64/49: Difference between revisions

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'''64/49'''
{{Infobox Interval
|6 0 0 -2>
| Icon =
| Ratio = 64/49
| Monzo = 6 0 0 -2
| Cents = 462.34819
| Name = septimal subfourth, <br> septatonic<sup>?</sup> major third
| Color name =
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
}}


462.3482 cents
'''64/49''', the '''septimal subfourth''' or '''septatonic<sup>?</sup> major third''', 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.


[[File:jid_64_49_pluck_adu_dr220.mp3]] [[:File:jid_64_49_pluck_adu_dr220.mp3|sound sample]]
[[File:jid_64_49_pluck_adu_dr220.mp3]] [[:File:jid_64_49_pluck_adu_dr220.mp3|sound info...]]
 
The septatonic<span style="font-size: 80%; vertical-align: super;">? </span> major third, 64/49, is equal to two supermajor seconds of [[8/7|8/7]], and is the interval between [[21/16|21/16]] and [[12/7|12/7]]. it is 1029/1024 flat of [[21/16|21/16]], and tempering out 1029/1024 leads to [[Slendric|slendric]] temperament, where three supermajor seconds make up a fifth.


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

Revision as of 14:22, 12 July 2020

Interval information
Ratio 64/49
Factorization 26 × 7-2
Monzo [6 0 0 -2⟩
Size in cents 462.3482¢
Names septimal subfourth,
septatonic? major third
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
[[File:Ji-{{#regex:64/49|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|270px]]
[[:File:Ji-{{#regex:64/49|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|[sound info]]]
Open this interval in xen-calc

64/49, the septimal subfourth or septatonic? major third, 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.

sound info...

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