Sensi: Difference between revisions

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'''Sensi''' is a [[Rank-2 temperament|rank-2]] [[regular temperament]] in the 2.3.5.7.13 [[subgroup]] [[generator|generated]] by an extremely sharp major third of between 440 and 446{{cent}} which represents both [[9/7]] and [[13/10]], which ~~tempers out~~ [[91/90]], [[~~126/125~~]]~~, and~~ [[~~245~~/~~243~~]]~~. It is so named because the generator is a "semisixth": two generators make a major sixth which approximates~~ [[5/3]], ~~which cannot occur in~~ [[~~12edo~~]].

'''Sensi''' is a [[Rank-2 temperament|rank-2]] [[regular temperament]] in the 2.3.5.7.13 [[subgroup]] [[generator|generated]] by an extremely sharp major third of between 440 and 446{{cent}} which represents both [[9/7]] and [[13/10]], such that two of these thirds stack to a major sixth which approximates [[5/3]], which cannot occur in [[12edo]]. This results in [[91/90]], [[126/125]], and [[245/243]] being tempered out.

Equal temperaments that support sensi include [[19edo]] (generator 7\19; [[soft]] [[sensoid]]), [[27edo]] (generator 10\27; [[supersoft]] sensoid), and [[46edo]] (generator 17\46; {{nowrap|L/s {{=}} 7/5}}, more optimized for sensi temperament). More obscure but significantly more accurate interpretations of its generator are given by [[sensible]] and especially [[sensipent]]'s extension to the 2.3.5.31 subgroup.

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-'''Sensi''' is a [[Rank-2 temperament|rank-2]] [[regular temperament]] in the 2.3.5.7.13 [[subgroup]] [[generator|generated]] by an extremely sharp major third of between 440 and 446{{cent}} which represents both [[9/7]] and [[13/10]], which tempers out [[91/90]], [[126/125]], and [[245/243]]. It is so named because the generator is a "semisixth": two generators make a major sixth which approximates [[5/3]], which cannot occur in [[12edo]].
+'''Sensi''' is a [[Rank-2 temperament|rank-2]] [[regular temperament]] in the 2.3.5.7.13 [[subgroup]] [[generator|generated]] by an extremely sharp major third of between 440 and 446{{cent}} which represents both [[9/7]] and [[13/10]], such that two of these thirds stack to a major sixth which approximates [[5/3]], which cannot occur in [[12edo]]. This results in [[91/90]], [[126/125]], and [[245/243]] being tempered out.
 Equal temperaments that support sensi include [[19edo]] (generator 7\19; [[soft]] [[sensoid]]), [[27edo]] (generator 10\27; [[supersoft]] sensoid), and [[46edo]] (generator 17\46; {{nowrap|L/s {{=}} 7/5}}, more optimized for sensi temperament). More obscure but significantly more accurate interpretations of its generator are given by [[sensible]] and especially [[sensipent]]'s extension to the 2.3.5.31 subgroup.