5/3: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
m +FJS name; cleanup |
||
| Line 4: | Line 4: | ||
| Monzo = 0 -1 1 | | Monzo = 0 -1 1 | ||
| Cents = 884.35871 | | Cents = 884.35871 | ||
| Name = major sixth | | Name = classic major sixth | ||
| Color name = y6, yo 6th | |||
| FJS name = M6<sup>5</sup> | |||
| Sound = jid_5_3_pluck_adu_dr220.mp3 | | Sound = jid_5_3_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[5-limit]] [[Just Intonation]], '''5/3''' is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[ | In [[5-limit]] [[Just Intonation]], '''5/3''' is a '''major sixth''' of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated. | ||
5/3 has a more mellow sound than 27/16, owing to its relative smallness. | 5/3 has a more mellow sound than 27/16, owing to its relative smallness. | ||
See | == See also == | ||
* [[6/5]] – its [[octave complement]] | |||
* [[Gallery of Just Intervals]] | |||
* [[Wikipedia:Major sixth|Major sixth - Wikipedia]] | |||
[[Category:5-limit]] | [[Category:5-limit]] | ||
[[Category: | [[Category:Interval]] | ||
[[Category: | [[Category:Just interval]] | ||
[[Category: | [[Category:Ratio]] | ||
[[Category:Sixth]] | [[Category:Sixth]] | ||
[[Category:Major sixth]] | |||
[[Category:Over-3]] | [[Category:Over-3]] | ||
Revision as of 11:35, 19 September 2020
| Interval information |
[sound info]
In 5-limit Just Intonation, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the harmonic series, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is 6/5, the 5-limit minor third. It differs from the Pythagorean major sixth of 27/16 (about 905.9¢) by the syntonic comma of 81/80 (about 21.5¢). This means that in systems which temper out the syntonic comma, such as 12edo and meantone systems, 5/3 and 27/16 are conflated.
5/3 has a more mellow sound than 27/16, owing to its relative smallness.