567/550: Difference between revisions

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Undo revision 159425 by Cmloegcmluin (talk) It looks like we might need it for 76-EDO.
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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 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 '''25·11/7 up''' and is represented (in a secondary role) by {{sagittal| /|\ }}. The use of this comma for notation is extremely rare.
The '''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.

Revision as of 21:59, 14 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 norm (log2 nd) 18.2505
Weil norm (log2 max(n, d)) 18.2944
Wilson norm (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 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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