8/7: Difference between revisions
No edit summary |
m Improve wikipedia link |
||
| Line 8: | Line 8: | ||
| Sound = jid_8_7_pluck_adu_dr220.mp3 | | Sound = jid_8_7_pluck_adu_dr220.mp3 | ||
}} | }} | ||
{{Wikipedia|Septimal whole tone }} | |||
In [[just intonation]], 8/7 is the '''supermajor second''' or '''septimal major second''' of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢. | In [[just intonation]], 8/7 is the '''supermajor second''' or '''septimal major second''' of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢. | ||
| Line 17: | Line 18: | ||
* [[21/16]] – its [[fifth complement]] | * [[21/16]] – its [[fifth complement]] | ||
* [[7/6]] – its [[fourth complement]] | * [[7/6]] – its [[fourth complement]] | ||
* [[Gallery of | * [[Gallery of just intervals]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
| Line 25: | Line 25: | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Whole tone]] | [[Category:Whole tone]] | ||
[[Category:Supermajor second]] | |||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Subharmonic]] | [[Category:Subharmonic]] | ||
[[Category:Over-7]] | [[Category:Over-7]] | ||
Revision as of 20:39, 16 November 2021
| Interval information |
supermajor second,
septimal major second
reduced,
reduced subharmonic
[sound info]
In just intonation, 8/7 is the supermajor second or septimal major second of approximately 231.2¢. Although it falls between the familiar major second and minor third of 12edo, it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a superparticular ratio. In 7-limit JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh (7/4) and octave. It differs from the Pythagorean major second of 9/8 by 64/63, a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.
Three supermajor seconds is close to a perfect fifth. The difference is 1029/1024 (about 8.4¢), which is tempered out in slendric and 31edo.
See also
- 7/4 – its octave complement
- 21/16 – its fifth complement
- 7/6 – its fourth complement
- Gallery of just intervals