85/64: Difference between revisions

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Replace "archagall fourth" with one that makes way more sense. + category
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| Color name = 17oy4, soyo 4th
| Color name = 17oy4, soyo 4th
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'''85/64''', the '''septendecimal harmonic fourth''' or '''charismic fourth''', is a [[17-limit]] [[rooted]] interval that comes rather close to [[4/3]], from which it differs by [[256/255]]. Notably, 85/64 is one of two intervals relatively simple intervals that can be used to generate a just version of something resembling a [[superpyth]] diatonic scale, the other being [[128/85]].
'''85/64''', the '''septendecimal harmonic fourth''' or '''charismic fourth''', is a [[17-limit]] [[rooted]] interval that comes rather close to [[4/3]], from which it differs by [[256/255]]. Notably, 85/64 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 [[128/85]].


== See also ==
== See also ==

Latest revision as of 11:41, 22 July 2026

Interval information
Ratio 85/64
Factorization 2-6 × 5 × 17
Monzo [-6 0 1 0 0 0 1
Size in cents 491.2691¢
Names septendecimal harmonic fourth,
charismic fourth
Color name 17oy4, soyo 4th
FJS name [math]\displaystyle{ \text{P4}^{5,17} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 12.4094
Weil norm (log2 max(n, d)) 12.8188
Wilson norm (sopfr(nd)) 34
Open this interval in xen-calc

85/64, the septendecimal harmonic fourth or charismic fourth, is a 17-limit rooted interval that comes rather close to 4/3, from which it differs by 256/255. Notably, 85/64 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 128/85.

See also