32/19: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Expansion
Fredg999 (talk | contribs)
m Fixed typo, misc. edits, categories
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 32/19
| Ratio = 32/19
| Monzo = 5 0 0 0 0 0 0 -1
| Monzo = 5 0 0 0 0 0 0 -1
Line 10: Line 9:
}}
}}


'''32/19''' is a [[19-limit]] interval, 802.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16|Pythagorean major sixth]].  
'''32/19''' is a [[19-limit]] interval, 902.5 [[cent]]s in size, the '''utonal major sixth''' or '''octave-reduced 19th subharmonic''', which is extremely close to the major sixth of [[12edo]] (900 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[27/16|Pythagorean major sixth]].  


== See also ==
== See also ==
Line 17: Line 16:


[[Category:19-limit]]
[[Category:19-limit]]
[[Category:Interval]]
[[Category:Sixth]]
[[Category:Just interval]]
[[Category:Major sixth]]
[[Category:Major sixth]]
[[Category:Sixth]]
[[Category:Boethius]]
[[Category:Boethius]]
[[Category:Listen]]
[[Category:Octave-reduced subharmonics]]
[[Category:Pages with internal sound examples]]
 
{{todo|add color name}}

Revision as of 18:43, 16 December 2021

Interval information
Ratio 32/19
Subgroup monzo 2.19 [5 -1
Size in cents 902.487¢
Names utonal major sixth,
octave-reduced 19th subharmonic
FJS name [math]\displaystyle{ \text{M6}_{19} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 9.24793
Weil height (log2 max(n, d)) 10
Wilson height (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

32/19 is a 19-limit interval, 902.5 cents in size, the utonal major sixth or octave-reduced 19th subharmonic, which is extremely close to the major sixth of 12edo (900 cents). It is an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major sixth.

See also