Frequency temperament: Difference between revisions

CompactStar (talk | contribs)
CompactStar (talk | contribs)
No edit summary
Line 1: Line 1:
'''Arithmetic temperaments''' are the arithmetic counterpart to [[regular temperament]]s. Whereas regular temperaments are created by reducing integer powers of a [[generator]], an arithmetic temperament is created by reducing integer multiples of a generator. The n-th interval in an arithmetic temperament prior to octave-reduction is given by n*g + 1, where g is the generator.
'''Arithmetic interval chains''' are interval chains similar to [[regular temperament]]s. Whereas regular temperaments are created by reducing integer powers of a [[generator]], an arithmetic interval chain is created by reducing integer multiples of a generator. The n-th interval in an arithmetic interval chain prior to octave-reduction is given by n*g + 1, where g is the generator.


For example, this is the interval chain of an arithmetic temperament with a generator of 0.29 and period [[2/1]]:
For example, this is an arithmetic interval chain with a generator of 0.29 and period [[2/1]]:


<pre>
<pre>