105/64: Difference between revisions
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'''105/64''' is a [[7-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth. | '''105/64''' is a [[7-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 0.048¢. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by a schismina ([[4096/4095]]). 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. | When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the [[Akjaysma|difference between 5\7 and 105/64]] is 0.048¢. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by a schismina ([[4096/4095]]). 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 == | == See also == | ||
Revision as of 13:37, 3 September 2023
| Interval information |
reduced harmonic
105/64 is a 7-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 0.048¢. In addition, it only differs from the large tridecimal neutral sixth (64/39) by a schismina (4096/4095). 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.