64/49

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Revision as of 23:05, 24 December 2020 by Aura (talk | contribs) (changed "supermajor" to "ultramajor" as this interval is larger than 450 cents)
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Interval information
Ratio 64/49
Factorization 26 × 7-2
Monzo [6 0 0 -2
Size in cents 462.3482¢
Names septimal subfourth,
septatonic supermajor third,
octave-reduced 49th subharmonic
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]
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64/49, the septimal subfourth, also known as the 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