729/490: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 729/490 | Monzo = -1 6 -1 -2 | Cents = 687.76448 | Name = sensamagic fifth, <br>septimal sesquiaugmented acute fourth | Color name = rrg4, rurugu..."
 
m Remove name pointing to fourth for consistency
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| Monzo = -1 6 -1 -2
| Monzo = -1 6 -1 -2
| Cents = 687.76448
| Cents = 687.76448
| Name = sensamagic fifth, <br>septimal sesquiaugmented acute fourth
| Name = sensamagic fifth
| Color name = rrg4, rurugu 4th
| Color name = rrg4, rurugu 4th
| FJS name = A4<sub>5, 49</sub>
| Sound =  
| Sound =  
}}
}}


'''729/490''', the '''sensamagic fifth''' or '''septimal sesquiaugmented acute fourth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].  
'''729/490''', the '''sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].  


It arises in just intonation scales often as the octave complement of [[980/729]].  
It arises in just intonation scales often as the octave complement of [[980/729]].  
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== See also ==
== See also ==


* [[980/729]], its octave complement
* [[980/729]] its octave complement
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


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[[Category:Interval]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Ratio]]
[[Category:Fifth]]
[[Category:Fourth]]
[[Category:Augmented fourth]]
[[Category:Augmented fourth]]
[[Category:Sensamagic]]
[[Category:Sensamagic]]

Revision as of 03:49, 17 November 2020

Interval information
Ratio 729/490
Factorization 2-1 × 36 × 5-1 × 7-2
Monzo [-1 6 -1 -2
Size in cents 687.7645¢
Name sensamagic fifth
Color name rrg4, rurugu 4th
FJS name [math]\displaystyle{ \text{A4}_{5,49} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.4464
Weil norm (log2 max(n, d)) 19.0196
Wilson norm (sopfr(nd)) 39
Open this interval in xen-calc

729/490, the sensamagic fifth is a 7-limit ratio of about 687 cents, flat of a just fifth 3/2 by a sensamagic comma 245/243.

It arises in just intonation scales often as the octave complement of 980/729.

See also