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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| Ratio = 45927/45056
| Ratio = 45927/45056
| Name = 7/11 comma
| Name = 7/11 comma
| Color name = L1uz1, Laluzo comma
| Comma = yes
| Comma = yes
}}
}}


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| (| }}.
The [[Sagittal]] '''7/11 comma''' is a comma with a [[ratio]] of '''45927/45056''' and a value of approximately 33.15 [[cent]]s. It is the apotome complement of [[22/21]], and the difference between the [[Pythagorean comma]] and the [[896/891|pentacircle comma (896/891)]]. It is the comma that separates [[11/7]] and the [[6561/4096|Pythagorean augmented fifth]], and separates [[14/11]] and the [[8192/6561|Pythagorean diminished fourth]].
 
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| (| }}.
 
[[Category:Commas named systematically]]

Latest revision as of 07:53, 3 November 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
Color name L1uz1, Laluzo 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 Sagittal 7/11 comma is a comma with a ratio of 45927/45056 and a value of approximately 33.15 cents. It is the apotome complement of 22/21, and the difference between the Pythagorean comma and the pentacircle comma (896/891). It is the comma that separates 11/7 and the Pythagorean augmented fifth, and separates 14/11 and the Pythagorean diminished fourth.

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 ⁠ ⁠.