Sensi: Difference between revisions

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Verbally note its relation to sensi (and BPS, as a bonus) cuz we're documenting this temp as a coherent 7-limit structure
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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]], 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.
'''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, making it an [[extension]] of both [[sensipent]] and [[BPS]].  


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


== Intervals ==
== Intervals ==