1701/1664

Interval information

Ratio	1701/1664
Factorization	2-7 × 35 × 7 × 13-1
Monzo	[-7 5 0 1 0 -1⟩
Size in cents	38.07325¢
Name	7/13 small diesis
Color name	L3uz1, Lathuzo comma
FJS name	[math]\displaystyle{ \text{A1}^{7}_{13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	21.4326
Weil height (log2 max(n, d))	21.4643
Wilson height (sopfr(nd))	49
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.51856 bits
Comma size	medium
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The 7/13 small diesis is a comma with a ratio of 1701/1664 and a value of approximately 38.07 cents. In the Sagittal system, the downward version of this comma (possibly tempered) is represented (in a secondary role) by the sagittal ⁠ ⁠ and is called the 13/7 small diesis, or 13/7S for short, because the simplest interval it notates is 13/7, as for example in C-B⁠ ⁠⁠ ⁠. The primary role of ⁠ ⁠ is 44/45 (11/5S). The upward version is called 7/13S or 13/7S up and is represented (in a secondary role) by ⁠ ⁠.