Table of zeta-stretched edos: Difference between revisions
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This table lists tuning instructions for [[EDO|equal divisions of the octave]] which have been stretched or compressed using optimal octave stretch based on zeta peaks, as described here: [[the Riemann zeta function and tuning]]. | <noinclude>This table lists tuning instructions for [[EDO|equal divisions of the octave]] which have been stretched or compressed using optimal octave stretch based on zeta peaks, as described here: [[the Riemann zeta function and tuning]]. | ||
No such table could possibly be complete (as there are so many possible edos), so please add tunings of interest as you see fit. | No such table could possibly be complete (as there are so many possible edos), so please add tunings of interest as you see fit. | ||
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=== Table === | === Table === | ||
This is a complete list of all zeta peak-based octave tunings, which includes all EDOs up to 100 and certain noteworthy ones above 100. | This is a complete list of all zeta peak-based octave tunings, which includes all EDOs up to 100 and certain noteworthy ones above 100. | ||
{| class="wikitable sortable" | </noinclude>{| class="wikitable sortable" | ||
|+ style="font-size: 105%;" | Zeta-optimal tunings for selected EDOs | |+ style="font-size: 105%;" | Zeta-optimal tunings for selected EDOs | ||
! Tuning !! Associated edo !! No. of steps per 1200 cents !! Step size (cents) !! Tuning of 2/1 (cents) !! Gram point index | ! Tuning !! Associated edo !! No. of steps per 1200 cents !! Step size (cents) !! Tuning of 2/1 (cents) !! Gram point index | ||
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|- | |- | ||
| [[5818zpi]] || 684edo || 683.939 || 1.755 || 1200.107 || 5816 | | [[5818zpi]] || 684edo || 683.939 || 1.755 || 1200.107 || 5816 | ||
|} | |}<noinclude> | ||
== See also == | == See also == | ||
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[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
[[Category:Zeta peak indexes]] | [[Category:Zeta peak indexes]] | ||
</noinclude> | |||