Sesqui means one and one half. So a sesquipedalian likes words that 
are a foot and a half long.

In a sesquialtera proportion, you want, according to Morley
'"three notes are sung to two of the same kinde'" and "Sesquitertia 
is when four notes are sung to three of the same kinde"

And 3/2 is one and one half

See also

http://www.freefictionbooks.org/books/s/20662-shakespeare-and-music-by-edward-w-naylor?start=14

Now, having said that, there are many exceptions. The direct 
mathematical proportion is contradicted in sources dating back to the 
time of Josquin;
understandably, musicians wanted leeway in their proportions, and in 
Mass music proportions were varied to create musical effects.
Towards the end of the renaissance you see a blurring of the 
proportions coinciding with an interest in the theme of 
transformation in music.

But, basically, three notes are sung to two of the same kind, which 
means those notes will be faster.
dt





At 09:40 AM 4/8/2011, you wrote:
>    Could anybody share any information about the execution of the
>    sesquialtera? I've been working on a recercare by Spinacino p.40, and
>    I'm still not sure if the execution is correct.
>
>
>
>
>
>    --
>
>
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