Re: [Harp-L] Re: legato

[Music Cal <macaroni9999@xxxxxxxxx>]

Roger

Thanks for the calculation!

So with Legato 93% of all transitions require a choice to be made between
the two ways in which the transition can be played. It would be interesting
to measure/estimate the time spent making this choice  (including context
switching) so that the fraction of time spent making this choice (say for
eighth note phrases) at varying tempos could be estimated.  At what tempo
is 50% of one's time spent making such choices during improvisation?

Daniel


On Tue, Aug 12, 2014 at 9:39 PM, Roger Myerson <rmyerson@xxxxxxxxxxxx>
wrote:

> If I counted correctly, a chromatic with standard Solo tuning has 4 notes
> that are only blows, 6 notes that are only draws, and 2 notes that can be
> played either way.  So if you pick two randomly sampled notes, the
> probability that they can be played in the same breath direction in Solo
> tuning is  (4*5/11+6*7/11+2)/12 = 63.6%.
>
> In a chromatic with with Legato tuning, 2 notes are only blows, 2 notes
> are only draws, and 8 notes can be played either way.  So if you pick two
> randomly sampled notes, the probability that they can be played in the same
> breath direction in Legato tuning is (2*9/11+2*9/11+8)/12 = 93.4%.
>
> Of course you don't really want to talk about random pairs of notes.
>  Smooth transitions between notes that are close together may be
> particularly important.  Some calculations about those can be found at
> http://www.slidemeister.com/forums/index.php?topic=3132.330
> -Roger
>
> /From/: David Fairweather, on 12 Aug 2014
>
>  Daniel asked:
>>
>> "Of all the transitions between two notes
>> what fraction can be done without a breath change? What is that fraction
>> for the solo pitch layout?"
>>
>> I'm not in the mood to do math right now.  Let's just say every note in
>> the
>> chromatic scale can be played  either as blow or draw except Bb, B, Eb &
>> E. Bb
>> & Eb are strictly blow.   B & E are strictly draw.
>>
>> All these features are well discussed on Slidemeister.   No need to repeat
>> them here.   Just look up "Fourkey" or "LeGato" over there and you'll find
>> all the information you need.
>>
>
> --
> Roger B. Myerson, Glen A. Lloyd Distinguished Service Professor
> Department of Economics, University of Chicago
> 1126 East 59th Street, Chicago, IL 60637
> Phone: 773-834-9071, Fax: 773-702-8490
> http://home.uchicago.edu/~rmyerson/
>
>