Sorry, I’d rather overlooked this thread.  As a pianist (too loud) and singer, 
I might have something to add; I still have APL (Dyalog) too.

But I don’t know what page 54 refers to. The Schillinger Wiki article doesn’t 
tell me. Perhaps it’s “Cybernetic Music” (or similar) mentioned earlier in the 
thread.  Meanwhile, I’ll investigate “lilypond”,  which I hadn’t heard of.

Cheers,

Mike

Sent from my iPad

> On 22 Apr 2020, at 23:45, Devon McCormick <devon...@gmail.com> wrote:
> 
> Tom - I will be happy to share whatever I do with this.  My main problem is
> my lack of musical knowledge so it's helpful to have my music teacher
> friend look this over.  One thing that confused both of us is the output of
> the "RSLTNT" code on page 54.  I see that you reproduced this in J as
> "resultant" but am unsure how the output, e.g. 3 2 1 3 1 2 3,:2 1 1 1 1 1 1
> as the output from RSLTNT 5 3, is supposed to sound.
> 
> The book says of this output that the "...first line contains the same
> durations derived by the geometric method (the intervals between
> endpoints), and the second line shows the number of 'generators'
> simultaneously 'attacking' each duration."  Looking at the diagram on  page
> 55, I can follow how he generates the first line but am confused about the
> second line.  If the number of generators for the first "3" is 2, then why
> isn't there a 2 for the last "3" as well?  Is it because the beginnings of
> the two attacks are not on the same beat as they are in the first case?
> This seems like the sort of thing that might be more understandable if I
> could hear how this result sounds.
> 
> Thanks for the code.  I don't currently have an APL installed on my machine
> but it would be a good idea for working with this.
> 
> Regards,
> 
> Devon
> 
>> On Wed, Apr 22, 2020 at 5:48 PM Thomas McGuire <tmcguir...@gmail.com> wrote:
>> 
>> Devon,
>> 
>> I believe I have only gotten as far as some of the Rhythm routines. The
>> rhythm code is based on work of Schillinger
>> (https://en.wikipedia.org/wiki/Schillinger_System <
>> https://en.wikipedia.org/wiki/Schillinger_System>} who developed a method
>> back in the early 1900s. Supposedly Benny Goodman, George Gershwin, and
>> Glen Miller were influenced by the method. Cybernetic Music seemed to
>> incorporate the rhythm in the routines for harmonizing a melody and counter
>> point. Those are the parts I haven’t gotten to (and the ones I was most
>> interested in). Much of my problem is that while I know some APL, I found I
>> had to code in APL at times to make sure I was producing equivalent output.
>> It was a pretty tedious process for someone who hadn’t used APL in long
>> time.
>> 
>> If you push further in the text and code up some the routines, I hope you
>> will share. I would be interested in seeing how well they work.
>> 
>> Tom McGuire
>> 
>>> On Apr 22, 2020, at 2:22 PM, Devon McCormick <devon...@gmail.com> wrote:
>>> 
>>> On Mon, Mar 30, 2020 at 3:18 PM Thomas McGuire <tmcguir...@gmail.com
>> <mailto:tmcguir...@gmail.com>> wrote:
>>> 
>>>> For those of you interested in using J as an adjunct to lilypond or
>> other
>>>> such program:
>>>> 
>>>> Making a few changes to the lilypond statements that get prepended and
>>>> appended to the notes generated (in my previous email on the subject).
>> You
>>>> can get lilypond to generate a midi file of the score:
>>>> 
>>>> lilypondhdr =: ('\score{',LF);('\version "2.20.0"',LF);('\relative c''
>>>> {',LF);('\clef treble',LF);('\time 3/4',LF)
>>>> lilypondend =: (('\layout {}',LF);('\midi {}',LF)),<'}'
>>>> 'lilymusic.ly' fwrites~ ; lilypondhdr,(LF,~ each
>>>> lilypondnotes,<'}'),lilypondend
>>>> 
>>>> Basically adding the score tag and inserting '\layout {}’ and ‘\midi {}’
>>>> causes lilypond to generate both a pdf of the score and a midi file that
>>>> GargeBand or other such program can play for you. When I generated
>> MusicXML
>>>> the musescore program could play the tune right from the score.
>>>> 
>>>> Tom McGuire
>> 
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
>> 
> 
> 
> -- 
> 
> Devon McCormick, CFA
> 
> Quantitative Consultant
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
----------------------------------------------------------------------
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