19/16: Difference between revisions
Jump to navigation
Jump to search
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|" |
m →Approximation: horrible. do better |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox | {{Infobox interval | ||
| Name = otonal minor third, octave-reduced 19th harmonic | | Name = otonal minor third, octave-reduced 19th harmonic | ||
| Color name = 19o3, ino 3rd | | Color name = 19o3, ino 3rd | ||
| Line 5: | Line 5: | ||
}} | }} | ||
'''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 == | == 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 == | ||
* [[32/19]] – its [[octave complement]] | * [[32/19]] – its [[octave complement]] | ||
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.