Re: Irrational time signature and tuplets

2014-06-13 Thread Hans Aberg
On 13 Jun 2014, at 01:26, Mark Stephen Mrotek carsonm...@ca.rr.com wrote: Thank you for your detailed and informative response. I shall take time to study it and the references that you provide. You are welcome. In short, one can use any mathematically irrational number and work it back to

Irrational time signature and tuplets

2014-06-12 Thread Hans Aberg
How might one display the time signature 8 + 2 sqrt(5) over 8, and the tuplet 1:1 + sqrt(5), where “sqrt is the square root sign? - It is for experimenting with a popular meter in 12 [1-2]. 1. https://en.wikipedia.org/wiki/Leventikos 2. https://www.youtube.com/watch?v=vYR_pvRWO_g

Re: Irrational time signature and tuplets

2014-06-12 Thread David Kastrup
Hans Aberg haber...@telia.com writes: How might one display the time signature 8 + 2 sqrt(5) over 8, and the tuplet 1:1 + sqrt(5), where “sqrt is the square root sign? - It is for experimenting with a popular meter in 12 [1-2]. 1. https://en.wikipedia.org/wiki/Leventikos 2.

Re: Irrational time signature and tuplets

2014-06-12 Thread Malte Meyn
This can be done in LilyPond without using LaTeX: \version 2.19.6 { \override Staff.TimeSignature.stencil = #ly:text-interface::print \override Staff.TimeSignature.text = \markup \override #'(baseline-skip . 0) \center-column \number { \concat { 8+2 \tiny √ \hspace

Re: Irrational time signature and tuplets

2014-06-12 Thread Hans Aberg
On 12 Jun 2014, at 13:21, Malte Meyn lilyp...@maltemeyn.de wrote: This can be done in LilyPond without using LaTeX: I have made an example incorporating your code; it looks pretty neat. For the midi, I wrote out the ornaments in a separate version using the 5/3 ratio, so as to be closer to

Re: Irrational time signature and tuplets

2014-06-12 Thread Hans Aberg
On 12 Jun 2014, at 11:54, David Kastrup d...@gnu.org wrote: Hans Aberg haber...@telia.com writes: How might one display the time signature 8 + 2 sqrt(5) over 8, and the tuplet 1:1 + sqrt(5), where “sqrt is the square root sign? - It is for experimenting with a popular meter in 12 [1-2].

Re: Irrational time signature and tuplets

2014-06-12 Thread Hans Aberg
On 12 Jun 2014, at 13:21, Malte Meyn lilyp...@maltemeyn.de wrote: This can be done in LilyPond without using LaTeX: Oops, a typo in the code: the tuplets should be 2:(1+sqrt 5) - I forgot to change in your code. So hope it’s OK now. IrrationalMeter.ly \version 2.19.6 \header{

Re: Irrational time signature and tuplets

2014-06-12 Thread Malte Meyn
On 12.06.2014 22:25, Hans Aberg wrote: Tying this back to LilyPond, the graphical representation will look the same, only that the meter and the tuplet numbers are changed. There is another problem in the MIDI file: how to make a better approximation than 3:2. The next is 5:3, but then one

RE: Irrational time signature and tuplets

2014-06-12 Thread Mark Stephen Mrotek
@gnu.org] On Behalf Of Hans Aberg Sent: Thursday, June 12, 2014 12:33 PM To: Malte Meyn Cc: lilypond-user@gnu.org Subject: Re: Irrational time signature and tuplets On 12 Jun 2014, at 13:21, Malte Meyn lilyp...@maltemeyn.de wrote: This can be done in LilyPond without using LaTeX: I have made

Re: Irrational time signature and tuplets

2014-06-12 Thread Hans Aberg
On 12 Jun 2014, at 22:30, Mark Stephen Mrotek carsonm...@ca.rr.com wrote: (1+sqrt 5)/2 = 1.618... is the golden ratio, phi. https://en.wikipedia.org/wiki/Golden_ratio Do you know of other instances of this ratio in music? The WP [1] mentions one other case where irrational in music is

Re: Irrational time signature and tuplets

2014-06-12 Thread Hans Aberg
On 12 Jun 2014, at 22:28, Malte Meyn lilyp...@maltemeyn.de wrote: I’m not sure whether I understood correctly, but instead of writing something like \tuplet 3/2 { c8 d e } and hiding the tuplet number (and bracket), you can simply write c8*2/3 d e I haven’t used that latter notation,

RE: Irrational time signature and tuplets

2014-06-12 Thread Mark Stephen Mrotek
-user@gnu.org Subject: Re: Irrational time signature and tuplets On 12 Jun 2014, at 22:30, Mark Stephen Mrotek carsonm...@ca.rr.com wrote: (1+sqrt 5)/2 = 1.618... is the golden ratio, phi. https://en.wikipedia.org/wiki/Golden_ratio Do you know of other instances of this ratio in music? The WP