245/243: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 245/243 | Monzo = 0 -5 1 2 | Cents = 14.19052 | Name = Sensamagic comma | Color name = zzy2, zozoyo 2nd | Sound = }} '''245/243''', the '''sensa..."
 
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[[Category:Interval]]
[[Category:Interval]]
[[Category:Ratio]]
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[[Category:Comma]]
[[Category:Small comma]]
[[Category:Sensamagic]]
[[Category:Sensamagic]]

Revision as of 17:22, 25 September 2020

Interval information
Ratio 245/243
Factorization 3-5 × 5 × 72
Monzo [0 -5 1 2
Size in cents 14.19052¢
Name Sensamagic comma
Color name zzy2, zozoyo 2nd
FJS name [math]\displaystyle{ \text{m2}^{5,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.8615
Weil norm (log2 max(n, d)) 15.8733
Wilson norm (sopfr(nd)) 34
Open this interval in xen-calc

245/243, the sensamagic comma is a 7-limit ratio of 14.2 cents. It is amount by which two septimal major thirds 9/7 fall short of a major sixth 5/3, or the difference between 28/27 and 36/35. Tempering it out leads to sensamagic family, where 5/3 is split into two equal parts, each representing 9/7~35/27, and may be extended to represent higher-limit ratios like 13/10, 22/17, etc.

See also