19/10: Difference between revisions
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m infoboxified |
Expansion according to its octave complement |
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| Monzo = -1 0 -1 0 0 0 0 1 | | Monzo = -1 0 -1 0 0 0 0 1 | ||
| Cents = 1111.19930 | | Cents = 1111.19930 | ||
| Name = | | Name = undeviceismal diminished octave, <br>Eratosthenes' major seventh | ||
| Color name = | | Color name = | ||
| FJS name = | | FJS name = d8<sup>19</sup><sub>5</sub> | ||
| Sound = jid_19_10_pluck_adu_dr220.mp3 | | Sound = jid_19_10_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''19/10''' is a [[ | 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 limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''. | ||
[[ | [[Category:19-limit]] | ||
[[ | [[Category:Interval]] | ||
[[Category:Octave]] | |||
[[Category: | [[Category:Diminished octave]] | ||
[[Category:Seventh]] | |||
[[Category:Major seventh]] | |||
[[Category:Eratosthenes]] | |||
Revision as of 07:13, 6 February 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 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 limma (256/243) by 1216/1215, the password aka Eratosthenes' comma.