245/243: Difference between revisions

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| Monzo = 0 -5 1 2
| Monzo = 0 -5 1 2
| Cents = 14.19052
| Cents = 14.19052
| Name = Sensamagic comma
| Name = sensamagic comma
| Color name = zzy2, zozoyo 2nd
| Color name = zzy2, zozoyo 2nd
| Sound =  
| Sound =  
}}
}}


'''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.
'''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]].  
 
== 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 ==
== See also ==
 
* [[Sensamagic family]], the rank-3 family where it is tempered out
* [[Comma]]
* [[Sensamagic clan]], the rank-2 clan where it is tempered out
* [[Sensamagic chords]]
* [[Small comma]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]



Revision as of 14:30, 16 April 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 ratio 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