64edo: Difference between revisions

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=== Octave stretch ===
=== Octave stretch ===
64edo's approximations of 3/1, 5/1 and 11/1 are improved by [[ed257/128#64ed257/128|64ed257/128]], a [[Octave stretch|stretched-octave]] version of 64edo. The trade-off is a slightly worse 2/1.
64edo’s approximations of 3/1, 5/1, 7/1, 11/1 and 17/1 are improved by [[180ed7]], a [[Octave shrinking|compressed-octave]] version of 64edo. The trade-off is a slightly worse 2/1 and 13/1.


There are also some nearby [[Zeta peak index]] (ZPI) tunings which can be used for this same purpose: 326zpi, 327zpi, 328zpi and 329zpi. The main Zeta peak index page details all four tunings.
[[149ed5]] can also be used: it is very similar to 180ed7 but both the improvements and shortcomings are amplified.
 
If one prefers a ''stretched'' octave, 64edo's approximations of 3/1, 5/1 and 11/1 are improved by [[ed257/128#64ed257/128|64ed257/128]], a [[Octave stretch|stretched-octave]] version of 64edo. The trade-off is a slightly worse 2/1. The stretched 2/1 is more inaccurate than the compressed 2/1 from the previously mentioned tunings.
 
There are also some nearby [[Zeta peak index]] (ZPI) tunings which can be used to improve 64edo’s JI approximations: 326zpi, 327zpi, 328zpi and 329zpi. The main Zeta peak index page details all four tunings.


=== Subsets and supersets ===
=== Subsets and supersets ===