121/64: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
mNo edit summary
Xenwolf (talk | contribs)
added infobox (size, monzo, FSJ name)
Line 1: Line 1:
{{Infobox Interval
| Icon =
| Ratio = 121/64
| Monzo = -6 0 0 2
| Cents = 1102.63588
| Name = Alpharabian major seventh, <br> octave-reduced 121st harmonic
| Color name =
| FJS name = m7<sup>121</sup>
| Sound =
}}
'''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.
'''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.


Line 9: Line 20:
[[Category:Major seventh]]
[[Category:Major seventh]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]
[[Category:Todo:add color name]]

Revision as of 21:00, 27 October 2020

Interval information
Ratio 121/64
Factorization 2-6 × 112
Monzo [-6 0 0 0 2
Size in cents 1102.636¢
Names Alpharabian major seventh,
octave-reduced 121st harmonic
FJS name [math]\displaystyle{ \text{m7}^{121} }[/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 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.

See also