64/49
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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]\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]\sqrt{nd}[/math])
~4.26799 bits
[sound info]
open this interval in xen-calc
| Interval information |
septatonic ultramajor third,
octave-reduced 49th subharmonic
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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