128/85: Difference between revisions

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'''128/85''', the '''septendecimal subharmonic fifth''' or '''archagall fifth''', is a [[17-limit]] [[uprooted]] interval that comes rather close to [[3/2]], from which it differs by [[256/255]].  Notably, 128/85 is one of two relatively simple intervals that can be used to generate a just version of something resembling a [[superpyth]] diatonic scale, the other being [[85/64]].
'''128/85''', the '''septendecimal subharmonic fifth''' or '''[[archagall]] fifth''', is a [[17-limit]] [[uprooted]] interval that comes rather close to [[3/2]], from which it differs by [[256/255]].  Notably, 128/85 is one of two relatively simple intervals that can be used to generate a just version of something resembling a [[superpyth]] diatonic scale, the other being [[85/64]].


== See also ==
== See also ==
* [[85/64]] – its [[octave complement]]
* [[85/64]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Latest revision as of 10:49, 13 April 2025

Interval information
Ratio 128/85
Factorization 27 × 5-1 × 17-1
Monzo [7 0 -1 0 0 0 -1
Size in cents 708.7309¢
Names septendecimal subharmonic fifth,
archagall fifth
Color name 17ug5, sugu 5th
FJS name [math]\displaystyle{ \text{P5}_{5,17} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 13.4094
Weil height (log2 max(n, d)) 14
Wilson height (sopfr(nd)) 36
Open this interval in xen-calc

128/85, the septendecimal subharmonic fifth or archagall fifth, is a 17-limit uprooted interval that comes rather close to 3/2, from which it differs by 256/255. Notably, 128/85 is one of two relatively simple intervals that can be used to generate a just version of something resembling a superpyth diatonic scale, the other being 85/64.

See also