64/43: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = quadracesimotertial subharmonic fifth
| Name = prime subharmonic fifth
| Color name = fothu 5th, 43u5
| Color name = fothu 5th, 43u5
}}
}}
'''64/43''', the '''quadracesimotertial subharmonic fifth''' is a narrow fifth close to those of [[7edo]] and [[26edo]], and, is the first octave-reduced subharmonic that is a diatonic fifth.  
'''64/43''', the '''prime subharmonic fifth''' is a narrow fifth close to those of [[7edo]] and [[26edo]], and, is the first octave-reduced subharmonic that is a diatonic fifth. This interval is useful for describing [[dual-fifth]] [[regular temperament]]s where the sharp fifth is significantly closer to [[3/2]] than the flat fifth, by mapping the flat fifth to 64/43 and sharp fifth to 3/2.
 
== See also ==
== See also ==
* [[43/32]] – its [[octave complement]]
* [[43/32]] – its [[octave complement]]

Latest revision as of 01:34, 8 October 2024

Interval information
Ratio 64/43
Subgroup monzo 2.43 [6 -1
Size in cents 688.4823¢
Name prime subharmonic fifth
Color name fothu 5th, 43u5
FJS name [math]\displaystyle{ \text{P5}_{43} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.4263
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 55
Open this interval in xen-calc

64/43, the prime subharmonic fifth is a narrow fifth close to those of 7edo and 26edo, and, is the first octave-reduced subharmonic that is a diatonic fifth. This interval is useful for describing dual-fifth regular temperaments where the sharp fifth is significantly closer to 3/2 than the flat fifth, by mapping the flat fifth to 64/43 and sharp fifth to 3/2.

See also