Regular Temperament Finder
The limit can be in any of the following 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, 18.104.22.168.11 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.
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
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.
The target error is a parameter that determines
the badness of the temperaments you get out.
The formula is Ek = e/log2(L) where e is the
error and L is the largest harmonic in the limit
There's no expert's mode for providing Ek directly
because experts should be able to reverse engineer
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