729edt: Difference between revisions
Created page with "{{Infobox ET}} 729 equal divisions of the tritave, 729edt, is the tuning system that divides the 3/1 interval into steps of 2.60899 cents each. 729edt is closely related..." |
Corrections (same consistency limit as 460edo and same temperament as 460et in the 23-limit) |
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729 equal divisions of the tritave, 729edt, is the tuning system that divides the [[3/1]] interval into steps of 2.60899 cents each. | 729 equal divisions of the tritave, 729edt, is the tuning system that divides the [[3/1]] interval into steps of 2.60899 cents each. | ||
729edt is closely related to [[460edo]], with the difference of 3/1 instead of 2/1 being just | 729edt is closely related to [[460edo]], with the difference of 3/1 instead of 2/1 being just. The mappings match through the 23-limit, where they temper out exactly the same commas. Overall, 729edt approximates harmonics 2, 3, 5, 13, and 17 exceptionally well, while 460edo only has this good of an error on the 19th harmonic. | ||
729edt tempers out the {{monzo|-81 28 -54}} comma which sets 27 intervals of [[25/24]] equal to the tritave. | 729edt tempers out the {{monzo|-81 28 -54}} comma which sets 27 intervals of [[25/24]] equal to the tritave. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|729|3|intervals=prime}} | ||