Bixby: Difference between revisions

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Bixby is the temperament that tempers out 4/3, setting the perfect fifth equal to the octave. It can be represented by only [[1edo]] in its patent [[val]] (and in fact is represented specifically by 1edo in terms of edos), and is equivalent to using a no-threes harmonic system.
{{Mathematical interest}}
'''Bixby''' is an [[exotemperament]] that [[tempering out|tempers out]] 4/3, setting the [[3/2|perfect fifth]] equal to the [[2/1|octave]]. It can be represented by only [[1edo]] in its [[patent val]].


It is the first [[comptonesque]] temperament; equivalently, it is the first [[circular temperament]] of 3. It is also the first temperament of a square particular comma.


It is the first [[comptonesque]] temperament; equivalently, it is the first [[circular temperament]] of 3.
[[Category:Bixby| ]] <!-- main article -->
 
{{Infobox Regtemp|Comma basis=4/3|Generator tuning=386.3137|Mapping=1 0; 0 1|Subgroups=2.3.5|Generator=5/4|Optimization method=CTE}}
 
[[Category:Circular temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Exotemperaments]]
[[Category:Exotemperaments]]

Latest revision as of 22:25, 10 August 2025

This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Bixby is an exotemperament that tempers out 4/3, setting the perfect fifth equal to the octave. It can be represented by only 1edo in its patent val.

It is the first comptonesque temperament; equivalently, it is the first circular temperament of 3. It is also the first temperament of a square particular comma.