18/17: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 18/17 | | Ratio = 18/17 | ||
| Monzo = 1 2 0 0 0 0 -1 | | Monzo = 1 2 0 0 0 0 -1 | ||
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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 | 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. | There exists a disagreement in different notation systems on whether 18/17 should be notated as a diatonic semitone or a chromatic semitone. In the [[Functional Just System]], it is a chromatic semitone, whereas in [[Helmholtz-Ellis notation]], it is a diatonic semitone. | ||
== See also == | == See also == | ||
| Line 22: | Line 21: | ||
[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Chroma]] | [[Category:Chroma]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
Revision as of 03:22, 15 December 2021
| Interval information |
reduced
[sound info]
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 the Functional Just System, it is a chromatic semitone, whereas in Helmholtz-Ellis notation, it is a diatonic semitone.
See also
- 17/9 – its octave complement
- 17/12 – its fifth complement
- Gallery of just intervals
- List of superparticular intervals
- AS18/17 - its ambitonal sequence