31/16: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = octave-reduced 31st harmonic | | Name = tricesimoprimal ultramajor seventh, tricesimoprimal semidiminished octave, octave-reduced 31st harmonic | ||
| Color name = thiwo 7th | | Color name = thiwo 7th | ||
| Sound = jid_31_16_pluck_adu_dr220.mp3 | | Sound = jid_31_16_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''31/16''' is the [[ | In [[31-limit]] [[just intonation]], '''31/16''' is either the '''tricesimoprimal ultramajor seventh''' or '''tricesimoprimal semidiminished octave''', which is also the [[octave reduction|octave-reduced]] [[31/1|31st]] [[harmonic]]. It is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[248/243]], and flat of the octave by [[32/31]]. | ||
== Approximation == | |||
31/16 is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16. | |||
== See also == | |||
* [[32/31]] – its [[octave complement]] | |||
* [[48/31]] – its [[twelfth complement]] | |||
[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Supermajor seventh]] | [[Category:Supermajor seventh]] | ||
[[Category: | [[Category:Octave]] | ||
[[Category:Suboctave]] | |||
Revision as of 05:10, 26 July 2024
| Interval information |
tricesimoprimal semidiminished octave,
octave-reduced 31st harmonic
reduced harmonic
[sound info]
In 31-limit just intonation, 31/16 is either the tricesimoprimal ultramajor seventh or tricesimoprimal semidiminished octave, which is also the octave-reduced 31st harmonic. It is sharp of the Pythagorean major seventh (243/128) by 248/243, and flat of the octave by 32/31.
Approximation
31/16 is very well approximated by 22edo, with 21\22 being 0.4 ¢ sharp of 31/16.
See also
- 32/31 – its octave complement
- 48/31 – its twelfth complement