65/63

Interval information

Ratio	65/63
Factorization	3-2 × 5 × 7-1 × 13
Monzo	[0 -2 1 -1 0 1⟩
Size in cents	54.10547¢
Name(s)	missing ?
Color name	3ory1, thoruyo unison
FJS name	[math]\displaystyle{ \text{P1}^{5,13}_{7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	11.9996
Weil height (log2 max(n, d))	12.0447
Wilson height (sopfr(nd))	31
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.43797 bits
Comma size	medium
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65/63 is a 13-limit quartertone measuring about 54.1 cents. It is known as the radius of tolerance in the Functional Just System.

It arises as the sum of 64/63 and 65/64, the difference between 7/5 (septimal narrow tritone) and 13/9 (tridecimal high tritone), between 5/3 and 21/13, between 10/9 and 14/13, and between 13/12 and 21/20.

It differs from the 33/32 semitone by 2080/2079 – an unnoticeable comma measuring about 0.83 cents.