24/17: Difference between revisions
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| Name = smaller septendecimal tritone | | Name = smaller septendecimal tritone | ||
| Color name = | | Color name = | ||
| FJS name = A4<sub>17</sub> | |||
| Sound = jid_24_17_pluck_adu_dr220.mp3 | | Sound = jid_24_17_pluck_adu_dr220.mp3 | ||
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In [[17-limit]] [[just intonation]], '''24/17''' is the | In [[17-limit]] [[just intonation]], '''24/17''' is the '''smaller septendecimal tritone''', measuring very nearly 597¢. It is the [[mediant]] between [[7/5]] and [[17/12]], the "larger septendecimal tritone". The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered [[EDO]] systems, including [[12edo]]. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. [[22edo]] is another good EDO system for using the half-octave in this way. | ||
== See also == | |||
* [[17/12]] – its [[octave complement]] | |||
* [[17/16]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | |||
[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Interval]] | |||
[[Category:Ratio]] | |||
[[Category:Tritone]] | [[Category:Tritone]] | ||
Revision as of 12:28, 19 October 2020
| Interval information |
[sound info]
In 17-limit just intonation, 24/17 is the smaller septendecimal tritone, measuring very nearly 597¢. It is the mediant between 7/5 and 17/12, the "larger septendecimal tritone". The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered EDO systems, including 12edo. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. 22edo is another good EDO system for using the half-octave in this way.