567/550: Difference between revisions

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Added upward version
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Added upward version
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The '''7/25·11 medium diesis''' is a comma with a ratio of 567/550 and a value of approximately 52.70 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | \!/ }} and is called the '''25·11/7 medium diesis''', or '''25·11/7M''' for short, because the simplest ratio it notates is (32·7):(25·11), as for example in C:E{{sagittal | \!/ }}. The primary role of {{ sagittal | \!/ }} is [[33/32#Sagittal notation | 32/33]] (11M down). The upward version is called '''7/25·11M''' or '''25·11/7 up''' and is represented (in a secondary role) by {{sagittal| /|\ }}.
The '''7/25·11 medium diesis''' is a comma with a ratio of 567/550 and a value of approximately 52.70 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | \!/ }} and is called the '''25·11/7 medium diesis''', or '''25·11/7M''' for short, because the simplest ratio it notates is (32·7):(25·11), as for example in C:E{{sagittal | \!/ }}. The primary role of {{ sagittal | \!/ }} is [[33/32#Sagittal notation | 32/33]] (11M down). The upward version is called '''7/25·11M''' or '''25·11/7 up''' and is represented (in a secondary role) by {{sagittal| /|\ }}. Their use is notation is extremely rare.

Revision as of 13:44, 9 October 2024

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
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 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 ratio it notates is (32·7):(25·11), as for example in C:E⁠ ⁠. The primary role of ⁠ ⁠ is 32/33 (11M down). The upward version is called 7/25·11M or 25·11/7 up and is represented (in a secondary role) by ⁠ ⁠. Their use is notation is extremely rare.