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The '''la brea second''' is a 5-limit interval measuring about 161[[Cent|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80|syntonic commas]]. | The '''la brea second''' is a 5-limit interval measuring about 161[[Cent|¢]]. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80|syntonic commas]]. | ||
Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 | Tempering it out leads to rank-2 [[la brea]] temperament, which splits the octave into two ~27/20 intervals and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence#JI scales obtained from guided generator sequences|Zarlino generator sequence]] starting from 6/5 are tempered to one and a half octaves. Reasonable higher-limit extensions to this temperent probably exist. | ||
== Etymology == | == Etymology == | ||
This interval was named by [[User:Tristanbay|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out. | This interval was named by [[User:Tristanbay|Tristan Bay]] in August 2024 in reference to the ''taric'' [[MOS scale]] pattern that can be formed from tempering it out. | ||