177147/163840: Difference between revisions

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'''177147/163840''', the '''tragicomma''' or '''deeptone comma''', is equal to an [[apotome]] plus a [[syntonic comma]], putting it on the [[syntonic-chromatic equivalence continuum]].  
'''177147/163840''', the '''tragicomma''' or '''deeptone comma''', is equal to an [[apotome]] plus a [[syntonic comma]], putting it on the [[syntonic–chromatic equivalence continuum]].  


It is tempered out in edos like [[7edo|7]], [[33edo|33]], [[40edo|40]], and [[47edo|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.  
It is tempered out in edos like [[7edo|7]], [[33edo|33]], [[40edo|40]], and [[47edo|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 01:58, 4 December 2024

Interval information
Ratio 177147/163840
Factorization 2-15 × 311 × 5-1
Monzo [-15 11 -1
Size in cents 135.1913¢
Names deeptone comma,
tragicomma
Color name Lg1, Lagu unison
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, the tragicomma or deeptone comma, is equal to an apotome plus a syntonic comma, putting it on the syntonic–chromatic equivalence continuum.

It is tempered out in edos like 7, 33, 40, and 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.

Deeptone was given by CompactStar in 2023. Tragicomical was allegedly given by groundfault no later than 2023.[1]

Notes