Bixby

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

Subgroups	2.3.5
Comma basis	4/3
Reduced mapping	⟨1; 0 1]
ET join	1 & 2b
Generators (CTE)	~5/4 = 386.3 ¢
MOS scales	1L 1s, 1L 2s, 3L 1s
Ploidacot	acot
Pergen	(P8, M35)
Minimax error	5-odd-limit: 498.0 ¢; 5-limit 25-odd-limit: 996.1 ¢
Target scale size	5-odd-limit: 2 notes; 5-limit 25-odd-limit: 3 notes

Bixby is an exotemperament that tempers out 4/3, setting the perfect fifth equal to the octave. This temperament is clearly not meant for melodic or harmonic use, and is far less accurate than more common archetypal exotemperaments like dicot, doing something with such high damage as to eradicate prime 3 from the system. It can be represented by only 1edo in its patent val. The practical uses of this temperament are as of yet unknown.

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.

For technical data see Very low accuracy temperaments #Bixby.

See also

• Archon, the 5-limit rank-2 temperament tempering out 5/4
• Seesaw, the 5-limit rank-2 temperament tempering out 6/5