### Let’s hear it for Logo! (2)

Continuing my re-discovery of Logo, I thought I’d try to implement a backtracking solution to finding a Hamiltonian cycle in…

### Let’s hear it for Logo!

Recently I had the occasion of helping my autistic son with some elementary mathematics. He’s very averse to writing, but…

### Approximating the sum of an infinite series (3)

In the last post I looked at Aitken’s delta-squared process, and showed its applicability to summing some alternating series. But…

### Approximating the sum of an infinite series (2)

Before we begin, some basic definitions. Suppose is a sequence that converges to a limit . We say that the…

### Approximating the sum of an infinite series

I started thing about this as I was preparing some material on the use of Matlab for teaching engineering mathematics…

### Tuning and temperament (5): Meantone and the syntonic comma

The Pythagorean comma may be considered as the difference in two ways of tuning 84 semitones: either as 12 fifths,…

### Tuning and Temperament (4): Tempering the cycle of fifths

We have seen that 12 justly tuned fifths will overshoot 7 octaves, so in order for them to match up,…

### Tuning and temperament (3): Just Intonation and Equal Temperament

We have seen in previous posts on this topic that: The perfect fifth corresponds to a frequency ration of 3/2…

### Tuning and temperaments

When I was tuning my bass viol the other day, I wondered if I was getting the best out of…

### Curious results of an incorrect “theorem”

I hope all readers of this blog (all three of you – you know who you are!) have heard of,…