85/64: Difference between revisions

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Created page with "{{Infobox Interval | JI glyph = | Ratio = 85/64 | Monzo = -6 0 1 0 0 0 1 | Cents = 491.26912 | Name = septendecimal fourth | Sound = | Color name = | FJS name = }} '''85/..."
 
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'''85/64''', the '''septendecimal fourth''', is a [[17-limit]] interval that closely approximates [[4/3]], from which it differs by [[256/255]].  Because it differs from [[15/8]] by [[24/17]], this interval is an easy substitute for 4/3 in scales where one desires to simultaneously maintain [[Rothenberg propriety]] and ensure that all notes in the scale suggest the Tonic as the virtual fundamental when played simultaneously.
'''85/64''', the '''septendecimal fourth''', is a [[17-limit]] interval that closely approximates [[4/3]], from which it differs by [[256/255]].  Because it differs from [[15/8]] by [[24/17]], this interval is an easy substitute for 4/3 in scales where one desires to simultaneously maintain [[Rothenberg propriety]] and ensure that all notes in the scale suggest the Tonic as the virtual fundamental when played simultaneously.
== See also ==
* [[128/85]] – its [[octave complement]]
* [[96/85]] – its [[fifth complement]]
* [[Gallery of just intervals]]

Revision as of 17:47, 28 January 2021

Interval information
Ratio 85/64
Factorization 2-6 × 5 × 17
Monzo [-6 0 1 0 0 0 1
Size in cents 491.2691¢
Name septendecimal fourth
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 fourth, is a 17-limit interval that closely approximates 4/3, from which it differs by 256/255. Because it differs from 15/8 by 24/17, this interval is an easy substitute for 4/3 in scales where one desires to simultaneously maintain Rothenberg propriety and ensure that all notes in the scale suggest the Tonic as the virtual fundamental when played simultaneously.

See also