2835/2816: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 2835/2816 | Name = 35/11 kleisma | Comma = yes }} The '''35/11 kleisma''', or '''35/11k''' for short, is a comma with a ratio of 2835/2816 and a..."
 
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Added downward version
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The '''35/11 kleisma''', or '''35/11k''' for short, is a comma with a ratio of 2835/2816 and a value of approximately 11.64 [[cent]]s. <span id="Sagittal notation">In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | )|( }} and is called the 35/11k because the simplest ratio it notates is (2·11):35, as for example in A:F{{sagittal | )|( }}. The primary role of {{ sagittal | )|( }} is [[896/891#Sagittal notation | 896/891]] (11/7k up).</span>
The '''35/11 kleisma''' is a comma with a ratio of 2835/2816 and a value of approximately 11.64 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | )|( }} and is called the '''35/11 kleisma''', or '''35/11k''' for short, because the simplest ratio it notates is (2·11):35, as for example in A:F&#x200A;{{sagittal | )|( }}. The primary role of {{ sagittal | )|( }} is [[896/891#Sagittal notation | 896/891]] (11/7k up). The downward version is called '''11/35k''' or '''35/11k down''' and is represented (in a secondary role) by {{sagittal| )!( }}.

Revision as of 13:29, 9 October 2024

Interval information
Ratio 2835/2816
Factorization 2-8 × 34 × 5 × 7 × 11-1
Monzo [-8 4 1 1 -1
Size in cents 11.64168¢
Name 35/11 kleisma
FJS name [math]\displaystyle{ \text{A1}^{5,7}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 22.9286
Weil height (log2 max(n, d)) 22.9383
Wilson height (sopfr(nd)) 51
Comma size small
Open this interval in xen-calc

The 35/11 kleisma is a comma with a ratio of 2835/2816 and a value of approximately 11.64 cents. In the Sagittal system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal ⁠ ⁠ and is called the 35/11 kleisma, or 35/11k for short, because the simplest ratio it notates is (2·11):35, as for example in A:F ⁠ ⁠. The primary role of ⁠ ⁠ is 896/891 (11/7k up). The downward version is called 11/35k or 35/11k down and is represented (in a secondary role) by ⁠ ⁠.