567/550
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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]\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]\sqrt{nd}[/math])
~4.45062 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
Luzogugu comma
(Shannon, [math]\sqrt{nd}[/math])
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.