7/11 comma: Difference between revisions

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Dave Keenan (talk | contribs)
Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Replaced hair-space with nbhsp template call.
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The '''7/11 comma''' is a comma with a ratio of 45927/45056 and a value of approximately 33.15 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | (! }} and is called the '''11/7 comma''', or '''11/7C''' for short, because the simplest ratio it notates is 7:11, as for example in E&#x200A;{{sagittal | b }}:B&#x200A;{{sagittal | (! }}. The upward version is called '''7/11C''' or '''11/7C up''' and is represented by {{sagittal| (| }}.
The '''7/11 comma''' is a comma with a ratio of 45927/45056 and a value of approximately 33.15 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | (! }} and is called the '''11/7 comma''', or '''11/7C''' for short, because the simplest interval it notates is 11/7, as for example in E{{nbhsp}}{{sagittal | b }}-B{{nbhsp}}{{sagittal | (! }}. The upward version is called '''7/11C''' or '''11/7C up''' and is represented by {{sagittal| (| }}.

Revision as of 07:16, 10 October 2024

Interval information
Ratio 45927/45056
Factorization 2-12 × 38 × 7 × 11-1
Monzo [-12 8 0 1 -1
Size in cents 33.14797¢
Name 7/11 comma
FJS name [math]\displaystyle{ \text{A1}^{7}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 30.9465
Weil height (log2 max(n, d)) 30.9741
Wilson height (sopfr(nd)) 66
Comma size medium
Open this interval in xen-calc

The 7/11 comma is a comma with a ratio of 45927/45056 and a value of approximately 33.15 cents. In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal ⁠ ⁠ and is called the 11/7 comma, or 11/7C for short, because the simplest interval it notates is 11/7, as for example in E⁠ ⁠⁠ ⁠-B⁠ ⁠⁠ ⁠. The upward version is called 7/11C or 11/7C up and is represented by ⁠ ⁠.