Sensi: Difference between revisions

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

'''Sensi''', in this article, is the 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 ~~for the 2.3.5.7.13 subgroup~~ 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).

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).

See [[Sensipent family #Sensi]] or [[Starling temperaments #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 regular temperament defined by tempering out [[245/243]], [[126/125]], and [[91/90]].
+'''Sensi''', in this article, is the 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 for the 2.3.5.7.13 subgroup 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).
+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).
 See [[Sensipent family #Sensi]] or [[Starling temperaments #Sensi]] for more technical data. For full 13-limit extensions of sensi, see [[Sensi extensions]].