21/20: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 21/20
| Name = septimal minor semitone, large septimal chroma
| Monzo = -2 1 -1 1
| Cents = 84.4672
| Name = septimal minor semitone, <br>large septimal chroma
| Color name = zg2, zogu 2nd
| Color name = zg2, zogu 2nd
| FJS name = m2<sup>7</sup><sub>5</sub>
| Sound = jid_21_20_pluck_adu_dr220.mp3
| Sound = jid_21_20_pluck_adu_dr220.mp3
}}
}}
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* [[Septisemi temperaments]], where it is tempered out
* [[Septisemi temperaments]], where it is tempered out


[[Category:7-limit]]
[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Chroma]]
[[Category:Chroma]]
[[Category:Superparticular]]
[[Category:Septisemi]]
[[Category:Septisemi]]
{{todo|improve synopsis}}
{{todo|improve synopsis}}

Revision as of 12:36, 25 October 2022

Interval information
Ratio 21/20
Factorization 2-2 × 3 × 5-1 × 7
Monzo [-2 1 -1 1
Size in cents 84.46719¢
Names septimal minor semitone,
large septimal chroma
Color name zg2, zogu 2nd
FJS name [math]\displaystyle{ \text{m2}^{7}_{5} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 8.71425
Weil height (log2 max(n, d)) 8.78463
Wilson height (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

21/20 is a small semitone of about 85 cents. It may be found in 7-limit just intonation as, for example, the difference between 4/3 and 7/5, 8/7 and 6/5, or 5/3 and 7/4.

Terminology

21/20 is traditionally called a chroma, perhaps for its proximity (and conflation in systems like septimal meantone) with the major chroma 135/128. However, it is a diatonic semitone in both Helmholtz-Ellis notation and Functional Just System, viewed as the Pythagorean minor second 256/243 altered by 5120/5103. Marc Sabat has taken to call it the minor diatonic semitone in the same material where 15/14 is also named as the major chromatic semitone[1].

See also