jazz roster How Many Scales Are There?

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How many scales are there? How many scales exist or can exist? In this Jazz Piano Tutorial, I do a bit of maths to find out.

In Western Music, there are 12 notes in an octave. A Scale is just a way of combining some subset of these 12 notes. Some scales exist (Major/Minor/Blues) while others may be just hypothetical and not yet exist. But in theory, any combination of notes CAN be a scale. So, let’s say you could have anywhere from a 1 note scale to a 12 note scale.

For the moment let’s ignore ‘modes’. That is, let’s ignore the fact that if you start the same scale on a different root note and play all the same notes, you get a different scale. Let’s first assume that if the notes are the same, the root note doesn’t matter. So assume C Major and A natural minor are the same scale, again for the moment. Let’s also call this a ‘unique scale’.

Now you can use a mathematical formula called a ‘Combination’ or a ‘Binomial Coefficient’ to calculate the number of unique scales that exist in music. We can then sum all these up to find that there are 4095 different possible unique scales. But, as I said before, this doesn’t take into account the fact that if you play the same notes from a different root note, this is a new scale. There can be as many possible root notes as notes in the scale. So all we have to do is multiply our ‘Combination for each category of scales based on the number of notes in the scale‘ with the ‘number of notes in the scale’.

This tells us that there are 24,576 different possible scales in music.

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jazz roster How Many Scales Are There?
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