Trisected: Difference between revisions
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In the [[11-limit]], the [[4/3|perfect fourth]] is split into three ~[[11/10]]'s, thus tempering out [[4000/3993]]. Additionally, the 1/3-octave period represents [[14/11]], tempering out [[56/55]] and [[176/175]]. The [[13-limit]] extension equates the ~10/7 with [[13/9]], tempering out [[91/90]] and [[2197/2187]]. | In the [[11-limit]], the [[4/3|perfect fourth]] is split into three ~[[11/10]]'s, thus tempering out [[4000/3993]]. Additionally, the 1/3-octave period represents [[14/11]], tempering out [[56/55]] and [[176/175]]. The [[13-limit]] extension equates the ~10/7 with [[13/9]], tempering out [[91/90]] and [[2197/2187]]. | ||
The 2.3.7.11/5 subgroup [[restriction]], known as [[trisect]], removes the individual mappings for 5 and 11 while still tempering out 1029/1024 and 4000/3993, and is much more accurate. | |||
For technical data, see [[Augmented family #Trisected]]. | For technical data, see [[Augmented family #Trisected]]. | ||