The Riemann zeta function and tuning: Difference between revisions

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Zeta EDO lists: added local zeta, anti-zeta and sloped-zeta edos
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=== Strict zeta EDOs ===
=== Strict zeta EDOs ===
We may define the ''strict zeta edos'' to be the edos that are in all four of the zeta edo lists. The list of strict zeta edos begins {{EDOs|2, 5, 7, 12, 19, 31, 53, 270, 1395, 1578, 8539, 14348, 58973}}... .
We may define the ''strict zeta edos'' to be the edos that are in all four of the above lists. The list of strict zeta edos begins {{EDOs|2, 5, 7, 12, 19, 31, 53, 270, 1395, 1578, 8539, 14348, 58973}}... .
 
=== Local zeta edos ===
Edos with a higher zeta peak than the edos on either side of them.
{{EDOs|5, 7, 10, 12, 15, 17, 19, 22, 24, 27, 29, 31, 34, 36, 38, 41, 43, 46, 48, 50, 53, 56, 58, 60, 63, 65, 68, 79, 72, 75, 77, 80, 82, 84, 87, 89, 91, 94, 96, 99}}
 
=== Anti-zeta edos ===
Edos with a lower zeta peak than the edos on either side of them.
{{EDOs|6, 8, 11, 13, 16, 18, 20, 23, 25, 28, 30, 33, 35, 37, 40, 42, 44, 47, 49, 52, 54, 57, 59, 61, 64, 66, 69, 71, 73, 76, 78, 81, 83, 86, 88, 90, 92, 95, 97}}
 
=== Sloped-zeta edos ===
Edos which are neither local zeta edos, nor anti-zeta edos.
{{EDOs|1, 2, 3, 4, 9, 14, 21, 26, 32, 39, 45, 51, 54, 62, 67, 70, 74, 70, 85, 93, 98}}


== Optimal octave stretch ==
== Optimal octave stretch ==