Sensamagic: Difference between revisions

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| Odd limit 2 = 11-limit 21 | Mistuning 2 = 5.11 | Complexity 2 = ?

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'''Sensamagic''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/~~4|classical major third (5/4)~~]] as a stack ~~consisting~~ of two [[9/7|supermajor thirds ~~(9/7)]] and a [[3/2|perfect fifth]] [[octave reduction|octave reduced]]~~, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]], and ~~the~~ canonical [[11-limit]] [[extension]] ~~adding~~ [[385/384]] and [[896/891]] to the comma list makes it a member of both [[keenanismic temperaments]] and [[pentacircle clan]].

'''Sensamagic''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/3]] major sixth as a stack of two [[9/7]] supermajor thirds, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]].

It favors a sharp supermajor third, and subtracting such a third from a [[4/3|perfect fourth]] produces a narrow subminor second of [[28/27]][[~]][[36/35]]. The canonical [[11-limit]] [[extension]] identifies this interval with [[33/32]], so that [[11/8]] is that plus a perfect fourth. This adds [[385/384]] and [[896/891]] to the comma list and makes it a member of both [[keenanismic temperaments]] and [[pentacircle clan]].

The temperament was named after the corresponding comma, which was named by [[Gene Ward Smith]] in 2010. See [[245/243 #Etymology]].

@@ Line 11: / Line 11: @@
 | Odd limit 2 = 11-limit 21 | Mistuning 2 = 5.11 | Complexity 2 = ?
 }}
-'''Sensamagic''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/4|classical major third (5/4)]] as a stack consisting of two [[9/7|supermajor thirds (9/7)]] and a [[3/2|perfect fifth]] [[octave reduction|octave reduced]], [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]], and the canonical [[11-limit]] [[extension]] adding [[385/384]] and [[896/891]] to the comma list makes it a member of both [[keenanismic temperaments]] and [[pentacircle clan]].
+'''Sensamagic''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/3]] major sixth as a stack of two [[9/7]] supermajor thirds, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]].
+It favors a sharp supermajor third, and subtracting such a third from a [[4/3|perfect fourth]] produces a narrow subminor second of [[28/27]][[~]][[36/35]]. The canonical [[11-limit]] [[extension]] identifies this interval with [[33/32]], so that [[11/8]] is that plus a perfect fourth. This adds [[385/384]] and [[896/891]] to the comma list and makes it a member of both [[keenanismic temperaments]] and [[pentacircle clan]].
 The temperament was named after the corresponding comma, which was named by [[Gene Ward Smith]] in 2010. See [[245/243 #Etymology]].