8505/8192

Interval information

Ratio	8505/8192
Factorization	2-13 × 35 × 5 × 7
Monzo	[-13 5 1 1⟩
Size in cents	64.91462¢
Name	35 large diesis
Color name	Lzy1, lazoyo unison
FJS name	[math]\displaystyle{ \text{A1}^{5,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	26.0541
Weil height (log2 max(n, d))	26.1082
Wilson height (sopfr(nd))	53
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.37086 bits
Comma size	medium
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The 35 large diesis is a comma with a ratio of 8505/8192 and a value of approximately 64.91 cents. In the Sagittal system, this comma (possibly tempered) is represented by the sagittal ⁠ ⁠ and is called the 35 large diesis, or 35L for short, because the simplest interval it notates is 35/1 = 5×7 (equiv. 35/32), as for example in E-F⁠ ⁠⁠ ⁠. The downward version is called 1/35L or 35L down and is represented by ⁠ ⁠.