64/49

Interval information

Ratio	64/49
Factorization	26 × 7-2
Monzo	[6 0 0 -2⟩
Size in cents	462.3482¢
Names	supersupermajor third, septatonic ultramajor third, octave-reduced 49th subharmonic
Color name	rr3, ruru 3rd
FJS name	[math]\displaystyle{ \text{M3}_{7,7} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	11.6147
Weil height (log2 max(n, d))	12
Wilson height (sopfr(nd))	26
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.26799 bits
[sound info]
Open this interval in xen-calc

64/49, the supersupermajor third, septatonic ultramajor third or octave-reduced 49th subharmonic, is equal to two supermajor seconds of 8/7, and is the interval between 21/16 and 12/7. It is 1029/1024 flat of 21/16, and tempering out 1029/1024 leads to slendric temperament, where three supermajor seconds make up a fifth.

See also

• 49/32 – its octave complement
• 147/128 - its fifth complement
• Gallery of just intervals
• File:jid_64_49_pluck_adu_dr220.mp3 – another sound example