The Jacobins: Difference between revisions

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 Named so because it is described as the 1789 & 3125 temperament due to 3125 providing the optimal patent val for the jacobin comma, 3125 is 5 to the 5th power, and Estates General were called by Louis XVI on 5th May 1789 (05/05). Defined starting with the 2.5.11.13.19 subgroup, upwards to the 2.5.11.13.19.23.29.31 subgroup.
-generators below 600 cents when stacked lead to 25289/10240, an interval which consists of three 11/8s and 20/19, and as such to [[26/19]] since the jacobin comma is tempered out. Likewise, three generators above 600 cents, "mavila fifths", lead to [[19/13]]. 24 generators below 600 cents lead to [[88/65]].
+generators below 600 cents lead to 25289/10240, and octave reduced to [[247/200]] since the jacobin comma is tempered out. 24 generators below 600 cents lead to [[88/65]].
 [[Subgroup]]: 2.5.11.13.19