19/15: Difference between revisions
Jump to navigation
Jump to search
m +FJS name; +links; recategories |
No edit summary Tags: Mobile edit Mobile web edit |
||
| (7 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox | {{Infobox interval | ||
| Name = large undevicesimal major third, Eratosthenes' major third | |||
| Name = | |||
| Color name = 19og4, nogu 4th | | Color name = 19og4, nogu 4th | ||
| Sound = jid_19_15_pluck_adu_dr220.mp3 | | Sound = jid_19_15_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''19/15''', the ''' | '''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[8192/6561|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents. | ||
== See also == | == See also == | ||
* [[30/19]] – its [[octave complement]] | * [[30/19]] – its [[octave complement]] | ||
* [[24/19]] – the | * [[45/38]] – its [[fifth complement]] | ||
* [[24/19]] – the small undevicesimal major third | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Major third]] | [[Category:Major third]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category: | [[Category:Eratosthenes]] | ||
Latest revision as of 10:20, 9 August 2025
| Interval information |
Eratosthenes' major third
[sound info]
19/15, the large undevicesimal major third is a 19-limit interval, 409.2 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is a diminished fourth, obtained by adding 81/80 and 513/512 to the Pythagorean diminished fourth, but it may be called the Eratosthenes' major third as it is sharper than the Pythagorean major third by the password aka Eratosthenes' comma (1216/1215), an unnoticeable comma of about 1.4243 cents.
See also
- 30/19 – its octave complement
- 45/38 – its fifth complement
- 24/19 – the small undevicesimal major third
- Gallery of just intervals