User:Jerdle/Beryl: Difference between revisions
Added new commas, but just got hours. |
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=Beryl= | =Beryl= | ||
Beryl is a loose group of | Beryl is a loose group of temperaments that temper out the [[berylisma]]. | ||
==Emerald== | ==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. | 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== | ==Aquamarine== | ||
Because of the association of 13 with [[the Archipelago]] and [[the Biosphere]], the 2.3.5.7.11.13.37 extension of | 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]]. | |||
Latest revision as of 02:43, 14 February 2025
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.