105/64: Difference between revisions
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'''105/64''' is a [[7-limit]] neutral sixth and is 857.095{{c}} 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{{c}}, 1/7 of an [[akjaysma]]. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by [[4096/4095]]. When we also consider that 105/64 can be thought of as the [[octave reduction|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 | |||
== See also == | == See also == | ||
Latest revision as of 10:09, 3 March 2026
| 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 ¢, 1/7 of an akjaysma. In addition, it only differs from the large tridecimal neutral sixth (64/39) by 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.