note names and notation for 53tet

Has someone developed a system for notation and note names for 53 equal
temperement?
I would be interested in.

Hi Stefan,

In my opinion by far most convenient would be to treat 53tet as a Pythagorean temperament (a very good one, much better than 12tet) and use note names and notation according to the chain of fifths.
This way you can use standard western notation and use the enharmonic difference.
A major third is for instance C-E (1/1 81/64) and a diminished fourth is very close to a 5/4 if you're into that kind of harmonic thing (I'm not) and is notated as for instance C-Fb.
Where you get enharmonic equivalence in 12tet at the Pythagorean comma, in 53tet you get enharmonic equivalence at Mercator's comma where for instance Bxx = Gbbb, an interval which is very unlikely to ever be used musically.

-Marcel

> Has someone developed a system for notation and note names for 53 > equal temperement?
> I would be interested in.

Marcel de Velde marcel@... [TUNING] wrote:
> Hi Stefan,
> > In my opinion by far most convenient would be to treat 53tet as a > Pythagorean temperament (a very good one, much better than 12tet) and > use note names and notation according to the chain of fifths.
> This way you can use standard western notation and use the enharmonic > difference.
> A major third is for instance C-E (1/1 81/64) and a diminished fourth is > very close to a 5/4 if you're into that kind of harmonic thing (I'm not) > and is notated as for instance C-Fb.
> Where you get enharmonic equivalence in 12tet at the Pythagorean comma, > in 53tet you get enharmonic equivalence at Mercator's comma where for > instance Bxx = Gbbb, an interval which is very unlikely to ever be used > musically.
> > -Marcel

Although that does work in theory, I don't like going beyond double sharps and flats in a notation, and it's convenient to have a symbol for a comma sharp and flat. I think either the regular Sagittal notation or a mixed Sagittal notation would be best. See page 16 here for the Sagittal notation of 53:

http://sagittal.org/sagittal.pdf

It's basically got symbols for 1, 2, 3, 4, and 5 commas sharp (the flat ones are the same, just inverted). If you don't want to use all of those, you could use the 1 and 2 comma symbols in a mixed Sagittal notation with the regular sharp and flat symbols instead of the 5 comma symbols.

>> Has someone developed a system for notation and note names for 53 >> equal temperement?
>> I would be interested in.
> >

There are at least two systems both for notation and note names for practical use. See that paper:

http://ismir2012.ismir.net/event/papers/223_ISMIR_2012.pdf

There is also a large symbolic data collection that uses this format:

https://github.com/MTG/SymbTr

Notation software for microtonal works including 53-TET:

www.mus2.com.tr

M. Kemal Karaosmanoglu

Thank You so much for the very interesting links and informations!
I will study them!

2016-02-26 2:35 GMT+01:00 Herman Miller hmiller@... [TUNING] <
TUNING@yahoogroups.com>:

>
>
> Marcel de Velde marcel@justintonation.com [TUNING] wrote:
> > Hi Stefan,
> >
> > In my opinion by far most convenient would be to treat 53tet as a
> > Pythagorean temperament (a very good one, much better than 12tet) and
> > use note names and notation according to the chain of fifths.
> > This way you can use standard western notation and use the enharmonic
> > difference.
> > A major third is for instance C-E (1/1 81/64) and a diminished fourth is
> > very close to a 5/4 if you're into that kind of harmonic thing (I'm not)
> > and is notated as for instance C-Fb.
> > Where you get enharmonic equivalence in 12tet at the Pythagorean comma,
> > in 53tet you get enharmonic equivalence at Mercator's comma where for
> > instance Bxx = Gbbb, an interval which is very unlikely to ever be used
> > musically.
> >
> > -Marcel
>
> Although that does work in theory, I don't like going beyond double
> sharps and flats in a notation, and it's convenient to have a symbol for
> a comma sharp and flat. I think either the regular Sagittal notation or
> a mixed Sagittal notation would be best. See page 16 here for the
> Sagittal notation of 53:
>
> http://sagittal.org/sagittal.pdf
>
> It's basically got symbols for 1, 2, 3, 4, and 5 commas sharp (the flat
> ones are the same, just inverted). If you don't want to use all of
> those, you could use the 1 and 2 comma symbols in a mixed Sagittal
> notation with the regular sharp and flat symbols instead of the 5 comma
> symbols.
>
> >> Has someone developed a system for notation and note names for 53
> >> equal temperement?
> >> I would be interested in.
> >
> >
>
>
>