10/9: Difference between revisions
m cats |
m +FJS name; cleanup |
||
| Line 6: | Line 6: | ||
| Name = small whole tone | | Name = small whole tone | ||
| Color name = y2, yo 2nd | | Color name = y2, yo 2nd | ||
| FJS name = M2<sup>5</sup> | |||
| Sound = jid_10_9_pluck_adu_dr220.mp3 | | Sound = jid_10_9_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[5-limit]] [[Just Intonation]], '''10/9''' is a '''small whole tone''' of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[ | In [[5-limit]] [[Just Intonation]], '''10/9''' is a '''small whole tone''' of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9. | ||
The first three notes of a JI major scale | The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference is tiny and hard to notice at first. | ||
== See also == | |||
* [[9/5]] – its [[octave complement]] | |||
* [[27/20]] – its [[fifth complement]] | |||
* [[Gallery of Just Intervals]] | |||
* [[Wikipedia:Major second|Major second - Wikipedia]] | |||
[[Category:5-limit]] | [[Category:5-limit]] | ||
| Line 21: | Line 26: | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Whole tone]] | [[Category:Whole tone]] | ||
[[Category:Superparticular]] | |||
Revision as of 13:00, 19 September 2020
| Interval information |
reduced
[sound info]
In 5-limit Just Intonation, 10/9 is a small whole tone of about 182.4¢. It is a superparticular interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is 9/8 (about 203.9¢), which is 81/80 (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to 12edo's single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.
The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, 19edo, 31edo and other meantone systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference is tiny and hard to notice at first.