125/108: Difference between revisions

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Added name and color name, added info and links, cleaned up
This interval is considered an augmented second almost universally. No need to call out FJS
 
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{{Infobox Interval|Name=triptolemaic augmented second|Color name=y<sup>3</sup>3, triyo 3rd}}
{{Infobox Interval
'''125/108''', the '''triptolemaic augmented second''', is a [[5-limit]] interval of about 253.1[[Cent|¢]] that is very near the [[24edo]] inframinor third/ultramajor second. It is considered an augmented second in [[Functional Just System|FJS notation]]. It is also the [[19683/16384|pythagorean augmented second]] (19683/16384) flattened by three [[81/80|syntonic commas]], which lends itself the term ''triptolemaic''. It differs from the [[9/8|whole tone]] by [[250/243]].
| Name = triptolemaic augmented second
| Color name=y<sup>3</sup>3, triyo 3rd
}}
'''125/108''', the '''triptolemaic augmented second''', is a [[5-limit]] interval of about 253.1 [[cent]]s that is very near the [[24edo]] inframinor third/ultramajor second. It is the [[19683/16384|pythagorean augmented second]] (19683/16384) flattened by three [[81/80|syntonic commas]], which lends itself the term ''triptolemaic''. It differs from the [[9/8|whole tone]] by [[250/243]].

Latest revision as of 08:05, 20 February 2025

Interval information
Ratio 125/108
Factorization 2-2 × 3-3 × 53
Monzo [-2 -3 3
Size in cents 253.0761¢
Name triptolemaic augmented second
Color name y33, triyo 3rd
FJS name [math]\displaystyle{ \text{A2}^{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.7207
Weil norm (log2 max(n, d)) 13.9316
Wilson norm (sopfr(nd)) 28
Open this interval in xen-calc

125/108, the triptolemaic augmented second, is a 5-limit interval of about 253.1 cents that is very near the 24edo inframinor third/ultramajor second. It is the pythagorean augmented second (19683/16384) flattened by three syntonic commas, which lends itself the term triptolemaic. It differs from the whole tone by 250/243.