1701/1664: Difference between revisions

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correct name
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indicating direction unnecessary
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The '''7/13 small diesis''' is a comma with a ratio of 1701/1664 and a value of approximately 38.07 [[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 '''13/7 small diesis''', or '''13/7S''' for short, because the simplest interval it notates is 13/7, as for example in C-B{{nbhsp}}{{sagittal | (!( }}. The primary role of {{ sagittal | (!( }} is [[45/44#Sagittal notation | 44/45]] (11/5S down). The upward version is called '''7/13S''' or '''13/7S up''' and is represented (in a secondary role) by {{sagittal| (|( }}.
The '''7/13 small diesis''' is a comma with a ratio of 1701/1664 and a value of approximately 38.07 [[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 '''13/7 small diesis''', or '''13/7S''' for short, because the simplest interval it notates is 13/7, as for example in C-B{{nbhsp}}{{sagittal | (!( }}. The primary role of {{ sagittal | (!( }} is [[45/44#Sagittal notation | 44/45]] (11/5S). The upward version is called '''7/13S''' or '''13/7S up''' and is represented (in a secondary role) by {{sagittal| (|( }}.

Revision as of 03:31, 21 October 2024

Interval information
Ratio 1701/1664
Factorization 2-7 × 35 × 7 × 13-1
Monzo [-7 5 0 1 0 -1
Size in cents 38.07325¢
Name 7/13 small diesis
Color name L3uz1, Lathuzo comma
FJS name [math]\displaystyle{ \text{A1}^{7}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 21.4326
Weil height (log2 max(n, d)) 21.4643
Wilson height (sopfr(nd)) 49
Comma size medium
Open this interval in xen-calc

The 7/13 small diesis is a comma with a ratio of 1701/1664 and a value of approximately 38.07 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 13/7 small diesis, or 13/7S for short, because the simplest interval it notates is 13/7, as for example in C-B⁠ ⁠⁠ ⁠. The primary role of ⁠ ⁠ is 44/45 (11/5S). The upward version is called 7/13S or 13/7S up and is represented (in a secondary role) by ⁠ ⁠.