567/550

Interval information

Ratio	567/550
Factorization	2-1 × 34 × 5-2 × 7 × 11-1
Monzo	[-1 4 -2 1 -1⟩
Size in cents	52.70054¢
Name	7/(25·11) medium diesis
Color name	1uzgg2, luzogugu 2nd, Luzogugu comma
FJS name	[math]\displaystyle{ \text{m2}^{7}_{5,5,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	18.2505
Weil height (log2 max(n, d))	18.2944
Wilson height (sopfr(nd))	42
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.45062 bits
Comma size	medium
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The Sagittal 7/(25·11) medium diesis is a comma with a ratio of 567/550 and a value of approximately 52.70 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 25·11/7 medium diesis, or 25·11/7M for short, because the simplest interval it notates is 25×11/7 = 5×5×11/7 (equiv. 275/224), as for example in C-E⁠ ⁠⁠ ⁠. The primary role of ⁠ ⁠ is 32/33 (11M down). The upward version is called 7/(25·11)M or 25·11/7M up and is represented (in a secondary role) by ⁠ ⁠. The use of this comma for notation is extremely rare.