One of the most commonly used effects in music is delay. Delay is a simple time based effect that can be utilized to create a plethora of different sounds and textures. In the old analog days of recording, before the advent of digital delay units, delaying the sound was done by hand. In order to create a feedback delay, they did just that, by feeding back the delayed signal to the input in order to be recorded onto tape once again. With the advent of digital recording and all the fancy delay plug ins that have come with it, it is quite easy for us to apply, and sometimes overuse, our delay effects. One very popular delay technique is called tempo syncing. This is a delayed sound that stays in time with the music, typically on 1/8 and 1/16 notes between beats. In the digital realm this is quite easy since almost every plug in comes with a tempo sync option. You simply click the sync button and set the amount of delay you want accordingly, but there is a catch to this. There's no free lunch, and there's not always automatically tempo synced delay, especially for those of us who mainly record live instrumentation. The reason is that not everyone records with a click track all the time. The plug in needs to connect with you DAW's set click tempo in order to be able to sync up it's delay with different subdivisions of beats within your track. Luckily for us, there's MATHS!
Now, if you don't know the tempo, or bpm (beats per minute) of your song, don't fret. Listen to your track carefully and keep your eye on the clock, you're going to figure this one out with your brain, I know mine could use the exercise. Count out for ten seconds, you won't be exact, but you'll be close enough to fine tune your calculations later. Say you counted out 10 solid beats within your ten second time frame, here's a calculation to figure out your beats per minute.
10 * 6 = 60bpm (10 beats per 10 seconds equates to 60 beats per 60 seconds) Simple enough.
Now, we need to calculate the length of time per beat, then from there we can subdivide that accordingly.
60sec / 60 bpm = 1 second per beat of music.
Awesome. Since most of our delays use milliseconds to set delay time, we need to know how many milliseconds are in a single beat of our music. This is easy once you know how many seconds per beat, which we just did above.
1 second * 1000 = 1000 milliseconds per every beat. So...
60 / bpm * 1000 = ms/beat. Yea!
So if you set your delay time to 1000 ms, you will have a delay of exactly a quarter note. 500 ms gives you an 1/8 note delay, and 250ms gives you a 1/16 and so on.
Here it is in action.
This is a delay of 1000 ms. Notice how this doesn't work for this track since each note is played on the downbeat. The delayed notes mix with the played ones, sometimes creating an interesting harmony, but mostly sounding dissonant.
Here's a 500 ms delay with zero feedback. This would be an echo an 1/8 note after the beat.
The effect above is kind of boring, I must admit. So if you want an interesting sounding echo/delay, I suggest using dotted subdivisions of notes. That means a beat and a half of that beat, so a dotted 1/8 note would last an 1/8 of the beat plus another 1/16 after that, since 1/16 is half of 1/8. Add some feedback and depth and you get a pretty interesting sound.