User:BudjarnLambeth/My opinion on zeta peak indexes
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I don't believe that zeta peak indexes are mathematically perfect, optimal equal tunings. I don't think that there is anything especially about zeta peak indexes that sets them apart from any other stretched/compressed-octaves or stretched/compressed-tritaves tuning.
But I still really like zeta peak indexes, because they are good enough for me. They usually approximate most of the the most important primes better than their pure-octaves/pure-tritaves equivalent edo/edt, with very few downsides.
This isn't because there's anything special about zeta peak indexes - any other method of slight equave stretching/compression would achieve exactly the same positive effects. Zeta peak indexes are probably not perfectly optimised.
But I don't care about perfect, I care about good enough. They are a good enough improvement upon their edo/edt counterpart that I'm happy with them.
And I like that they're very easy to name. It just looks so much cleaner to say "I used 127zpi for this track" rather than "I used 38.7cet" for this track. I like not having to just pick an arbitrary cents value.
It's the same reason why I like using a big edo to tune a rank-2 temperament: It's too hard having to choose between TOP and TE and POTE and WE and all of those. But if most of those agree that a particular edo is part of the temperament's optimal ET sequence, I'll just use that edo. I just like the simplicity of quantising to an edo, and I just can't be bothered fussing over hundredths of a cent.
So are zeta peak indexes special? No. Any other method of octave/tritave-stretch/compression works just as well.
But are they 'good enough'? Yes.
And do I still like them and want to use them? Yes.