Gravity family: Difference between revisions

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=== 2.3.5.11 subgroup (larry) ===
=== 2.3.5.11 subgroup (larry) ===
Gravity is most naturally thought of as a 2.3.5.11 subgroup temperament, which in terms of [[S-expression]]s is defined by equating S9 ([[81/80]]), S10 ([[100/99]]), and S11 ([[121/120]]). By tempering out S10/S11, [[4/3]] is split into three intervals of [[11/10]], and by tempering out S9/S11, [[3/2]] is split into two intervals of [[11/9]]. The overall structure therefore divides [[6/1]] in six generators of 27/20.
Gravity is most naturally thought of as a 2.3.5.11 subgroup temperament, which in terms of S-expressions is defined by equating S9 ([[81/80]]), S10 ([[100/99]]), and S11 ([[121/120]]). By tempering out S10/S11, [[4/3]] is split into three intervals of [[11/10]], and by tempering out S9/S11, [[3/2]] is split into two intervals of [[11/9]]. The overall structure therefore divides 6/1 into six generators of 27/20.


Subgroup: 2.3.5.11
Subgroup: 2.3.5.11