177147/163840: Difference between revisions

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'''177147/163840''' is equal to an [[apotome]] plus a [[syntonic comma]], putting it on the [[Syntonic-chromatic equivalence continuum]]. It is tempered out in edos 7, 33, 40 & 47, creating a temperament where the 5ths are flat, but not as flat as [[mavila]] or [[whitewood]] and it takes 11 of them to reach the best approximation of the 5th harmonic.
'''177147/163840''' is equal to an [[apotome]] plus a [[syntonic comma]], putting it on the [[syntonic-chromatic equivalence continuum]]. It is tempered out in edos 7, 33, 40 & 47, creating a temperament where the 5ths are flat, but not as flat as [[mavila]] or [[whitewood]] and it takes 11 of them to reach the best approximation of the 5th harmonic.

Revision as of 15:49, 6 April 2023

Interval information
Ratio 177147/163840
Factorization 2-15 × 311 × 5-1
Monzo [-15 11 -1⟩
Size in cents 135.1913¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{A1}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 34.7565
Weil norm (log2 max(n, d)) 34.8692
Wilson norm (sopfr(nd)) 68
Comma size large
Open this interval in xen-calc

177147/163840 is equal to an apotome plus a syntonic comma, putting it on the syntonic-chromatic equivalence continuum. It is tempered out in edos 7, 33, 40 & 47, creating a temperament where the 5ths are flat, but not as flat as mavila or whitewood and it takes 11 of them to reach the best approximation of the 5th harmonic.

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