32/19: Difference between revisions

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m I added the FJS name the wrong place :)
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added color name
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = utonal major sixth, octave-reduced 19th subharmonic
| Ratio = 32/19
| Color name = 19u6, inu 6th
| Monzo = 5 0 0 0 0 0 0 -1
| Cents = 902.48698
| Name = utonal major sixth, <br> octave-reduced 19th subharmonic
| Color name =  
| FJS name = M6<sub>19</sub>
| Sound = jid_32_19_pluck_adu_dr220.mp3
| Sound = jid_32_19_pluck_adu_dr220.mp3
}}
}}


'''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).
'''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 16: Line 11:
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:19-limit]]
[[Category:Sixth]]
[[Category:Interval]]
[[Category:Just interval]]
[[Category:Major sixth]]
[[Category:Major sixth]]
[[Category:Sixth]]
[[Category:Boethius]]
[[Category:Listen]]
 
[[Category:todo:expand]]
[[Category:todo:improve synopsis]]

Latest revision as of 02:32, 4 December 2022

Interval information
Ratio 32/19
Subgroup monzo 2.19 [5 -1
Size in cents 902.487¢
Names utonal major sixth,
octave-reduced 19th subharmonic
Color name 19u6, inu 6th
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