65536/59049

65536/59049, the Pythagorean diminished third, is an interval in 3-limit just intonation. It is equal to a pythagorean minor third minus an apotome, hence the name.

Interval information

Ratio	65536/59049
Factorization	216 × 3-10
Monzo	[16 -10⟩
Size in cents	180.45¢
Name	Pythagorean diminished third
Color name	sawa 3rd, sw3
FJS name	[math]\displaystyle{ \text{d3} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	31.8496
Weil norm (log2 max(n, d))	32
Wilson norm (sopfr(nd))	62
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Despite being classified as a third, it is only a schisma flat of 10/9, and is thus equated with 10/9 in the schismic temperament. It is also equated to 11/10 in pele, as well as its rank-2 subtemperaments diaschismic, mystery, leapday, and andromeda.

See also

• 177147/131072 – its fifth complement
• 59049/32768 – its octave complement