Miscellaneous 7-limit temperaments: Difference between revisions

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 == Nuwell ==
 : ''For extensions, see [[Biyatismic clan #Big brother]].''
+Nuwell tempers out the [[nuwell comma]] in the 7-limit, and identifies [[15/8]] by a stack of four [[7/6]]'s. An obvious 11-limit extension then finds [[11/8]][[~]][[15/11]] as an exact half of it, tempering out [[99/98]] and [[121/120]].
 [[Subgroup]]: 2.3.5.7
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 == Squalentine ==
 : ''For extensions, see [[Biyatismic clan #Aphrodite]].''
+Squalentine tempers out the [[squalentine comma]] in the 7-limit. Its generators can be taken to be 2, 3, and [[21/20]], and it equates (21/20)<sup>3</sup> with 8/7. An obvious 11-limit extension then equates the last generator with [[22/21]], tempering out [[121/120]] and [[441/440]]. Notice also 64827/64000 = (121/120)⋅(441/440)<sup>2</sup>.
 [[Subgroup]]: 2.3.5.7
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 : ''For extensions, see [[Kalismic temperaments #Linus]].''
-Linus tempers out the [[linus comma]] in the 7-limit, and equates a splits the octave into twelve equal parts of [[~]][[15/14]]. The obvious 11-limit extension tempers out the kalisma, [[9801/9800]].
+Linus tempers out the [[linus comma]] in the 7-limit, and splits the octave into twelve equal parts of [[~]][[15/14]]. The obvious 11-limit extension tempers out the kalisma, [[9801/9800]].
 [[Subgroup]]: 2.3.5.7