567/550

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Revision as of 05:18, 9 October 2024 by Cmloegcmluin (talk | contribs) (Created page with "{{Infobox Interval | Ratio = 567/550 | Name = 25·11/7 medium diesis | Comma = yes }} The '''25·11/7 medium diesis''', or '''25·11/7M''' for short, is a comma with a ratio...")
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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 25·11/7 medium diesis
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
Comma size medium
Open this interval in xen-calc

The 25·11/7 medium diesis, or 25·11/7M for short, 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 25·11/7M because the simplest ratio it notates is (32·7):(25·11), as for example in C:E⁠ ⁠. The primary role of ⁠ ⁠ is 32/33 (11M down).