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Re: Compound time signature style

From: Hans Aberg
Subject: Re: Compound time signature style
Date: Thu, 6 Nov 2014 21:05:36 +0100

> On 6 Nov 2014, at 20:49, David Kastrup <address@hidden> wrote:
> Hans Aberg <address@hidden> writes:
>>> On 6 Nov 2014, at 14:46, David Kastrup <address@hidden> wrote:
>>> Dan Eble <address@hidden> writes:
>>>>> Am 04.11.2014 um 07:48 schrieb David Kastrup:
>>>>>> Dan Eble <address@hidden> writes:
>>>>>>> If the simple-fraction components of a compound time signature 
>>>>>>> respected the time signature style, would that qualify as useful or as 
>>>>>>> undesirable?  For example,
>>>>>>> 2 + 3                2 + 3   4
>>>>>>> ----- + C     vs.    ----- + -
>>>>>>>   4                    4     4
>>>>>> Undesirable in my book.
>>>> It seems everyone agrees for once. :)
>>>> One more case: \compoundMeter #’(n d).  The current implementation
>>>> prints this as a fraction (n/d), but I plan to change it to honor the
>>>> style unless somebody objects.
>>> I lean towards not consulting the style here.  \compoundMeter to me
>>> feels like it should just be numeric.
>> A compound meter can have the same iterated subaccent structure as
>> otherwise indicated in the staff by beaming, only that it occurs
>> metrically. In practise, though, one prefers exceptions. So one idea
>> to implement it would be to have a sequence of patterns recognizing
>> metric rhythms, each assigning a formal compound metric structures,
>> the latter is what is used to typeset the beaming structure.
>> A brief description of this compound metric structure:
>> The smallest structure is "in one”: only an accent at the
>> beginning. Write that as I2, I3, I4, ... (For example, Beethoven’s 5th
>> symphony is normally played "in one", though written in 2.)
>> Then one can combine these using "+" and “(...)": a_1 + a_2 + … + a_k
>> means that there is a stronger accent in the beginning of a_1 than on
> Hans, I happen to be an engineer.  Disciplines like Theoretical
> Electrical Engineering work somewhat like telling a mathematician what
> you are currently working with, have him explode into generalized sets
> of equations, work through the notation, reconvert into engineer math
> and figure out how it may be applied to your actual problem.
> This feels somewhat similar.  In this particular case, I fail to
> reconnect the dots, however.  I just don't see how your math is supposed
> to relate to figuring out whether to typeset C or 4/4 when writing
> \compoundMeter #'(4 4).
> Can you spell out what question your reply is supposed to be an answer
> to?

You wanted \compoundMeter to be numeric, so I gave a possible algorithmic 
structure, reiterating discussions of the past on LilyPond lists. Once one has 
that, the time signature derives from that, the question you are asking about.

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