Seascape comma: Difference between revisions

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'''160083/160000''', the '''seascape comma''', otherwise described as the ''undecimal hemifourths comma'', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] measuring about 9/10 of a [[cent]].


'''160083/160000''', the '''seascape comma''', otherwise described as the ''undecimal hemifourths comma'', is an [[11-limit]] [[unnoticeable comma]] measuring about 9/10 of a cent. Tempering it out gives the highly accurate rank-4 [[Seascape|seascape temperament]].
It factors into simpler commas as ([[2401/2400]])⋅([[9801/9800]]).  


The name comes from the typical base-10 fractional representation of this interval bearing a striking resemblance of that of the [[landscape comma]], 250047/250000, while only adding 11 to the mix of prime factors, and being of a relatively similar size.
== Temperaments ==
[[Tempering out]] this comma gives the highly accurate rank-4 [[Catalog of rank-4 temperaments#Seascape (160083/160000)|seascape]] temperament, which splits the perfect fourth, [[4/3]], into two intervals of [[231/200]].


== Etymology ==
This comma was named by [[Tristan Bay]] in 2024, from the typical base-10 fractional representation of this interval bearing a striking resemblance of that of the [[landscape comma]], 250047/250000, while only adding 11 to the mix of prime factors, and being of a relatively similar size.
[[Category:Seascape]]
[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 12:16, 30 June 2026

Interval information
Ratio 160083/160000
Factorization 2-8 × 33 × 5-4 × 72 × 112
Monzo [-8 3 -4 2 2
Size in cents 0.8978448¢
Name seascape comma
Color name bilozogugu 2nd, 1oozzg42,
bilozogugu comma
FJS name [math]\displaystyle{ \text{dd2}^{7,7,11,11}_{5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 34.5762
Weil norm (log2 max(n, d)) 34.5769
Wilson norm (sopfr(nd)) 81
Comma size unnoticeable
Open this interval in xen-calc

160083/160000, the seascape comma, otherwise described as the undecimal hemifourths comma, is an unnoticeable 11-limit comma measuring about 9/10 of a cent.

It factors into simpler commas as (2401/2400)⋅(9801/9800).

Temperaments

Tempering out this comma gives the highly accurate rank-4 seascape temperament, which splits the perfect fourth, 4/3, into two intervals of 231/200.

Etymology

This comma was named by Tristan Bay in 2024, from the typical base-10 fractional representation of this interval bearing a striking resemblance of that of the landscape comma, 250047/250000, while only adding 11 to the mix of prime factors, and being of a relatively similar size.