16/15: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 16/15
| Name = classic/just diatonic semitone, classic/just minor second
| Monzo = 4 -1 -1
| Cents = 111.73129
| 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>
| Sound = jid_16_15_pluck_adu_dr220.mp3
| Sound = jid_16_15_pluck_adu_dr220.mp3
}}
}}
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* [[16/15ths equal temperament|AS16/15]] - its ambitonal sequence
* [[16/15ths equal temperament|AS16/15]] - its ambitonal sequence


[[Category:5-limit]]
[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Superparticular]]
[[Category:Octave-reduced subharmonics]]

Revision as of 11:54, 25 October 2022

Interval information
Ratio 16/15
Factorization 24 × 3-1 × 5-1
Monzo [4 -1 -1
Size in cents 111.7313¢
Names classic/just diatonic semitone,
classic/just minor second
Color name g2, gu 2nd
FJS name [math]\displaystyle{ \text{m2}_{5} }[/math]
Special properties square superparticular,
reduced,
reduced subharmonic
Tenney height (log2 nd) 7.90689
Weil height (log2 max(n, d)) 8
Wilson height (sopfr(nd)) 16

[sound info]
Open this interval in xen-calc

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 complements of each other.

See also