14edo: Difference between revisions

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~~The '''~~14 equal divisions of the octave''' ('''14edo'''), or the '''14(-tone) equal temperament''' ('''14tet''', '''14et''') when viewed from a [[regular temperament]] perspective, is the tuning that divides the [[octave]] into fourteen equal steps of about 86 [[cent]]s. 14edo contains [[7edo]], doubling its number of tones.

== Theory ==

The character of 14edo does not well serve those seeking low-limit JI approaches, with the exception of 5:7:9:11:17:19 (which is quite well approximated, relative to other JI approximations of the low-numbered EDOs). However, the ratios 7/5, 7/6, 9/7, 10/7, 10/9, 11/7, 11/9, and 11/10 are all recognizably approximated, and if you accept that 14edo offers approximations of these intervals, you end up with a low-complexity, high-damage 11-limit temperament where the commas listed at the bottom of this page are tempered out. This leads to some of the bizarre equivalences described in the second "Approximate Ratios" column in the table below.

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 {{Infobox ET}}
-The '''14 equal divisions of the octave''' ('''14edo'''), or the '''14(-tone) equal temperament''' ('''14tet''', '''14et''') when viewed from a [[regular temperament]] perspective, is the tuning that divides the [[octave]] into fourteen equal steps of about 86 [[cent]]s. 14edo contains [[7edo]], doubling its number of tones.
+{{EDO intro|14}}
 == Theory ==
 The character of 14edo does not well serve those seeking low-limit JI approaches, with the exception of 5:7:9:11:17:19 (which is quite well approximated, relative to other JI approximations of the low-numbered EDOs). However, the ratios 7/5, 7/6, 9/7, 10/7, 10/9, 11/7, 11/9, and 11/10 are all recognizably approximated, and if you accept that 14edo offers approximations of these intervals, you end up with a low-complexity, high-damage 11-limit temperament where the commas listed at the bottom of this page are tempered out. This leads to some of the bizarre equivalences described in the second "Approximate Ratios" column in the table below.