980/729: Difference between revisions

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Xenwolf (talk | contribs)
this is no fifth
m I'll stick to the short name then
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| Monzo = 2 -6 1 2
| Monzo = 2 -6 1 2
| Cents = 512.23552
| Cents = 512.23552
| Name = sensamagic fourth, <br>septimal sesquidiminished grave fifth
| Name = sensamagic fourth
| Color name = zzy5, zozoyo 5th
| Color name = zzy5, zozoyo 5th
| FJS name = d5<sup>5, 49</sup>
| Sound =  
| Sound =  
}}
}}


'''980/729''', the '''sensamagic fourth''' or '''septimal sesquidiminished grave fifth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].  
'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].  


It arises in just intonation scales as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]].  
It arises in just intonation scales as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]].  
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== See also ==
== See also ==


* [[729/490]], its octave complement
* [[729/490]] its octave complement
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]



Revision as of 03:47, 17 November 2020

Interval information
Ratio 980/729
Factorization 22 × 3-6 × 5 × 72
Monzo [2 -6 1 2
Size in cents 512.2355¢
Name sensamagic fourth
Color name zzy5, zozoyo 5th
FJS name [math]\displaystyle{ \text{d5}^{5,49} }[/math]
Special properties reduced
Tenney height (log2 nd) 19.4464
Weil height (log2 max(n, d)) 19.8733
Wilson height (sopfr(nd)) 41
Open this interval in xen-calc

980/729, the sensamagic fourth is a 7-limit ratio of about 512 cents, sharp of a just fourth 4/3 by a sensamagic comma 245/243.

It arises in just intonation scales as the difference between the supermajor third 9/7 and the semidiminished seventh 140/81, making it a critical tempering target in the Canovian chord.

See also