Temperament finder online

The commas can be specified as ratios with either colons or strokes, or as vectors surrounded by parentheses, brackets, or a ket. The following all specify the same unison vector.

• 81:80
• 81/80
• (-4,4,-1)
• [-4 4 -1]
• [-4, 4, -1, 0>

The limit can be in one of these formats:

• A number, which specifies a prime limit. If it isn't a prime, you get the next lowest prime.
• A list of partials separated by dots. For example, 2.3.5.7.11 for the 11-limit. Whether these are prime numbers or not, they become the prime intervals. You can also include fractions, for example 2.3.11/2.7 is a 7-limit with 11/2 replacing 5. You can only factorize ratios of the limit is specified with integers.
• Overtone numbers for a chord separated by colons. For example, A strange way of writing the 7-limit is 4:5:6:7:8 where you have to remember the 8 or octaves aren't included.
• A list of numbers in cents separated by spaces. For example, the 7-limit could be written as 1200.0 1902.0 2786.0 3386.0 if you really wanted to.

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