The Riemann zeta function and tuning: Difference between revisions

Akselai (talk | contribs)
Zeta edo lists: fixed one sentence + removed idiosyncracy (I don't want to appropriate big G's name here.)
Akselai (talk | contribs)
m k-ary peak edos: standardize hyphenation (there is indeed a hyphen)
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Note that ''tempered-octave'' zeta valley edos would simply be any zero of Z(x).
Note that ''tempered-octave'' zeta valley edos would simply be any zero of Z(x).


=== ''k''-ary peak edos ===
=== ''k''-ary-peak edos ===


{{Idiosyncratic terms|the term "k-ary peak edos" itself, as well as the names for the different types of k-ary peak edos. Proposed by [[User:Akselai]] and [[Budjarn Lambeth]].}}
{{Idiosyncratic terms|the term "k-ary-peak edos" itself, as well as the names for the different types of k-ary-peak edos. Proposed by [[User:Akselai]] and [[Budjarn Lambeth]].}}


If we want to find the second-best edos ranked by zeta peaks, then given a full list of zeta peaks, we can remove the successively higher peaks to get another sequence of succesively higher peaks, which correspond to edos called '''Parker edos'''.
If we want to find the second-best edos ranked by zeta peaks, then given a full list of zeta peaks, we can remove the successively higher peaks to get another sequence of succesively higher peaks, which correspond to edos called '''Parker edos'''.
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We can do this as many times as we want, resulting in '''''k''-ary peak edos'''. The ordinary peak edos are 1-ary (primary) peak edos, Parker edos are 2-ary (secondary) peak edos, and so on.
We can do this as many times as we want, resulting in '''''k''-ary-peak edos'''. The ordinary peak edos are 1-ary (primary)-peak edos, Parker edos are 2-ary (secondary)-peak edos, and so on.


=== Non-record edos ===
=== Non-record edos ===