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>classic minor second | | Name = classic/just diatonic semitone, <br>classic/just minor second | ||
| Color name = g2, gu 2nd | | Color name = g2, gu 2nd | ||
| FJS name = m2<sub>5</sub> | | FJS name = m2<sub>5</sub> | ||
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The [[5-limit]] | The [[5-limit]] [[superparticular]] interval '''16/15''' is the '''classic''' or '''just diatonic semitone''' – the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]]. | ||
== Temperaments == | |||
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. | ||
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* [[256/243]] - the Pythagorean (3-limit) diatonic semitone | * [[256/243]] - the Pythagorean (3-limit) diatonic semitone | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | |||
[[Category:5-limit]] | [[Category:5-limit]] | ||
Revision as of 13:50, 9 September 2021
| Interval information |
classic/just minor second
reduced,
reduced subharmonic
[sound info]
The 5-limit superparticular interval 16/15 is the classic or just diatonic semitone – the difference between the major third 5/4 and the fourth 4/3, and between 3/2 and 8/5.
Temperaments
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
- 15/8 – its octave complement
- 45/32 – its fifth complement
- 5/4 – its fourth complement
- 256/243 - the Pythagorean (3-limit) diatonic semitone
- Gallery of just intervals
- List of superparticular intervals