Monzo: Difference between revisions
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For example, the interval 15/8 can be thought of as having <math>5⋅3</math> in the numerator, and <math>2⋅2⋅2</math> in the denominator. This can be compactly represented by the expression <math>2^{-3} \cdot 3^1 \cdot 5^1</math>, which is exactly equal to 15/8. We construct the monzo by taking the exponent from each prime, in order, and placing them within the {{Monzo| ... }} brackets, hence yielding {{Monzo|-3 1 1}}. | For example, the interval 15/8 can be thought of as having <math>5⋅3</math> in the numerator, and <math>2⋅2⋅2</math> in the denominator. This can be compactly represented by the expression <math>2^{-3} \cdot 3^1 \cdot 5^1</math>, which is exactly equal to 15/8. We construct the monzo by taking the exponent from each prime, in order, and placing them within the {{Monzo| ... }} brackets, hence yielding {{Monzo|-3 1 1}}. | ||
:'''Practical hint:''' | :'''Practical hint:''' the monzo template helps you getting correct brackets ([[Template:Monzo|read more...]]). | ||
Here are some common 5-limit monzos, for your reference: | Here are some common 5-limit monzos, for your reference: |