729/640: Difference between revisions

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== Approximation ==
== Approximation ==
This interval is well approximated by three steps of [[16edo]], and 16 of them exceed three octaves by the comma (729/640)<sup>16</sup>/2<sup>3</sup> = 3<sup>96</sup>/(2<sup>115</sup>×5<sup>16</sup>) = {{monzo|-115 96 -16}} (lela-quadquadgu negative 6th, ~6.66 cents).  In addition, this interval differs from [[256/225]] (Neapolitan diminished third) by the [[schisma]].
This interval is well approximated by three steps of [[16edo]], and 16 of them exceed three octaves by the comma (729/640)<sup>16</sup>/2<sup>3</sup> = 3<sup>96</sup>/(2<sup>115</sup>×5<sup>16</sup>) = {{monzo|-115 96 -16}} (lela-quadquadgu negative 6th, ~6.66 cents).  In addition, this interval differs from [[256/225]] (Neapolitan diminished third) by the [[schisma]]. Furthermore, it exceeds [[25/22]] by [[8019/8000]], the minortone comma, and falls short of [[8/7]] by [[5120/5103]], the hemifamity comma.


== See also ==
== See also ==