175/144: Difference between revisions

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m Temperament it generates when stacked.
Keemic -> avicennmic, and note its actual function in JI
 
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{{Infobox Interval
{{Infobox Interval
| Name = keemic minor third
| Name = avicennmic minor third
| Color name = zyy3, zoyoyo 3rd
| Color name = zyy3, zoyoyo 3rd
}}
}}
'''175/144''', the '''avicennmic minor third''', is a [[7-limit]] interval that exceeds the [[32/27|Pythagorean minor third]] by an [[525/512|avicennma]]. It functions as a ''major'' third, being a [[81/64|Pythagorean major third]] flattened by two [[syntonic comma]]s and a [[septimal comma]], which is further evidenced by the fact that it equals a stack of a [[7/6]] septimal minor third and a [[25/24]] classical chromatic semitone. 


'''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.
== Terminology ==
This interval has also been called the ''keemic minor third'', viewed as fudged from [[6/5]] instead.  


== Temperaments ==
This interval is a near-optimal generator for the [[sixix]] temperament.
[[Category:Avicennmic]]
[[Category:Third]]
[[Category:Third]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Supraminor third]]
[[Category:Supraminor third]]

Latest revision as of 07:56, 16 September 2026

Interval information
Ratio 175/144
Factorization 2-4 × 3-2 × 52 × 7
Monzo [-4 -2 2 1⟩
Size in cents 337.5433 ¢
Name avicennmic 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 avicennmic minor third, is a 7-limit interval that exceeds the Pythagorean minor third by an avicennma. It functions as a major third, being a Pythagorean major third flattened by two syntonic commas and a septimal comma, which is further evidenced by the fact that it equals a stack of a 7/6 septimal minor third and a 25/24 classical chromatic semitone.

Terminology

This interval has also been called the keemic minor third, viewed as fudged from 6/5 instead.

Temperaments

This interval is a near-optimal generator for the sixix temperament.