He’s back! Great article, and great subject. I think it’s interesting enough to mention that the “ultimate goal” is to play the intervals of the harmonic series (1/1, 1/2, 1/3, 1/4, 1/5...), which is where “harmony” comes from, but we have to quantize them somehow and there’s lots of approaches to that, which results in many tuning systems.
Thank you sir. This is the mathematics behind the "approximation rather than perfection" of the 12-TET. It approximates reasonably well each interval, but none of them perfectly. Meanwhile, as I'm sure you know, something like the "Bach temperament" is a closer approximation of some intervals, such as fifths, while approximating other intervals not as well.
He’s back! Great article, and great subject. I think it’s interesting enough to mention that the “ultimate goal” is to play the intervals of the harmonic series (1/1, 1/2, 1/3, 1/4, 1/5...), which is where “harmony” comes from, but we have to quantize them somehow and there’s lots of approaches to that, which results in many tuning systems.
Thank you sir. This is the mathematics behind the "approximation rather than perfection" of the 12-TET. It approximates reasonably well each interval, but none of them perfectly. Meanwhile, as I'm sure you know, something like the "Bach temperament" is a closer approximation of some intervals, such as fifths, while approximating other intervals not as well.
I remember Tolgahan!!!
That's true :) He was actually performing at a Spanish institution associated with Berklee last week. But alas, I didn't have an EU visa...