29/16: Difference between revisions
Jump to navigation
Jump to search
m Normalising usage of Infobox Interval |
No edit summary |
||
| (8 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = 29th harmonic | | Name = vicesimononal supraminor seventh, octave-reduced 29th harmonic | ||
| Color name = 29o7, tweno 7th | | Color name = 29o7, tweno 7th | ||
| Sound = jid_29_16_pluck_adu_dr220.mp3 | | 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:Seventh]] | ||
[[Category:Minor seventh]] | [[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