Sensi: Difference between revisions

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| en = Sensi
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'''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]].
'''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).
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).
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{| class="wikitable right-1"
{| class="wikitable right-1"
|-
|-
! Generators
! #
! Cents<sup>*</sup>
! Cents<sup>*</sup>
! Approximate ratios<sup>†</sup>
! Approximate Ratios<sup>†</sup>
|-
|-
| 0
| 0
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== Chords ==
== Chords ==
{{main| Chords of sensus }}
{{Main| Chords of sensus }}


The "fundamental otonal consonance" of sensi (in this article's definition of sensi) is 4:5:6:7:9:13. However, the full chord isn't available in the 8-note MOS.
The "fundamental otonal consonance" of sensi (in this article's definition of sensi) is 4:5:6:7:9:13. However, the full chord isn't available in the 8-note MOS.
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=== Isomorphic layout ===
=== Isomorphic layout ===
{{see also| Lumatone mapping for sensi }}
{{See also| Lumatone mapping for sensi }}
 
This diagram shows a layout for playing sensi temperament on an [[isomorphic keyboard]].  
This diagram shows a layout for playing sensi temperament on an [[isomorphic keyboard]].  


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== Music ==
== Music ==
* [[Technical Notes for Newbeams #Tumbledown Stew]] by [[Andrew Heathwaite]]
; [[Andrew Heathwaite]]
* [[Technical Notes for Newbeams #Hypnocloudsmack 3]] by [[Andrew Heathwaite]]     
* [[Technical Notes for Newbeams #Tumbledown Stew|"Tumbledown Stew" from ''Newbeams'']]
* [[Technical Notes for Newbeams #Hypnocloudsmack 3|"Hypnocloudsmack 3" from ''Newbeams'']]


[[Category:Temperaments]]
[[Category:Temperaments]]
[[Category:Sensi| ]] <!-- main article -->
[[Category:Sensi| ]] <!-- main article -->
[[Category:Starling]]
[[Category:Sensipent family]]
[[Category:Sensipent family]]
[[Category:Sensamagic clan]]
[[Category:Sensamagic clan]]
[[Category:Sengic]]
[[Category:Starling temperaments]]
[[Category:Sengic temperaments]]
[[Category:Naiadic]]
[[Category:Naiadic]]