64/51: Difference between revisions

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Also very closely approximated by the down-major third of 58edo
 
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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = septendecimal artomean major third, octave-reduced 51st subharmonic
| Ratio = 64/51
| Color name = 17u3, su 3rd
| Monzo = 6 -1 0 0 0 0 -1
| Cents = 393.08959
| Name = septendecimal artomean major third, <br> octave-reduced 51st subharmonic
| Sound =
| Color name =  
| FJS name =
}}
}}


'''64/51''', the '''septendecimal artomean major third''' or '''octave-reduced 51st subharmonic''', is a [[17-limit]] major third of approximately 393.09 [[cent]]s.
'''64/51''', the '''septendecimal artomean major third''' or '''octave-reduced 51st subharmonic''', is a [[17-limit]] major third of approximately 393{{cent}}. It is very closely approximated by the classic ([[meantone]]) major third (18\55) of [[55edo]] and by the down-major third (19\58) of [[58edo]].


== See also ==
== See also ==
* [[51/32]] – its [[octave complement]]
* [[51/32]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
[[Category:Third]]
[[Category:Major third]]

Latest revision as of 06:19, 13 September 2026

Interval information
Ratio 64/51
Subgroup monzo 2.3.17 [6 -1 -1⟩
Size in cents 393.0896 ¢
Names septendecimal artomean major third,
octave-reduced 51st subharmonic
Color name 17u3, su 3rd
FJS name [math]\displaystyle{ \text{M3}_{17} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 11.6724
Weil norm (log2 max(n, d)) 12
Wilson norm (sopfr(nd)) 32
Open this interval in xen-calc

64/51, the septendecimal artomean major third or octave-reduced 51st subharmonic, is a 17-limit major third of approximately 393 ¢. It is very closely approximated by the classic (meantone) major third (18\55) of 55edo and by the down-major third (19\58) of 58edo.

See also