8505/8192: Difference between revisions

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Dave Keenan (talk | contribs)
Corrected "35L up" to "35L down"
Dave Keenan (talk | contribs)
Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call.
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The '''35 large diesis''' is a comma with a ratio of 8505/8192 and a value of approximately 64.91 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | (|\ }} and is called the '''35 large diesis''', or '''35L''' for short, because the simplest ratio it notates is 16:35, as for example in E:F&#x200A;{{sagittal | (|\ }}. The downward version is called '''1/35L''' or '''35L down''' and is represented by {{sagittal| (!/ }}.
The '''35 large diesis''' is a comma with a ratio of 8505/8192 and a value of approximately 64.91 [[cent]]s. <span id="Sagittal notation"></span>In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | (|\ }} and is called the '''35 large diesis''', or '''35L''' for short, because the simplest interval it notates is 35/1 = 5×7 (equiv. 35/32), as for example in E-F{{nbhsp}}{{sagittal | (|\ }}. The downward version is called '''1/35L''' or '''35L down''' and is represented by {{sagittal| (!/ }}.

Revision as of 07:36, 10 October 2024

Interval information
Ratio 8505/8192
Factorization 2-13 × 35 × 5 × 7
Monzo [-13 5 1 1
Size in cents 64.91462¢
Name 35 large diesis
FJS name [math]\displaystyle{ \text{A1}^{5,7} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 26.0541
Weil norm (log2 max(n, d)) 26.1082
Wilson norm (sopfr(nd)) 53
Comma size medium
Open this interval in xen-calc

The 35 large diesis is a comma with a ratio of 8505/8192 and a value of approximately 64.91 cents. In the Sagittal system, this comma (possibly tempered) is represented by the sagittal and is called the 35 large diesis, or 35L for short, because the simplest interval it notates is 35/1 = 5×7 (equiv. 35/32), as for example in E-F⁠ ⁠. The downward version is called 1/35L or 35L down and is represented by .