6561/5120: Difference between revisions

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Created page with "{{Infobox Interval | Name = retroptolemaic major third | Color name = lagu 3rd, ly3 }} '''6561/5120''', the '''retroptolemaic major third''', is a 5-limit interval mea..."
 
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'''6561/5120''', the '''retroptolemaic major third''', is a [[5-limit]] [[interval]] measuring about 429.32{{cent}}. It is equal to the Pythagorean major third of [[81/64]] ''raised'' by a syntonic comma ([[81/80]]), compared to the just major third [[5/4]] which is the Pythagorean interval ''lowered'' by the syntonic comma. It differs from [[41/32]], the 41st harmonic, by the unnoticeable comma [[6561/6560]].
'''6561/5120''', the '''retroptolemaic major third''', is a [[5-limit]] [[interval]] measuring about 429.32{{cent}}. It is equal to the Pythagorean major third of [[81/64]] ''raised'' by a syntonic comma ([[81/80]]), compared to the just major third [[5/4]] which is the Pythagorean interval ''lowered'' by the syntonic comma. It differs from [[41/32]], the 41st harmonic, by the unnoticeable comma [[6561/6560]].
[[Category:Major third]]
[[Category:Supermajor third]]

Revision as of 00:22, 15 August 2024

Interval information
Ratio 6561/5120
Factorization 2-10 × 38 × 5-1
Monzo [-10 8 -1
Size in cents 429.3263¢
Name retroptolemaic major third
Color name lagu 3rd, ly3
FJS name [math]\displaystyle{ \text{M3}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 25.0016
Weil norm (log2 max(n, d)) 25.3594
Wilson norm (sopfr(nd)) 49
Open this interval in xen-calc

6561/5120, the retroptolemaic major third, is a 5-limit interval measuring about 429.32 ¢. It is equal to the Pythagorean major third of 81/64 raised by a syntonic comma (81/80), compared to the just major third 5/4 which is the Pythagorean interval lowered by the syntonic comma. It differs from 41/32, the 41st harmonic, by the unnoticeable comma 6561/6560.