121/64: Difference between revisions

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'''121/64''', the '''Alpharabian major seventh''', or '''octave-reduced 121st harmonic''', is an [[11-limit]] interval that results from stacking two [[11/8]] fourths.  While the [[FJS]] and other systems that treat [[33/32]] as a comma end up designating 121/64 as a "minor seventh", this interval actually functions as a kind of major seventh- a property that is particularly evident when you consider that its octave complement is a type of diatonic semitone.
{{Infobox Interval
| Name = Axirabian tendomean major seventh, octave-reduced 121st harmonic
| Color name = 1oo7, lolo 7th
}}
 
'''121/64''', the '''Axirabian tendomean major seventh''', or '''octave-reduced 121st harmonic''', is an [[11-limit]] interval that results from stacking two [[11/8]] fourths.  While the [[FJS]] and other systems that treat [[33/32]] as a comma end up designating 121/64 as a "minor seventh", this interval actually functions as a kind of major seventh- a property that is particularly evident when you consider that its octave complement is a type of diatonic semitone.


== See also ==
== See also ==
* [[128/121]] – its [[octave complement]]
* [[128/121]] – its [[octave complement]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Major seventh]]
[[Category:Major seventh]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]

Latest revision as of 14:50, 22 June 2023

Interval information
Ratio 121/64
Factorization 2-6 × 112
Monzo [-6 0 0 0 2
Size in cents 1102.636¢
Names Axirabian tendomean major seventh,
octave-reduced 121st harmonic
Color name 1oo7, lolo 7th
FJS name [math]\displaystyle{ \text{m7}^{11,11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 12.9189
Weil height (log2 max(n, d)) 13.8377
Wilson height (sopfr(nd)) 34
Open this interval in xen-calc

121/64, the Axirabian tendomean major seventh, or octave-reduced 121st harmonic, is an 11-limit interval that results from stacking two 11/8 fourths. While the FJS and other systems that treat 33/32 as a comma end up designating 121/64 as a "minor seventh", this interval actually functions as a kind of major seventh- a property that is particularly evident when you consider that its octave complement is a type of diatonic semitone.

See also