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~~]] [[91/90]], [[126/125]], and [[245/243]]. ~~See~~ [[~~sensipent~~]] ~~for alternative extensions of 5-limit sensi~~.

'''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]].

It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of between 440–446{{cent}} 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; {{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.

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.

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

See [[Sensipent family #Sensi]] for more technical data, [[sensipent]] for alternative extensions of 5-limit sensi, and [[Sensi extensions]] for full 13-limit extensions of sensi.

== Intervals ==

@@ 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]] [[91/90]], [[126/125]], and [[245/243]]. See [[sensipent]] for alternative extensions of 5-limit sensi.
+'''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]].
-It can be seen as implying a rank-2 tuning which is [[generator|generated]] by an extremely sharp major third of between 440&ndash;446{{cent}} 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; {{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.
+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.
-See [[Sensipent family #Sensi]] for more technical data. For full 13-limit extensions of sensi, see [[Sensi extensions]].
+See [[Sensipent family #Sensi]] for more technical data, [[sensipent]] for alternative extensions of 5-limit sensi, and [[Sensi extensions]] for full 13-limit extensions of sensi.
 == Intervals ==