Augmented family: Difference between revisions

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Trisected: explain extensions
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=== 11-limit ===
=== 11-limit ===
This extension also tempers out [[4000/3993]], equating 3 intervals of [[11/10]] with [[4/3]].
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


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=== 13-limit ===
=== 13-limit ===
This extension is natural since it equates the [[10/7]], which is 1/3 of [[3/1]] since 1029/1000 is tempered out, with [[13/9]], thus tempering out [[91/90]] and [[2197/2187]].
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13