Sensi: Difference between revisions

Line 3:

| en = Sensi

}}

'''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]].

'''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]]. See [[sensipent]] for alternative extensions of 5-limit sensi.

It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of 440–445{{c}} 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.

@@ Line 3: / Line 3: @@
 | en = Sensi
 }}
-'''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]].
+'''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]]. See [[sensipent]] for alternative extensions of 5-limit sensi.
 It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of 440&ndash;445{{c}} 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.