18/17: Difference between revisions

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In [[17-limit]] [[just intonation]], '''18/17''' is the '''small septendecimal semitone''' of about 99¢. It is very close to [[12edo]]'s "half step" of 100¢, and fairly close to the "large septendecimal semitone" of [[17/16]] (~105¢).
In [[17-limit]] [[just intonation]], '''18/17''' is the '''small septendecimal semitone''' of about 99¢. It is very close to [[12edo|12EDO]]'s "half step" of 100¢, and fairly close to the "large septendecimal semitone" of [[17/16]] (~105¢).


There exists a disagreement in different notation systems on whether 18/17 should be notated as a diatonic semitone or a chromatic semitone. In [[Functional Just System]], it is a chromatic semitone, whereas in [[Helmholtz-Ellis notation]], it is a diatonic semitone.  
There exists a disagreement in different notation systems on whether 18/17 should be notated as a diatonic semitone or a chromatic semitone. In [[Functional Just System]], it is a chromatic semitone, whereas in [[Helmholtz-Ellis notation]], it is a diatonic semitone.  
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
* [[18/17s equal temperament|AS18/17]] - its ambitonal sequence


[[Category:17-limit]]
[[Category:17-limit]]

Revision as of 22:19, 10 September 2021

Interval information
Ratio 18/17
Subgroup monzo 2.3.17 [1 2 -1
Size in cents 98.95459¢
Name small septendecimal semitone
Color name 17u1, su semitone
FJS name [math]\displaystyle{ \text{A1}_{17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 8.25739
Weil height (log2 max(n, d)) 8.33985
Wilson height (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 18/17 is the small septendecimal semitone of about 99¢. It is very close to 12EDO's "half step" of 100¢, and fairly close to the "large septendecimal semitone" of 17/16 (~105¢).

There exists a disagreement in different notation systems on whether 18/17 should be notated as a diatonic semitone or a chromatic semitone. In Functional Just System, it is a chromatic semitone, whereas in Helmholtz-Ellis notation, it is a diatonic semitone.

See also