128/85: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 128/85
| Monzo = 7 0 -1 0 0 0 -1
| Cents = 708.73088
| Name = septendecimal fifth
| Name = septendecimal fifth
| Sound =
| Color name =
| FJS name =
}}
}}



Revision as of 12:43, 25 October 2022

Interval information
Ratio 128/85
Factorization 27 × 5-1 × 17-1
Monzo [7 0 -1 0 0 0 -1
Size in cents 708.7309¢
Name septendecimal fifth
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 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 intervals 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