55/32: Difference between revisions

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Added info on 256Hz.
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'''55/32''', the '''keenanismic supermajor sixth''', is [[385/384]] (~4.5 [[cent|¢]]) sharper than [[12/7]], making it more than a bit useful in [[11-limit]] just intonation.
'''55/32''', the '''keenanismic supermajor sixth''', is [[385/384]] (~4.5 [[cent|¢]]) sharper than [[12/7]], making it more than a bit useful in [[11-limit]] just intonation.


It also happens to be the ratio between the standard A of 440Hz and the nonstandard C of 256Hz, occasionally used for mathematical convenience.
It also happens to be the ratio between the standard A of 440Hz and the nonstandard C of 256Hz occasionally used for mathematical convenience.


== See also ==
== See also ==
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[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Supermajor sixth]]
[[Category:Supermajor sixth]]
{{todo|expand|improve synopsis}}
{{todo|improve synopsis}}

Latest revision as of 07:39, 3 January 2025

Interval information
Ratio 55/32
Factorization 2-5 × 5 × 11
Monzo [-5 0 1 0 1
Size in cents 937.6317¢
Name keenanismic supermajor sixth
Color name 1oy6, loyo 6th
FJS name [math]\displaystyle{ \text{M6}^{5,11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.7814
Weil height (log2 max(n, d)) 11.5627
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

55/32, the keenanismic supermajor sixth, is 385/384 (~4.5 ¢) sharper than 12/7, making it more than a bit useful in 11-limit just intonation.

It also happens to be the ratio between the standard A of 440Hz and the nonstandard C of 256Hz occasionally used for mathematical convenience.

See also