60/49: Difference between revisions

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'''60/49'''
{{Infobox Interval
|2 1 1 -2>
| Icon =
| Ratio = 60/49
| Monzo = 2 1 1 -2  
| Cents = 350.61690
| Name = smaller septimal neutral third
| Color name =
| Sound = jid_60_49_pluck_adu_dr220.mp3
}}


350.6169 cents
'''60/49''', the smaller septimal neutral third, is only 2401/2400 (0.72 cents) flat of [[49/40]], the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 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 [[7/6]] and [[10/7]].


[[File:jid_60_49_pluck_adu_dr220.mp3]] [[:File:jid_60_49_pluck_adu_dr220.mp3|sound sample]]
== See also ==
 
* [[24edo]]
* [[Iceface Tuning]]
* [[Gallery of just intervals]]


60/49, the smaller septimal neutral third, is only 2401/2400 (0.72 cents) flat of [[49/40|49/40]], the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 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 [[7/6|7/6]] and [[10/7|10/7]].
[[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 14:42, 7 June 2020

Interval information
Ratio 60/49
Factorization 22 × 3 × 5 × 7-2
Monzo [2 1 1 -2⟩
Size in cents 350.6169¢
Name smaller septimal neutral third
FJS name [math]\displaystyle{ \text{A2}^{5}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.5216
Weil norm (log2 max(n, d)) 11.8138
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

60/49, the smaller septimal neutral third, is only 2401/2400 (0.72 cents) flat of 49/40, the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 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 7/6 and 10/7.

See also

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