29/16: Difference between revisions
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'''29/16''' | {{Infobox Interval | ||
|- | | Name = vicesimononal supraminor seventh, octave-reduced 29th harmonic | ||
| Color name = 29o7, tweno 7th | |||
| Sound = jid_29_16_pluck_adu_dr220.mp3 | |||
}} | |||
In [[29-limit]] [[just intonation]], '''29/16''' is the '''vicesimononal supraminor seventh''', which is also the [[octave reduction|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}). | |||
== Approximation == | |||
This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184. | |||
[[ | == See also == | ||
* [[32/29]] – its [[octave complement]] | |||
* [[48/29]] – its [[twelfth complement]] | |||
[[Category:Seventh]] | |||
[[Category: | [[Category:Minor seventh]] | ||
[[Category:Equable heptatonic]] | |||
Latest revision as of 19:02, 19 August 2024
| Interval information |
octave-reduced 29th harmonic
reduced harmonic
[sound info]
In 29-limit just intonation, 29/16 is the vicesimononal supraminor seventh, which is also the octave-reduced 29th harmonic. It is sharp of the Pythagorean minor seventh (16/9) by 261/256 (~33 ¢), and sharp of the classic minor seventh (9/5) by 145/144 (~12 ¢).
Approximation
This interval is very accurately approximated by 7edo (6\7). It is approximately a cent away from it, the difference being the jackpot comma, 17249876309/17179869184.
See also
- 32/29 – its octave complement
- 48/29 – its twelfth complement