View source for User:Jerdle/Beryl

=Beryl=
Beryl is a loose group of temperaments that temper out the [[berylisma]].

==Emerald==
Emerald tempers out the [[kalisma]] and the [[berylisma]], creating a rank-4 temperament in the 2.3.5.7.11.37 subgroup. This resembles berylismic, but the use of the kalisma allows the high primes to be calculated in terms of the low ones and the quarters of the octave. [[11/8]] is [[36/35]] flat of 2\4, and [[37/32]] is 36/35 flat of 1\4.

==Goshenite==
Goshenite takes emerald and adds some simpler commas, namely the [[rastma]] and [[4107/4096]]. However, this is simply an extension of [[hours]] to the 2.3.5.7.11.37 subgroup.

==Aquamarine==
Because of the association of 13 with [[the Archipelago]] and [[the Biosphere]], the 2.3.5.7.11.13.37 extension of goshenite is called aquamarine. It equates [[15/13]] with [[37/32]], tempering out the [[481/480]] comma.

Again, this is [[hours]].