POTE tuning: Difference between revisions

Since it's been revealed that this is not exactly the same as KE
Expand intro to cover otherwise normed tunings, and introduce a less confusing alternative term since there's a competitor
Line 1: Line 1:
'''POTE tuning''' ('''pure-octaves Tenney-Euclidean tuning''') is a good choice for a standard tuning enforcing a just 2/1 octave. It can be computed from [[TE tuning]] with all primes destretched until 2/1 is just.  
'''Destretched tunings''' are tuning optimization techniques with the [[tuning map]] scaled until a certain interval is just, that is, its stretch introduced in the optimization is removed. '''DTE tuning''' ('''destretched Tenney-Euclidean tuning''') is the most typical instance and will be the focus of this article. Otherwise normed tunings can be defined and computed analogously.
 
The most significant form of DTE tuning is pure-octave destretched, which is assumed unless specified otherwise. This has been called the '''POTE tuning''' ('''pure-octaves Tenney-Euclidean tuning'''). It is a good choice for a standard tuning enforcing a just 2/1 octave, and can be computed from [[TE tuning]] with all primes scaled until 2/1 is just.  


== Approximate Kees optimality ==
== Approximate Kees optimality ==