49/40: Difference between revisions

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'''49/40'''
{{Infobox Interval
|-3 0 -1 2>
| Icon =
| Ratio = 49/40
| Monzo = -3 0 -1 2
| Cents = 351.33810
| Name = larger septimal neutral third
| Color name =
| Sound = jid_49_40_pluck_adu_dr220.mp3
}}


351.3381 cents
'''49/40''', the larger septimal neutral third, is only 2401/2400 (0.72 cents) sharp of [[60/49]], the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 cents) sharp of [[11/9]], and this is one of the ways [[11-limit]] harmony is introduced into [[7-limit]] scales. In particular, it is the interval between [[8/7]] and [[7/5]].


[[File:jid_49_40_pluck_adu_dr220.mp3]] [[:File:jid_49_40_pluck_adu_dr220.mp3|sound sample]]
== See also ==
 
* [[24edo]]
* [[Iceface Tuning]]
* [[Gallery of just intervals]]


49/40, the larger septimal neutral third, is only 2401/2400 (0.72 cents) sharp of [[60/49|60/49]], the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 cents) sharp of [[11/9|11/9]], and this is one of the ways [[11-limit|11-limit]] harmony is introduced into [[7-limit|7-limit]] scales. In particular, it is the interval between [[8/7|8/7]] and [[7/5|7/5]].
[[Category:7-limit]]
[[Category:7-limit]]
[[Category:interval]]
[[Category:Interval]]
[[Category:neutral_3rd]]
[[Category:Neutral third]]
[[Category:ratio]]
[[Category:Ratio]]
[[Category:third]]
[[Category:Third]]

Revision as of 14:49, 7 June 2020

Interval information
Ratio 49/40
Factorization 2-3 × 5-1 × 72
Monzo [-3 0 -1 2⟩
Size in cents 351.3381¢
Name larger septimal neutral third
FJS name [math]\displaystyle{ \text{d4}^{7,7}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.9366
Weil height (log2 max(n, d)) 11.2294
Wilson height (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

49/40, the larger septimal neutral third, is only 2401/2400 (0.72 cents) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 cents) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.

See also

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