121/64: Difference between revisions

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Aura (talk | contribs)
Changed name due to changes in Alpharabian-tuning-based terminology
Fredg999 (talk | contribs)
Fixed typo in monzo, misc. edits, categories
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 121/64
| Ratio = 121/64
| Monzo = -6 0 0 2
| Monzo = -6 0 0 0 2
| Cents = 1102.63588
| Cents = 1102.63588
| Name = Axirabian major seventh, <br> octave-reduced 121st harmonic
| Name = Axirabian major seventh, <br> octave-reduced 121st harmonic
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[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Major seventh]]
[[Category:Major seventh]]
[[Category:Overtone]]
[[Category:Octave-reduced harmonics]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]


[[Category:Todo:add color name]]
{{todo|add color name}}

Revision as of 17:12, 11 March 2022

Interval information
Ratio 121/64
Factorization 2-6 × 112
Monzo [-6 0 0 0 2
Size in cents 1102.636¢
Names Axirabian 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 Axirabian 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