959/540: Difference between revisions
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{{Mathematical interest}} | |||
{{Infobox Interval | {{Infobox Interval | ||
| Name = harmonic/Pythagorean/just minor seventh meantone | | Name = harmonic/Pythagorean/just minor seventh meantone | ||
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In [[just intonation]], 959/540 is the frequency ratio between the 959th and the 540th [[harmonic]]. | In [[just intonation]], 959/540 is the frequency ratio between the 959th and the 540th [[harmonic]]. It is a [[minor seventh]]. | ||
It is the mean between the [[7/4|harmonic seventh]], the [[16/9|Pythagorean minor seventh]] and the [[9/5|just minor seventh]]: (7/4 + 16/9 + 9/5)/3 = 959/540. | It is the mean between the [[7/4|harmonic seventh]], the [[16/9|Pythagorean minor seventh]] and the [[9/5|just minor seventh]]: (7/4 + 16/9 + 9/5)/3 = 959/540. | ||
[[Category:Seventh]] | |||
[[Category:Minor seventh]] | |||
Latest revision as of 21:21, 18 October 2025
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Interval information |
In just intonation, 959/540 is the frequency ratio between the 959th and the 540th harmonic. It is a minor seventh.
It is the mean between the harmonic seventh, the Pythagorean minor seventh and the just minor seventh: (7/4 + 16/9 + 9/5)/3 = 959/540.