64/49: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = supersupermajor third, septatonic ultramajor third, octave-reduced 49th subharmonic
| Ratio = 64/49
| Color name = rr3, ruru 3rd
| Monzo = 6 0 0 -2
| Cents = 462.34819
| Name = septimal subfourth, <br> septatonic supermajor third, <br> octave-reduced 49th subharmonic
| Color name =
| Sound = Ji-64-49-csound-foscil-220hz.mp3
| Sound = Ji-64-49-csound-foscil-220hz.mp3
}}
}}


'''64/49''', the '''septimal subfourth''', also known as the '''septatonic supermajor third''' or '''octave-reduced 49th subharmonic''', is equal to two supermajor seconds of [[8/7]], and is the interval between [[21/16]] and [[12/7]]. it is 1029/1024 flat of [[21/16]], and tempering out 1029/1024 leads to [[slendric]] temperament, where three supermajor seconds make up a fifth.
'''64/49''', the '''supersupermajor third''', '''septatonic ultramajor third''' or '''octave-reduced 49th subharmonic''', is equal to two supermajor seconds of [[8/7]], and is the interval between [[21/16]] and [[12/7]]. It is [[1029/1024]] flat of [[21/16]], and tempering out 1029/1024 leads to [[slendric]] temperament, where three supermajor seconds make up a fifth.


== See also ==
== See also ==
* [[49/32]] - its octave complement
* [[49/32]] – its octave complement
* [[147/128]] - its fifth complement
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[:File:jid_64_49_pluck_adu_dr220.mp3]] - another sound example
* [[:File:jid_64_49_pluck_adu_dr220.mp3]] – another sound example


[[Category:7-limit]]
[[Category:Subfourth]]
[[Category:Subfourth]]
[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Supermajor third]]
[[Category:Supermajor third]]
[[Category:Third]]
[[Category:Third]]
[[Category:Interseptimal]]
[[Category:Interseptimal intervals]]
[[Category:Listen]]
[[Category:Naiadic]]
[[Category:Naiadic]]

Latest revision as of 18:43, 31 January 2024

Interval information
Ratio 64/49
Factorization 26 × 7-2
Monzo [6 0 0 -2⟩
Size in cents 462.3482¢
Names supersupermajor third,
septatonic ultramajor third,
octave-reduced 49th subharmonic
Color name rr3, ruru 3rd
FJS name [math]\displaystyle{ \text{M3}_{7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 11.6147
Weil norm (log2 max(n, d)) 12
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

64/49, the supersupermajor third, septatonic ultramajor third or octave-reduced 49th subharmonic, is equal to two supermajor seconds of 8/7, and is the interval between 21/16 and 12/7. It is 1029/1024 flat of 21/16, and tempering out 1029/1024 leads to slendric temperament, where three supermajor seconds make up a fifth.

See also

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