19/16: Difference between revisions
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{{Infobox | {{Infobox interval | ||
| Name = otonal minor third, octave-reduced 19th harmonic | |||
| Color name = 19o3, ino 3rd | |||
| Name = otonal minor third, | |||
| Color name = | |||
| Sound = jid_19_16_pluck_adu_dr220.mp3 | | Sound = jid_19_16_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal | '''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal schisma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27|Pythagorean minor third]]. | ||
== Approximation == | |||
19/16 is very accurately approximated by [[121edo]] (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper. | |||
== See also == | == See also == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category: | [[Category:Third]] | ||
[[Category:Minor third]] | [[Category:Minor third]] | ||
[[Category:Boethius]] | [[Category:Boethius]] | ||
Latest revision as of 01:06, 7 June 2026
| Interval information |
octave-reduced 19th harmonic
reduced harmonic
[sound info]
19/16 is a 19-limit interval, 297.5 cents in size, the otonal minor third or octave-reduced 19th harmonic, which is extremely close to the minor third of 12edo (300 cents). It is an undevicesimal schisma aka Boethius' comma (513/512) above the Pythagorean minor third.
Approximation
19/16 is very accurately approximated by 121edo (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper.