16/15: Difference between revisions
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| Monzo = 4 -1 -1 | | Monzo = 4 -1 -1 | ||
| Cents = 111.73129 | | Cents = 111.73129 | ||
| Name = diatonic semitone, <br | | Name = diatonic semitone, <br>classic minor second | ||
| Color name = g2, gu 2nd | | Color name = g2, gu 2nd | ||
| FJS name = m2<sub>5</sub> | |||
| Sound = jid_16_15_pluck_adu_dr220.mp3 | | Sound = jid_16_15_pluck_adu_dr220.mp3 | ||
}} | }} | ||
The [[5-limit]] just '''diatonic semitone''' is the [[superparticular]] interval '''16/15''' | The [[5-limit]] just '''diatonic semitone''' is the [[superparticular]] interval '''16/15''' – the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]]. | ||
When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become [[octave-inverses]] of each other. | When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become [[octave-inverses]] of each other. | ||
== See also == | == See also == | ||
* [[15/8]] its [[ | * [[15/8]] – its [[octave complement]] | ||
* [[45/32]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
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[[Category:Just interval]] | [[Category:Just interval]] | ||
[[Category:Ratio]] | [[Category:Ratio]] | ||
[[Category: | [[Category:Listen]] | ||
[[Category:Second]] | |||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Subharmonic]] | [[Category:Subharmonic]] | ||
Revision as of 13:10, 19 September 2020
| Interval information |
classic minor second
reduced,
reduced subharmonic
[sound info]
The 5-limit just diatonic semitone is the superparticular interval 16/15 – the difference between the major third 5/4 and the fourth 4/3, and between 3/2 and 8/5.
When this ratio is taken as a comma to be tempered, it produces father temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.