1210edo: Difference between revisions

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1210edo is [[consistent]] in the [[13-odd-limit]], though it is a sharp system with high errors and with all odd harmonics upwards to [[23/1|23]] except [[15/1|15]] tending sharp. As such, the tuning system would benefit from [[stretched and compressed tuning|octave compression]]. It can also be used as a 2.3.7.11.17.19-[[subgroup]] system for best accuracy.
1210edo is [[consistent]] in the [[13-odd-limit]], though it is a sharp system with high errors and with all odd harmonics upwards to [[23/1|23]] except [[15/1|15]] tending sharp. As such, the tuning system would benefit from [[stretched and compressed tuning|octave compression]]. It can also be used as a 2.3.7.11.17.19-[[subgroup]] system for best accuracy.


1210edo provides the [[optimal patent val]] for the [[titanium]] temperament in the 11- and the 13-limit. Aside from this, in the 11-limit it provides the [[optimal patent val]] for [[decoid]], [[baffin]], as well as the rank-3 temperament [[zisa]].
In the 11-limit, 1210edo provides the [[optimal patent val]] for [[decoid]], [[baffin]], as well as the rank-3 temperament [[zisa]]. It is also a strong tuning for the [[titanium]] temperament.


=== Odd harmonics ===
=== Odd harmonics ===