3 ms·
12-note equal temperament is a reasonable local minimum but it is by no means the best in the sense of roughness: 31-note is better. Not to promote 31-note (wh
by SeanLuke 6y ago
12-note equal temperament is a reasonable local minimum but it is by no means the best in the sense of roughness: 31-note is better. Not to promote 31-note (which I do not use), but how is it that this article can arrive at 12-note in some sense of optimality with regard to roughness criteria when it is clearly not?
- HPsquared 6y agoCould a 31-note scale be enhanced further by adding more notes?
- SeanLuke 6y agoNope.
- sideshowb 6y agoHello. I wasn't suggesting 12 is optimal, so much as trying to explain the link between clustering and pianos. I guess by going for 2^7~=(3/2)^12 over other such correspondences I'm bringing some history to the table, intentionally or not.