19/10: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 19/10 | | Ratio = 19/10 | ||
| Monzo = -1 0 -1 0 0 0 0 1 | | Monzo = -1 0 -1 0 0 0 0 1 | ||
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In [[19-limit]] [[just intonation]], '''19/10''' is the '''undevicesimal diminished octave''', measuring about 1111.2¢. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished octave'', obtained by adding [[81/80]] and [[513/512]] to the [[4096/2187|Pythagorean diminished octave]], but it may be called the '''Eratosthenes' major seventh''' as it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''. | In [[19-limit]] [[just intonation]], '''19/10''' is the '''undevicesimal diminished octave''', measuring about 1111.2¢. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished octave'', obtained by adding [[81/80]] and [[513/512]] to the [[4096/2187|Pythagorean diminished octave]], but it may be called the '''Eratosthenes' major seventh''' as it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''. | ||
[[Category:19-limit]] | [[Category:19-limit]] | ||
[[Category:Octave]] | [[Category:Octave]] | ||
[[Category:Diminished octave]] | [[Category:Diminished octave]] | ||
Revision as of 03:28, 15 December 2021
| Interval information |
Eratosthenes' major seventh
[sound info]
In 19-limit just intonation, 19/10 is the undevicesimal diminished octave, measuring about 1111.2¢. In the Functional Just System and Helmholtz-Ellis notation, it is a diminished octave, obtained by adding 81/80 and 513/512 to the Pythagorean diminished octave, but it may be called the Eratosthenes' major seventh as it is sharp of the Pythagorean major seventh (243/128) by 1216/1215, the password aka Eratosthenes' comma.