1789edo: Difference between revisions

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The '''1789 equal divisions of the octave''' ('''1789edo'''), or the '''1789-tone equal temperament''' ('''1789tet'''), '''1789 equal temperament''' ('''1789et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 1789 [[equal]] parts of about ~~{{#expr:(1200/1789) round 3}}~~ [[cent]]s each.

The '''1789 equal divisions of the octave''' ('''1789edo'''), or the '''1789-tone equal temperament''' ('''1789tet'''), '''1789 equal temperament''' ('''1789et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 1789 [[equal]] parts of about 671 [[cent|millicent]]s each. It is the 278th [[prime edo]].

It is the 278th [[prime edo]]. Perhaps the most notable fact about 1789edo, is the fact that it tempers out the jacobin comma ([[6656/6655]]), which is quite appropriate for edo's number. Although there are temperaments which are better suited for tempering this comma, 1789edo is unique in that it's number is the hallmark year of the French Revolution, thus making the temperance of the Jacobin comma on topic.

Perhaps the most notable fact about 1789edo, is the fact that it tempers out the jacobin comma ([[6656/6655]]), which is quite appropriate for edo's number. Although there are temperaments which are better suited for tempering this comma, 1789edo is unique in that it's number is the hallmark year of the French Revolution, thus making the temperance of the Jacobin comma on topic.

== Theory ==

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-The '''1789 equal divisions of the octave''' ('''1789edo'''), or the '''1789-tone equal temperament''' ('''1789tet'''), '''1789 equal temperament''' ('''1789et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 1789 [[equal]] parts of about {{#expr:(1200/1789) round 3}} [[cent]]s each.
+The '''1789 equal divisions of the octave''' ('''1789edo'''), or the '''1789-tone equal temperament''' ('''1789tet'''), '''1789 equal temperament''' ('''1789et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 1789 [[equal]] parts of about 671 [[cent|millicent]]s each. It is the 278th [[prime edo]].
-It is the 278th [[prime edo]]. Perhaps the most notable fact about 1789edo, is the fact that it tempers out the jacobin comma ([[6656/6655]]), which is quite appropriate for edo's number. Although there are temperaments which are better suited for tempering this comma, 1789edo is unique in that it's number is the hallmark year of the French Revolution, thus making the temperance of the Jacobin comma on topic.
+Perhaps the most notable fact about 1789edo, is the fact that it tempers out the jacobin comma ([[6656/6655]]), which is quite appropriate for edo's number. Although there are temperaments which are better suited for tempering this comma, 1789edo is unique in that it's number is the hallmark year of the French Revolution, thus making the temperance of the Jacobin comma on topic.
 == Theory ==