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 ~~woud~~ benefit from [[~~octave stretching~~|octave compression]]. It can also be used as a 2.7.11.17.19 system.

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]] ~~element~~ 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]].

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]].

=== Odd harmonics ===

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=== Subsets and supersets ===

Since 1210 factors as {{Factorization|1210}}, 1210edo has subset edos {{EDOs|1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605}}.

Since 1210 factors as {{Factorization|1210}}, 1210edo has subset edos {{EDOs| 2, 5, 10, 11, 22, 55, 110, 121, 242, 605 }}.

[[Category:Decoid]]

[[Category:Baffin]]

[[Category:Zisa]]

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 {{EDO intro|1210}}
-edo 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 woud benefit from [[octave stretching|octave compression]]. It can also be used as a 2.7.11.17.19 system.
+edo 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.
-edo provides the [[optimal patent val]] for the [[titanium]] element 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]].
+edo 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]].
 === Odd harmonics ===
@@ Line 10: / Line 10: @@
 === Subsets and supersets ===
-Since 1210 factors as {{Factorization|1210}}, 1210edo has subset edos {{EDOs|1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605}}.
+Since 1210 factors as {{Factorization|1210}}, 1210edo has subset edos {{EDOs| 2, 5, 10, 11, 22, 55, 110, 121, 242, 605 }}.
 [[Category:Decoid]]
+[[Category:Baffin]]
+[[Category:Zisa]]