8539edo: Difference between revisions

While it may strike many people as too large to be practical, 8539edo has seen actual use as a bookkeeping device to keep track of higher-limit intervals which have been allowed to freely modulate, and has been proposed as a [[interval size measure|unit of interval measure]], the '''tina'''. This is because it is a very strong higher-limit system, distinctly [[consistent]] through the 27-odd-limit. It is a [[the Riemann zeta function and tuning #Zeta EDO lists|strict zeta]] tuning, and is also the first [[trivial temperament|non-trivial]] edo to be consistent in the 27-[[odd prime sum limit|odd-prime-sum-limit]]. In the 13-limit, the only smaller systems with a lower logflat badness are {{EDOs| 72, 270, 494, 5585 and 6079 }}; in the 17-limit, that becomes {{EDOs| 72, 494, 1506, 3395 and 7033 }}. In the 19-limit, where it really shines, nothing beats it in terms of logflat badness until [[20203edo|20203]].  

=== Prime harmonics ===