54edo: Difference between revisions
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=== Octave stretch === | === Octave stretch === | ||
54edo’s approximations of 3/1, 5/1, 7/1, 11/1, 13/1, 17/1, 19/1 and 23/1 are all improved by [[Gallery of arithmetic pitch sequences#APS of mérides|APS4/5méride]], a [[Octave stretch|stretched-octave]] version of 54edo. The trade-off is a slightly worse 2/1. | 54edo’s approximations of 3/1, 5/1, 7/1, 11/1, 13/1, 17/1, 19/1 and 23/1 are all improved by [[Gallery of arithmetic pitch sequences#APS of mérides|APS4/5méride]], a [[Octave stretch|stretched-octave]] version of 54edo. The trade-off is a slightly worse 2/1. | ||
If one prefers a [[Octave shrinking|compressed-octave]] tuning instead, [[ed255/128#54ed255/128|54ed255/128]] is a good choice. It improves upon 54edo’s 3/1, 5/1, 11/1, 13/1, 17/1 and 19/1, at slight cost to the 2/1 and 7/1. | |||
There are also some nearby [[Zeta peak index]] (ZPI) tunings which can be used for this same purpose: 262zpi, 263zpi, 264zpi and 265zpi. The main Zeta peak index page details all four tunings. | There are also some nearby [[Zeta peak index]] (ZPI) tunings which can be used for this same purpose: 262zpi, 263zpi, 264zpi and 265zpi. The main Zeta peak index page details all four tunings. | ||
=== Subsets and supersets === | === Subsets and supersets === | ||