567/550: Difference between revisions

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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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{{Infobox Interval
{{Infobox Interval
| Ratio = 567/550
| Ratio = 567/550
| Name = 25·11/7 medium diesis
| Name = 7/(25·11) medium diesis
| Color name = 1uzgg2, luzogugu 2nd,<br>Luzogugu comma
| Comma = yes
| Comma = yes
}}
}}


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 [[cent]]s. <span id="Sagittal notation">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 25·11/7M 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).</span>
The [[Sagittal]] '''7/(25·11) medium diesis''' is a comma with a [[ratio]] of '''567/550''' and a value of approximately 52.70 [[cent]]s.  
 
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 interval it notates is 25×11/7 = 5×5×11/7 (equiv. 275/224), as for example in C-E{{nbhsp}}{{sagittal | \!/ }}. The primary role of {{ sagittal | \!/ }} is [[33/32#Sagittal notation | 32/33]] (11M down). The upward version is called '''7/(25·11)M''' or '''25·11/7M up''' and is represented (in a secondary role) by {{sagittal| /|\ }}. The use of this comma for notation is extremely rare.
 
[[Category:Commas named systematically]]

Latest revision as of 07:50, 3 November 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
Color name 1uzgg2, luzogugu 2nd,
Luzogugu comma
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 Sagittal 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 interval it notates is 25×11/7 = 5×5×11/7 (equiv. 275/224), as for example in C-E⁠ ⁠⁠ ⁠. The primary role of ⁠ ⁠ is 32/33 (11M down). The upward version is called 7/(25·11)M or 25·11/7M up and is represented (in a secondary role) by ⁠ ⁠. The use of this comma for notation is extremely rare.

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