I’ve spent the last few weeks drawing pictures of tuning systems, since I realized this is a good way to show off their mathematical beauty. Now I’ll start deploying them! I’ve al…| Azimuth
In Part 3 of this series, we figured out all the scales where we choose 7 notes from the 12 notes in the usual chromatic scale, with the property that the biggest step between notes is a whole tone…| Azimuth
In Part 3, we figured out all the 7-note scales drawn from the usual 12-tone scale and obeying an extra constraint: there’s at most a whole tone between consecutive notes. We got a total of 2…| Azimuth
The notes in the major scale are spaced in a funny way. Look at the white keys on the piano: some have black keys between them, other don’t. But you can understand the major scale using the c…| Azimuth
When you first learn about the major scale it’s fairly straightforward, because they tell you about just one major scale. But the minor scale is more tricky, because they tell you about three…| Azimuth
I’ve been away from my piano since September. I really miss playing it. So, I’ve been sublimating my desire to improvise on this instrument by finally learning a bunch of basic harmony …| Azimuth