175/144: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Flirora (talk | contribs)
Created page with "{{Infobox Interval | Icon = | Ratio = {{subst:PAGENAME}} | Monzo = -4 -2 2 1 | Cents = {{subst:cents|{{subst:PAGENAME}}|5}} | Name = keemic minor third | Color name = | FJS..."
 
Yourmusic Productions (talk | contribs)
m Temperament it generates when stacked.
 
(6 intermediate revisions by 5 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 175/144
| Monzo = -4 -2 2 1
| Cents = 337.54333
| Name = keemic minor third
| Name = keemic minor third
| Color name =  
| Color name = zyy3, zoyoyo 3rd
| FJS name = M3<sup>5,5,7</sup>
| Sound =
}}
}}


'''175/144''', the '''keemic minor third''', is a 7-limit interval that exceeds [[6/5]] by [[875/864]].
'''175/144''', the '''keemic minor third''', is a [[7-limit]] interval that exceeds [[6/5]] by [[875/864]]. It is a near optimal generator for [[sixix]] temperament.


[[Category:Interval ratio]]
[[Category:Third]]
[[Category:7-limit]]
[[Category:Minor third]]
[[Category:Supraminor third]]

Latest revision as of 14:26, 17 January 2025

Interval information
Ratio 175/144
Factorization 2-4 × 3-2 × 52 × 7
Monzo [-4 -2 2 1
Size in cents 337.5433¢
Name keemic minor third
Color name zyy3, zoyoyo 3rd
FJS name [math]\displaystyle{ \text{M3}^{5,5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.6211
Weil norm (log2 max(n, d)) 14.9024
Wilson norm (sopfr(nd)) 31
Open this interval in xen-calc

175/144, the keemic minor third, is a 7-limit interval that exceeds 6/5 by 875/864. It is a near optimal generator for sixix temperament.