Tetracot: Difference between revisions
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'''Tetracot''', in this article, is the rank-2 [[regular temperament]] in the 2.3.5.11.13 [[subgroup]] [[generator|generated]] by a "sub-major" second of about 174–178{{cent}} which represents both [[10/9]] and [[11/10]]. It is so named because the generator is a quarter of fifth: four such | '''Tetracot''', in this article, is the rank-2 [[regular temperament]] in the 2.3.5.11.13 [[subgroup]] [[generator|generated]] by a "sub-major" second of about 174–178{{cent}} which represents both [[10/9]] and [[11/10]]. It is so named because the generator is a quarter of fifth: four such generators make a perfect fifth which approximates [[3/2]], which cannot occur in [[12edo]]. This results in [[100/99]], [[144/143]], and [[243/242]] being [[tempering out|tempered out]]. | ||
It can be seen as implying a rank-2 tuning Equal temperaments that support tetracot include {{EDOs| 27, 34, and 41 }}. | It can be seen as implying a rank-2 tuning Equal temperaments that support tetracot include {{EDOs| 27, 34, and 41 }}. | ||