105/64: Difference between revisions
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{{Infobox Interval|Ratio=105/64|Monzo=-6 1 1 1|Cents=857.094621|Name=septimal neutral sixth}} | {{Infobox Interval | ||
| Ratio = 105/64 | |||
| Monzo = -6 1 1 1 | |||
| Cents = 857.094621 | |||
| Name = septimal neutral sixth | |||
| FJS name = M6<sup>35</sup> | |||
}} | |||
'''105/64''' is a 7 [[Prime limit|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth. | '''105/64''' is a 7-[[Prime limit|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth. | ||
When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[ | When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[harmonic]]s, though so far this idea has not been tested. | ||
== See also == | |||
* [[Gallery of just intervals]] | |||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Interval]] | |||
[[Category:Sixth]] | |||
[[Category:Neutral sixth]] | |||
[[Category:Overtone]] | |||
Revision as of 11:44, 18 March 2021
| Interval information |
reduced harmonic
105/64 is a 7-prime-limit neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.
When used as a generator, it approximates 7edo as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via harmonics, though so far this idea has not been tested.