245/243: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
+temperament section; +links
m Misc. edits, categories
Line 8: Line 8:
}}
}}


'''245/243''', the '''sensamagic comma''', is a [[7-limit]] ratio of 14.2 cents. It is the amount by which two [[9/7|septimal major thirds (9/7)]] fall short of a [[5/3|classic major sixth (5/3)]], or the difference between [[28/27]] and [[36/35]].  
'''245/243''', the '''sensamagic comma''', is a [[7-limit]] [[interval]] of 14.2 cents. It is the amount by which two septimal major thirds ([[9/7]]) fall short of a classic major sixth ([[5/3]]), or the difference between [[28/27]] and [[36/35]].  


== Temperaments ==
== Temperaments ==
Line 21: Line 21:


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Sensamagic]]
[[Category:Sensamagic]]

Revision as of 19:20, 15 December 2021

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 interval of 14.2 cents. It is the amount by which two septimal major thirds (9/7) fall short of a classic major sixth (5/3), or the difference between 28/27 and 36/35.

Temperaments

Tempering it out leads to the sensamagic family of temperaments, 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. It enables sensamagic chords as well.

See also