User:Eliora/5ed100: Difference between revisions

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'''5ed100''', or '''the stellar magnitude tuning''', is an equal-step tuning with each pitch being about 2.512 times larger than the other, the number known as the Pogson's ratio.

'''5ed100''', '''the stellar magnitude tuning''' or '''5 equal divisions [[Ed100|of the double decave]]''', is an equal-step tuning with each pitch being about 2.512 times larger than the other, the number known as the Pogson's ratio.

== Theory ==

The tuning is pretty meaningless as far as pitches go, since there's only 7-8 steps of it in the entire human hearing range, but it has a real life equivalence to astronomy - each step of it is known as the Pogson's ratio and it has an application of being the factor which sets two stars being 1 magnitude apart.

The tuning is pretty meaningless as far as pitches go, since there's only 7-8 steps of it in the entire human hearing range, but it has a real life equivalence to astronomy - each step of it is known as the Pogson's ratio and it has an application of being the factor which sets two stars being 1 magnitude apart. This means subdividing it makes a meaningful major tenth of 1594.525 cents.

=== Tempered commas ===

Astronomers might sometimes round 2.512 to 2.5, which leads to confusion with the other 2.5 - that is the logarithm multiplier required for base-10 logarithm conversion, with the formula being involved 2.5 log10(m1 - m2). The factor of 2.5 is simply coincidentally close enough to the 5th root of 100.

If this is taken as a comma to be tempered, it results in 100 / 97.65625 = 1.024 = [[128/125]], the lesser diesis.

== References ==

* Wikipedia Contributors, [[Wikipedia:Magnitude (astronomy)|Magnitude (astronomy)]].

[[Category:Sonifications]]

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-'''5ed100''', or '''the stellar magnitude tuning''', is an equal-step tuning with each pitch being about 2.512 times larger than the other, the number known as the Pogson's ratio.
+{{Editable user page}}
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+{{Infobox ET|debug=1}}
+'''5ed100''', '''the stellar magnitude tuning''' or '''5 equal divisions [[Ed100|of the double decave]]''', is an equal-step tuning with each pitch being about 2.512 times larger than the other, the number known as the Pogson's ratio.
 == Theory ==
-The tuning is pretty meaningless as far as pitches go, since there's only 7-8 steps of it in the entire human hearing range, but it has a real life equivalence to astronomy - each step of it is known as the Pogson's ratio and it has an application of being the factor which sets two stars being 1 magnitude apart.
+The tuning is pretty meaningless as far as pitches go, since there's only 7-8 steps of it in the entire human hearing range, but it has a real life equivalence to astronomy - each step of it is known as the Pogson's ratio and it has an application of being the factor which sets two stars being 1 magnitude apart. This means subdividing it makes a meaningful major tenth of 1594.525 cents.
 === Tempered commas ===
 Astronomers might sometimes round 2.512 to 2.5, which leads to confusion with the other 2.5 - that is the logarithm multiplier required for base-10 logarithm conversion, with the formula being involved 2.5 log10(m1 - m2). The factor of 2.5 is simply coincidentally close enough to the 5th root of 100.
 If this is taken as a comma to be tempered, it results in 100 / 97.65625 = 1.024 = [[128/125]], the lesser diesis.
 == References ==
 * Wikipedia Contributors, [[Wikipedia:Magnitude (astronomy)|Magnitude (astronomy)]].
+[[Category:Sonifications]]