18/11: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
Added additional info and an additional name
Aura (talk | contribs)
Changed the nomenclature concerning Alpharabian tuning
Line 4: Line 4:
| Monzo = 1 2 0 0 -1
| Monzo = 1 2 0 0 -1
| Cents = 852.59206
| Cents = 852.59206
| Name = undecimal neutral sixth, <br> greater Alpharabian neutral sixth
| Name = undecimal neutral sixth, <br> Alpharabian tendoneutral sixth
| Color name = 1u6, lu 6th
| Color name = 1u6, lu 6th
| FJS name = M6<sub>11</sub>
| FJS name = M6<sub>11</sub>
Line 10: Line 10:
}}
}}


'''18/11''', is an '''undecimal neutral sixth''', and the [[octave complement]] of [[11/9]], the difference between the 11th and 9th harmonic.  As this is the larger of two [[11-limit]] neutral sixths obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''greater Alpharabian neutral sixth''' in [[Alpharabian tuning]].
'''18/11''', is an '''undecimal neutral sixth''', and the [[octave complement]] of [[11/9]], the difference between the 11th and 9th harmonic.  As this is the larger of two [[11-limit]] neutral sixths obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral sixth''' in [[Alpharabian tuning]].


== See also ==
== See also ==

Revision as of 23:38, 29 January 2022

Interval information
Ratio 18/11
Factorization 2 × 32 × 11-1
Monzo [1 2 0 0 -1
Size in cents 852.5921¢
Names undecimal neutral sixth,
Alpharabian tendoneutral sixth
Color name 1u6, lu 6th
FJS name [math]\displaystyle{ \text{M6}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 7.62936
Weil norm (log2 max(n, d)) 8.33985
Wilson norm (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc

18/11, is an undecimal neutral sixth, and the octave complement of 11/9, the difference between the 11th and 9th harmonic. As this is the larger of two 11-limit neutral sixths obtained by modifying Pythagorean intervals by 33/32, it is dubbed the Alpharabian tendoneutral sixth in Alpharabian tuning.

See also