Sensi: Difference between revisions

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'''Sensi''', in this article, is the [[Rank-2 temperament|rank-2]] [[regular temperament]] for the 2.3.5.7.13 [[subgroup]] defined by [[tempering out]] [[245/243]], [[126/125]], and [[91/90]].

It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of about 443 cents which represents both [[9/7]] and [[13/10]]. 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]]. Equal temperaments that support sensi include [[19edo]] (generator 7\19; [[soft]] [[sensoid]]), [[27edo]] (generator 10\27; [[supersoft]] sensoid), and [[46edo]] (generator 17\46; 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.

It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of about 443 cents which represents both [[9/7]] and [[13/10]]. 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]]. Equal temperaments that support sensi include [[19edo]] (generator 7\19; [[soft]] [[sensoid]]), [[27edo]] (generator 10\27; [[supersoft]] sensoid), and [[46edo]] (generator 17\46; 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.

See [[Sensipent family #Sensi]] for more technical data. For full 13-limit extensions of sensi, see [[Sensi extensions]].

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 '''Sensi''', in this article, is the [[Rank-2 temperament|rank-2]] [[regular temperament]] for the 2.3.5.7.13 [[subgroup]] defined by [[tempering out]] [[245/243]], [[126/125]], and [[91/90]].
-It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of about 443 cents which represents both [[9/7]] and [[13/10]]. 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]]. Equal temperaments that support sensi include [[19edo]] (generator 7\19; [[soft]] [[sensoid]]), [[27edo]] (generator 10\27; [[supersoft]] sensoid), and [[46edo]] (generator 17\46; 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.
+It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of about 443 cents which represents both [[9/7]] and [[13/10]]. 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]]. Equal temperaments that support sensi include [[19edo]] (generator 7\19; [[soft]] [[sensoid]]), [[27edo]] (generator 10\27; [[supersoft]] sensoid), and [[46edo]] (generator 17\46; 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.
 See [[Sensipent family #Sensi]] for more technical data. For full 13-limit extensions of sensi, see [[Sensi extensions]].