasant. Here are just a few of the comments deemed acceptable for publication on Slipped Disc .  Good riddance. Maybe he’ll take his rather tiresome music to Antarctica next. He can be closer to Muslim assassins. Wise choice Absolute loser  If that’s what passes as a top classical composer these days, no wonder the genre is doomed. What a jerk. As a critic you cannot possibly ignore how unbearable his compositions are (I carefully avoid the word music). Let's ignore what a potential classical music funder would conclude from a typical Slipped Disc narrative . Yes, the defense of free - if not particularly intell...
Read more

Specialisation is damaging classical music

Image
'I would go a little further. One of the issues we face today is the ever-increasing division of classical performances into small, ghetto-like compartments. Forty years ago Fischer-Dieskau could be a giant among singers whether he was performing Bach or Wagner, Schubert lieder or Weber operas. For modern performers that doesn't seem possible. The baroque period has largely been abandoned to specialists. Even performances of Mozart, Hadyn and even early Beethoven, which used to be a staple of most symphony orchestras' concert seasons, are becoming rarities. This over-specialisation makes for less rounded and perceptive musicians. What's more it creates a uniformity of performance style which becomes more and more difficult to challenge. What isn't clear to me is why this should have become the norm. As a lifelong listener it isn't a development I ever wanted and I can't believe the move towards clinical uniformity has done anything except drive audiences awa...
Read more

Critical Mass

Image
I'm a big fan of Marin Alsop . But last night her BBC Prom performance with the Bournemouth Symphony Orchestra playing her own sequence of the suites from Prokofiev's Romeo and Juliet was strangely unsatisfying. Tempi were pulled around, and rather than adding to the tension the wayward performance weakened it. When it finished I wanted some 'in your face' music making that was over the top, but which really worked. So as Marin Alsop was a pupil of Bernstein's I put on his 1971 recording of his own Mass , a work I don't listen to very often. Is Mass Bernstein's unrecognised masterpeice? Or is it a failed experiment in using the vernacular and exploiting street chic? (But wasn't the 'parody mass' a legitimate renaissance musical form which exploited contemporary music such as L'homme arme ?) My view used to be that Mass was simply a failed experiment, but I have to confess I am slowly moving towards the view that it may be a misunderstood m...
Read more

Audiences need permission to like unfamiliar music

Image
That photo of Sir Malcolm Arnold and Julian Bream appears on the late composer's website . Ten years ago I was literally very close to Sir Malcolm's music. He spent his final years being tended by his carer Anthony Day in Attleborough just a few miles from where I live in Norfolk. I managed Sir Malcolm's website and one of my first posts  about his music dates from that time. Following Sir Malcolm's death in 2006 I never lost my appreciation of his music, but it featured less frequently in my listening. However, recently I have returned to his symphonies, and listening to them again has raised some important questions. His nine symphonies are the product of a master craftsman. They move forward from Mahler and Shostakovich, yet should be immediately accessible to contemporary audiences saturated in the music of those two composers. But, despite this, Sir Malcolm Arnold's symphonies remain unknown outside a small circle of admirers. Why? Let me make it clear ...
Read more